Syllabus: Chapter 1 (Logic and Proofs): 1.1, 1.3, 1.4 -1.6  , Chapter 2 (Sets and Functions), Chapter 5 (Induction): 5.1-5.3, Chapter 9 (Relations)

The Zermelo Fraenkel Axioms; Equivalence of Sets in form of  my notes.

Grading: Midterm is worth  40%, the final is worth 40% and Homework is worth 20%.

For turning in Homework, students need to get the software program Scientific Notebook.

Course Overview: Basics of random sampling and an introduction to Monte Carlo methods, a review of multivariable calculus and linear algebra, orthogonality, projection and visualization in higher dimensions, least squares approximation and multiple linear regression, discrete and continuous dynamical systems, stability theory associated with steady states and periodic solutions for continuous and discrete dynamical systems, periodic solutions for discrete dynamical systems, and multiple applications. Computations will be part of regular assignments, and I'll provide guidance and sample code using Excel, Matlab and Python. Students who decide to use Excel are expected to have access and basic familiarity with Excel, but they are not expected to know advanced spreadsheet functionality or have programming experience with VBA. Students will not be tested over Excel/VBA, Matlab, Python, etc. but it will be necessary to use these types of tools to complete many of the computations in the assignments.

Course Homepage: This course will use the Space LMS. After 5/25/2020, go to https://www.space.uh.edu, create an account, and access the course.

Live Online Meetings: The class will have optional live online meetings on Thursday evenings from 8-10:00pm, starting week 2. Students are strongly encouraged to attend the live online sessions. Notes and a video of the session will be posted for students who cannot attend.

Discussion Board Activity: All students are expected to discuss the course material via the discussion board.

To view the full course syllabus, click this PDF link.

Syllabus:  Chapter 1, Chapter 2, Chapter 3, Chapter 4 (4.1-4.4), Chapter 5 (5.1-5.2) (probably not covered)

Course Description: The general theory of Vector Spaces and Linear Transformations will be developed in an axiomatic fashion. Determinants will be covered  to study eigenvalues, eigenvectors and diagonalization.
Grading:  There will be  three  Tests and the Final. I will take the two highest test scores (60%) and the mandatory final (40%). Tests and the Final are based on homework problems and material covered in class.

The instructor will cover Sections 5-7 of the textbook. Topics include: Eigenvalues/Eigenvectors, Cayley-Hamilton Theorem, Inner Products and Norms, Adjoints of Linear Operators, Normal and Self-Adjoint Operators, Orthogonal and Unitary Operators, Jordan Canonical Form, Minimal Polynomials.

TBA