Professor
Tara Holm Office: Malott 589 Phone: 6072552392 


If you have any questions, please come by my office, or send me email!!
Syllabus: Available in PDF.
Questionnaire from the first lecture: Available in PDF.
Date 
Lecture Material 
Notes
from Lecture 
Week 1 

8/23/07 
1.1, 1.2: Points and Vectors, Matrices  
Week 2 

8/28/07 
1.2, 1.3: Matrices,
Transformations 
Some
questions from lecture 
8/30/07 
1.3, 1.4: Transformations,
Geometry of Euclidean space 
Some
questions from lecture 
Week 3 

9/4/07 
2.1, 2.2: Row reduction, solving
equations 
Some
notes following lecture 
9/5/07 
Recitation: Induction proofs 
Induction handout 
9/6/07 
2.3: Matrix Inverses, elementary
matrices 
Some
notes and extra exercises 
Week 4 

9/11/07 
2.4: Linear combinations, span,
and linear independence 

9/13/07 
2.5: Kernels, images, and the
dimension formula 

Week 5 

9/18/07 
2.6: Abstract vector spaces 
Some
notes and extra exercises 
9/20/07 
Prelim 1 

Week 6 

9/25/07 
2.6,1.5: Limits of functions, continuity 

9/27/07 
1.5 continued 

Week 7 

10/2/07 
1.6,1.7: Four big theorems; Differential calculus 
Some extra comments 
10/4/07 
1.7,1.8: More derivatives 

Week 8 

10/9/07 
No Class  Fall Break 

10/11/07 
1.9: Mean Value Theorem, Criteria for derivatives 
Notes on the Mean Value Theorem Multidimensional Rolle's 
Week 9 

10/16/07 
2.7: Eigenvectors and eigenvalues 

10/18/07 
2.8,2.9: Newton's method, superconvergence 

Week 10 

10/23/07 
2.10,3.1: Inverse and Implicit function theorems, manifolds 
Reference for IFTs 
10/25/07 
3.1,3.2: More about manifolds, tangent spaces 

Week 11 

10/30/07 
3.3,3.4: Taylor polynomials 

11/1/07 
3.4,3.5: More on Taylor polynomials; Quadratic forms 

Week 12 

11/6/07 
3.5: Quadratic forms 

11/8/07 
3.6: Classifying critical points 
Some
notes on quadrics 
Week 13 

11/13/07 
3.7: Constrained critical points and Lagrange multipliers 

11/15/07 
3.7: More Lagrange multipliers, catch up! 

Week 14 

11/20/07 
3.8: Geometry of curves and surfaces 
Some
notes on Dynkin diagrams NYTimes article 
11/22/07 
No Class  Thanksgiving Break 

Week 15 

11/27/07 
3.8: More curves and surfaces 

11/29/07 
Catch up! 

12/7/07 
FINAL EXAM!! 