MTH 341. Linear algebra (syllabus) (schedule)
Systems of equations
Matrices
Solutions and homogeneous systems
Matrix algebra
Matrix algebra II
Elementary matrices
Determinants I
Determinants II
Spanning sets
Subspaces, bases
Row and column space
Linear transformations
Change of basis
Kernel and image
Eigenvectors (appendix)
Solving polynomials
Diagonalization
Complex Eigenvalues
Applications of eigenvalues
Linear transformations (again)
1
2
3
4
5
6
7
8
9
10
11
12
Extra
13
14
15
16 (solutions) (notes)
17
18
19
20
HW1
HW2
HW3
HW4
HW5
Q1 (solutions)
Q2 (solutions)
Q3 (solutions)
Q4 (solutions)
Practice (key) (notes)
Exam (solutions)
MTH 419. Advanced calculus (syllabus) (schedule)
Convergence
Open and closed sets
Compact sets
Connected sets
Limits and continuity
Compact sets and functions
Connected sets and functions
Partial derivatives
Chain rule
Inverse Function Theorem
Implicit Function Theorem
Second derivatives
Integrals
Jordan measure
Pavings and refinements
Change of variables I
Change of variables II
Manifolds
Tangent spaces
HW1 (solutions)
HW2 (solutions)
HW3 (solutions)
HW4 (solutions)
Midterm (solutions)
Q2 (solutions) (practice)
Final (solutions) (practice)
MTH 434/534. Introduction to Differential Geometry (syllabus)
Jan 8
Jan 13
Jan 21
Feb 10
Feb 21
Feb 28
Fenchel thm
Umlaufsatz
Differential calculus review
HW6
HW7
HW8
HW9
HW10
Quiz 1
Quiz 2
Quiz 3
Quiz 4
Quiz 5
Midterm Exam
Quiz 7
Quiz 8
Quiz 9
Midterm guide 1
Midterm guide 2
Final guide 1
Final guide 2
Math 230. Calculus of several variables
Dot product
Cross product
Quadric surfaces
How to solve line integrals
How to solve surface integrals
January 19
March 31
April 27
HW12 Problem 9
May 1
May 2
Quiz 6
Quiz 10
Quiz 11
Exam 1
Exam 2
Exam 3
Final Exam
Study guides solutions