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Information, Syllabi, Homework, and Resources for Dr. Mohsen Maesumi's Courses

The History and the Philosophy of this Site
I became interested in Internet-based instruction in 2001. I developed a set of videos for Calculus I which were used as the backbone of a course, MATH 2413, in 2006. I called it a "Now U-Try" course. Students viewed the videos at home; and class time was used exclusively for problem solving and discussion by students. Such an arrangement is nowadays called a "flipped" course. This was very effective but not so popular.
Since that experiment I have modified my policies so that my courses reflect an "open" environment. This means students have access to their handwritten lecture and problem notes on exams, other than that the classes are either traditional or lab-based and collaborative. Elaborate pre-requisite skills are delegated to a software whenever feasible. Open courses rely on a steady stream of substantial homework assignments, and these count heavily toward the final grade. Students benefit by making sure their notebooks are well-arranged and searchable, with index, table of contents, page numbers, definitions, theorems, graphs, methods, tables, examples, computer programs and worked-out problems.

Caution

Caution

To the Students:
We will make substantial use of Internet-based instruction; and you need to be aware that, as it is with most technological breakthroughs, there are major benefits as well as risks associated with being online. Some of the risks are related to privacy, digital security, psychological dependency, distracted driving, repetitive motion injury, ergonomic injury, and the drawbacks of being motionless. Students are expected to pro-actively guard against such risks. You may also want to read an article regarding effects of exposure to radio-frequency radiation.


Cardinal

  Miscellaneous and of Interest
  A. Mathematics of Democracy: Making Sense Out of Consensus. Is there a perfect voting system? Here is a surprising answer.
  Find about the mathematical mysteries of "the best" voting systems and the search for that holy grail.
  Article by Dana Mackenzie for Society for Industrial and Applied Mathematics (SIAM).
 B. Richard Feynmann, The Messenger Series, seven physics lectures for general audiences, 1964, Cornell University. Also .
 C. A homework from 3800 years ago. Calculate  2  to six decimal places!
 D. Nature by Numbers, Cristóbal Vila's fanciful tribute to the world of Fibonacci numbers.
 E. 3Blue1Brown, Grant Sanderson.
 F. Mathologer, Burkard Polster.
 G. Archimedes, Chris Rorres.
 H. A Walk in the Park, Malcolm Roger Smyth.
  I. Fractals of 3n+1, Inigo Quilez.
 J. Numbers and our world One, Two, Three, Four, Five, ...

Announcements
Upcoming university and departmental events:

Dog ate homework

Courses Taught

General Information

Class Policies

Partial Differential Equations, 4302/5325 Office Hours, Tutor/LU Schedule Student Email
Ordinary Differential Equations, 3301 Hints for Desmos Faculty Email
Numerical Analysis, 4315/5315 WebAssign Hints/Errors Calculators
Linear Algebra, 2318 Specialized Online Calculators Absence and Attendance
Pre Calculus II, 2312 Downloadable Software Recommendations
Calculus I, 2413 Online Course Repositories Appeals and Students' Data
Statistics, 1342 Games Class Regulations Sheet
Calculus II, 2414 Access Code Honor Code
Calculus III, 3435 Java Warning Late Homework
Precalculus I, 2311 Cost of Math Errors Student Resume
Real Analysis, 3380 On Learning Privacy Issues
Complex Analysis, 4310 Homework Help Votes, Time Extensions
Discrete Mathematics, 2305 Handwritten Math ForOfficeUse
TeX Evaluations
Competitions More FAQs

Time Out Chair

 

COURSES

Caution

 
Calculus I, Math 2413
Last update: Fall 2015.
  1. Resources:
    1. Video lectures by Maesumi, from prior years.
      Most of the apps in this link are Java based, so read the Java Warning below. The page is best viewed on Internet Explorer or FireFox or Adobe Reader.
    2. Calculus on Maxima (A Computer Algebra System is used to help with concept of calculus.)
    3. To review, or to check that you have the prerequisite for this course:
      Pre Calculus Text 3rd ed, or 4th Beta version, by Carl Stitz and Jeff Zeager.
      A short summary appears in First chapter of the text we use, by Larson.
    4. Help with homework and lectures:
      • Look up similar problems in the text.
      • WebAssign gives a chance to see a solution and then asks you to do a similar problem.
      • WebAssign may have a video for you to watch.
      • CalcChat.com has solutions to most odd numbered problems of the text.
      • My lectures from prior years are available.
      • Mathematics department runs free tutoring in L209.
      • Study in a group. L211 can be a good place to start a study group.
      • DO ask your questions in class.
      • Submit questions via WebAssign.
      • Come to Office.
    5. Homework is to be done on WebAssign. Check WebAssign Hints 1 and WebAssign Hints 2
    6. Apps and demos
      1. Apps for Calculus I Marc Renault, Shippensburg University. GeoGebra-based.
      2. Kepler's Laws of Planetary Systems (needs Flash, use IE or allow Chrome to run Flash)
      3. epsilon-delta definition of limits 1. (GeoGebra) Use a function with small slope to improve visiblity.
      4. epsilon-delta definition of limits 2, (GeoGebra)
      5. Visual differentiation 1. Slide the dot on x-axis to see tangent line move.
      6. Visual differentiation 2. Design a polynomial by moving the seven red dots. Then take its derivative.
  2. Information:
    1. Calculus I Fall 2015 syllabus
    2. Homework list for this section will be gradually placed on WebAssign, (our list will be a bit different from the the departmental list )
    3. Homework is to be done on WebAssign. Check WebAssign Hints 1 and WebAssign Hints 2
    4. Book options: (There are several choices. If you have questions ask before purchasing anything.)
      1. The campus book stores sell the custom edition loose leaf version bundled with WebAssign for about $170. Follow the instruction that comes with your package. Loose leaf editions cannot be sold back to store once you open them.
      2. Another option is to buy the WebAssign directly from the publisher. If you are taking calculus I and II (and perhaps III) then you need the multi-term WebAssign. This sells for $118. WebAssign has the e-book version of the text. You need to be online to read the book. No offline/downloadable version is on WebAssign. Printing is allowed but is not efficient.
      3. If you buy WebAssign from third-party sellers or students make sure it is unused and check its "prefix" with the one for Larson 6th edition from this list WebAssign Prefix Check. (For example you can buy it from students who bought the package last year but their instructor did not use WebAssign.)
      4. Older editions of the text (with slightly different page and problem numbers etc) are also available online.
      5. To register your WebAssign you need a so called class key .
      6. To purchase from the publisher of WebAssign and/or register go to WebAssign website. During registration
           Click on "STUDENT"
           Click on "I Have a Class Key"
           Use the class key written in red above.
        Check that my name (Maesumi) and your section 2413-4a or 2413-4b show up.
        When you buy from the publisher you generally have a grace/trial period of two weeks to pay, and another grace period to get a refund if you drop the course.
        Keep a record of your password. Do not register multiple times. Access code includes the e-book.
        For the multi-term version this is an LOE (lifetime of Edition) book giving you access so long as the current edition is in use. For a single term version it is just for this semester.


 
Linear Algebra, MATH 2318 (formerly 3328)
Last update: Spring, 2019
Section 15, TR, 2:20-3:40, Maes 212B.
Tentative test days: Thursdays, February 14, March 21, April 18,
Final Tuesday May 14, 2:00-4:30
Lecture notes (These are easiest to see on IE/Edge Browser. But you can also download them on other browsers.)
02/26/2019 How to solve linear systems, Lecture 11.
02/28/2019 Echelon form, Row Reduced Echelon, Gaussian elimination, Gauss-Jordan, free/independent variable, rank .
03/05/2019 Free vaiables, Gauss-Jordan method, intersection of two lines in 3d, adjusting a parameter to make a system have 0/1/infinite solutions .
03/07/2019 Applications of linear systems: management, chemistry, networks, circuits .


