MATH 115A Linear Algebra, Lecture 2
Instructor: Christian Haesemeyer
Office: MS 6304
phone: 310-825-3364
Office hours:M:9-10 W:2-3 F:10-11

Teaching Assistant:Eamonn Tweedy

Time and Location:
  • MWF 11am, MS 5138 (Lectures)and TR 11am, MS 5118 (Discussion section).


  • Syllabus and assignments:
  • Week 1: Fields, vector spaces, subspaces, linear (in)dependence. Sections 1.2 through 1.5 of the textbook.
  • Homework 1, to be returned in class Friday January 14th: 1.2: 12, 13, 18. 1.3: 8, 12, 13, 19. 1.5: 3, 10, 14.
  • Week 2: Bases and dimension. Section 1.6 of the textbook.
  • Homework 2, to be returned in class Friday January 21st: 1.6: 2, 4, 7, 8, 11, 12, 21, 23.
  • Week 3: Linear transformations. Sections 2.1 and 2.2 of the textbook.
  • Homework 3, to be returned in class Friday January 28th: 2.1: 2, 5, 6, 10, 11, 13, 14.
  • Week 4: Matrix representation, composition of linear transformations, isomorphisms. Sections 2.2 through 2.4 of the textbook.
  • Homework 4, to be returned in class Friday February 4th: 2.1: 28. 2.2.: 2, 3, 4, 9, 10, 13, 16.
  • Week 5: Change of coordinate, determinants. Sections 2.5 and 4.4. of the textbook.
  • Homework 5, to be returned in class Friday February 11th: 2.3.: 3, 9, 11. 2.4: 3, 7, 15. 2.5: 2, 8, 9.
  • Week 6: Eigenvalues and Eigenvectors. Section 5.1. of the textbook.
  • Homework 6, to be returned in class Friday February 18th: 5.1.: 2, 4 (a)-(e), 9, 10, 15. 5.2.: 7, 8.
  • Week 7: Diagonalization. Section 5.2. of the textbook.
  • Homework 7, to be returned in class Friday February 25th: 5.1.: 3, 8, 22, 23. 5.2.: 12, 18.
  • Week 8: Inner products, norms, orthogonalization. Sections 6.1 and 6.2 of the textbook.
  • Weeks 9 and 10: Adjoint operators, normal and self-adjoint operators. Review. Sections 6.3. and 6.4. of the textbook.
  • Homework 8, to be returned in class Friday March 11th: 6.1.: 5, 11, 12, 18. 6.2.: 2 (a) and (c), 4, 6, 13, 17
  • Midterm Exams: Will be on January 25th and March 1st. (Note these are Tuesdays.)
  • Exam 1 solutions
  • Review sheet. We will have a review session on Monday March 14th, 4-5pm in MS 5147.
  • Final Exam: Thursday, March 17, 8:00-11:00 in MS 5138.


  • Literature:
  • We are going to use: Friedberg et al. Linear Algebra, 4th (Custom UCLA) Edition.

  • Grading Policy:
    There will be 9 homework assignments, to be handed in in class on Fridays. Late homework will not be accepted; the lowest score will be dropped. There will also be two midterm exams, and a final exam. Make-up exams will not be given. The total score for the course will be based on the better of the following two: homework will account for 15%, each of the midterms for 20% and the final will contribute the remaining 45%. Or, homework 15%, the better of the two midterms 25% and the final 60%. This class will use the myUCLA gradebook facility.

    Requests for a regrading will only be considered within 14 calendar days of the due date of the original assignment, and no later than the day before the final. All such requests must be directed to the instructor; the TA is not allowed to make changes to grades.