SYLLABUS FOR MATHEMATICS 108A: SUMMER 2008

 

Professor John Douglas Moore

TuTh 9:30 - 10:45, Phelps 1448

Email: moore@math.ucsb.edu

Text: Axler, Linear Algebra done Right, Second Edition, Springer, 1997

Note: There will be some material presented in the lectures which is not in the text.

Office Hours: SH 6714, TuWTh  1:00 or by appointment

Grading Policy:  Final 30%, 4 quizzes 50%, homework 20%

(Grading policy is tentative and may be changed later)

 

Tentative Schedule of Topics:

 

Tue, June 24: Vector Spaces (Chapter 1 in text)

Thurs, June 26: Subspaces

 

Tue, July 1: Sums and direct sums; QUIZ 1

Thurs, July 3: Span (Chapter 2)

 

Tue, July 8: Linear independence

Thurs, July 10: Basis for a vector space

 

Tue, July 15 Examples; QUIZ 2

Thurs, July 17: Dimension

 

Tue, July 22: Linear transformations (Chapter 3)

Thurs, July 24: Null space: QUIZ 3

 

Tue, July 29: Range

Thurs, July 31: Invertibility

 

Tue, Aug 5: Polynomials (Chapter 4): QUIZ 4

Thurs, Aug 7: Fundamental theorem of algebra

 

Tue, Aug 12: Eigenvalues (Chapter 5)

Thurs, Aug 14: Eigenspaces; QUIZ 5

 

Tue, Aug 19: Upper triangular matrices

Thurs, Aug 21: Diagonal matrices

 

Tue, Aug 26: Review

Thurs, Aug 28: FINAL EXAM