LinearAlgebra

A focus point for Linear Algebra and Differential Equations
Another name for these courses is The Theory of Vibrations. All structures vibrate, from tiny molecules to gargantuan skyscrapers. An engineer wants to either enhance these vibrations, as in the case of the electromagnetic waves enetring a receiver of an electronic equipment like the antenna of a radio or TV, or he/she wants to dampen the vibrations, as in the case of cars, buildings and bridges.
Look at the following videos. It is clear that we need to understand how things vibrate in order to design them. Here is the famous Tacoma Narrows Bridge and here is a simple experiment of Three structures that respond to a vibrating foundation . As a future engineer you are likely to be involved in the design of structural elements to counter the vibrations as in a The tuned mass damper . When it is come to electronics we typically want to accentuate vibrations in order to have the best possible reception. That is what we do on a vintage radio, for example, when we turn the tuner knob to get the best signal. Here is an optional Differential Equations Project in relation to this topic.
If we try to understand vibrations of the components of a system with respect to each other, as you see in the following videos: triple spring or double pendulum, then we need a substantial amount of linear algebra.
Of course, differential equations and linear algebra are topics that have a very wide reach and many applications. The focal point presented above is just one of many, vibration is however a topic that everyone can easily relate to. It is easy to see why differential equations play such a central role in phyics and engineering. The physical world is in a state of change. We want to understand, control, and predict these changes. "Change" is quantified by derivative, and "change" is related to "the current value" of the quantity that is changing. That is exactly what a differential equation is, an equation that relates the derivative to the function, as in dy/dt = 3y. This is an equation that says y is a function of t with the property that its derivative is three times the function itself.
When we consider the interaction of amny changing components the we are dealing with a "system". The study of the change in a system then requires linear algebra as well as differential equations.
  1. Resources:
    1. Essense of Linear Algebra, Grant Sanderson
    2. Old Video Lectures WIN HTML + WMV or MAC/WIN PDF + MOV/MPEG, Maesumi, based on Richard Hill text.
    3. 3D Cartesian Coordinates
    4. 3D Vector Operation Plotter
    5. Linear combination of two vectors in 2d
    6. Span of two vectors in 3d use IE/Edge, or download and use flash.
    7. Force diagram for block on inclined plane
    8. Visualization of the intersection of three planes Wolfram Mathematica, requires CDF player, download file to run
    9. Linear Algebra Toolkit, Calculator by Przemyslaw Bogacki, Old Dominion University
    10. Linear Algebra Calculator, Gang XIAO.
    11. Interactive Linear Algebra Exercises, Gang XIAO. Enter "linear algebra" as a search term.
    12. Linear Algebra Demos, Bates College.
    13. Row Reducer, step-by-step Gaussian/elementary operations, by Dan Gries.
    14. Matrix Multiplcation Demo, Wolfram Mathematica,requires CDF player, download file to run.
    15. 2D Mapping of a region, D.Q. Nykamp, University of Minnesota. (Interactive)
    16. 2D Mapping of letter F, Wolfram Mathematica, requires CDF player, download file to run.
    17. 2D Mapping, P. Falstad. (Interactive).
    18. 3D Mapping, D.Q. Nykamp, University of Minnesota. (Partially interactive)
    19. Determining Eigenvectors by Exploration, D.Q. Nykamp, University of Minnesota.
    20. Exploration of Eigenvectors, Strang, MIT.
    21. T^N, a linear Algebra Game, Twist, Tumble and Travel to your Target; A Transformation Teaser by Andries van Dam and Jean R. Laleuf, Brown University
      (Picture of a house is given, you are to translate, rotate, reflect, and stretch it until it fits into a target image.)
    22. Coupled Oscillators triple spring (Matthew Collett) or double pendulum, Understanding this phenomena requires concepts from this course and 3301 (modeling of the physics as a system of second order differential equations and the eigen analysis of the resulting matrix).
    23. Spanning sets: Example of "Feasible Space" from other fields of science and engineering:
      Kinght Tour in Chess
      Robotic Arm
      Ray tracing
    24. A system has many interacting elements, as in a bridge: Bridge 1, Bridge 2, Bridge 3
    25. A linear system can be the result of a discretization process, breaking a continuous event into a finite set of interacting elements, as in a (N*M)^2 linear system resulting from a N*M imaginary grid for discretization of the steady state heat equation on a metal plate.
  2. Next Steps:
    If you are interested in a more advanced treatment there are many online resources for linear algebra. Here is a sample:
    1. 18.06 Linear Algebra, Dr. Strang, MIT, archived course.
    2. 18.06 Linear Algebra, Most recent class, MIT.
    3. Linear Algebra: Foundations to Frontiers, Course, Robert van de Geijn, Dr. Maggie Myers, The University of Texas at Austin.
    4. Linear Algebra: Foundations to Frontiers, (offerred from time to time on edX platform), Course, Robert van de Geijn, Dr. Maggie Myers, The University of Texas at Austin.
    5. A First Course in Linear Algebra, textbook by Robert A. Beezer.
    6. Linear Algebra, textbook by Jim Heffereon.
    7. Introduction to Matrix Algebra, textbook by Autar Kaw.
    8. Elementary Linear Algebra, Lecture Notes, Keith Matthews.
    9. Vector Algebra, Interactive text by Duane Q. Nykamp, University of Minnesota.
  3. Information:
    1. Syllabus Linear Algebra Spring 2019 Section 15
    2. Homework is to be done on WebAssign. For syntax hints and dealing with errors check
      WebAssign Hints 1 and
      WebAssign Hints 2 and
      The first homework on webassign.
    3. If you are buying your access code from Cengage then pay attention to the Unlimited subscription offered by them. If you are buying items from Cengage for more than one course it is likely that the subscription plan will cost you less than individual purchases.
    4. Registration on WebAssign is required. Owning a physical copy of text is optional. Text book: Linear Algebra: A Modern Introduction, 4e, by David Poole.
    5. Book and Access Options: You have several choices:
      1. Purchase WebAssign access code. It has ebook of text in it. $100 from WebAssign. The ebook is not downloadable, you have to be online to read it.
      2. Purchase custom package from KampusKorner or Campus Bookstore. It has loose leaf edition of textbook bundled with WebAssign. This costs about $50 more but is a better deal because you can read the text offline. Use a hole punch strengthener to reinforce the text and a binder to keep your book in good shape!
        Loose leaf textbooks usually cannot be sold once opened, but if you take good care of it KampusKorner or next semester students or some online sites "might" buy it back. Hopefully you become interested and read the whole book later!
      3. Purchase either one from third-party sellers. Unused/unregistered WebAssign access code (say from another course) might apply to this course as well. For the correct prefix Check Here. (This is a gray area so proceed with caution.) An older/used edition of text, typically available at nominal cost, can be useful for off-line reading.
      4. To purchase and/or register access code go to WebAssign website. During registration
           Click on "STUDENT"
           Click on "I Have a Class Key"
           Use the class key written in red below for Spring 2019. Enter each part in its box.
           lamar    4807    7615      
           Check that it is for Lamar, Linear Algebra, Maesumi, MATH 2318, current semester.
        When you buy directly from WebAssign you generally have a grace/trial period of two weeks to pay, and another period to get a refund if you drop the course.
        Keep your receipt.
        Keep a record of your password.
        Do not register multiple times.
        Enter your name as it is on class roll.
        Protect your password.
        This is an LOE (Lifetime of Edition) book giving you access so long as the current edition is in use.


 
Ordinary Differential Equations, MATH 3301
Last Update: Spring 2019.
Section 13, TR 11:10-12:30, Maes 212B
Tentative Exams dates: Thursdays, February 14, March 21, April 18,
Final Thursday May 9 , 11:00-1:30.

Lecture notes (These are easiest to see on IE/Edge Browser. But you can also download them to view.)
02/26/2019 Applications of ODEs in Finance and Rocket Position Calculation.
02/28/2019 Linear vs Nonlinear, Domain of existence, fall under drag force .
03/05/2019 Justification of 2nd order ode's from dynamics and F=ma, Linear constant coefficient cases (distinct real, complex conjugate, identical roots), initial conditions .
03/07/2019 examples of the three cases (distinct real, complex conjugate, identical roots) with initial conditions, Euler theorem, complex exponential .

