PAUL BALMER
Professor of Mathematics
UCLA

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TEACHING

MATH 115A - LINEAR ALGEBRA - Fall 2014 - Lectures 3 and 4.
DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT WITH ANY OF THE EXAMS!
Schedule & TAs
Lecture 3: MWF 10-10:50, MS 5147. TA: Jeff Lin.
Lecture 4: MWF 11-11:50, MS 5147. TA: Josie Bailey.
Textbook
S. Friedberg, et al, Linear Algebra, Custom UCLA 4th Ed., Prentice Hall. See details at UCLA store.
Calendar and outline
Week 0-1: §§ 1.2-1.4: Vector spaces and subspaces. Linear combinations.
Week 2: §§ 1.5-1.6: Linear (in)dependence, bases and dimension.
Week 3: §§ 2.1-2.2: Linear transformations and matrices.
Week 4: (Monday October 27: Midterm 1) § 2.3: Composition and matrix multiplication.
Week 5: §§ 2.4-2.5 & § 4.4: Invertibility and change of coordinates. Recalling determinants.
Week 6: §§ 5.1-5.2: Eigenvalues and eigenvectors. Diagonalizability.
Week 7: § 5.2 & § 6.1: Diagonalizability. Inner products. Review.
Week 8: (Monday November 24: Midterm 2) § 6.1: Norms.
Week 9: §§ 6.2-6.3: Gram-Schmidt. Adjoint operators.
Week 10: §§ 6.4: Normal and self-adjoint operators. Review.
Testing
Weekly homework due every Friday in class - see details below.
1st midterm: Monday, October 27, in class.
2nd midterm: Monday, November 24, in class.
Final exam: Thursday, December 18, 3:00-6:00 pm (lec.3) and 8:00-11:00 am (lec.4), in class (MS 5147).

Missed it?
If you miss an exam or a homework deadline, don't worry! The system is flexible: You can miss two homework without consequences. Also, if you miss one midterm, your final will simply weigh more. Things happen - I understand. However, instead of giving make-up exams, I build in some flexibility in the grading scheme. So, you don't need to come and tell me what happened because there will be NO MAKE-UP AT ALL, under no circumstances, neither for homework, nor for the midterms, nor for the final exam.