MATH 351 (Fall 2017): Differential Equations

Section and Class Number

Section 01 & 16794

Instructor

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: Mondays & Wednesdays 11:00 am - 12:00 pm or by appointment (email)

Final Exam

December 13, 2017, Wednesday 8:00 am - 10:00 am, Live Oak Hall Room 1317

Midterm Exams

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.

Lecture times and locations

Mondays & Wednesdays 09:30 am - 10:45 am in LO (Live Oak Hall) 1317

Course text

Elementary Differential Equations (11th edition) or Elementary Differential Equations and Boundary Value Problems (11th edition), by William E. Boyce and Richard C. DiPrima, 2017.

Announcements

Homework assignments and course lecture notes will be posted through CSUN Canvus . Please visit the canvas course webpage frequently.

A list of practice problems is posted on this webpage. Please use these for extra practice.

Course syllabus and tentative timetable

Course Syllabus (Please read it very carefully!!!)

Week	Date	Topics covered	Homework	Homework due date	Practice Problems
1	Aug 28 & 30	Sec. 1.1: Some Basic Mathematical Models; Direction Fields Sec. 1.2: Solutions of Some Differential Equations Sec. 1.3: Classification of Differential Equations	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 1.1 (page 8):6, 8, 11, 12, 14, 16, 19; Exercises 1.2 (page 15): 3a, 10, 11, 12; Exercises 1.3 (page 22): 3, 4,15, 16, 18.
2	Sept 04 & 06	Labor Day Holiday Sec. 2.1: Linear Equations; Method of Integrating Factors	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 2.1 (page 31): 2c, 3c, 6c, 7c, 10c, 11c, 19, 20, 21;
3	Sept 11 & 13	Sec. 2.2: Separable Differential Equations Sec. 2.3: Modeling with First Order Equations Sec. 2.4: Differences Between Linear and Nonlinear Equations	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 2.2 (page 38): 3, 4, 5, 6, 13, 15, 17, 20, 21, 30; Exercises 2.3 (page 47): 1, 2, 4, 9, 12, 20; Exercises 2.4 (page 57): 2, 4, 7, 12, 18, 24, 25, 27;
4	Sept 18 & 20	Sec. 2.5: Autonomous Equations and Population Dynamics Sec. 2.6: Exact Equations and Integrating Factors	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 2.5 (page 67): 2, 4, 5, 6, 7, 8, 9, 14, 15, 17; Exercises 2.6 (page 75): 2, 4, 6, 8, 10, 11, 19, 20, 21;
5	Sept 25 & 27	Sec. 2.7: Numerical Approximations: Euler's Method Midterm 1	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 2.7 (page 83): 2, 3, 9, 10, 12;
6	Oct 02 & 04	Sec. 2.8: The Existence and Uniqueness Theorem Sec. 3.1: Homogeneous Equations with Constant Coefficient	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 2.8 (page 90): 2, 7, 9a, 10a, 11, 14, 15, 16, 17, 18; Review Problems for Chapter 2 (page 100): 1-24; Exercises 3.1 (page 109): 1, 3, 4, 6, 7, 9, 10, 11, 15, 16, 18;
7	Oct 09 & 11	Sec. 3.2: Solutions of Linear Homogeneous Equations; the Wronskian Sec. 3.3: Complex Roots of the Characteristic Equations	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 3.2 (page 119): 2, 3, 8, 9, 14, 15, 18, 20, 21, 24, 25; Exercises 3.3 (page 125): 4, 5, 9, 10, 11, 15, 26, 28, 30;
8	Oct 16 & 18	Sec. 3.4: Repeated Roots; Reduction of Order Sec. 3.5: Nonhomogeneous Equations; Method of Undetermined Coefficients	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 3.4 (page 132): 4-6, 8, 10, 12, 19, 20, 22, 25-27; Exercises 3.5 (page 141): 2, 3, 5, 9, 10, 11, 13, 14, 16a-21a;
9	Oct 23 & 25	Sec. 3.6: Variation of Parameters Sec. 4.1: General Theory of nth Order Linear Equations	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 3.6 (page 146): 6, 7, 9, 11, 12, 14, 15, 24-26; Exercises 4.1 (page 173): 1, 5, 7, 11, 13, 15, 16, 17, 20;
10	Oct 30 & Nov 01	Sec. 4.2: Homogeneous Equations with Constant Coefficients Midterm 2	Please check CSUN Canvus	Please check CSUN Canvus	Exercises 4.2 (page 180): 2, 9-13, 15, 17, 20, 25;
11	Nov 6 & 8	Sec. 7.1: Introduction Sec. 7.2: Review of Matrices Sec. 7.3: Systems of Linear Algebraic Equations: Linear Independence, Eigenvalues, Eigenvectors	Please check CSUN Canvus	Please check CSUN Canvus
12	Nov 13 & 15	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-Valued Eigenvalues	Please check CSUN Canvus	Please check CSUN Canvus
13	Nov 20 & 22	Sec. 7.7 Fundamental Matrices Sec. 7.8: Repeated Eigenvalues Sec. 9.1: The Phase Plane: Linear Systems	Please check CSUN Canvus	Please check CSUN Canvus
14	Nov 27 & 29	Sec. 9.2: Autonomous Systems and Stability Sec. 9.3: Locally Linear Systems Sec. 9.4: Competing Species	Please check CSUN Canvus	Please check CSUN Canvus
15	Dec 04 & Dec 06	Sec. 9.5: Predator-Prey Equations Midterm 3	Please check CSUN Canvus	Please check CSUN Canvus
16	Dec 13	Final Exam