Attractor

A focus-point for Linear Algebra and Differential Equations
Another name for these courses is The Theory of Vibrations. All structures, from tiny molecules to gargantuan skyscrapers, vibrate. An engineer wants to either enhance these vibrations, as in the case of the electromagnetic waves enetring a receiver of an electronic equipment like the antenna of a radio or TV, or he/she wants to dampen the vibrations, as in the case of cars, buildings and bridges.
Look at the following videos. It is clear that we need to understand how things vibrate in order to design them. Here is the famous Tacoma Narrows Bridge and here is a simple experiment of Three structures that respond to a vibrating foundation. As a future engineer you are likely to be involved in the design of structural elements to counter the vibrations as in a The tuned mass damper. When it comes to electronics we typically want to accentuate vibrations in order to have the best possible reception. That is what we do on a vintage radio, for example, when we turn the tuner knob to get the best signal. Here is an optional Differential Equations Project in relation to this topic.
If we try to understand vibrations of the components of a system with respect to each other, as you see in the following videos: triple spring or double pendulum, then we need a substantial amount of linear algebra.
Of course, differential equations and linear algebra are topics that have a very wide reach and many applications. The focal point presented above is just one of many; as vibration is a topic that everyone can easily relate to. It is easy to see why differential equations play such a central role in phyics and engineering. The physical world is in a state of change. We want to understand, control, and predict these changes. "Change" is quantified by derivative, and when "change" is related to "the current value" of the quantity that is changing then a differential equation is born. A famous differntial equation is Newton's law F=ma. The acceleration is a, which is the derivative of velocity v, which it turn is the derivative of position x with respect to time t. A mechanical problem is the description of the force F in terms of t,x, and v. Hence a problem in mechanics is immediately a differential equation. A differential equation, in general, is an equation that relates the derivatives of a function to the function itself, as in the simple example dy/dt = 3y. This is an equation that says y is a function of t with the property that its derivative is three times the function itself.
When we consider the change and interaction of several components of a structure then we are dealing with a "system". The study of the change in a system then requires linear algebra as well as differential equations.
  1. Resources:
    1. Direction Field Plotter, John Polking, Rice University.
      (You need to install JAVA/JRE first. Then tap on "dfield.jar" on above page and download to your computer.) A manual by Nancy Chan, Harvard, 2004.
      Software also works on Unix-type operating systems.
      For MAC, software works only on Mozilla. MAC has its own internal software called Grapher.
      Using Grapher on MAC for ODEs, Scott Taylor, Colby College.
    2. Desmos a graphing calculator, Usage Hints, User Guide, Help, YouTube Channel, Blog
    3. Multiple Integration by Parts, a short cut similar to the ladder tableau method.
    4. ODE Videos by Maesumi Win, HTML + WMV or Mac/Win HTML + MOV
    5. Publisher's companion web site for the text, 8th ed, 9th ed, 9th+BVP, 10th ed, 10th+BVP, 11th ed, 11th+BVP,
    6. Examples of fields: Velocity Field in Hurricane Sandy, Magnetic Field 1, Magnetic Field 2, Magnetic Field video, Electric Field +-, Gravitational Field Earth-Moon, Saturn's Polar Hexagonal Vortex,
    7. Direction Field Plotter for single and system of 2 equations, Darryl Nester, Bluffton University.
    8. Direction Field Plotter for 2nd order and a system of 2 1st order equations, Stefan Waner.
    9. Resonance Simulator, by Carl Wieman, University of Colorado. Requires Flash, or use IE.
    10. Coupled Oscillators triple spring or double pendulum. Understanding this phenomena requires concepts from this course (modeling of physical systems as ODEs) and linear algebra. N-Spring.
    11. Acoustics and wavesDan Russell, Penn State
    12. Beat Wolfram Mathematica, requires CDF player.
    13. Beats YouTube, SFC, Interference of two waves which have nearby frequencies causes beats. We will see this in section 3.7.
    14. A simple pendulum.
    15. Graphical solution of second order ODE Mathematica Widget.
    16. Physics Science Resource Center, Pearson Publications. May require Adobe Flash. Use IE.
    17. Differentiation and Integration Formulas, Review from Calculus I and II. You need to be comfortable with these formulas before you start this course.
    18. Partial Fraction Decomposition App, For use with some Laplace Transform problems.
    19. A basic Euler solver for y'=f(x,y), To run it you need an account at MathWorks.
      To get an account do as follows:
      Go to Lamar Matlab site
      Choose Cloud-Based
      Follow instructions (it will ask you to make an account at MathWorks, using your Lamar email address.)
      Once you have downloaded Matlab run it.
      Copy-paste the program in the Editor Window of Matlab and save it.
      Read the program to understand the steps.
      Run it in the Command Window by a command as indicated in the file you downloaded, e.g.
      myeuler(1000,1,3,10,'y');
      Make sure you understand it well enough to be able to edit it for your assignments.
    20. Johann Bernoulli and The Cycloid MyPhysicsLab, Vsauce, MathCurve, MacTutor, 3Blue1brown,
    21. Oscillations of a Single Spring, EriK Neumann.
    22. Mechanical Oscillation, Wolfram Demonstration, CDF player required.
  2. Next Steps:
    If you are interested in a more advanced treatment there are many online resources for ODEs. Here are a few:
    1. ODE at MIT, Video of lectures given by Arthur Mattuck and Haynes Miller, mathlets by Huber Hohn, at Massachusetts Institute of Technology. Includes transcript, tools, exams, etc.
    2. Differential Equations in Action, Instructor: Jorn Loviscach, Course Developer: Miriam Swords Kalk.
    3. Differential Equations, KhanAcademy.
    4. Elementary Differential Equations with Boundary Value Problems, textbook by William E. Trench.
    5. Introduction to Differential Equations, textbook by Jeffrey R. Chasnov.
    6. Introduction to Ordinary Differential Equations with Mathematica, An Integrated Multimedia Approach, By Gray, Mezzino and Pinsky.
  3. Information:
    1. ODE Syllabus Spring 2019
    2. If you are buying your access code from Cengage then pay attention to the Unlimited subscription offered by them. If you are buying items from Cengage for more than one course it is likely that the subscription plan will cost you less than individual purchases.
    3. ODE Homework is to be done on WebAssign. Check WebAssign Hints 1 and WebAssign Hints 2.
    4. If you buy WebAssign from third-party sellers or students make sure it is unused and check its prefix with WebAssign. (this is a gray area so proceed cautiously)
    5. To purchase an access code or to register go to WebAssign. During registration on this site
         Click on "STUDENT"
         Click on "I Have a Class Key"
         Use the class key written in red below. Enter each of the three pieces in its own box.
         Class Key for ODE class is (check verification reply before paying to make sure you do not register in the wrong or old classes!) :
               lamar     5375     5792
      Make sure you see my current course in response, confirming that you registered for the right course.
      Homework and ebook code from the publishing company is $90.70 for single term subscription (Life Of Edition, LOE, is extra if available). The ebook is not downloadable, you have to be online to read it.
      If you get Cengage Unlimited Subscription plan please note that the physical copy of this book is NOT in their rental plan as the book is not published by Cengage.
      Any edition of the book is equally useful for offline reading.
      Some of the various editions look like these if you want to purchase it online 8th ed, 9th ed, 9th+BVP, 10th ed, 10th+BVP, 11th ed, 11th+BVP

      When the access code is purchased from the WebAssign company you generally have a grace/trial period of two weeks to pay, and another period to get a refund if you drop the course.
      Keep a record of your password.
      Do not register multiple times.
      If you are not registered and want to have access to this course's homework you need to come and see me. Multiple registrations and students who are not on roll will be removed.


 

