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Section 01 & 15845
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 8186777799
Email: jing.li(at)csun(dot)edu
Office hours: Mondays & Wednesdays 9:30am  10:30am or by
appointment (email)
May 14, 2014, Wednesday 10:15 am  12:15 pm, Live Oak Hall Room 1326
Midterm Exam 1: (date to be announed) in class.
Midterm Exam 2: (date to be annouced) in class.
Midterm Exam 3: (date to be annouced) in class.
Mondays & Wednesdays 11:00 am  12:15 pm in LO (Live Oak Hall) 1326
Elementary Differential Equations and Boundary Value Problems (10th edition), or the short version of Elementary Differential Equations by William E. Boyce and Richard C. DiPrima.
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  Jan 20 & 22 
Introduction
Sec. 1.1: Some Basic Mathematical Models; Direction Fields 
Exercises 1.1 (page 7): 7, 9, 15, 17, 19, 21, 23  (due Feb 5)  Exercises 1.1 (page
7): 8, 10, 16, 18, 20, 22, 24;

Page 1  Page 70 
2  Jan 27 & 29  Sec. 1.2: Solutions of Some Differential
Equations Sec. 1.3: Classification of Differential Equations 
Exercises 1.2 (page 15):
3, 7, 9, 13, 15,
17;
Exercises 1.3 (page 24): 1, 3, 5, 7, 11, 14, 17, 19 
(due Feb 5)  Exercises 1.2 (page
15): 4, 5, 6, 8, 10, 12, 14, 16, 19;
Exercises 1.3 (page 24): 2, 4, 6, 8, 10, 12, 13, 16, 18, 20, 29; 

3  Feb 3 & 5 
Sec. 2.1: Linear Equations; Method of Integrating Factors
Sec. 2.2: Separable Equations 
Exercises 2.1 (page 39):
13, 15, 17, 19,
31, 33;
Exercises 2.2 (page 48): 3, 5, 7, 9, 13(a)(c), 15(a)(c), 21(solve analytically), 25(solve analytically), 29, 30(a)(b)(c)(d)(e), 31(a)(b), 33(a)(b), 37(a)(b) 
(Exercises 2.1 due Feb 12)
(Exercises 2.2 due Feb 19) 
Exercises 2.1 (page
39): 14, 16, 18, 20, 30, 32, 38, 39, 41;
Exercises 2.2 (page 48): 226 (even), 23, 32(a)(b), 34(a)(b), 36(a)(b), 38(a)(b) 

4  Feb 10 & 12 
Sec. 2.3: Modeling with First Order Equations Sec. 2.4: Differences Between Linear and Nonlinear Equations 
Exercises 2.3 (page 60): 1, 4, 8, 16, 19, 24; Exercises 2.4 (page 76): 1, 3, 7, 9, 11, 15, 22, 28, 33; 
(Exercises
2.3 due Feb 19) (Exercises 2.4 due Feb 24) 
Exercises 2.3 (page
60): 2, 3, 5, 7, 9, 11, 32;
Exercises 2.4 (page 76): 2, 4, 5, 6, 8, 10, 12, 13, 21, 2326, 29; 

5  Feb 17 & 19  Sec. 2.4 cont'd
Sec. 2.5: Autonomous Equations and Population Dynamics 
Exercises 2.5 (page 88):
1, 3, 5, 7, 9,
11, 15, 16, 20, 22; 
(Exercises 2.5 due Mar 3 ) 
Exercises 2.5
(page 88): 2, 4, 6, 8, 10, 1214, 17, 21, 23, 24;

Quiz 1 Statistics
Solutions for Quiz 1 
6  Feb 24 & 26 
Sec. 2.5 cont'd
Sec. 2.6: Exact Equations and Integrating Factors 
Exercises 2.6
(page 101): 3,
5, 7, 9, 11, 13, 15, 25, 27, 29;

