Home  Research  Teaching  Resume  Links  Contact 
Section 01 & 15328
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 8186777799
Email: jing.li(at)csun(dot)edu
Office hours: Mondays & Wednesdays 3:30 pm  4:30 pm or by
appointment (email)
December 16, 2013, Wednesday 3:00 pm  5:00 pm, Chaparral Hall Room 5117
Midterm Exam 1: Wednesday (Oct. 2, 2013).
Midterm Exam 2: (date to be annouced) in class.
Midterm Exam 3: (date to be annouced) in class.
Mondays & Wednesdays 2:00 pm  3:15 pm in CR (Chaparral Hall) 5117
Elementary Differential Equations and Boundary Value Problems (10th edition), 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  Aug 26 & 28  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 11)  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  Sept 2 & 4  Labor Day Holdiay 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 Sept 11) (Exercises 2.2 due Sept 18) 
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 9 & 11  Sec. 2.2 (cont'd): Examples 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 18) (Exercises 2.4 due Sept 18) 
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 16 & 18  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 Oct 2) (Exercises 2.6 due Oct 2) 
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 
5  Sept 23 & 25  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 2) (Exercises 2.8 due Oct 9) 
Exercises 2.7 (page 110): 2, 4; Exercises 2.8 (page 120): 2, 4, 5; Miscellaneous Problems for Chapter 2 (page 133): 135; 
Lecture Notes for Sec. 2.7 
6  Sept 30 & Oct 2  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 16)  Exercises 3.1 (page 144): 17, 9, 13, 14, 16, 18, 20, 22, 24, 26, 28;  Solutions for Midterm 1 
7  Oct 7 & 9  Sec. 3.1 cont'd 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. 21) 
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 14 & 16  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 Oct. 21)
(Exercises 3.4 due Oct. 28) 
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 21 & 23  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 Oct. 30)
(Exercises 3.6 due Nov. 4) 
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 28 & 30  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. 4)
(Exercises 4.2 due Nov. 4 ) (Exercises 5.1 due Nov. 13 ) 
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; 
Lecture Notes for
Sec. 4.1 & 4.2
Solutions for Quiz 2 
11  Nov 4 & 6 
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 Sec. 7.2: Review of Matrices 
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 7.2 (page 376): 2, 8, 9, 11, 13, 15, 17, 21, 23, 25; 
(Exercises
5.2 due Nov. 13)
(Exercises 5.3 due Nov. 13) (Exercises 7.1 due Nov. 25) (Exercises 7.2 due Nov. 25) 
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; Exercises 7.2 (page 376): 1, 3, 4, 5, 6, 7, 10, 12, 14, 16, 18, 19, 20, 22, 24, 26; 
Lecture Notes for
Sec. 7.1
Lecture Notes for Sec. 7.2 
12  Nov 11 & 13  Veterans' Day Holiday
Midterm 2 
Solutions for Midterm 2  
13  Nov 18 & 20  Sec. 7.3: Systems of Linear Algebraic Equations: Linear
Independence, Eigenvalues, Eigenvectors 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 
Exercises 7.3
(page 388): 2,
3, 4, 5, 7, 11, 13, 16, 17, 22, 23, 25;
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
7.3 due Nov. 25)
(Exercises 7.4 due Nov. 27) (Exercises 7.5 due Dec. 2) 
Exercises 7.3 (page 388): 6, 8, 9, 10, 14, 18, 19, 20, 21, 24; 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; 

14  Nov 25 & 27  Sec. 7.6: cont'd Sec. 7.7: Fundamental Matrices Sec. 7.8: Repeated Eigenvalues 
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
7.6 due Dec. 4)
(Exercises 7.7 due Dec. 4) (Exercises 7.8 won't be collected) 
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; 
Solutions for Quiz 3 
15  Dec 2 & 4 
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 won't be collected)
(Exercises 9.2 won't be collected) (Exercises 9.3 won't be collected) (Exercises 9.4 won't be collected) (Exercises 9.5 won't be collected) 
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; 
Solutions for Quiz 4 
16  Dec 9  Midterm 3  Solutions for Midterm 3  
17  Final Exam Week 