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Section 01 & 16147
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 8186777799
Email: jing.li(at)csun(dot)edu
Office hours: Mondays & Wednesdays 1:00 pm  2:00 pm or by
appointment (email)
December 9, 2015, Wednesday 10:15 am  12:15 pm, Chaparral Hall Room 5117
Midterm Exam 1: (date to be announced) in class.
Midterm Exam 2: (date to be announced) in class.
Midterm Exam 3: (date to be announced) in class.
Mondays & Wednesdays 11:00 am  12:15 pm in CR (Chaparral Hall) 5117
Elementary Differential Equations (10th edition) or Elementary Differential Equations and Boundary Value Problems, 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 (Please read it very carefully!!!)
Week  Date  Topics covered  Homework  Homework due date  Practice Problems  Additional Material 

1  Aug 24 & 26  Sec. 1.1: Some Basic Mathematical Models; Direction Fields
Sec. 1.2: Solutions of Some Differential Equations Sec. 1.3: Classification of Differential Equations 
Exercises 1.1 (page
7): 7, 9, 15,
17, 19, 21, 23
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 Sept 2nd 
Exercises 1.1 (page
7): 8, 10, 16, 18, 20, 22, 24;
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 

2  Aug 31 & Sept 2 
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) 
due Sept 9

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) 

3  Sept 7 & 9  Labor Day Holiday 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 Sept 16) (Exercises 2.4 due Sept 28) 
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; 

4  Sept 14 & 16  Sec. 2.5: Autonomous Equations and Population Dynamics
Sec. 2.6: Exact Equations and Integrating Factors 
Exercises 2.5 (page 88):
1, 3, 5, 7, 9,
11, 15, 16, 20, 22; Exercises 2.6 (page 101): 3, 5, 7, 9, 11, 13, 15, 25, 27, 29; 
(Exercises
2.5 due Sept 30) (Exercises 2.6 due Oct 7) 
Exercises 2.5
(page 88): 2, 4, 6, 8, 10, 1214, 17, 21, 23, 24;
Exercises 2.6 (page 101): 212 (even), 16, 20, 26, 28, 30; 
Solutions for Quiz 1
Statistics for Quiz 1 
5  Sept 21 & 23  Sec. 2.7: Numerical Approximations: Euler's Method Sec. 2.8: The Existence and Uniqueness Theorem 
Exercises 2.7
(page 110): 1, 3; Exercises 2.8 (page 120): 1, 3, 6, 13, 14, 15, 16, 17, 18, 19; 
(Exercises
2.7 due Oct 14) (Exercises 2.8 due Oct 21) 
Exercises 2.7
(page 110): 2, 4; Exercises 2.8 (page 120): 2, 4, 5; Miscellaneous Problems for Chapter 2 (page 133): 135; 

6  Sept 28 & 30  Sec. 3.1: Homogeneous Equations with Constant Coefficient
Midterm 1 
Exercises 3.1 (page 144): 10, 11, 12, 15, 17, 19, 21, 23, 25, 27;  (Exercises
3.1 due Oct 26) 
Exercises 3.1 (page 144): 17, 9, 13, 14, 16, 18, 20, 22, 24, 26, 28;  Solutions for Midterm 1 Statistics for Midterm 1 
7  Oct 5 & 7  Sec. 3.2: Solutions of Linear Homogeneous Equations; the Wronskian  Exercises 3.2 (page 155): 5, 6, 9, 11, 12, 14, 15, 17, 19, 22, 26, 31, 34;  (Exercises 3.2 due Oct. 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  
8  Oct 12 & 14  Sec. 3.3: Complex Roots of the Characteristic Equations Sec. 3.4: Repeated Roots; Reduction of Order 
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 Oct. 28)
(Exercises 3.4 due Nov. 2nd, extended due Nov. 4) 
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; 

9  Oct 19 & 21  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 Nov. 2nd, extended due Nov. 4)
(Exercises 3.6 due Nov. 9) 
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; 

10  Oct 26 & 28  Sec. 4.1: General Theory of nth Order Linear Equations
Sec. 4.2: Homogeneous Equations with Constant Coefficients Sec. 5.1: Review of Power Series 
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 5.1 (page 253): 2, 3, 5, 6, 7, 8, 12, 13, 15, 17, 21, 22, 23, 24, 27; 
(Exercises
4.1 due Nov. 9)
(Exercises 4.2 due Nov. 9) (Exercises 5.1 due Nov. 9) 
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 5.1 (page 253): 1, 4, 9, 10, 11, 14, 16, 18, 19, 20, 25, 26, 28; 
Solutions for Quiz 2 Statistics for Quiz 2 
11  Nov 2 & 4 
Sec. 5.2: Series Solutions Near an Ordinary Point, Part I
Sec. 5.3: Series Solutions Near an Ordinary Point, Part II Sec. 7.1: Introduction 
Exercises 5.2
(page 263): 4,
7, 8, 9, 10, 11, 12, 19, 21;
Exercises 5.3 (page 269): 2, 3, 6, 7, 10, 12, 13, 16, 19, 22, 23; Exercises 7.1 (page 363): 2, 3, 4, 5, 7, 9, 11, 15, 16; 
(Exercises
5.2 due Nov. 23)
(Exercises 5.3 due Nov. 23) (Exercises 7.1 due Nov. 23) 
Exercises 5.2 (page 263): 5, 6, 13, 14, 20, 22; Exercises 5.3 (page 269): 1, 4, 5, 8, 9, 11, 14, 17, 18, 20, 21; Exercises 7.1 (page 363): 1, 6, 8, 10, 12, 14; 

12  Nov 9 & 11 
Midterm 2
Veterans' Day Holiday 
Solutions for Midterm 2 Statistics for Midterm 2 

13  Nov 16 & 18 
Sec. 7.2: Review of Matrices
Sec. 7.3: Systems of Linear Algebraic Equations: Linear Independence, Eigenvalues, Eigenvectors 
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
7.2 due Nov. 23)
(Exercises 7.3 due Nov. 25) 
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; 

14  Nov 23 & 25 
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 
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
7.4 due Nov. 30)
(Exercises 7.5 due Nov. 30) (Exercises 7.6 due Dec. 2nd) (Exercises 7.7 won't be collected) 
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; 
Solutions for Quiz 3 
15  Nov 30 & Dec 2 
Sec. 7.8: Repeated Eigenvalues Sec. 9.1: The Phase Plane: Linear Systems Sec. 9.2: Autonomous Systems and Stability Sec. 9.3: Locally Linear Systems 
Exercises 7.8
(page 436): 2,
3, 4, 5, 7, 9;
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 7.8 won't be collected) (Exercises 9.1 won't be collected) (Exercises 9.2 won't be collected) (Exercises 9.3 won't be collected) 
Exercises 7.8
(page 436): 1, 6, 8, 10, 11, 12, 15;
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; 

16  Dec 7 
Sec. 9.4: Competing Species Sec. 9.5: PredatorPrey Equations Midterm 3 
Exercises 9.4 (page 541): 1, 3, 5, 8, 9, 10; Exercises 9.5 (page 551): 15, 9; 
(Exercises
9.4 won't be collected)
(Exercises 9.5 won't be collected) 
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; 

17  Final Exam Week  Final Exam on Dec 9 on Classroom CH 5117 