MAT 331: Computer Assisted Mathematical Problem Solving
Spring 2017
Raluca Tanase
Lectures, Homework & Projects
Schedule
A set of lecture notes for each class will be available in .pdf format and .nb (Mathematica notebook). Please log in to Blackboard with your netID and password to download the solutions to the homework assignments.
| Date | Topic | Reading | Assignments |
| Jan 24 | Introduction & Syllabus | Notes ( nb ) |
HW1.nb HW1-Files.zip Due February 11 |
| Jan 26 | Functions and Plotting Commands | Notes ( nb ) | |
| Jan 31 | Conditional Statements and Loop Structures | Notes ( nb ) | |
| Feb 2 | Linear Algebra in Mathematica | Notes ( nb ) | |
| Feb 7 | Linear Algebra and Graph Theory | Notes ( nb ) |
HW2.nb Due February 23 |
| Feb 14 | Making Interactive Models in Mathematica | Notes ( nb ) | |
| Feb 16 | Using Dynamic[..] and Manipulate[..] | Notes ( nb ), Map | |
| Feb 21 | Lab Exercises | Notes ( nb ) |
Project 1 Due March 12 |
| Feb 23 | Mathematics of Web Search | Notes ( nb ) | |
| Feb 28 | Project Discussion | Notes ( nb ) | |
| March 2 | Eigenvalues, Eigenspaces, multiplicity of an eigenvalue | Lectures 1 & 2 | |
| March 7 | Perron-Frobenius Theorem & Page Rank | Lectures 3 & 4 | |
| March 9 | Dynamical Systems, Fractals, Julia sets | Notes ( nb ) |
HW3.nb Due March 31 |
| March 14-16 | no classes this week, Spring Break! | ||
| March 21 | Solvers | Notes ( nb ) | |
| March 23 | Solving Differential Equations with Mathematica | Notes ( nb ) | |
| March 28 | Linear Systems of Differential Equations | Notes ( nb ) |
Project 2 Due April 20 |
| March 30 | Nonlinear Systems of Differential Equations | Notes ( nb ) | |
| April 4 | Nonlinear Systems (II) | Notes ( nb ) | |
| April 6 | Solutions to the Lab Exercises | Notes ( nb ) | |
| April 11 | Limit Cycles and Chaotic Behavior | Notes ( nb ) | |
| April 13 | Interactive models with Phase Portraits and Locator | Notes ( nb ) | |
| April 18 | An Introduction to Cryptography | Notes ( nb ) |
HW4.nb Due April 27 |
| April 20 | Modular Arithmethic & Affine Ciphers | Notes ( nb ) | |
| April 25 | Cryptanalysis of (mono/poly)alphabetic Ciphers |
Notes (
nb
)
Vigenere ( nb ) |
Project 3 Due May 13 |
| April 27 | Fermat's Little Theorem & Euler's Theorem | Lecture ( pdf ) | |
| May 2 | The RSA Cryptosystem | Notes ( nb ) | |
| May 4 | Digital Signatures | Notes ( nb ) | |
| May 10 | Project Presentation - Wednesday, May 10, 5:30-8pm | ||