285 DIFFERENTIAL EQUATIONS (3+0) 3 credits
Theory and solving techniques for constant and variable coefficient linear equations and a variety of non-linear equations. Emphasis on those differential equations arising from real-world phenomena. Prerequisite: MATH 283 (or 182 with permission of instructor).
Fall 2004
5 Quizzes 25 points each (drop 1) 5 Homework Assignments 10 points each Recitation/Participation 25 points 1 Midterm Exam 100 points 1 Final Exam 100 points ------------------------------------------------------- 375 points total
# Date Chapter Topic ------------------------------------------------------------------------ 1 Aug 23 2.2 Separation of Variables 2 Aug 25 2.3 Variation of Parameters 3 Aug 27 Recitation (attendance required) 4 Aug 30 2.4 Exact Equations 5 Sep 1 2.5 Solution by Substitution Final date for adding classes; changing from letter grade to S/U; changing from S/U to letter grade; changing from audit to credit. Final date for late registration and paying registration fees; to receive 100 percent refund if completely withdrawing from the university; to receive refunds for dropping individual classes. 6 Sep 3 QUIZ 1 Sep 6 Labor Day Holiday. Offices closed/ No classes 7 Sep 8 2.1 Direction Fields 8 Sep 10 2.6 Numerical Solutions 9 Sep 13 9.1 Error Analysis 10 Sep 15 9.2 Runge-Kutta Methods 11 Sep 17 Computer Lab (attendance required) 12 Sep 20 QUIZ 2 13 Sep 22 8.1 Systems of Linear First Order Equations 14 Sep 24 8.2.1 Distinct Real Eigenvalues 15 Sep 27 8.2.2 Repeated Eigenvalues 16 Sep 29 8.2.3 Complex Eigenvalues 17 Oct 1 Recitation (attendance required) 18 Oct 4 8.3 Variations of Parameters 19 Oct 6 8.4 Matrix Exponential 20 Oct 8 Review 21 Oct 11 MIDTERM EXAM 22 Oct 13 1.2 Existence of a Unique Solution 23 Oct 15 4.1.1 Initial-Value and Boundary-Value Problems Final date for dropping classes. 24 Oct 18 4.1.2 Homogeneous Equations 25 Oct 20 4.1.3 Nonhomogeneous Equations 26 Oct 22 QUIZ 3 27 Oct 25 4.2 Reduction of Order 28 Oct 27 4.3 Constant Coeficients Oct 29 Nevada Day Holiday (observed). Offices closed/ No classes. 29 Nov 1 4.4 Superposition Approach 30 Nov 3 4.5 Annihilator Approach 31 Nov 5 Recitation (attendance required) 32 Nov 8 4.6 Variation of Parameters 33 Nov 10 Review Nov 11 Veteran's Day Holiday. Offices closed/ No classes. 34 Nov 12 QUIZ 4 35 Nov 15 7.1 Definition of the Laplace Transform 36 Nov 17 7.2 Inverse Transform 37 Nov 19 Recitation (attendance required) 38 Nov 22 7.3.1 Translation on the s-axis 39 Nov 24 7.3.2 Translation on the t-axis Nov 25 Thanksgiving Day Holiday. Offices closed/ No classes. Family Day Holiday. Offices closed/ No classes. 40 Nov 29 7.4 Additional Operational Properites 41 Dec 1 7.5 Dirac Delta Function 42 Dec 3 QUIZ 5 Dec 4 Winter Commencement is held in Lawlor Events Center. 43 Dec 6 Review