## MATH 3323 Differential Equations

## Spring 2020 (Section 313)

- Problem Set 1
- Problem Set 2
- Problem Set 3
- Problem Set 4
- Problem Set 5
- Problem Set 6
- Problem Set 7
- Problem Set 8
- Problem Set 9
- Problem Set 10
- Problem Set 11 (Bonus problem set)
- First Day Quiz
- Lecture 3 (slides)
- Lecture 4
- Lecture 5 and 6
- Lecture 7 and 8
- Lecture 15 (March 9th)
- Lecture 17 (March 31st)
- Lecture 18 (April 2nd) (Video of lecture posted on Canvas)
- Lecture 19 (April 7th) (Video of lecture posted on Canvas)
- Lecture 20 (April 9th) (Video of lecture posted on Canvas)
- Lecture 21 (April 14th) (Video of lecture posted on Canvas)
- Lecture 22 (April 16th) (Video of lecture posted on Canvas)
- Lecture 23 (April 21st) (Video of lecture posted on Canvas)
- Lecture 24 (April 23rd) (Video of lecture posted on Canvas)
- Lecture 25 (April 28th) (Video of lecture posted on Canvas)
- Lecture 26 (April 30th) (Video of lecture posted on Canvas)

**Lecture Times**: Tuesday and Thursday 3:30-4:50 pm

**Office Hours**: Tuesday and Thursday 2:00-3:20 pm

**''Email Office Hours''**: Fridays 9:00-11:00 am.

From the course catalog:

*A course covering solutions to the more common types of ordinary differential equations, especially those of first and second order, with emphasis on geometrical and physical interpretations*

The objective of this course is for the student to gain practice in the craft and science of differential equations. Differential equations are used to describe, understand, and predict the behavior things in all kinds of fields of knowledge and accordingly this area of mathematics can be daunting. We will emphasize the study of methods that produce explicit formulas for solutions, such as separation of variables, integrating factor, and variation of parameters. We will also discuss what it means for there to be a solution, whether that solution exists, or is even unique. The type of equations we will be able to solve to our complete satisfaction will be those with adjectives like separable, one dimensional, and linear. Other, far more complicated equations will be discussed briefly, and the methods to analyze and solve them will be left for more advanced courses.

The course will also cover some advanced methods of solution, such as power series representation and Laplace's transform. By the end of the course the student will be able to recognize which of the basic methods applies to a given problem, derive formulas for solutions of various types of equations, and infer qualitative properties of solutions to more complicated equations when explicit formulas are not available.

The

**course syllabus**, which covers grading policies, lecture schedule, etc can be accessed here.

**Problem Sets**

**Other course materials**