Course Overview

Following “Linear Algebra I”’, “Linear Algebra II” will also concentrate on the basics of linear algebra. Emphasis will be given to topics that
will be useful in other disciplines, such as determinants, eigenvalues,
positive definite matrices, Fourier series and the Fast Fourier
Transform. Some homework problems may require you to use a program such as MATLAB or Mathematica, an important tool for numerical linear algebra.
No previous programming experience is required.

Learning Achievement

Following “Linear Algebra I”’, “Linear Algebra II” will also concentrate on the basics of linear algebra. Emphasis will be given to topics that will be useful in other disciplines, such as determinants, eigenvalues, positive definite matrices, Fourier series and the Fast Fourier Transform. Some homework problems may require you to use a program such as MATLAB or Mathematica, an important tool for numerical linear algebra. No previous programming experience is required.

Competence

Related to 1. Mathematical logic and calculation skills.

Course prerequisites

“Linear Algebra I” course

Grading Philosophy

Homework 40 %
Midterm Exam 30 %
Final Exam 30 %

Course schedule

Properties of determinants
Properties of determinants
Eigenvalues and eigenvectors
Eigenvalues and eigenvectors
Symmetric matrices and positive definite matrices
Symmetric matrices and positive definite matrices
Singular Value Decomposition (SVD)
Singular Value Decomposition (SVD)
Linear transformations and change of basis
Linear transformations and change of basis
Similar matrices and Jordan form
Similar matrices and Jordan form
Complex matrices and Fast Fourier transform
Complex matrices and Fast Fourier transform
Markov matrices and Fourier series
Markov matrices and Fourier series
Linear programming
Linear programming

Course type

Lectures and Class Exercises

Online Course Requirement

Instructor

Sharmin Sonia

Other information

The homework is essential in learning linear algebra. You are encouraged to talk to other students about difficult problems. But you must write your own solutions.
There will be a midterm one-hour exam at class times and a final exam. The use of calculators or notes is not permitted during the exams.

Site for Inquiry

Link to the syllabus provided by the university