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# MATH 280 (Fall 2013): Applied Differential Equations

### Section and Class Number

Section 01 & 15302

Jing Li

### Contact information:

Office:  Live Oak Hall (LO), Room 1303C
Phone: 818-677-7799
E-mail: jing.li(at)csun(dot)edu

Office hours: Mondays & Wednesdays 11:00 am - 12:00 pm or by appointment (email)

### Final Exam

December 11, 2013, Wednesday 8:00 am - 10:00 am, Chaparral Hall Room 5117

### Midterm Exams

Midterm Exam 1: (date to be annouced) in class.
Midterm Exam 2: (date to be annouced) in class.
Midterm Exam 3: (date to be annouced) in class.

### Lecture times and locations

Mondays & Wednesdays 9:30 am - 10:45 am in CR (Chaparral Hall) 5117

### Course text

A First Course in Differential Equations with modeling Applications (10th edition) by Dennis G. Zill.

### Announcements

1. Midterm 1 will be in class on Wednesday (Oct 9, 2013).

2. Midterm 2 will be in class on Wednesday (Nov. 13, 2013). It is going to cover Chapter 3 (3.1) and Chapter 4 (4.1, 4.2, 4.3, 4.4, 4.6).

3. I will be holding extra office hours from 3pm - 5pm on Tuesday (Nov. 12, 2013).

### Course syllabus and tentative timetable

I will post all assigments, solutions and additional material in this space. You should therefore consult this spot frequently.

Course Syllabus

Week Date Topics covered Homework Homework due date Practice Problems Additional Material
1 Aug 26 & 28 General Introduction

Sec. 1.1: Definitions and Terminology

Exercises 1.1 (page 10): 5, 7, 13, 17, 21, 29, 31
(Exercises 1.1: due Sept 11) Exercises 1.1 (page 10): 3, 4, 6, 8, 9, 15, 16, 18, 19, 23, 30, 32, 33, 35

Intergral Review Problem Set
2 Sept 2 & 4 Labor Day Holdiay

Sec. 1.2: Initial-Value Problems

Sec. 2.2: Separable Equations

Exercises 1.2 (page 17): 10, 17, 21, 26, 30, 31, 32, 37;

Exercises 2.2 (page 51): 8, 12, 13, 24, 27, 46, 47
(Exercises 1.2 due Sept 11)

(Exercises 2.2 due Sept 18)
Exercises 1.2 (page 17):1, 3, 9, 18, 23, 25, 33, 34;

Ch1 in Review (page 33): 33, 34;

Exercises 2.2 (page 51):9, 11, 14, 17, 18, 22, 23, 25, 28, 48, 49;
3 Sept 9 & 11 Sec. 2.2 (cont'd): examples

Sec. 2.3: Linear Equations
Exercises 2.3 (page 61): 4, 13, 17, 19, 33, 35, 38

(Exercises 2.3 due Sept 18) Exercises 2.3 (page 61): 7-12, 14-16, 18, 20-24, 27-32, 34, 36, 37, 39, 40;

4 Sept 16 & 18 Sec. 2.4: Exact Equations

Quiz 1
Exercises 2.4 (page 69):4, 9, 11, 25, 27, 29, 31; (Exercises 2.4 due Oct 9)

Exercises 2.4 (page 69): 5-8, 10, 12-24, 26, 28, 30, 32-39; Solutions for Quiz 1
5 Sept 23 & 25 Sec. 2.5: Solutions by Substitutions

Fundamental Theorems
Exercises 2.5 (page 74): 7, 9, 11, 15, 19, 21, 23, 25, 29 (Exercises 2.5 due Oct 9)

Exercises 2.5 (page 74): 5, 8, 10, 12, 13, 16, 17, 18, 20, 22, 24, 26, 27, 28, 30;

6 Sept 30 & Oct 2 Sec. 2.1: Solution Curves Without a Solution

Sec. 2.6: A Numerical Method

Exercises 2.1 (page 43): 19, 21, 25, 29 (Hand-drawn sketch ok)

Exercises 2.6 (page 79):1, 2;
(Exercises 2.1 due Oct 9)

(Exercises 2.6 due Oct 9)
Exercises 2.1 (page 43): 20, 22, 23, 24, 26, 27, 28, 30; Lecture Notes for Sec. 2.1

