Lecture Meeting Time: MWF 1:00P-1:50P

Lecture Location: MS 5138

**Instructor:**
Luminita Vese

Office: MS 7620 D

E-mail: lvese@math.ucla.edu

Office hours (subject to change): Mon 4-5pm, Wed 5-6pm, Friday 5.00-6.00pm, or by appointment.

Virtual Office Hours

Class Web Page: http://www.math.ucla.edu/~lvese/115a.3.07f/

Discussion Section Information | ||||
---|---|---|---|---|

Section ID | Section | Classroom | Time | TA Name |

262398221 | 3a | MS 5138 | Tue, Thu 1:00P-1:50P | Alejandro Cantarero |

T.A.'s office hours (tentative, subject to change): Tue 12pm-1pm, Thu 2-3pm.

T.A.'s office: MS 3919

**Textbook:** S.H. Friedberg, A.J. Insel, and L.E. Spence, *Linear Algebra*, Prentice Hall 2003.

**Requisite:** course Math 33A: Linear Algebra and Applications

**Course Description:** Abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory.

__MATHEMATICAL PROOFS__ will be emphasized in the class, in the homework assignments and in the written examinations.

General Course Information

Math 115A: General Course Outline

**Homework Policy:** The homework will be assigned every week and will be collected during lecture on Friday.
No late homework will be accepted. The lowest homework grade will be dropped and will not count for the final grade.

You are encouraged to solve as many problems as you can from the textbook, and not only those from the homework assignment.

**Examinations:**
Two midterm exams and one final exam.

**Midterm #1:** Monday, October 22, time 1-1.50pm. Topics covered for the first midterm: Sections 1.1-1.6, and 2.1.

**Midterm #2:** Monday, November 19, time 1-1.50pm. Sections covered for the 2nd midterm: 2.1-2.5, 4.4, 5.1-5.2 (from Section 5.2, only up to page 272).

**Final Exam** (Code: 06) - Monday, December 10, 2007, 11:30am-2:30pm.

- All sections are covered for the final exam. However, more questions will be given from Sections 6.1-6.4

- 1 or 2 additional problems for extra credit will be given at the final exam, for those that would like to improve their midterm(s).

Friday December 7 will be a review session in class. Additional office hours and/or review sessions will be announced soon.

The examinations are closed-book and closed-note.
No exams at a time other than the designated ones will be allowed (exceptions for illness with document proof, or emergency).

**Grading Policy:** Hw 20%, Each midterm 20%, Final 40%

** Weekly Homework Assignments: **

**HW #1:** due on Friday, October 5, 2007.

__Reading__: Sections 1.1, 1.2 and Appendix C.

__Problems__:

Section 1.1: 1(a), 2(b), 3(d), 6;

Section 1.2: 2, 10, 12, 18, 19.

**HW #2:** due on Friday, October 12

__Reading:__ Sections 1.3, 1.4 and 1.5, including all solved examples.

__Problems:__

Section 1.3: 5, 8(b), 8(d), 17, 20;

Section 1.4: 3(f), 4(f), 5(f), 11, 13;

Section 1.5: 2(a), 2(f), 3, 9, 17, 18, 20;

__Note:__ Please solve all problems from each section, not only those
assigned in the homework.

**HW #3:** due on Monday, October 22 (only this time)

__Reading:__ Sections 1.6, 2.1, and Appendix B.

__Problems:__

Section 1.6: 2(d), 6, 8, 12, 20, 26, 31, 32(c).

Section 2.1: 3, 6, 9, 11, 12, 13, 17, 19, 22.

__Note:__ Please solve all problems from each section, not only those
assigned in the homework.

**HW #4:** due on Friday, October 26, or on Monday, October 29.

__Reading:__ Section 2.2.

__Problems:__

Section 2.2: 4, 8, 13, 14, 15(a), 16;

**HW #5:** due on Monday, November 5

__Reading:__ Appendix B, Sections 2.3 and 2.4.

__Problems:__

Section 2.3: 2, 9, 11, 12, 15, 17.

Section 2.4: 2(a), 2(e), 4, 5, 10, 17, 20.

**HW #6:** due on Monday, November 12 (holiday, thus due on Tuesday Nov. 13 during the discussion section).

__Reading:__ Sections 2.5, review chapters 3 and 4.

__Problems:__

Section 2.5: 2(d), 5, 6(b), 7(a) (see example 3), 8, 13;

Section 4.4: 2(b), 4(h), 6.

**HW #7:** due on Monday, November 19 (reminder: midterm #2)

__Reading:__ Sections 5.1-5.2.

__Problems:__

Section 5.1: 3(c), 4(c), 7(a), 8(a)(b), 14, 15, 17(a).

Section 5.2: 2(a), 2(g), 3(a), 3(e), 7, 8, 11, 12.

**HW #8:** due on Monday, November 26

Reading: Section 5.2 (including the optional material on "Direct Sums")

**Problems:**

Section 5.2: 17, 18, 19, 21, 22.

**HW #9:** due on Monday, December 3rd

Reading: Sections 6.1 and review the appendix on complex numbers

**Problems:**

Section 6.1: 2, 3, 5, 11, 12, 18, 22(a), 23(a), 24(a).

Please solve as many problems as you can from Section 6.1.

**HW #10:** due on Friday, December 7, or on Monday, December 10 (day of the final exam); no late homework accepted.
Reading: Sections 6.2-6.4.

**Problems:**

Section 6.2: #2(a),(g),(i), 9, 13(d)

Section 6.3: 2(b), 3(c), 8, 12

Section 6.4: 2(a),(c), 4, 6(a).

Please solve as many problems as you can from sections 6.2-6.4.