Framer

Statistics, MATH 1342
Last Update: Summer I, 2017
  1. Information:
    1. Approximate Test Dates: Monday June 19, Friday June 30, Monday July 10.
    2. Syllabus Summer I 2017.
    3. Textbook: Collaborative Statistics, 2/e, Barbara Illowsky and Susan Dean (online version is free through Open Educational Resources).
      If you want the print edition ($44.50+$6 S/H) you need to order it from Print on Demand. Before ordering check arrival time to make sure it suits your needs.
    4. Purchase of WebAssign access is required for this course ($27.95). During registration:
         Click on "STUDENT"
         Click on "I Have a Class Key"
         Use class key lamar abcd xyzt
         Enter each part in a box; "lamar" in the first box, " abcd" in the second box, "xyzt" in the third box (do not type the quotes).
    5. Homework is to be done on WebAssign. Check WebAssign Hints 1 and WebAssign Hints 2
    6. When you buy WebAssign access from the publisher's link above you generally have a grace/trial period of two weeks to pay, or get a refund if you drop from WebAssign, and hence from the course.
      Once done with registration check WebAssign Student Help Section to familiarize yourself, in particular pay attention to Browser Flash requirements.
      You have to check your WebAssign account on nightly basis for home work.
      Course material will be uploaded as the course progresses.
  2. Resources:
    1. Statistical Apps:
      1. Interactive calculators:
        1. Standard deviation calculator separate your data by commas .
        2. Grouped data calculator.
        3. Central tendency calculator, mean,mode,median, quartile,etc.
        4. Sample standard deviation from a grouped data with frequency Warning:
          the page uses letter sigma instead of letter s (it calculates sample standard deviation only but calls it sigma).
          Also your data has to be in group. If your data is 1,2,3 etc you ca make groups 0.5-1.5, 1.5-2.5, 2.5-3.5 etc so that midpoints are the actual data.
        5. Binomial Distribution Calculator. Matt Bognar, University of Iowa.
        6. Binomial and Cumulative Binomial Distribution App, David Irland, DI Management.
        7. Normal Distribution Calculator. Matt Bognar, University of Iowa.
        8. Normal Distribution Calculator, at the bottom of page. Give a,b, μ and σ get P(a < X < b) for a normal distribution.
        9. T Distribution Calculator, Matt Bognar, University of Iowa.
      2. Demos:
        1. PDF of Rolling n dice Kyle Siegrist, University of Alabama.
        2. Galton Board /Binomial Experiment, YouTube, marbles falling through pegs.
        3. Galton Board, YouTube, machine at entrance to Index Fund Advisors Building.
        4. Central Limit Theorem for Means, Distribution of averages from an arbitrary distribution approaches a normal distribution.
        5. Z vs t-distributions, (JAVA, use IE), As df increases they become same.
      3. Collections:
        1. Statistics Calculators, MathPortal.
        2. Statistical Apps, Matt Bognar, University of Iowa.
        3. Statistics Online Computational Resource (SOCR), University of California, Los Angeles.
        4. WISE,(Java, use IE), Web Interface for Statistics Education, Claremont Graduate University.
        5. Rice Virtual Lab in Statistics (Java, use IE), David Lane, Rice University.
        6. GapMinder, statistical information about the world.
        7. Random, Kyle Siegrist, University of Alabama.
    2. Statistical Tables:
      1. Cumulative Binomial Distribution Table, Xander Faber, University of Hawaii.
      2. Z Distribution Table, area from left, listed from middle.
      3. Z Distribution Table, area from left, listed from left to middle.
      4. Z Distribution Table, area from center, 5 digits, National Institute of Standards and Technology, NIST.
      5. T Distribution Table, NIST.
      6. Table for rolling three dice.
      7. Table of random numbers.
    3. Video Courses:
      1. Collaborative Statistics, YouTube videos by Illowsky (also available on iTunes for free, search for ``collaborative statistics'').
      2. Collaborative Statistics, course.
      3. Against All Odds, Annenberg Learner.
      4. Descriptive Statistics, Khan Academy.
      5. Basic Probability, Khan Academy.
      6. SticiGui, Professor Philip B. Stark, University of California, Berkeley.
      7. SurfStat, Professors Annette Dobson, Anne Young, Bob Giddard, University of Newcastle, Australia.
    4. Articles:
      1. Bayes' Theorem Dan Morris
      2. Monty Hall problem
      3. Probability puzzles


 
Pre Calculus II, MATH 2312

precalculus

Last Update: Summer II 2018.
MATH 2312-10, M-F, 11:30-1, Galloway GB-246, July 10-Aug 13.
Approximate days for Exams: Fri July 20, Wed Aug 1, Mon Aug 13.
Syllabus, Precalculus II, Summer 2018
Pre Calculus 3rd edition, by Carl Stitz and Jeff Zeager. We will use this edition.
For each question in homework there is a solved example in the text. Read the text in parallel with homework to get the most benefit.
Pre Calculus 4th edition Beta version of the 4th edition of text.
  1. Resources:
    1. Pre Calculus Text by Carl Stitz and Jeff Zeager.
    2. YouTube Videos for quizzes related to the text.
    3. YouTube Videos by Dr. Sarah Eichhorn and Dr. Rachel Lehman, UC Irvine.
    4. Maesumi's trig course (HTML + WMV files for Win)
    5. University of Idaho course Parts A, B, C review Precalculus
  2. Apps:
    1. Reflection with respect to a line (GeoGebra)
      Choose/type the equation of a line
      x=0, i.e. y-axis, changing (x,y) to (-x,y) in an equation will reflect its graph in the y-axis, mirror or reflection line is x=0
      y=0, i.e. x-axis, changing (x,y) to (x,-y) in an equation will reflect its graph in the x-axis, mirror or reflection line is y=0
      y=x, i.e. 45-degree line, changing (x,y) to (y,x) in an equation will reflect its graph in the 45 degree line y=x
      y=-x, i.e. -45-degree line, changing (x,y) to (-y,-x) in an equation will reflect its graph in the -45 degree line y=-x
    2. Reflection with respect to a point (GeoGebra)
      changing (x,y) to (-x,-y) in an equation will reflect its graph in the origin,
           this is same as a double reflection, once in x-axis and a second time in y-axis, or a roation of 180 degrees
    3. Reflection in two lines (GeoGebra)
      A double reflection is equivalent to a rotation.
    4. Axis of symmetry of a vertical parabola (Desmos)
    5. Symmetry of a polyhedra (requires Mathematica CDF-Player)
    6. Symmetry of a chemical compound (choose a molecule from left menu, tap Operation on right menu)
      (Molecular Symmetry Wikipedia article)
    7. Conic sections (GeoGebra animation)
    8. Conic sections (Shodor animation)
    9. Conic sections (YouTube video)
    10. Transformations of a function y=cf(ax+b)+d (Desmos)
      * The base case is set by a=c=1, b=d=0,
        then adjust the paramters/sliders of the app so that it shows the following cases
      * Multiple actions have to be done in order specified, except
          actions in { } can be done in any order
          actions in horizontal and vertical directions can be done in any order.
      *If a variable z is replaced by az+b then movements in direction of z axis are according to (z-b)/a or z/a-b/a.
         That is move by -b and the scale by 1/a , or scale by 1/a and then move by -b/a.
         Alternatively you may have individual rules as listed below:
        Single Action
      1. y=f(x)+3, up by 3
      2. y=f(x)-3, down by 3
      3. y=3f(x), 3 times taller
      4. y=(1/3)f(x), 3 times shorter
      5. y=f(x+3), left by 3
      6. y=f(x-3), right by 3
      7. y=f(3x), 3 times faster or 3 times narrower
      8. y=f(x/3), 3 times slower or 3 times wider
      9. y=f(-x), reflect left/right, in y-axis
      10. y=-f(x), reflect up/down, in x-axis
      11. Multiple Actions
      12. y=-f(-x), reflect in origin, or {reflect in x-axis, reflect in y-axis}
      13. y=-3f(x), {3 times taller, reflect in x-axis}
      14. y=f(-3x), {3 times narrower, reflect in y-axis}
      15. y=f(2x+3), left by 3, then 2 times narrower
      16. y=f(2x+3), 2 times narrower then left by 3/2
      17. y=f(-2x+3), {reflect in y-axis, shrink horizontally by half}, move right by 3/2
      18. y=f(-2x+3), move left by 3, {reflect in y-axis, shrink horizontally by half}
      19. y=2f(x)+3, up by 3/2, then 2 times taller
      20. y=2f(x)+3, 2 times taller then up by 3
      21. y=-2f(x)+3, down by 3/2, then {2 times taller, reflect in x-axis}
      22. y=-2f(x)+3, {2 times taller, reflect in x-axis}, then up by 3
    11. Rotaion of a figure (GeoGebra)
      changing (x,y) in an equation to (-y,x) will rotate its graph by +90 degrees (ccw)
      changing (x,y) in an equation to (y,-x) will rotate its graph by -90 degrees (cw)
    12. A Exponential Function Story (Wikipedia,Wheat and Chessboard Problem)
    13. Angles on a Protractor 1, Angles on a Protractor 2
    14. Latitude and Longitude as a coordinate system on Earth (YouTube).
    15. GPS coordiantes an application of "degree, minute, second" or "DMS" convention.
    16. Wrapping the real number line on the unit circle (GeoGebra)
    17. Length and Area of a Sector (in radians) (GeoGebra)
    18. Area of a sector (in degrees) (GeoGebra)
    19. Graphs of Sine and Cosine (GeoGebra)
    20. Graphs of Trig Functions Notation: y=af(bx+c)+d, where f is a trig function, x in radians (GeoGebra)
    21. Graph of transformed sine function Notation: y=cf(ax+b)+d, x in radians (Desmos)
    22. Oscillation vs Rotation UNSW, Australia
    23. Simple Harmonic Motion (SHM) demo by D. M. Harrison. Requires SWF Player.
    24. Side-Side-Angle or SSA demo, Solving a triangle (the two-solutions or ambigious case)
  3. Information:
    1. Purchase of WebAssign access code ($27.95) is required for this course. During registration:
         Click on "STUDENT"
         Click on "I Have a Class Key"
         Use class key written in red below, write each part in its own box
         lamar    abcd    xyzt
      Read through information sheet provided by WebAssign.
      This will help check your computer for compatibility and familiarize you with the syntax.
    2. Do not attempt to print the entire book! If you need a hard copy do as follow:
      The print version of the text comes in two parts and can be ordered through the following links
      College Algebra ($12.61+S/H+Tax) and College Trigonometry ($11.36+S/H+Tax).
      This is a "print-on-demand" company and you need to request your book well in advance.
    3. Homework is to be done on WebAssign. For syntax help: Check
      WebAssign Hints 1, and
      WebAssign Hints 2, and
      the first "homework" on your WebAssign homework list.


