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Section 01 & 15328
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 818-677-7799
E-mail: 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): 2-26 (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, 23-26, 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, 12-14, 17, 21, 23, 24;
Exercises 2.6 (page 101): 2-12 (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): 1-35; |
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): 1-7, 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): 1-4, 6, 7, 10, 11, 14-16, 17, 21-24, 35-38, 41, 42; Exercises 3.4 (page 172): 12, 13, 16, 17, 18, 24-26, 29, 30, 40-45; |
|
| 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, 21-24; 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, 18-24, 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: Predator-Prey 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): 1-5, 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): 5-16, 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, 13-19; 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 |