### Summer 2017 Term B: Math 307F, Introduction to Differential Equations

Instructor: Yizhe Zhu

Lectures: MWF 10:50 am - 1:00 pm in SMI 313.

Office hours: MW 9:30-10:30 am. Padelford C-8L.

Midterm: Friday, August 4, 10:50 am to 1:00 pm in SMI 313.

Final: Friday, August 18, 10:50 am to 1:00 pm in SMI 313.

Syllabus: Course Syllabus

Grading:  Homework 10%, Midterm 45%, Final 45%.

Homework:

Homework 1, due Friday, July 28. You will get 20% bonus points for writing homework in LaTeX.

Here is an introduction of LaTeX: learning LaTeX in 30 minutes

, due Wednesday, August 2.

Homework 3, due Wednesday, August 9.

Homework 4, due Wednesday, August 16.

Announcement:

Extra Office Hour: Thursday 3-5 pm, August 3. Padelford C-8L.

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

#### Course Calendar

 Date Content 7/21 First Day of Class. Introduction + 2.2 Separable Equations. Integration Review  (Credits to Andy Loveless) 7/24 2.1 Integration Factors + 2.3 Modeling with First Order Equations 7/26 2.3 More Applications + 2.4 Existence and Uniqueness Theorems about Existence and Uniqueness More Application Examples 7/28 2.5 Autonomous Equations + 2.7 Numerical Approximations 7/31 3.1 Homogeneous Equations with Constant Coefficients + 3.3 Complex Roots of the Characteristic Equation 8/2 3.4 Repeated Roots; Reduction of Order + Midterm Review 8/4 Midterm.  Exam  Solutions Old Exam Archive Summer 2015 (Ramadas) 8/7 3.5 Non-homogeneous Equations; Methods of Undetermined Coefficients Summary of Second Order Solving Methods 8/9 3.7 Free Vibrations + 3.8 Forced Vibrations Vibrations Handout 8/11 6.1 Definition of the Laplace Transform + 6.2 Solving with Laplace Transform Definition of Laplace Transform  Solving with Laplace Transform 8/14 6.2 Solving with Laplace Transform + 6.3 Step Functions  Step Functions 8/16 6.4 ODEs with Discontinuous Forcing Functions + Final Review Lecture Notes and Final Review Laplace Transform Fact Sheet 8/18 Final Exam Exam Solutions Laplace Transform Practice  Old Exam Archive Summer 2015 (Ramadas)