MA 723 (001) Spring 2025 Theory of Matrices and Applications

Instructor: Chao Chen

Email: chao_chen@ncsu.edu (Please include course number in the subject.)

Times: Monday Wednesday Friday 10:40 - 11:30 AM

Location: 2225 SAS Hall

Office hours: SAS 4236, WF 1:00 - 2:00 PM and by appointment

Introduction

This is a theory course covering topics including canonical forms, functions of matrices, variational methods, perturbation theory, numerical methods, nonnegative matrices, applications to differential equations, Markov chains.

• Prerequisite: MA 523 or MA 520

References and resources

• Textbook: Matrix Analysis (2. edition)- Roger A. Horn and Charles R. Johnson

• Lecture notes will be posted on Moodle.

• Lecture reccordings will be available on Panapto.

Homework

Weekly assignments will be given. Team collaboration is encouraged. Each submission should be a professional looking document typeset using LaTeX. (A well-written submission will receive an extra bonus point!)

Using LaTeX
LaTeX can help produce beautifully typeset documents and is particularly useful for communicating mathematics.

• Overleaf online editor

• LaTeX NYU website

Late submissions are not acceptable.

Exams

• Midterm 1: February 7, 2025

• Midterm 2: March 21, 205

• Final: April 28, 2025 (Monday), 8:30 am - 11 am

All exams are closed book, notes, internet, calculators, electronic devices.

Grading

Numerical grade = homework (30%) + midterms (35%) + final (35%)

Letter grade

• 97 and above is A+, starting from 93 and below 97 is A, starting from 90 and below 93 is A-.

• Similar for the B, C, and D ranges.

• Anything below 60 is F.

Academic integrity and honesty

Students are required to comply with the university policy on academic integrity found in the Code of Student Conduct 11.35.01 sections 8 and 9. Therefore, students are required to uphold the Pack Pledge: “I have neither given nor received unauthorized aid on this test or assignment.” Violations of academic integrity will be handled in accordance with the Student Discipline Procedures.

Please refer to the Academic Integrity web page for a detailed explanation of the University’s policies on academic integrity and some of the common understandings related to those policies.

Students with Disavilities

Reasonable accommondations will be made for students with verifiable disabilities. In order to take advantage of available accommodations, students must register with the Disability Servic3es Office. For more information on NC State's policy on working with students with disabilities, please see the Academic Accommodations for Students with Disabilities Regulation.