CMSC 389W / MATH 299M - Visualization Through Mathematica

Section 0101:

This course is designed to teach how to use the most common and useful features of Wolfram Mathematica; an extremely powerful technical computing system that can be used to model a wide range of problems. Students will also learn important techniques and styles that will equip them with a profound mastery of Mathematica. Plotting functions in several ways, making models that can be manipulated in real time by the user, and efficiently computing solutions to complicated equations are among the things we will cover. We will use these skills to model various structures in math, computer science and physics, and for the final project every student will pick something relative to their designated major (or interest otherwise) to model, whether that be in physics, math, engineering, economics, or anything else mathematical in nature. Over the course of learning these tools students will encounter mind-blowing examples of what Mathematica can do, seeing first-hand that creating models that can be manipulated in real time helps greatly in understanding the underlying symmetries and properties of a problem.

Course Information

Mathematica Lesson Notes
  • All Mathematica lessons/sample models for this class will be posted on the ELMS page.
Wolfram Language and System Documentation Center


Project Due Dates:


For topic information, please see ELMS for the Lesson and sample model
Week of Topic Useful References
Week 1 Introduction and Basics: Variables, Lists, Functions, Manipulate Variables and Functions
Week 2 Basics II
Model C2 - Converting Between Rectangular and Polar Coordinates
Week 3 Plotting I Plotting
Week 4 Computation Solve
Expand Numeric
Week 5 CS-Style Scripting If, Which, Switch
Blocks and Modules
Week 6 Graphics Graphics
Graphics 3D
Graphics Grid
Week 7 Plotting II Region Plot
Contour Plot
Density Plot
Week 8 Plotting III Polar Plot
Parametric Plot
Week 9 Plotting IV Plot3D



Name Email Office Hours
Vlad Dobrin By Appointment
Devan Tamot By Appointment
Dan Zou By Appointment

Class Resources

Online Course Tools
  • Mathematica Documentation - This is where you can find useful information about the Mathematica Languange
  • Mathematica Demonstrations - This is an awesome source to find really cool models about literally anything!
  • ELMS - This is where you can see your final grades and homework solutions.
  • Terpware - This is where you can download Mathematica (requires CAS authentication).
  • Homeworks

    Click the name of an assignment below to see its specifications.

    Homework Name
    Due Date
    Homework 1 Sept. 9, 2019
    Homework 2 Sept. 16, 2019
    Homework 3 Sept. 23, 2019
    Homework 4 Sept. 30, 2019
    Homework 5 Oct. 7, 2019
    Homework 6 Oct. 14, 2019

    Homework Winners

    Here are the winners for the homework assignments! These models are the models that stood out and showed creativity in Mathematical Modeling. Outstanding job to all of you!

    Homework Name

    Frequently Asked Questions

    This page is dedicated to post freqently asked questions from office hours, emails, or in person. For quick look up on a specific topic, press F3 to search for it.

    Question Response
    "I was trying to download Mathematica but there was a problem with it. Do you by any chance know what the problem is? I have attached an image when I try to start the download manager." Try downloading one of the older versions of Mathematica, if that doesn't work let Ajeet know!