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MATH 280 (Fall 2014): Applied Differential Equations

Section and Class Number

Section 11 & 16984

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: Tuesdays & Thursdays 3:30 pm - 4:30 pm or by appointment (email)

Final Exam

December 11, 2014, Thursday 3:00 pm - 5:00 pm, Chaparral Hall Room 5119

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

Tuesdays & Thursdays 2:00 pm - 3:15 pm in CR (Chaparral Hall) 5119

Course text

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

Announcements

1. Course syllabus are hand out, and Quiz 1 will be in class on Thursday (August 28, 2014). The content will be on integration.
2. Quiz 2 will be in class on Thursday (September 18, 2014).
3. The first midterm will be in class on Tuesday (Oct. 7, 2014).

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 Sec. 1.1: Definitions and Terminology

Sec. 1.2: Initial-Value Problems

Quiz 1
Exercises 1.1 (page 10): 5, 7, 13, 17, 21, 29, 31

Exercises 1.2 (page 17): 10, 17, 21, 26, 30, 31, 32, 37;
(Exercises 1.1: due Sept 4)

(Exercises 1.2 due Sept 11)
Exercises 1.1 (page 10): 3, 4, 6, 8, 9, 15, 16, 18, 19, 23, 30, 32, 33, 35

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

Ch1 in Review (page 33): 33, 34;
Integral Review Problem Set

Solutions for Quiz 1

Statistics for Quiz 1
2 Sept 2 & 4 Sec. 1.3: Differential Equations as Mathematical Models

Sec. 2.2: Separable Equations

Sec. 2.3: Linear Equations
Exercises 1.3 (page 28): 1, 3, 5, 7, 9, 11

Exercises 2.2 (page 51): 8, 12, 13, 24, 27, 46, 47

Exercises 2.3 (page 61): 4, 13, 17, 19, 33, 35, 38
(Exercises 1.3 due Sept 11)

(Exercises 2.2 due Sept 11)

(Exercises 2.3 due Sept 18)
Exercises 1.3 (page 28):2, 4, 6, 8, 10, 12;

Exercises 2.2 (page 51):9, 11, 14, 17, 18, 22, 23, 25, 28, 48, 49;

Exercises 2.3 (page 61): 7-12, 14-16, 18, 20-24, 27-32, 34, 36, 37, 39, 40;
3 Sept 9 & 11 Sec. 2.4: Exact Equations

Sec. 2.5: Solutions by Substitutions
Exercises 2.4 (page 69):4, 9, 11, 25, 27, 29, 31;

Exercises 2.5 (page 74): 7, 9, 11, 15, 19, 21, 23, 25, 29
(Exercises 2.4 due Sept 25)

(Exercises 2.5 due Sept 30)
Exercises 2.4 (page 69): 5-8, 10, 12-24, 26, 28, 30, 32-39;

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

Sec. 2.1: Solution Curves Without a Solution

Quiz 2
Exercises 2.1 (page 43): 19, 21, 25, 29 (Hand-drawn sketch ok) (Exercises 2.1 due Oct 2nd) Exercises 2.1 (page 43): 20, 22, 23, 24, 26, 27, 28, 30; Lecture Notes for Sec. 2.1

Solutions for Quiz 2

Statistics for Quiz 2
5 Sept 23 & 25 Sec. 2.1.2: Autonomous First-Order DEs

Sec. 2.6: A Numerical Method
Exercises 2.6 (page 79):1, 2; (Exercises 2.6 due Oct 2nd) Lecture Notes for Sec. 2.6
6 Sept 30 & Oct. 2 Sec. 3.1: Linear Models

Sec. 3.2: Nonlinear Models
Exercises 3.1 (page 90): 3, 6, 7, 11, 13, 17, 23, 25, 29, 31

Exercises 3.2 (page 100): 1, 2, 3, 5, 7;
(Exercises 3.1 due Oct 7; Problems 29 and 31 will be due on Oct 16)

(Exercises 3.2 due Oct 16)
Exercises 3.1 (page 90):4, 5, 8, 9, 10, 14, 15, 21, 24, 27, 28, 30, 32, 34

