DIFFERENTIAL EQUATIONS
Instructor: Dr. Turker Topcu
Lectures: Mon-Fri 10:10-11:45 pm (Sec. 3002) at PE 104
Welcome to MATH 285 (Fall 16). Please refer to the course syllabus below for information regarding course schedule, online homework and grading policy. Homeworks and course-related announcements will be posted on the WebAssign system throughout the semester. See below for the class key for this course in WebAssign.
We will cover material essential for applying standard techniques to analyze and solve ordinary differential equations using analytical and qualitative methods. By the end of this course, you should be able to model with differential equations and interpret the results of their mathematical analysis. The emphasis in this course will be placed on understanding the underlying concepts rather than memorization: knowing why is the key to knowing how. The student is responsible for reading the course syllabus, including all the necessary information regarding the exams, homework, and procedures.
The syllabus can be downloaded here: math285_syllabus
Homework: Weekly homework assignments will be posted on the WebAssign website, accompanying the textbook. The student needs to create an account on this site to see and complete the assignments. After creating an account, you will need to register for this course, whose course ID is unr 1125 0375 for section 3002. Once you log into your account, there are tutorials showing how to use the website. If you have any problem registering, you can call customer service for WebAssign at: (800) 955-8275.
Below is the Fall 2016 schedule for the course. Although this is a tentative schedule, we will try to stick to it as much as possible. We will cover selected sections from chapters 1-8.
| Week of | Chapter | Subject | Notes |
| Aug. 29 | Ch. 1.1, 1.2 | Definitions, Terminology, Initial Value Problems | |
| Sep. 5 | Ch. 1.2, 2.1 | (Labor day) Solution curves without a solution | |
| Sep. 12 | Ch. 2.2, 2.3 | Separable Equations, Linear Eqns. | |
| Sep. 19 | Ch. 2.6, 3.1 | Euler method, Linear models | |
| Sep. 26 | Ch. 3.2, 4.1 | Nonlinear models, Linear Equations | |
| Oct. 3 | Ch. 4.2, Exam 1 | Reduction of Order | |
| Oct. 10 | Ch. 4.3, 4.1 | Homogeneous Linear Eqns with constant coeff | |
| Oct. 17 | Ch. 4.4, 4.7 | Undetermined coefficients, Cauchy-Euler Equation | |
| Oct. 24 | Appendix II, Ch. 4.6 | Matrices, Variation of parameters | |
| Oct. 31 | Appendix II, Exam 2 | Matrices, Eigenvectors | |
| Nov. 7 | Ch. 7.1, 7.2 | Laplace transform, Inverse transforms | |
| Nov. 14 | Ch. 7.3 | Translation on the s-axis/t-axis | |
| Nov. 21 | Appendix II | Complex Eigenvalues and Eigenvectors | |
| Nov. 28 | Ch. 7.4, 7.5 | Operational properties, Dirac delta-function | |
| Dec. 5 | Ch. 8.1, 8.2 | Systems of linear differential equations | |
| Dec. 12 | Prep Day |
IMPORTANT LINKS
- The course syllabus is located here: math285_syllabus
- WebAssign web site
- MyNEVADA web page