 

waves Partial Differential Equations, MATH 4302/5325
Last Update: Fall 2018
Location and Time: MAES 212B, TR 11:10-12:30
Exams: Thursday September 20, Tuesday October 16, Thursday November 8, Final Thursday December 6, 11-1:30.

Online Lecture in place of Tuesday 20 class. Download and view.
An example of eigen function for Robin Boundary Condition WMV file format 34 MB. PC Microsoft format.
  1. Resources:
    1. Campus-wide licenses:
      1. MatLab
        Using your Lamar email make an account at MathWorks then go to Lamar Matlab Portal
        At above page, bottom left, you see two options,
        (1) "MATLAB Online" which allows you to program in web without downloading, and
        (2) "Download MATLAB" which allows you to download.
        IT says use a WIRED connection at home to perform this task,
        however I have done it on WiFi and downloaded overnight.
        More details are available at Installation Guide.
        MatLab also provides you with its own cloud storage site.
    2. Learning Matlab:
      1. MatTV, Charles F. Van Loan and K.-Y. Daisy Fan, Cornell University
      2. MathWorks Tutorials
      3. MathWorks MatLab Academy Tutorials
      4. Introduction to MatLab, Yossi Farjoun, MIT/OCW.
      5. MatLab Publish Tab, How to use MatLab to prepare a report or homework
      6. First MatLab homework: A basic Euler solver for y'=f(x,y), To run it you have three options:
        1) Use a lab computer which already has MatLab on it (Most CS and Eng computer labs do)
        2) Install Matlab to your own laptop
        3) Connect to cloud version of MatLab
        For options 2 and 3 you need an account at MathWorks.
        To get a MatLab account go to MathWorks, and register using your Lamar email address.
        Then go to Lamar Matlab site
        Choose Cloud-Based (or if you wish download the software to your home PC/laptop, this takes several hours so do it at home!)
        Follow instructions to complete the account.
        Open Matlab.
        Copy-paste the program in the Editor Window of Matlab and save it.
        Read the program to understand the steps.
        Run it in the Command Window, by using a command as indicated in the file you downloaded, e.g.
        myeuler(1000,1,3,10,'y');
        Make sure you understand it well enough to be able to edit it for your assignments.
      7. Solving the heat equation using MatLab:
        A basic solver for u_t=u_xx,
    3. Learning Mathematica:
      1. Mathematica for Applied DEs , V. Dobrushkin
    4. Review of Prerequisite Topics:
      1. Partial Derivatives, Khan Academy
      2. Multiple Integration by Parts, a short cut similar to the ladder tableau method.
      3. Partial Derivatives Demo, GeoGebra, S. Phelps.
      4. Partial Derivative as Slope, GeoGebra, A.S. Alberca.
      5. Derectional Derivative, GeoGebra, A.S. Alberca.
      6. Specific Heat Capaity, Wikipedia.
      7. Thermal Conductivity, Wikipedia.
      8. Thermal Diffusivity, Wikipedia.
    5. Apps: (not Java-based)
      1. Mathematica Code and resulting movies for solving PDEs Peter J. Olver, U Minnesota.
      2. Fourier Series Numerical and graphical analysis.
      3. Integrator for all those Fourier series integration steps.
      4. PDE Solver for hand-drawn input. Luis Silvestre. University of Chicago.
      5. 3D plotting on WolframAlpha accepts expressions such as "sum (sin(n pi x/4) sinh(n pi y/10)) n=1:3"
      6. Direction Field Plotter, John Polking, Rice University.
        (You need to install JAVA/JRE first. Then tap on "dfield.jar" on above page and download to your computer.) A manual by Nancy Chan, Harvard, 2004.
        Software also works on Unix-type operating systems.
        For MAC, software works only on Mozilla. MAC has its own internal software called Grapher.
        Using Grapher on MAC for ODEs, Scott Taylor, Colby College.
      7. Direction Field Plotter for single and system of 2 equations, Darryl Nester, Bluffton University. This is web-based and does not require installation.
      8. Direction Field Plotter for 2nd order equations, or a system of two 1st order equations, Stefan Waner. Web-based.
    6. Demos:
      1. Waves Dan Russell, Penn State U.
      2. Types of Waves, Dan Russell, PSU. Longitudinal (spring, air, earthquake primary), Transverse (wire, earthquake secondary), water, Rayleigh (solid surface).
      3. Making waves with different boundary conditions, PhET. Neumann and Dirichlet Boundary conditions.
      4. Standing waves in air, Walter Fendt. Neumann and Dirichlet Boundary conditions.
      5. Standing wave, Geogebra.
      6. Demo of solution of Wave Equation for a plucked string, MIT.
      7. Physical demo of a plucked string, Dan Russell.
      8. A simple pendulum.
      9. Forced Oscillation 1 demo of resonance and beat.
      10. Forced Oscillation 2.
      11. Forced Oscillation 3 Mathematica CDF.
      12. Beat Mathematics CDF.
      13. Coupled oscillators: two masses and three springs or two pendulums connected by a spring,
      14. System Simulations, EriK Newmann
      15. Simulation of 2D pure-tone waves on the surface of a circular drum.
      16. Simulation of a 2D Wave on the surface of a circular drum.
      17. 2D waves on a rectangular membrance with damping.
  2. Next Steps: If you want to pursue the topic at a more advanced level there are many courses, texts and software available; in particular
    1. Courses:
      1. MIT 18.152, Jared Speck, Introductions to Partial Differential Equations class notes.
      2. MIT 18.152, Tobias Colding, Introductions to Partial Differential Equations class notes.
      3. MIT 18.303, Matthew Hancock, Linear Partial Differential Equations class notes.
      4. MIT 18.303, Steven G. Johnson, Linear Partial Differential Equations; Analysis and Numerics class notes + Introduction to Julia Language.
      5. Partial Diffferential Equations Videos by Chris Tisdell, University of New South Wales, Australia.
      6. Maesumi, Introductions to Partial Differential Equations Old lecture site.
    2. Texts and notes:
      1. Physical Modeling in Matlab By Allen B. Downey
      2. 1D Heat Equation Matthew J. Hancock, MIT.
      3. A First Course in Quasi-Linear Partial Differential EQuations for Physical Sciences and Engineering Marcel B Finan, Arkansas Tech.
      4. Publisher's companion web site for DiPrima's ODE+BC, 8th ed, 9th ed, 9th ed, +BVP, 10th ed, 10th ed, +BVP,
    3. PDEs via standard software packages:
      1. Mathematica Wolfram
      2. Mathematica Wolfram DSolve
      3. Mathematica N. Abbasi
      4. Mathematica D. Garanin
      5. Maple Waterloo Maple
      6. Matlab MathWorks
      7. ScholarPedia matlab-based basic solvers
    4. PDEs via advanced software packages:
      1. OPM porous media flow.
      2. MFEM
      3. FEAtool MultiPhysics
      4. FEAtool MultiPhysics Python FEM and MultiPhysics Simulations with FeniCS and FEATool
      5. FEM, FeniCS FEM course based on FeniCS.
      6. redbKIT toolbox for finite element simulation.
      7. Deal.ii FEM library
      8. Dune Distributed and Unified Numerics Environment
      9. K-Wave Matlab tool box for simulation of acoustic wave fields
      10. Trilinos multi-physics
      11. HiFlow FEM
      12. hp-FEM
      13. Alberta
      14. Overture
      15. SINTEF/MRST Flow in porous media, secondary recovery
      16. GAMS Fortran-based
  3. Information:
    1. Syllabus
    2. Preferred background: Recent and successful completion of :
      Physics I,II,
      Calculus I,II,III,
      Linear Algebra,
      Ordinary Differential Equations,
      and a programming course (any of the following would do: Python, C, C++, Java).
      In particular familiarity with the sections on Forced Oscillations and Systems of ODEs in 3301.
    3. Approximate Test Dates: Approximate days for Exams: Thursday September 20, Tuesday October 16, Thursday November 8, Final Thursday December 6, 11-1:30.
    4. Text: Advanced Engineering Mathematics, Sixth Edition, by Dennis G. Zill
      The older editions were authored by Dennis G. Zill and Michael R. Cullen
    5. WebAssign Access code for homework is required. ebook is part of access code.
      WebAssign is part of Cengage Unlimited Subscription, but the text is published by Jones and Bartlet and as such is not part of CUSP book rental plan.
      To purchase and/or register access code from publisher ($70-100) go to WebAssign website. During registration
         Click on "STUDENT"
         Click on "I Have a Class Key"
         Use the class key written in red below. Enter each part in its box.
         Class Key for Fall 2018 PDE class is (check before paying to make sure you do not register in the wrong class!)
         lamar    abcd    xyzt
    6. Basic homework is done on WebAssign. Check WebAssign Hints 1 and WebAssign Hints 2
    7. Other Recommended texts:
      Elementary Applied Partial Differential Equations, Haberman
      Advanced Engineering Mathematics, Zill, Cullen
      Elementary Differential Equations and Boundary Value Problems, Boyce and DiPrima
      Partial Differential Equations for Scientists and Engineers, Farlow (available in campus bookstore or from Dover Publications)


