APMA 0350

Welcome to APMA 0350, an exciting dif-fun-rential equations adventure awaits you! On this website, you can find the syllabus, lecture notes, homework assignments, and study materials.

Syllabus

APMA 0350 Syllabus (Spring 2024)

Homework Extension Request Form

Lecture Notes

Note: Please refresh your webpage frequently so that you have the most up-to-date version of the notes.

#	Date	Chapter	Lecture Title
1	Jan 24	1	What is a differential equation?
2	Jan 26	1	Direction Fields
3	Jan 29	1	Qualitative Methods
4	Jan 31	1	Existence and Uniqueness
5	Feb 2	2	Separable Equations
6	Feb 5	2	Integrating Factors
7	Feb 7	2	Applications
8	Feb 9	2	Exact Equations
9	Feb 12	2	Euler’s Method (I)
10	Feb 14	2	Euler’s Method (II)
11	Feb 16	3	Second-Order ODE
12	Feb 21	3	Complex Roots
13	Feb 23	3	Boundary-Value Problems
14	Feb 26	3	Undetermined Coefficients
15	Feb 28	3	Mech and Forced Vibrations
16	Mar 1		Midterm 1
17	Mar 4	3	Variation of Parameters
			The Wronskian (optional)
18	Mar 6	3	(continuation)
19	Mar 8	4	Laplace Transform
20	Mar 11	4	Initial Value Problems
21	Mar 13	4	Step Functions (I)
22	Mar 15	4	Step Functions (II)
23	Mar 18	4	ODE with Jumps
24	Mar 20	4	Dirac Delta
25	Mar 22	4	Convolution
26	Apr 3		Midterm 2 – Review
27	Apr 5		Midterm 2
28	Apr 8	5	Systems of ODE (I)
29	Apr 10	5	Linear Algebra Review
			Full Version
30	Apr 12	5	Systems of ODE (II)
31	Apr 15	5	Repeated Eigenvalues
			Peyamstagram
32	Apr 17	5	Complex Eigenvalues
33	Apr 19	5	Variation of Parameters
34	Apr 22	6	Nonlinear Systems
35	Apr 24		Final Exam – Review (updated)
36	Apr 26	6	Ecology: Competing Species (via Zoom)
37	Apr 29	6	Epidemiology: SIR Models (via Zoom)
38	May 16		Final Exam

Assignments

Homework	Due Date	Solutions
Homework 1	Feb 2	Solutions
Homework 2	Feb 9	Solutions
Homework 3	Feb 16	Solutions
Homework 4	Feb 23	Solutions
Coding 1	Feb 23	Solutions
Homework 5	Mar 8	Solutions
Homework 6	Mar 15	Solutions
Homework 7	Mar 22	Solutions
Coding 2	Mar 22	Solutions
Homework 8	Apr 15	Solutions
Homework 9	Apr 22	Solutions
Coding 3	Apr 22	Solutions
Homework 10	Apr 29	Solutions
Mini Project	May 6

Exams

Midterm 1: Friday, March 1 (12-12:50 pm) covers Lectures 1-12

Practice Exam	Solutions	Comments
Study Guide
Mock Midterm 1	Solutions	Ignore 6
Mock Midterm 2	Solutions	Ignore 2, 3
Mock Midterm 3	Solutions	Spring 2023 Midterm 1
Mock Midterm 4	Solutions	Summer 2023 Midterm 1
Mock Midterm 5	Solutions	Fall 2023 Midterm 1
Midterm 1	Solutions	Spring 2024 Midterm 1
Midterm 1 – Review
More Midterm 1 Review		Courtesy Caleb Evert

Midterm 2: Friday, April 5 (12-12:50 pm) covers Lectures 11-25

Practice Exam	Solutions	Comments
Study Guide
Laplace Table
Mock Midterm 1	Solutions	Ignore 5
Mock Midterm 2	Solutions	Ignore 5
Mock Midterm 3	Solutions	Spring 2023 Midterm 2
Mock Midterm 4	Solutions	Summer 2023 Midterm 2
Mock Midterm 5	Solutions	Fall 2023 Midterm 2
Midterm 2	Solutions	Spring 2024 Midterm 2
Midterm 2 – Review

Final Exam: Thursday, May 16 (9 am to 12 pm), covers Lectures 1-35

Practice Exam	Solutions	Comments
Study Guide		Updated
Laplace Table
Mock Final 1	Solutions	Ignore 5
Mock Final 2	Solutions	Ignore 5 and 7
Mock Final 3	Solutions	Ignore 5, 6, 7
Mock Final 4	Solutions	Fall 2022 Midterm, ignore 4
Mock Final 5	Solutions	Fall 2022 Final, ignore 8
Mock Final 6	Solutions	Spring 2023 Final, ignore 8
Mock Final 7	Solutions	Summer 2023 Final, ignore 2 and 3
Mock Final 8	Solutions	Fall 2023 Final
Midterm 1 – Review
Midterm 2 – Review
Final Exam – Review

Calendar