(Exercises 2.6 due Mar 5)  Exercises 2.6
(page 101): 212 (even), 16, 20, 26, 28, 30; 
Lecture Notes for Sec. 2.7 
7  Mar 3 & 5 
Sec. 2.7: Numerical Approximations: Euler's Method Midterm 1 
Exercises 2.7 (page 110): 1, 3;  (Exercises 2.7 due March 12) 
Exercises 2.7
(page 110): 2, 4; 
Midterm 1
Statistics
Solutions for Midterm 1 
8  Mar 10 & 12  Sec. 2.8: The Existence and Uniqueness Theorem Sec. 3.1: Homogeneous Equations with Constant Coefficient Sec. 3.2: Solutions of Linear Homogeneous Equations; the Wronskian 
Exercises 2.8
(page 120): 1,
3, 6, 13, 14, 15, 16, 17, 18, 19; Exercises 3.1 (page 144): 10, 11, 12, 15, 17, 19, 21, 23, 25, 27; Exercises 3.2 (page 155): 5, 6, 9, 11, 12, 14, 15, 17, 19, 22, 26, 31, 34; 
(Exercises 2.8 due March 24 )
(Exercises 3.1 due March 24) (Exercises 3.2 due April 2) 
Exercises 2.8
(page 120): 2, 4, 5; Miscellaneous Problems for Chapter 2 (page 133): 135; Exercises 3.1 (page 144): 17, 9, 13, 14, 16, 18, 20, 22, 24, 26, 28; Exercises 3.2 (page 155): 2, 3, 4, 7, 8, 10, 13, 16, 18, 20, 21, 23, 24, 25, 27, 28, 29, 30, 32, 33, 35; 
Lecture Notes for
Sec. 2.8
Lecture Notes for Sec. 3.1 
9  Mar 17 & 19 
Sec. 3.3: Complex Roots of the Characteristic Equations
Sec. 3.4: Repeated Roots; Reduction of Order 
Reading of Sec. 4.1
Exercises 3.3 (page 164): 5, 8, 9, 12, 13, 18, 19, 20, 25, 34, 39, 40; Exercises 3.4 (page 172): 2, 4, 6, 8, 9, 11, 14, 15, 23, 27, 28; 
(Exercises
3.3 due April 2)
(Exercises 3.4 due April 2) 
Exercises 3.3
(page 164): 14, 6, 7, 10, 11, 1416, 17, 2124, 3538, 41, 42; Exercises 3.4 (page 172): 12, 13, 16, 17, 18, 2426, 29, 30, 4045; 

10  Mar 24 & 26 
Sec. 3.5: Nonhomogeneous Equations; Method of
Undetermined Coefficients
Sec. 3.6: Variation of Parameters 
Exercises 3.5
(page 184): 1,
2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 17, 19, 20, 26; Exercises 3.6 (page 190): 3, 5, 7, 8, 9, 11, 13, 15, 17, 31; 
(Exercises
3.5 due April 2)
(Exercises 3.6 due April 2) 
Exercises 3.5
(page 184): 9, 11, 13, 15, 18, 22, 23, 29, 30, 31, 32, 36; Exercises 3.6 (page 190): 4, 6, 10, 12, 16, 18, 19, 20, 21, 28, 29, 30, 32; 
Notes for
Sec. 3.6

11  Mar 31 & April 2 
Cesar Chavez Holiday
Sec. 4.1: General Theory of nth Order Linear Equations Sec. 4.2: Homogeneous Equations with Constant Coefficients Sec. 4.3: The Method of Undetermined Coefficients Sec. 4.4: The Method of Variation of Parameters 
Exercises 4.1
(page 226): 3,
5, 7, 8, 13; Exercises 4.2 (page 233): 2, 5, 9, 11, 13, 15, 16, 19, 20; Exercises 4.3 (page 239): 1, 4, 5, 6, 9, 11, 13, 15, 17; Exercises 4.4 (page 244): 1, 2, 3, 9; 
(Exercises
4.1 due April 16)
(Exercises 4.2 due April 16 ) (Exercises 4.3 due April 16) (Exercises 4.4 due April 16 ) 
Exercises 4.1
(page 226): 2, 4, 6, 9, 10, 15, 16, 27, 28; Exercises 4.2 (page 233): 1, 3, 4, 6, 10, 12, 14, 17, 18, 2124; Exercises 4.3 (page 239): 3, 8, 10, 14, 16, 18; Exercises 4.4 (page 244): 4, 5, 7, 11, 13; 
Lecture Notes for
Sec. 4.1 & 4.2
Notes for Sec. 4.4 
12  April 7 & 9  Spring Recess; No Instruction

