PAUL BALMER
Professor of Mathematics
UCLA

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TEACHING

MATH 115A - LINEAR ALGEBRA - Fall 2016.
DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT WITH ANY OF THE EXAMS!
Schedule & TAs
Lectures: MWF 2-2:50 pm, MS 5147.
Discussions: RT 2-2:50 pm, MS 5147, with TA John Zhang.
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: (Wednesday October 19: first midterm) § 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 14: second midterm) §§ 6.1-6.2: Norms and Gram-Schmidt.
Week 9: § 6.3: 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: Wednesday, October 19, in class.
2nd midterm: Monday, November 14, in class.
Final: Monday, December 5, 3:00-6:00 pm, in class.
Missed it?
There will be NO MAKE-UP AT ALL, under no circumstances, neither for homework, nor for the midterms, nor for the final exam. If you miss a midterm or a homework deadline, don't worry! The system is flexible: You can miss two homework without consequences. If you miss one midterm, your final will simply weigh more.
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 immediately when picking up the exam. Exams must be picked-up within two weeks of the exam date. After this time, no requests for corrections will be honored.
Homework
The numbers refer to problems in the corresponding section of the textbook.
 Week Due date Exercises in textbook 1 Fri, Sep 30 § 1.2: Ex: 6, 7, 9, 15, 16, 19, 20, 22; § 1.3: Ex: 6, 8, 19, 24, 29, 30, 31. 2 Fri, Oct 7 § 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, Oct 14 § 2.1: Ex: 3, 5, 11, 13, 14, 17, 18, 21, 24, 26, 31, 36. 4 Fri, Oct 21 § 2.2: Ex: 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16. 5 Fri, Oct 28 § 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, Nov 4 § 2.5: Ex: 3, 5, 6, 8, 9, 10, 11, 13, 14; § 4.4: Ex: 1, 3, 4, 5, 6. 7 Wed, Nov 9 (or Nov 10) § 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, Nov 18 § 6.1: Ex: 2, 8, 9, 10, 12, 14, 15, 16, 18, 21; § 6.2: Ex: 2, 6, 7, 8, 10, 11. 9 Tue, Nov 22 § 6.2: Ex: 12, 13, 14, 16, 17, 18; § 6.3: Ex: 7, 8, 9, 10, 11, 12, 13, 14. 10 Fri, Dec 2 § 6.4: Ex: 3, 4, 6, 7, 9, 11, 13, 17, 21.

MATH 210A - ALGEBRA - Fall 2016.
General information
Schedule: MWF 10:00-10:50 in MS 5118.
My office hours.
Discussion: Thursday 10:00-10:50 in MS 5118, with TA Ian Coley.
Suggested textbook
Serge Lang, Algebra, Springer GTM 211.
Richard Elman, Lectures on Abstract Algebra.
Homework
Due in Discussion every Thursday.
Week 1: HW 1 due on September 29.
Week 2: HW 2 due on October 6.
Week 3: HW 3 due on October 13.
Week 4: HW 4 due on October 20.
Week 5: HW 5 due on October 27;.
Week 6: HW 6 due on November 3.
Week 7: HW 7 due on November 10.
Week 8: HW 8 due on November 17.
Week 9: HW 9 due on Wednesday November 23.
Week 10: HW 10 due next quarter.
Testing
Midterm: Monday, November 7, in class.
Final exam: Monday, December 5, 8:00-11:00, in class.
Overall grade = 10% homework + 20% midterm + 70% final (midterm score replaced by final if better).

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