MATH 115A Linear Algebra, Lecture 4
Instructor: Christian Haesemeyer
Office: MS 6304
Office hours:M:10:30-11:30 W:3-4 F:9:30-10:30
Teaching Assistant:Patrick Allen
Time and Location:
MWF 2pm, MS 5117 (Lectures)and TR 2pm, MS 5117 (Discussion section).
Syllabus and assignments:
Week 1: Fields, vector spaces, subspaces, linear (in)dependence. Sections 1.2 through 1.5 of the textbook.
Week 2: Bases and dimension. Section 1.6 of the textbook.
Homework 1, due October 10th. Solutions.
Week 3: Linear transformations. Sections 2.1 and 2.2 of the textbook.
Friday, October 17: First midterm exam. Solutions.
Week 4: Matrix representation, composition of linear transformations, isomorphisms. Sections 2.2 through 2.4 of the textbook.
Homework 2, due October 24th. Solutions.
Week 5: Change of coordinate, determinants. Sections 2.5 and 4.4. of the textbook.
Week 6: Eigenvalues and Eigenvectors. Section 5.1. of the textbook.
Homework 3, due November 7th. Update: New version posted October 28: The "right to left" in problem 1 is replaced by "left to right". Also, in problem 4, you may assume V has finite dimension. Solutions.
Week 7: Diagonalization. Section 5.2. of the textbook.
Friday, November 14: Second Midterm exam. Solutions.
Week 8: Inner products, norms, orthogonalization. Sections 6.1 and 6.2 of the textbook.
Homework 4, due November 21st. Update: New version posted November 11. The hint in problem 5 needs to be modified.Solutions.
Weeks 9 and 10: Adjoint operators, normal and self-adjoint operators. Review. Sections 6.3. and 6.4. of the textbook.
Homework 5, due December 5th.Solutions.
Final Exam: Wednesday, December 10, 11:30-2:30 in MS 5117.
We are going to use: Friedberg et al. Linear Algebra, 4th (Custom UCLA) Edition.
There will be 5 homework assignements, 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 homework will account for 20% of the grade, as will each of the midterms; the final will contribute the remaining 40%. If you should miss a midterm due to documented illness or other emergency, the remaining midterm will count for 25% and the final for 55% of the grade. 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.