Quiz 2 Statistics
Solutions for Quiz 2 

13  April 14 & 16 
Sec. 7.1: Introduction
Sec. 7.2: Review of Matrices Sec. 7.3: Systems of Linear Algebraic Equations: Linear Independence, Eigenvalues, Eigenvectors Midterm 2 
Exercises 7.1
(page 363): 2,
3, 4, 5, 7, 9, 11, 15, 16;
Exercises 7.2 (page 376): 2, 8, 9, 11, 13, 15, 17, 21, 23, 25; Exercises 7.3 (page 388): 2, 3, 4, 5, 7, 11, 13, 16, 17, 22, 23, 25; 
(Exercises
7.1 due April 23)
(Exercises 7.2 due April 23) (Exercises 7.3 due April 30) 
Exercises 7.1
(page 363): 1, 6, 8, 10, 12, 14;
Exercises 7.2 (page 376): 1, 3, 4, 5, 6, 7, 10, 12, 14, 16, 18, 19, 20, 22, 24, 26; Exercises 7.3 (page 388): 6, 8, 9, 10, 14, 18, 19, 20, 21, 24; 
Lecture Notes for Sec. 7.1 Lecture Notes for Sec. 7.2 Lecture Notes for Sec. 7.3 Midterm 2 Statistics Solutions for Midterm 2 
14  April 21 & 23 
Sec. 7.4: Basic
Theory of Systems of First Order Linear
Equations Sec. 7.5: Homogeneous Linear Systems with Constant Coefficients Sec. 7.6: Complex Eigenvalues Sec. 7.7: Fundamental Matrices Sec. 7.8: Repeated Eigenvalues 
Exercises 7.4
(page 394): 2, 4,
5, 6;
Exercises 7.5 (page 405): 2, 3, 6, 7, 9, 10, 11, 13, 16, 17, 25, 27; Exercises 7.6 (page 417): 4, 5, 6, 7, 9, 19; Exercises 7.7 (page 427): 1, 3, 5, 7, 9, 11; Exercises 7.8 (page 436): 2, 3, 4, 5, 7, 9; 
(Exercises
7.4 due April 30)
(Exercises 7.5 due April 30) (Exercises 7.6 due April 30) 
Exercises 7.4 (page 394): 1, 3, 7; Exercises 7.5 (page 405): 1, 4, 5, 8, 12, 14, 15, 1824, 26, 28, 29, 30; Exercises 7.6 (page 417): 1, 2, 3, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20; Exercises 7.7 (page 427): 2, 4, 6, 8, 10, 12, 17; Exercises 7.8 (page 436): 1, 6, 8, 10, 11, 12, 15; 
Lecture Notes for Sec. 7.4
Lecture Notes for Sec. 7.5 Lecture Notes for Sec. 7.6 Lecture Notes for Sec. 7.7 
15  April 28 & 30 
Sec. 9.1: The Phase Plane: Linear Systems
Sec. 9.2: Autonomous Systems and Stability Sec. 9.3: Locally Linear Systems Sec. 9.4: Competing Species Sec. 9.5: PredatorPrey Equations 
Exercises 9.1
(page 505): 1,
2, 4, 5, 6, 8, 9, 11, 13, 15, 19;
Exercises 9.2 (page 517): 1, 2, 3, 4, 17, 19, 21; Exercises 9.3 (page 527): 1, 3, 5, 6, 7, 12, 15, 16, 19, 21, 26, 27, 28; Exercises 9.4 (page 541): 1, 3, 5, 8, 9, 10; Exercises 9.5 (page 551): 15, 9; 
Exercises 9.1
(page 505): 3, 7, 10, 12, 14, 16, 17, 18, 20, 21, 22;
Exercises 9.2 (page 517): 516, 18, 20, 22, 23, 24, 25, 26, 27, 28; Exercises 9.3 (page 527): 2, 4, 8, 9, 10, 11, 13, 14, 17, 18, 20, 23, 24, 25, 30; Exercises 9.4 (page 541): 2, 4, 6, 11, 12, 1319; Exercises 9.5 (page 551): 6, 7, 8, 11, 12, 13, 14, 15, 16; 
Quiz 3 Statistics
Solutions for Quiz 3 

16  May 5 & 7  Midterm 3  Solutions for Midterm 3  
17  Final Exam Week 