Teaching

MTH 675. Riemannian geometry

HW

HW1

HW2

HW3

HW4

MTH 341. Linear algebra (syllabus) (schedule)

Notes (clean)

Systems of equations

Matrices

Solutions and homogeneous systems

Linear transformations

Change of basis

Kernel and image

Eigenvectors (appendix)

Solving polynomials

Diagonalization

Complex Eigenvalues

Applications of eigenvalues

Notes (annotated)

Systems of equations

Matrices

Solutions and homogeneous systems

Elementary matrices

Subspaces, bases

Linear transformations (again)

Change of basis

Kernel and image

Eigenvectors (appendix)

Solving polynomials

Diagonalization

Complex Eigenvalues

Applications of eigenvalues

Worksheets

16 (solutions) (notes)

Homework

Quizzes

Q1 (solutions)

Q2 (solutions)

Q3 (solutions)

Q4 (solutions)

Final

Practice (key) (notes)

Exam (solutions)

MTH 419. Advanced calculus (syllabus) (schedule)

Homework

Exams/Quizzes

Q1 (solutions)

Midterm (solutions)

Q2 (solutions) (practice)

Final (solutions) (practice)

MTH 434/534. Introduction to Differential Geometry (syllabus)

Notes

Differential calculus review

Homework

Homework solutions

Quizzes/Exams

Study guides

Math 230. Calculus of several variables

Extra material

Dot product

Cross product

Quadric surfaces

How to solve line integrals

How to solve surface integrals

Office hours notes

Study guides (collaboration with Ana Cristina Chávez Cáliz)

Study guides solutions