Upper Division Math
Advanced Mathematics courses
Reading by Lecture
Book Sections Coordinated with Lecture Schedule
3F - Duality
Revised Notes on Duality to Supplement Chapters 6 and 7
SVD Example
An example of how Singular Value Decomposition works
7A - Self-adjoint and Normal Operators
Notes for Section 7A
7B - Spectral Theorem
Notes for Section 7B
7C - Positive Operators
Notes for Section 7C
7D - Isometries, Unitary Operators, and QR Factorization
Notes for Section 7D
Roots of Complex Numbers
Visualizing the Regular Polygon of Roots and Principal Roots
Limits that Do Not Exist
Figures that help demonstrate an argument from board in class
Real Powers of Complex Numbers
Real Powers of Complex Numbers and the Golden Ratio Spiral
Contour Integral Practice
Classifying singularities, finding residues, and computing contour integrals