Instructors: Longmei Shu

Course on canvas.dartmouth.edu.

Syllabus

Course Summary:
Date		 Details	
Mon Sep 12	 1.1, 1.2 Basic mathematical models, Solutions of some differential equations	
Wed Sep 14	 1.2, 1.3 Solutions of some differential equations, Classification of differential equations	
Fri Sep 16	 2.1, 2.2 Linear first order differential equations, Separable equations	
Mon Sep 19	 2.4 Existence and uniqueness theorems	
Wed Sep 21	 2.3 Modeling with differential equations	
Thu Sep 22	 Homework 1	due by 11:59pm
Fri Sep 23	 2.5 Autonomous equations and population dynamics	
Mon Sep 26	 2.6 Exact equations	
Tue Sep 27	 Homework 2	due by 11:59pm
Wed Sep 28	 3.1, 3.2 Second order constant coefficient equations with distinct roots, the Wronskian	
Fri Sep 30	 3.3 Complex conjugate roots	
Mon Oct 3	 3.4 Repeated roots and reduction of order	
Wed Oct 5	 3.5, 3.6 Nonhomogeneous equations: Method of undetermined coefficients and variation of parameters	
Thu Oct 6	 Homework 3	due by 11:59pm
Fri Oct 7	 7.1, 7.2 Review of matrices	
Mon Oct 10	 7.3, 7.4 Systems of ODEs, Existence and uniqueness of solutions of systems of ODEs	
Wed Oct 12	 7.5 Constant coefficient systems with distinct real eigenvalues	
Thu Oct 13	 Homework 4	due by 11:59pm
Fri Oct 14	 7.6, 7.7 Constant coefficient systems with complex conjugate eigenvalues, Fundamental matrices	
Mon Oct 17	 7.8 Repeated eigenvalues	
Wed Oct 19	 7.9 Nonhomogeneous linear systems	
Thu Oct 20	 Homework 5	due by 11:59pm
Fri Oct 21	 9.1 The phase plane	
Mon Oct 24	 9.2 Autonomous systems and stability	
Wed Oct 26	 9.3 Locally linear systems	
Fri Oct 28	 9.4 Competing species	
Mon Oct 31	 9.5 Predator-prey equations	
Tue Nov 1	 Homework 6	due by 11:59pm
Wed Nov 2	 6.1, 6.2 Laplace transform and the IVP	
Thu Nov 3	 Midterm 2	due by 11:59pm
Fri Nov 4	 6.3 Step functions	
Mon Nov 7	 6.4, 6.5 Discontinuous forcing functions, Impulse functions	
Tue Nov 8	 Homework 7	due by 11:59pm
Wed Nov 9	 6.6 The convolution integral	
Fri Nov 11	 Review of Chapter 6	
Mon Nov 14	 Review	
Tue Nov 15	 Homework 8	due by 11:59pm
Tue Nov 22	 Final	due by 11:59pm