Course Outline


Table 1: Outline
Week Number Title Sections Homework Problems
1 Intro/First Order Eqn 1.1-1.3, 2.1  
2 Separable Eqn and modeling 2.2, 2.3 1-9
3 Population Dynamics, Second Order, Wronskians 2.5, 3.1, 3.2 10-18
4 Characteristic Polynomials, Non homogeneous Eqn 3.3, 3.4, 3.5 19-34
5 Variation of a Parameter, Mechanical Vibrations 3.6, 3.7 35-45
6 Forced Vibrations 3.8, 3.9 46-57
7 Series Solutions, BVP4PDE 5.5, 10.1 58-64
8 Fourier Series for even/odd functionsd 10.2, 10.3, 10.4 65-81
9 Separation of Variables, heat conduction 10.5, 10.6 82-88
10 Wave and Laplace Equations 10.7, 10.8 89-95
11 Systems of First Order ODE's, Eigen-pairs 7.1, 7.2, 7.3 96-100
12 Homogeneous systems with Constant Coefficients 7.5, 7.6 101-114

     

Dr Yuri V Lvov 2017-12-10