 
Numerical Analysis, MATH 4315/5325

Fractal

  1. Resources:
    1. MathWorks Tutorials
    2. MathWorks Matlab Academy Tutorials
    3. Introduction to MATLAB Yossi Farjoun, MIT/OCW.
    4. Physical Modeling in Matlab By Allen B. Downey
    5. An Introduction to Numerical Methods and Analysis by James E. Epperson.
      Basin of Newton Method is detailed in Chapter 5.
  2. Information
    1. Approximate Test Dates :












  3. General Information


    Learning how to learn
    A Coursera course on learning
    Some excerpts. Tips on how to study.


     
    General-Purpose and Specialized Online Calculators and Applets
    Wolfram Alpha
    Desmos, User Guide, Help, YouTube Channel, Blog
    Function Calculator by Xiao Gang
    InstaCalc
    MathStudio
    Note: many calculators do not do roots of negatives, eg (-8)^(1/3), if so then use -(8^(1/3))
    3D plotting:
         CalcPlot3D, Paul Seeburger
         GraphyCalc
         GeoGebra
         Type the formula in Google search
         Desmos 1
         Desmos 2
    Direction Field Plotter
          D.K. Nester, Bluffon University
          GeoGebra
          Desmos
          WolframAlpha
    For using Wolfram/Mathematica-based applets you need to download the following:
         Mathematica Computable Document Format (CDF) Player.
         For example, try the following demo
         Newton Law of Cooling. Download the CDF file and run it with the CDF-player. Compatibility list.

    Symbolic representation of decimal numbers: WayBack, ISC, REIS, WolframAlpha use command "closed form 1.4142135".
    Online Encyclopedia of Integer Sequences


     
    Computer Algebra/Numerical/Graphical/Display Software (these require download, installation and yearly verification, some have web-based version)
    Campus-wide licenses for Lamar students:
    1. Matlab

    Free software:
    1. Direction Field Plotter, manual. For MAC install using Mozilla or use Grapher
    2. Scilab A numerical computation software, similar to Matlab
    3. Octave A numerical computation software, similar to Matlab
    4. Windows 64 bit Installer for Sage, A comprehensive numerical computation software
    5. Julia A numerical computation software
    6. Maxima A computer algebra system, Calculus on Maxima
    7. GeoGebra A geometry software
    8. Cinderella A visual math and physics software
    9. R Project A statistics software
    10. Microsoft Mathematics 4.0 An advanced graphing calculator
    11. Graphing Calculator 3D, Runiter.

    The following (as well as 32 bit Sage) may require the instalation of a Virtual Machine:
    SAS Statistics Analysis System

    Packages with discounts for students:
    MATLAB A numerical computation software, Student Version
    Maple A comprehensive mathematics software, Student version
    Wolfram Mathematica A comprehensive computer algebra system, Student version

    Viewers:
    CDF / Computable Document Format Viewer Wolfram Mathematica
    Maple Viewer Waterloo Maple
    ShockWave Player Adobe (open Task Manager and close ALL instances of your browser to install)

    Lists:
    Comparison of Computer Algebra Systems, Wikipedia.
    Report of work in progress on SouthForge.
    Comparison of Integractive Geometry Systems, Wikipedia.


     
    OnLine Course Repositories
    edX, Stanford, Harvard, MIT, Yale, Coursera, Academic Earth, Khan Academy.
    Udacity fee-based and free courses



    Games
    WIMS20, Pegs, The Game of Set, The Ultimate Tic Tac Toe, Entanglement, Nim 1, Northcott, Towers of Hanoi, Scratch-based games,
    Use IE or update Flash first for these:Catlan, Nim 2,
    Chess,

    Visual Programming:
    Google Doodle, Google Blockly, MIT Scratch, Alice, Apple Swift Playgrounds, Twinery,


     
    Competitions
    Putnam Competition
    Internet Olympiad
    International Collegiate Programming Contest
    AMC - American Mathematics Competitions
    Wikipedia List of Math Competitions
    Wikipedia List of Programming Competitions


     
    TeX
    Students who are in senior level classes or above are expected to type their homework and papers.
    WORD or Matlab Publisher are two common choices.
    Students who are in MS program or contemplating entering one, and more so those who wish to get a PhD, should learn TeX.
    Expect to spend as much time as a course for learning TeX. So you want to start early and gradually improve your skill.
    Here are some resources among many:
    TeX Tutorial
    TeX commands
    MiKTeX Distribution


     
    Usage Hints for Desmos
    1. Piecewise-defined and Step functions
      Example: In Desmos type y(x)= { -2< x< 0 : x+2, 0< x < 2 : 2-x}
      Syntax: y={ simple inequality 1 : formula 1 , simple inequality 2 : formula 2 , simple inequality 3 : formula 3 }
      Note the usage of braces, colon, comma.
      To define the unit step function use
      u(t)= { t < 0 : 0 , t > 0 :1}
      Then instead of u_c(t) use u(t-c)
      here is an extended example for lengthy functions
      u(t)= { t < 0 : 0 , t > 0 :1}
      f(t)= t/(1+t^2)
      g(t)= 7sin(3t)
      h(t)= 5cos(2t)
      y(t)=f(t)+u(t-3)*g(t-3)+u(t-5)*h(t-5)

    2. Numbers of digits of accuracy
      Desmos, by default, provides 3 digits.
      In order to get five digits when solving f(x)=g(x) follow these steps.
      1. Graph y=f(x) and then y=g(x) on the same screen. Find the point of intersection and record it.
      2. Graph y=f(x/100) and g=(x/100) (simply replace x by x/100 on existing screen).
      3. Use the wrench icon to modify the x window. For example if in step (a) the root of interest was 2.1 now make sure the window includes 210=2.1*100.
        There is an inequality like -10 < x < 10 when you click on the wrench, change it to 205 < x < 215, play with window or the zoom to clearly see the intersection.
        Now Desmos shows the root to 5 digits. Record this root and divide it by 100.

    3. Summing up to term N. An example of a "slider".
      To plot y = sum of sin (n pi x) / n^2 for N terms type the following
      1. y= sum
      2. A capital sigma shows up with a lower and an upper limit.
      3. In the lower limit you enter the starting value of n, probably 1.
      4. In the upper limit you can enter N, to indicate that you want to addd up N terms.
      5. Then you enter your formula , in terms of x and n, e.g. sin (n pi x) / n^2
      6. A slider shows up labeled as N. You can move it over the indicated range.
      7. As default the range is -10 < N < 10. You can click on "10" to change the limits and the increment.

    4. Animation
      You can use a slider for parameters. When you use a slider for a time variable you can make an animation.
      For a comet effect use a format as
      (cos(2t),sin(3t) {t < a} )
      (cos(2a),sin(3a))


     
    Access Code
    Most introductory courses require an access code. This provides homework sets, instant checking of answers, and may come with additional resources such as e-book and instructional videos. Access codes are for a limited time use by one person during one semester (unless the course is designated as a multi-semester course, such as Calculus I,II,III, in this case the access code is for three semesters). Once an access code is registered for a course it cannot be used for another person even if it was not used.
    Sometimes an unregistered access code can be used for a course other than the one you bought it for. Ot it can be bought from third party sites. If you have an access code or want to buy one and want to make sure it applies to a text check the following site page for WebAssign Prefix list. Direct online purchase from the publishing company of WebAssign is the safest and gives most user support but costs more.
    There is a two-week trial period for the code (if purchased directly from WebAssign), and after purchase you have two weeks to get a refund if you drop a course. Therefore there is no excuse not to get started with homework right away at the start of semester.

