PAUL BALMER
Professor of Mathematics
UCLA

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TEACHING

MATH 115A - LINEAR ALGEBRA - SPRING 2012.
Schedule and TA.

Textbook
S. Friedberg, et al, Linear Algebra, Custom UCLA 4th Ed., Prentice Hall. See details at UCLA store.

Calendar and outline
Week 1: §§ 1.2-1.4: Vector spaces and subspaces. Linear (in)dependence.
Week 2: §§ 1.5-1.6: Bases and dimension.
Week 3: §§ 2.1-2.2: Linear transformations and matrices.
Week 4: (Monday April 23: Midterm 1) § 2.3: Composition and matrix multiplication.
Week 5: §§ 2.4-2.5: Invertibility and change of coordinates.
Week 6: § 4.4 & § 5.1: Recalling determinants. Eigenvalues and eigenvectors.
Week 7: § 5.2: Diagonalizability.
Week 8: (Monday May 21: Midterm 2) §§ 6.1-6.2: Inner products and norms.
Week 9: (Monday May 28: holiday) §§ 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, April 23, in class.
2nd midterm: Monday, May 21, in class.
Final exam: Wednesday, June 13, 8:00-11:00 am, in room MS 5137.

DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT WITH ANY OF THE EXAMS!

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.

Homework will simply record regularity of your work, independently of the quality. So, do not waste your time copying other people's work! Returning 8 out of the 10 weekly homework gives you full HW score.
Midterms count for 15% each. However, if you do better on the final than on one of the midterms, your lowest midterm grade is dropped and the final counts 75% instead of 60%.
In short, your overall final grade will be the best of the following two variants:
• 10% homework + 30% for both midterms + 60% final.
• 10% homework + 15% best midterm + 75% final.
Regrades on midterms must be requested within two weeks of the exam date. After this time, no requests for corrections will be honored.

Homework
The numbers correpond to problems in the corresponding section of the textbook.
 Week Due date Exercises in textbook 1 Fri, Apr 6 § 1.2: Ex: 6, 7, 9, 15, 16, 19, 20, 22; § 1.3: Ex: 6, 8, 19, 24, 29, 30, 31. 2 Fri, Apr 13 § 1.4: Ex: 2, 3, 8, 10, 12, 14, 15, 16; § 1.5: Ex: 3, 6, 7, 13, 17, 18, 19; § 1.6: Ex: 4, 9, 11, 14, 15, 17, 22, 29, 32. 3 Fri, Apr 20 § 2.1: Ex: 3, 5, 11, 13, 14, 17, 18, 21, 24, 26, 31, 36. 4 Fri, Apr 27 § 2.2: Ex: 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16; 5 Fri, May 4 § 2.3: Ex: 3, 4, 11, 12, 13, 16, 17; § 2.4: Ex: 2, 3, 4, 7, 9, 13, 14, 15, 17, 19, 23. 6 Fri, May 11 § 2.5: Ex: 3, 5, 6, 8, 9, 10, 11, 13, 14; § 4.4: Ex: 1, 3, 4, 5, 6. 7 Fri, May 18 § 5.1: Ex: 3, 4, 6, 7, 9, 12, 13, 22, 23; § 5.2: Ex: 3, 8, 9, 10, 11, 12, 13, 14, 16. 8 Fri, May 25 § 6.1: Ex: 2, 8, 9, 10, 11, 12, 14, 15, 16, 18, 21, 22, 23. 9 Fri, June 1 § 6.2: Ex: 2, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18; § 6.3: Ex: 7, 8, 9, 10, 11, 12, 13, 14. 10 Fri, June 8 § 6.4: Ex: 3, 4, 6, 7, 9, 11, 13, 17, 21.

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