Exercises 3.2 (page 100): 4, 6, 8;
7 Oct 7 & Oct 9 Midterm 1

Sec. 3.3: Modeling with Systems of First-Order DEs

Sec.4.1: Preliminary Theory --- Linear Equations

Exercises 3.3 (Page 110):1, 4, 5, 7;

Exercises 4.1 (page 127): 3, 5, 13, 15, 17, 21, 23, 25, 29, 31, 35;
(Exercises 3.3 due Oct 16)

(Exercises 4.1 due Oct 23)
Exercises 3.3 (Page 110):2, 3, 6, 8;

Chapter 3 in Review (Page 113):1, 2, 3, 4, 5, 7, 9, 11, 12, 15;

Exercises 4.1 (page 127): 2, 4, 6, 7, 9, 10, 14, 16, 18-20, 22, 24, 26-28, 30, 33, 34;
Solutions for Midterm 1

Statistics for Midterm 1
8 Oct 14 & 16 Sec. 4.1 cont'd

Sec.4.2: Reduction of Order

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

(Exercises 4.2 due Oct. 30) Exercises 4.2 (page 131): 3, 4, 5, 8, 10, 12, 14, 16;
9 Oct 21 & 23 Sec. 4.3: Homogeneous Linear Equations with Constant Coefficients

Sec. 4.4: Undetermined Coefficients
Exercises 4.3 (page 137): 3, 5, 13, 19, 21, 23, 27, 29, 31, 35

Exercises 4.4 (page 147): 7, 10, 15, 17, 19, 30;

(Exercises 4.3 due Oct. 30)

(Exercises 4.4 due Nov 4)

Exercises 4.3 (page 137): 4, 6-11, 14-18, 20, 22, 24, 25, 26, 28, 30, 32-34, 36;

Exercises 4.4 (page 147): 6, 8, 10-14, 16, 18, 20, 27-29, 31-34;
10 Oct 28 & 30 Sec. 4.6: Variation of Parameters

Sec. 5.1: Linear Model: Initial-Value Problems

Sec. 5.1: 5.1.3 & 5.1.4
Exercises 4.6 (page 161): 3, 11, 13, 15, 21, 23;

Exercises 5.1 (page 205): 9, 11, 21, 23, 25, 29, 31, 33, 45, 49, 51, 53
(Exercises 4.6 due Nov. 4, extended due Nov. 6)

(Exercises 5.1 due Nov 20)

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

Exercises 5.1 (page 205): 7, 10, 12, 17-20, 22, 24, 26, 30, 32, 34, 37-40, 46, 47, 50, 52, 54;
Solutions for Midterm 2

Statistics for Midterm 2
11 Nov 4 & 6 Sec. 6.1: Review of Power Series

Midterm 2
Exercises 6.1 (page 237): 5-17 odd 23-33 odd; (Exercises 6.1 due Nov 25)

(Exercises 6.2 due Dec 2)
Exercises 6.1 (page 237): 6, 8, 10, 14, 16, 24, 26, 28, 30, 35, 37;
12 Nov 11 & 13 Veterans' Day Holiday, no Class on Tuesday

Sec. 6.2: Solutions About Ordinary Points
Exercises 6.2 (page 246): 1, 3, 9, 13, 15, 19, 21, 23; (Exercises 6.2 due Dec 2) Exercises 6.2 (page 246): 5, 7, 11, 14, 16, 17, 18, 20;
13 Nov 18 & 20 Linear Algebra Topics

Exercises For Appendix II (page APP-18): 1-17 odd, 23, 25, 27, 29, 31-39 odd, 47-55 odd;
14 Nov 25 & 27 Sec. 8.1: Preliminary Theory --- Linear Systems

Thanksgiving Recess, no Class on Thursday
Exercises 8.1 (page 332): 3, 5, 7, 9, 11, 13, 17, 21; (Exercises 8.1 due TBA) Exercises 8.1 (page 332): 1, 15, 19, 23, 25;
15 Dec 2 & 4

Sec. 8.2: Homogeneous Linear Systems

Review
Exercises 8.2 (page 346): 1, 3, 5, 7, 9, 11, 13 (Exercises 8.2 due TBA) Exercises 8.2 (page 346):2, 4, 6, 8, 10, 12, 14 Solutions for Midterm 3
16 Dec 9 & 11 Midterm 3

Final Exam on Dec 11