    Cengage, the publisher of WebAssign, has a Cengage Unlimited Subscription Plan (CUSP).
    In short you pay $120 per semester, or $180 per year, or $240 per two years, and you get Cengage digital textbook library, digital online homework system (WebAssign, MindTap, ...), printed text rental at $8/semester. To see if it makes sense for you to use a subscription check here.
    Only books published by Cengage are included in the rental agreement. However WebAssign usually includes the ebook.
    Starting with 2019 we will adopt Larson, Calculus Early Transcendental, 7th edition, which will be in CUSP and in the rental plan. Also Poole's Introduction to Linear Algebra is a Cengage book and in the rental plan.

    Running Adobe Flash Player.
    WebAssign needs to run Flash. To activate it see How to activate Flash


     
    WebAssign Hints and Errors
    Do a browser check first before attempting your assignment.
    On university computers Internet Explorer has more up-to-date components than Chrome.
    WebAssign errors are rare but occasionally they do occur. If you see one let me know.
    More often than not it is the student who has not paid attention to syntax or a typo. Note that webassign like most computer programs is case sensitive, so B and b are different. Not only that, font matters too so B is also differnt from B and b. And if that was not enough, you also have β (Greek beta).
    It is good to be familiar with Greek Letters.

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    Do not mix up:
    Exact vs decimal answers, (if it does not tell you to give the answer to say 2 or 3 or 4 decimal places then it wants the exact answer, e.g. cos-1 (2/ 13  ) vs 56.3099 degrees )
    angles in radians vs angles in degrees (degree angles have a little circle as superscript)
    Ordinary font e.g. F for scalars vs bold fonts e.g. F for vectors
    Here are some characters you might have difficulty with:
    a, A, A, α (alpha)
    b, B, B, β (beta)
    d, D, D, δ, Δ (delta)
    t, T, T, τ (tau)
    w, ω (double-u and omega)
    1,l (one and ell)
    0,o (zero and oh)
    ,' comma vs prime (especially after a fraction a comma is common, not to be confused with derivative of denominator)
    *,(blank) (missing a multiplication sign or using a blank space in its place in a formula, xy is not understood as x*y)
    [],(),{},<> (different fences or delimiters, each book may have a different style)
    [] , [[]] (do not double bracket or put a bracket in a bracket)
    Keep a record of typical errors in your notebook to remind yourself. For more info read WebAssign Syntax Hints

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    If you need help with WebAssign view or read the following
    WebAssign Registration
    Completing Assignments
    Entering Math Answers on WebAssign
    CalcPad manual


     
    Office Hours, Exams, Tutoring Schedule: Spring 2019, Classes January 22 - May 6, Exams May 7-14.

    Office Hours:
    Online + Before/After each class, in class + Walk-ins + By Appointment:
    TR 9:30-11:00, 1:20-2:20 in Lucas Engineering Building L206
    On certain days, the office hours will be TR 9:30-11:00, 4:00-5:00 Lucas 206. Students will be notified by email on these days.

    Students who are preparing for exams are encouraged to ask their questions in the classes prior to the exam day. Postponing questions to day of exam is discouraged.
    Office hours on exam and final days are by appointment only, and they are usually restricted and could be cancelled .
    Rules for office hours: No food, drinks, or texting in office. Bring your homework/lecture notebook.

    Teaching and exam Schedule:
    Ordinary Differential Equations, MATH 3301-13, Maes 212B, TR 11:10-12:30.
    Tentative test days: Thursdays, February 14, March 21, April 18,
    Final Tuesday May 14, 2:00-4:30
    Linear Algebra, MATH 2318-15, Maes 212B, TR 2:20-3:40.
    Tentative test days: Thursdays, February 14, March 21, April 18,
    Final Thursday May 9 , 11:00-130

    Mathematics Tutoring
    The Math Shop, Room L211, Lucas Engineering Building
    Starting January 28
    M-R 9:00-4:00
    F 9:00-1:45
    Tutors available for higher-level courses
    Tutor Schedule by Course

    Academic Calendar
    Final Exam Schedule Spring 2019
    Courses Offered, Important Dates
    University Directory
    University Course Catalog
    Campus Map, PDF


     
    Help with homework and lectures


     
    Java-based applets error messages
    Many Internet-based mathematical demos used to use Java. However due to security concerns you have to take certain extra steps to be able to use them.
    The accepted practice is to move away from such software.
    However if you attempt to use them it is very likely that you get one of the following error messages if and when you try to access Java-based apps:
    A) Java applications are blocked by your security settings.
    B) Missing Application-Name manifest attribute.
    C) Missing required Permissions manifest attribute in main jar.
    You need to upgrade JAVA frequently, and remove your older versions,
    then close and open your browser,
    then include the trusted math site in your Java seucity exemptions file,
    then give permission to your browser to run the app.
    Read the instructions in the following pages for additional information (and use at your own risk)
    Java Security Warning and Solutions. Here is more info.


     
    The Cost of Math/Engineering Errors
    (Or what can happen to you if your teacher gives partial credit to the person sitting next to you!
    Or if we hesitate to withhold credit from a "master".)
    A nutjob
    Pounds vs kilograms
    Another pounds vs kilograms story
    1/2 or 2/1? That is the question!
    How many decimal places you said!?
    What not to learn from a "master"
    One-Time Excusable Errors:
    How not to make waves
    Why not to square the circle


     
      Policies


    Student Email Address
    Check your profile page under Self Service Banner and make sure your data is up-to-date.
    In particular one of your emails should be designated as "The Prefered Email" address.
    Otherwise the system does not send any email to you!

    A test email will be sent to all students at the beginning of semester.
    The email addresses will be taken from "Email List" for each class as provided by Lamar University Self-Service Banner website.
    If you do get it there is nothing to do (no need to confirm by sending a reply).
    If you do not get the email you need to check if
    0) you did not specify your preferred email address correctly during registration (most common mistake)
    1) you typed your email incorrectly during registration
    2) you entered a parent's email for yourself during registration
    3) you changed your email
    4) you requested your email not to show on a web page during registration
    5) your guardian typed your email incorrectly
    6) etc.
    You need to make a corrective action so that your correct email shows on Lamar's "Email List" for each class.
    You must have an email address that you check nightly. You should not opt out.
    You should also register with your email on WebAssign (if required) and accept to be notified when and if there is new homework.
    If you are concerened with privacy issues you can use lamar.edu for school related topics and keep your private email account separate from your lamar email account.
    Instructor will not take any extra actions to reach you after the 12th class day.
    "I did not know/I do not get your emails / I do not get WebAssign emails, etc" will not be an acceptable excuse if majority of class knew! Attend classes and check email and webassign daily.


     
    Instructor's Email
    1) To contact me only use emails: "maesumi at gmail dot com".
    2) Please do not use other or clickable email addresses.
    3) Include your full name, course name and section number on EACH email.
    4) Please do not use REPLY when your email topic is not related to the previous email.
    5) If you do not get a reply after 24 hours re-send the email.
    6) All issues that potentially affect your grade and are orally talked about/agreed upon need to be summarized and acknowledged in an email.
    For last minute arrangements call 8766 and then send the same info on an email.


     
    Calculators
    You are allowed to have a basic scientific calculator on any test. These calculators typically cost about $15 new. They do not have graphing or computer algebra or wireless capabilities. The ones with "natural textbook display" are easier to use. They show formulas similar to how they are printed in texts. Examples are Texas Instrument TI-30XS or TI030X IIS or TI-36X Pro, Sharp EL-W516BSL556 or EL-W516XBSL, Casio FX-991EX or FX-115ES , Cannon F-792SGA. A sample.
    You are not allowed to have a phone calculator.
    You are not allowed to share a calculator.
    Advanced graphing calculators (as in TI84 etc) are not allowed on tests.


     
    Appeals and Student Data
    In case you want your exam to be reviewed and re-graded you need to notify me within one week from the day grades are given. Two weeks after the final exam your course grade data will be discarded, unless you make a written request in person during the semester. All issues that may influence your grade should be documented in an email from you to me and acknowledged in an email from me to you. At the time of the final test, and before final grades are given, send a summary email.


