**MATH 33B Differential Equations, Lecture 1**
**Instructor:** Christian Haesemeyer
**Office: MS 6304**
**phone:** 310-825-3364
**Office hours:**M:9-11 W:11-12

**Time and Location:**
MWF 8am, MS 4000A (Lectures)

**Discussion sections:**

A: T 8am, MS 6229. D. Roberts.

B: R 8am, MS 6229. D. Roberts.

C: T 8am, MS 5147. Q. Maurmann.

D: R 8am, MS 5147. Q. Maurmann.

E: T 8am, MS 5138. W. Rosenbaum.

F: R 8am, MS 5138. W. Rosenbaum.

**Syllabus and assignments:**
Week 1: Separable and linear equations. Sections 2.1, 2.2, 2.4 in the textbook.
Homework 1, to be turned in in class Wednesday April 6th. Section 2.2., problems 4,6,8,14,16,18,34,36
Week 2: Mixing problems; exact differential equations. Sections 2.5. and 2.6.
Homework 2, to be turned in in class Wednesday April 13th. Section 2.4, problems 2,4,6,14,18. Section 2.5, problems 2,4,6. Section 2.6, problems 2,4,6,8.
Week 3: Existence and uniqueness; autonomous equations. Sections 2.7, 2.9, 4.1.
Homework 3, to be turned in in class Wednesday April 20th. Section 2.6, problems 10,12,14,16,22,24,26,30,36,44,46. section 2.7, problems 2,4,6,8.
Week 4: Second order constant coefficient equations. Section 4.3.
Homework 4, to be turned in in class Wednesday April 27th. Section 2.9, problems 8,10,14,18,22,30. Section 4.1, problems 2,4,6,8,14,16,22,26.
Week 5: Harmonic motion; undetermined coefficients; variation of parameters. Sections 4.4, 4.5, 4.6.
Homework 5, to be turned in in class Wednesday May 4th. Section 4.3., problems 2,4,6,12,14,16,20,22,26,30,36. Section 4.4., problems 12,16,18. Section 4.5, problems 2,4,6,10.
Week 6: Linear systems with constant coefficients. Sections 9.1, 9.2.
Homework 6, to be turned in in class Wednesday, May 11th. Section 4.6., problems 2,4,6,8,10,14. Section 9.1., problems 2,6,10,,14,18,20,26.
Week 7: Phase plane portraits; the trace-determinant plane. Sections 9.3, 9.4.
Homework 7, to be turned in in class Wednesday May 18th. Section 9.2., problems 2,8,10,12,16,24,30,34,38,42,52,54,58.
Week 8: Higher dimensional systems. Section 9.5.
Homework 8, to be turned in in class Wednesday May 25th. Section 9.4., problems 2,4,6,8,10 (ignore the part about the "numerical solver"). Section 9.5., problems 2,4,6,8,10,18.
Weeks 9 and 10: The exponential of a matrix; review. Section 9.6
Homework 9, to be turned in in class Wednesday June 1st. Section 9.6., problems 2,4,6,8,10,12,18,20,26,46.
**Midterm Exams:** Will be on April 18th and May 16th in class.
**Final Exam:** Friday, June 10th, 11:30am. **Note:** The exam will be in **Moore Hall 100.**

**Literature:**
We are going to use: Polking et al. *Differential equations*, 2nd Edition.

**Grading Policy:**

There will be 9 homework assignments, to be handed in in class on Wednesdays. 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 are not scheduled; if you have a documented illness or emergency requiring you to miss one of the midterms, please inform me as soon as possible. The total score for the course will be based on the following distribution: homework will account for 5%, each of the midterms for 20% and the final will contribute the remaining 55%. 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. Note that a request for regrading may result in a lower score if too high a score was mistakingly assigned originally.