Math 115A Lecture 6

Winter 2015

Linear Algebra

Lecture Meeting Time: MWF 3:00P-3:50P
Lecture Location: MS 5117

Instructor: Luminita Vese
Office: MS 7620 D
E-mail: lvese[AT]math[DOT]ucla[DOT]edu
Office hours: Mon and Wed, 4-5pm.

Class Web Page: http://www.math.ucla.edu/~lvese/115a.6.15w/

Discussion Section Information
Meeting Time and Location: Tue and Thu 3:00P-3:50P, MS 5117.
Teaching Assistant: Benjamin West
T.A.'s office hours: TBA
T.A.'s office: MS 3949.
T.A.'s email: benwest[AT]math[DOT]ucla[DOT]edu

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 and 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: Wednesday, January 28, in class. Sections covered for the first midterm: 1.1-1.6.

Midterm #2: Friday, February 20, in class. Sections covered for the 2nd midterm:

Final Exam: Wednesday, March 18, 2015, 3:00pm-6:00pm. Sections covered for the final exam:

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%

Some solutions and sample exams

  • Exercises with solutions
  • Exercises with Solutions
  • Exercises with Solutions
  • Exercises with Solutions
  • Exercises with Solutions (NEW)
  • Exercises with Solutions (NEW)
  • Exercises with Solutions (NEW)
  • Exercises with Solutions (NEW)
  • Exercises with Solutions (NEW)
  • Sample Midterm #1
  • Sample Midterm #1
  • Sample Midterm #2 (without solutions)
  • Another Sample Midterm #2 with Solutions
  • Another Sample Midterm #2 with Solutions
  • Exercises with Solutions
  • Exercises with Solutions (Section 6.1) (NEW)

    Weekly Homework Assignments:

    HW #1: due on Friday, January 9 (or on Monday, January 12 exceptionally).
    Reading: Sections 1.1, 1.2 and Appendix C.
    Problems:
    Section 1.2: #2, #10, #12, #18, #19.

    HW #2: due on Friday, January 16.
    Reading: Sections 1.3 and 1.4, 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;

    HW #3: due on Friday, January 23.
    Reading: Sections 1.5 and 1.6.
    Problems:
    Section 1.5: 2(a), 3, 9, 17, 20.
    Section 1.6: 2(d), 8, 12, 20, 26.

    HW #4: due on Friday, January 30.
    Reading: Section 2.1.
    Problems:
    Section 2.1: 3, 6, 9, 11, 12, 13, 17, 19, 22.

    HW #5: due on Friday, February 6.
    Reading: Section 2.2.
    Problems:
    Section 2.2: 4, 8, 13, 14, 15(a), 16;

    HW #6: due on Friday, February 13.
    Reading: Appendix B and Section 2.3. Review properties of matrices from Section 2.3.
    Problems:
    Section 2.3: 3, 4(a), 8, 11, 12, 18.

    HW #7: due on Friday, February 20 (reminder: Midterm #2)
    Reading: Appendix B, Section 2.4.
    Problems: Section 2.4: 2(a), 2(e), 3(a)(b), 4, 5, 10, 14, 21.

    HW #8: due on Friday, February 27.
    Reading: Section 2.5 and review Chapters 3 and 4. Review Section 4.4.
    Problems:
    Section 2.5: 2(d), 3(a), 5, 6(b), 8, 13;
    Section 4.4: 2(b), 3(c), 4(c), 6.

    HW #9: due on Friday, March 6.
    Reading: Sections 5.1-5.2.
    Problems:
    Section 5.1: 3(c), 4(c), 7(a), 8, 15.
    Section 5.2: 2(a), 3(a), 7, 11, 12.

    HW #10: due on Friday, March 13.
    Reading: Sections 6.1-6.2.
    Problems:
    Section 6.1: 2, 3, 5, 11, 12, 18, 23(a)(b), 24(a).
    Section 6.2: #2(a),(g),(i), 9, 13(d).