     
    Late Homework
    Late homework, if accepted, has a penalty that starts at %20 and increases with the length of delay.
    Homework from beginning of semester loses much of its value by the end of semester.
    Here is how the late penalty will accrue: [20+3*(x-y)] percent, here x is the current homework number and y is the homework number you want to do late.
    So if we are doing homework 16 and you want to open homework 2 the late penalty is 20+3*(16-2)=62%.
    You may be asked to come to my office and show your handwritten solutions of such late homeworks and explain them.
    All homework is to be done before the final. Automaic Extensions, given by the software, do not have any validity past the day of final.


     
    Privacy
    Please read the login prompt before you log to university network. It states that you should not expect any privacy.
    All activity on a computer during class or exam time can be inspected and analyzed by the instructor.
    If you use a homework software all activity on it is visible to the instructor and certain employees of the company.
    There may be a seating assignment in class.
    Your papers, calculators, phones etc. may be inspected by the instructor during tests.
    You may be asked to change your seat during a test.
    If you violate the Test Code or class decorum rules you may get a public reminder in class.


     
    Course Evaluations
    The university will send you a notification toward the end of semester to evaluate your courses.
    Your input counts, it helps to improve future classes.
    Your answers will be private. I do not know who evalauted the course. I get a summary after grades are submitted.
    Certain number of points will be added to your last test as a bonus for completing the survey.
    To get the extra points, upload a screen shot of the acknowledgement form
    If participation rate is over 90% then bonus points will increase by 50%. So encourage your classmates to participate!
    Evaluation period will end before the exam period starts.

    Go to LUConnect, then Go to Course Evals
    Once done with all evaluations get a screen shot and also print the acknowledgement page to prove that you completed the task.
    The acknowledgement page may take many forms, for example this . This is a page that lists all of your current courses and says you finished evaluating them.

    Write your name clearly on the paper you just printed.
    Write your course name/section on it.In case you cannot upload the image then give me the actual paper.
    Upload the screen shot to WebAssign under the assignment "Evaluation".
    If you are taking multiple classes from me upload one sheet per each class.
    Please:
    1) Do not print your private answers!
    2) Do not give the paper to me earlier or later than final
    3) Do not forget to write and circle your name and class name clearly on the paper
    If you have technical problems with doing the survey contact Mr. Rossi at X-7143.
    Remember: you cannot take the survey after classes end
    you need to do it before the finals start!
    Sorry, no exception to this rule!!
    Neither Mr Rossi nor I can help in that case.

    The following categories get a frown instead of the bonus points
    "I left it in the car"
    "I did not have toner for my printer"
    "I could not find a printer on campus that works"
    "May I email the screen shot"


     
    Honor Code
    The Golden Rule : You should be able to repoduce, all by yourself, and without any additional help, whatever you write on an assignment or exam or project.
    That means I am within my rights to ask you to go to board and redo whatever you wrote.
    I am also within my rights to ask you to take a test again.

    To avoid misunderstanding during an exam pay attention to the following common sense rules:
    Do not look sideways, you are to look at your own papers or screen and protect them from others.
    Your face should be visible to the instructor.
    No obstruction of face by sunglasses, hair, hand, caps, etc.
    No obstruction of ears by musical devices, ear muffs, hoodies.
    Bring an official picture ID (Lamar or DL) to all tests.
    Use of printed sheets, cell phones, advanced calculators, shared calculators or loose paper is forbidden on tests.
    Use of unauthorized websites and communication with others is not acceptable during tests and may result in a grade of F for the course.
    All authorized sites will be listed on the exam, any other is unauthorized. Use of homework pages of WebAssign is NOT authorized.
    Do not give your WebAssign passwords to any other person for any reason.
    Unauthorized logins to WebAssign may result in a grade of F for the course for you.

    Fair Use Policy: (or how to get help and not be in trouble with plagiarism rules):
    Students are encouraged to try do the homework problems, take-home tests, and projects without seeking help.
    But it is OK to consult other students and resources to learn how to solve homework problems or take-home projects or papers.
    If you want to seek help on a problem the acceptable process is the following:
    (a) Throw away whatever you have written on that problem so far.
    (b) Consult with as many resources as you wish, make sure you understand what you read or hear or see.
    (c) Write the solution of the problem all by yourself without listening to or looking at any other source. Your new writing must be from scratch and from the beginning.
    (d) If you get stuck again go back to step (a).
    At the end you should be able to reproduce and justify the steps of the solution you submit. For example by coming to the board and explaining it.
    See the penalty schedule for cost of infractions. University Academic Honesty rules apply.


     
    Student Resume
    Students are to prepare a one-page resume specific to this course. Please convert it to PDF format.
    You will upload it to a WebAssign homework assignment labeled Resume, under "Show My Work".
    At the top please put an ID-type photo and add name, email, major, minor, then add details of relevant courses, then add the optinal items.
    Resume will detail (where, when) the math courses you have taken, related science courses, major, second/double major/minor, expected date of graduation, jobs, responsibilities, skills.
    Any issues I need to be aware of should go on this page at the beginning of semester. You are invited to come and talk to me if you do not feel comfortable writing it.
    If you attend two of my classes upload one for each.



     
    Votes, Time Extensions
    Occasionally we may have votes in class. In these cases we go by the vote of students who are present in class. As a courtesy to all students, and at instructor's discretion, the vote might be conducted via an email. Students will have 24 hours to respond. Failure to respond indicates the student will accept the vote already cast.
    Time Extensions: On some tests you may be given a time extension. The extensions will be given in increments of 5 minutes. So long as it does not conflict with the next class, and students in attendance do not object.


     
    Absence
    For excusable absence from an exam you need a written verifiable proof of emergency. In case of early contact, and at instructor's discretion, a make up exam might be give. Please note that for a make up exam several issues cannot be guaranteed: date, time, a quiet room, level of difficulty, etc.
    At instructor's discretion, in case of a justifiable absence, an adjusted mix of your other exam grades may substitute the missing grade.
    To reduce the negative impact of absence from classes please have a "buddy system" to provide you with missing notes, latest news, coverage report, etc. Students with excessive unjustified absence may not use office hours for homework help.

    Last date of attendance:
    For a failing students the instructor has to report the last date of attendance. I will enter the last date at which the student had a passing grade. Therefore it is important for students who are on probation, due to scholarship, loan, visa, GPA deficiency, etc, or who need to prove attendance for attendance, to submit all homework and attend all classes. Sporadic presence in tests or classes will not be considered a proof of attendance.
    There is a university-wide audit of attendance near the beinning of the semester. For census audit your last date of attendance will be the last date at which you had a homework grade of 70% or above.
    If you want your physical presence to be counted as attendance then sign a paper with your name and class name and give it to me in each class.


     
    Recommendations
    For a strong recommendation letter students need to choose a project, early in the semester, in consultation with the instructor and write a report. The report need to be nearly finished, well in advance of the recommendation. Interested students need to come and see me with a resume, a transcript, sample of related work, and a list of topics of interest.


     
    ForOfficeUse
    If you come across an assignment with a title/name of "ForOfficeUse" ignore it unless you have specific instructions. Any grades or anomalies with respect to such assignments will disappear within a week.


     
    More FAQs

    Registration issues:
    1- Students are strongly discouraged from late registration. Students are expected to be present on the first day of classes.
    2- No "Late Add" is allowed.
    3- If your registration is in limbo you are to continue attending classes as usual.
    4- It is the student's responsibility to become familiar with class rules even if they missed the first few classes.
    5- If student registrates late then he/she is responsiblefor catching up to the rest of class and take exams at the scheduled dates.
    6- The "last attend date" is defined as the last date student had an ovrall passing score. This is of importance especially if you are on scholarship or probation or on visa. To pass university audit at the beginning of semester you must attend classes, participate in quizzes, and have a passing homework score.

    DRC issues:
    1- Students who are considering to use DRC are to consult with me at the earliest possible time and have DRC send the notification at least one week in advance of any test.
    2- It is the students responsibility to arrange for their test well in advance.
    3- It is responsibility of the student to make sure, well in advance of any test, that the computer they will use has all the software we use in class.
    4- DRC students take the same quiz as all other students. There are not separate arrangements for quizzes.

    Exam issues:
    1- Students are to bring a Blue Book examination notebook to each test, otherwise there will be a deduction of 20%.
    2- If you fail to submit your work on WebAssign in allotted time there will be a deduction of 20% plus any irrocoverable points lost. You could end up with a zero grade.
    3- There are no extensions or make ups for quizzes.