Lecture Notes for Sec. 2.6
7 Oct 7 & 9 Sec. 3.1: Linear Models

Midterm 1
Exercises 3.1 (page 90): 3, 6, 7, 11, 13, 17, 23, 25, 29, 31 (Exercises 3.1 due Oct. 21) Exercises 3.1 (page 90):4, 5, 8, 9, 10, 14, 15, 21, 24, 27, 28, 30, 32, 34 Solutions for Midterm 1
8 Oct 14 & 16 Sec.4.1: Preliminary Theory --- Linear Equations Exercises 4.1 (page 127): 3, 5, 13, 15, 17, 21, 23, 25, 29, 31, 35;

(Exercises 4.1 due Oct. 28) Exercises 4.1 (page 127): 2, 4, 6, 7, 9, 10, 14, 16, 18-20, 22, 24, 26-28, 30, 33, 34
9 Oct 21 & 23 Sec.4.2: Reduction of Order

Quiz 2

Sec. 4.3: Homogeneous Linear Equations with Constant Coefficients

Exercises 4.2 (page 131): 6, 7, 9, 11, 13, 15;

Exercises 4.3 (page 137): 3, 5, 13, 19, 21, 23, 27, 29, 31, 35
(Exercises 4.2 due Oct 30)

(Exercises 4.3 due Nov. 4)
Exercises 4.2 (page 131): 3, 4, 5, 8, 10, 12, 14, 16;

Exercises 4.3 (page 137): 4, 6-11, 14-18, 20, 22, 24, 25, 26, 28, 30, 32-34, 36;
Solutions for Quiz 2
10 Oct 28 & 30 Sec. 4.3 cont'd

Sec. 4.4: Undetermined Coefficients
Exercises 4.4 (page 147): 7, 10, 15, 17, 19, 30; (Exercises 4.4 due Nov. 13) Exercises 4.4 (page 147): 6, 8, 10-14, 16, 18, 20, 27-29, 31-34;
11 Nov 4 & 6 Sec. 4.4 cont'd

Sec. 4.6: Variation of Parameters

Sec. 5.1: Linear Model: Initial-Value Problems
Exercises 4.6 (page 161): 3, 11, 13, 15, 21, 23; (Exercises 4.6 due Nov. 13)

Exercises 4.6 (page 161): 4-10, 12, 14, 16-20, 22, 24

12 Nov 11 & 13 Veterans' Day Holiday

Midterm 2
Solutions for Midterm 2
13 Nov 18 & 20 Sec. 5.1 cont'd

Sec. 6.1: Review of Power Series
Exercises 5.1 (page 205): 9, 11, 21, 23, 25, 29, 31, 33, 45, 49, 51, 53 (Exercises 5.1 due Nov. 25) Exercises 5.1 (page 205): 7, 10, 12, 17-20, 22, 24, 26, 30, 32, 34, 37-40, 46, 47, 50, 52, 54;
14 Nov 25 & 27 Sec. 6.1: cont'd

Sec. 6.2: Solutions About Ordinary Points
Exercises 6.1 (page 237): 5-17 odd 23-33 odd;

Exercises 6.2 (page 246): 1, 3, 9, 13, 15, 19, 21, 23;
(Exercises 6.1, 6.2 won't be collected) Exercises 6.1 (page 237): 6, 8, 10, 14, 16, 24, 26, 28, 30, 35, 37;

Exercises 6.2 (page 246): 5, 7, 11, 14, 16, 17, 18, 20;
Solutions for Quiz 3
15 Dec 2 & 4 Linear Algebra Topics

Sec. 8.1: Preliminary Theory --- Linear Systems

Sec. 8.2: Homogeneous Linear Systems
Exercises 8.1 (page 332): 3, 5, 7, 9, 11, 13, 17, 21;

Exercises 8.2 (page 346): 1, 3, 5, 7, 9, 11, 13
(Exercises 8.1 won't be collected)

(Exercises 8.2 won't be collected)
Exercises 8.1 (page 332): 1, 15, 19, 23, 25

Exercises For Appendix II (page APP-18): 1-17 odd, 23, 25, 27, 29, 31-39 odd, 47-55 odd;

Exercises 8.2 (page 346):2, 4, 6, 8, 10, 12, 14
Solutions for Quiz 4
16 Dec 9 Midterm 3 Solutions for Midterm 3
17 Final Exam on Dec 11