Spring 2018: Math 307G, Introduction to Differential Equations 

Instructor: Yizhe Zhu

Lectures: MWF 2:30-3:20 pm in BNS 117.

Office hours: M 9:30-10:30 am W 3:30-4:30 pm. Padelford C-8L.

Syllabus: Course Syllabus 

Grading:  Homework 10%, 

                 Midterm 1 25%, 

                 Midterm 2 25%, 

                 Final 40%.

 

Exam: Midterm 1 Friday, 4/20, in class.

            Midterm 2 Monday, 5/14, in class.

            Final Exam, Tuesday, 6/5 2:30-4:20 pm, BNS 117.


Homework:

We will use WebAssign. UW link to go to WebAssign with UW ID.

Buy your WebAssign for MATH 307 here.

 

HW1 is due April 3.

 

Announcement:

1. You can find general information in the department 307 website.

2.You can find useful materials in MATH 307 Spring 2016 Website, Dr. Loveless, most of the handouts I put on this website are from Dr. Loveless.


Old Exams:

1. From Department 307 Website Midterm 1, Midterm 2, Final

2. From Dr. Loveless 307 Website Old Exam Archive
3. Summer 2017 Term B Website 

 

Course Calendar (Tentative Schedule)

Date

Content

3/26

First day of class.  1.3 Classification of Differential Equations, 1.1 Some Basic Mathematical Model.

Integration Review, Chapter 1 Overview , Lecture1

3/28

1.1 Some Basic Modeling 

Lecture 2

3/30

1.2 Solutions of Differential Equations

Lecture 3

4/2

1.1 Direction Fields

Lecture 4, Direction Fields Examples

4/4

2.2 Separable First Order ODE’s

Lecture 5

4/6

2.7 Euler’s Method

Lecture 6

4/9

2.1 Linear First Order ODE’s

Lecture 7

4/11

2.2 Modeling with First Order ODE’s

Lecture 8

4/13

2.2 Modeling with First Order ODE’s, Uniqueness and Existence (optional)

Lecture 9

4/16

2.5 Autonomous Equations 

Lecture 10

4/18

Review, Midterm 1 Review from Dr. Loveless

4/20

Midterm 1 Midterm 1 Solution

4/23

3.1 Homogeneous Equations with Distinct Real Roots

Lecture 11

Complex Number Review

4/25

3.2 Homogeneous Equations with Complex Roots

Lecture 12 

4/27

3.3 Repeated Roots and Reduction of Order

Lecture 13 

4/30

3.7 Free Vibration (Modeling)

Lecture 14

5/2

3.7 Free Vibration with Damping

Lecture 15

5/4

3.5 Undetermined Coefficients 

Undetermined Coefficients from Dr. Loveless

Lecture 16

5/7

3.8 Forced Vibration

Lecture 17

5/9

3.8 Forced Vibration 

Application 

5/11

Review

5/14

Midterm 2 Midterm 2 Solution

5/16

6.1 Definition of the Laplace Transform  

Definition of Laplace Transform 

5/18

6.2 Solving with Laplace Transform

Solving with Laplace Transform

5/21

6.3 Step Functions

Lecture Notes 

Step Functions

5/23

6.3 Step Functions

Lecture Notes 

5/25

6.4 Step functions and time delay

Lecture Notes 

Laplace Transform Practice 

5/30

6.5 Impulse Response and Convolution

Lecture Notes

6/1

Review

Lecture Notes and Final Review

Laplace Transform Fact Sheet

Old Exam Archive

Summer 2015 (Ramadas)

6/5

Final Exam