Date 
Sections of Text 
Topics 
Tuesday, Jan. 10 
1.1  1.2 
Solutions and initial value problems 
Thursday, Jan. 12 
1.3  1.4 
Direction fields, Euler approximation 
Tuesday, Jan. 17 
2.1  2.2 
Separable equations 
Thursday, Jan. 19 
2.3  2.4 
Firstorder linear equations, exact equations 
Tuesday, Jan. 24 
pp. 32  34 (pp. 34 36 in 5th edition) 
Autonomous equations, phase line 
Thursday, Jan. 26 
3.2, 3.4 
Compartmental analysis, Newtonian mechanics 
Tuesday, Jan. 31 
4.1  4.2 
Secondorder linear equations; homogeneous equation: real roots 
Thursday, Feb. 2 
4.3 
Homogeneous equation: complex roots, Review 
Tuesday, Feb. 7 
9.2 
Linear algebraic equations, Test 1 
Thursday, Feb. 9 
4.4 
Undetermined coefficients 
Tuesday, Feb. 14 
4.5  4.6 
Superposition principle, variation of parameters 
Thursday, Feb. 16 
4.9  4.10 
Mechanical vibrations 
Tuesday, Feb. 21 
7.1  7.2 
Laplace transforms 
Thursday, Feb. 23 
7.3 
Properties of Laplace transforms 
Tuesday, Feb. 28 
7.4  7.5 
Inverse Laplace transforms, solving initial value problems 
Thursday, Mar. 1 
7.6 
Discontinuous functions 
Tuesday, Mar. 13 
7.7  7.8 
Convolution, delta function 
Thursday, Mar. 15 
9.3 
Matrices and vectors, Review 
Tuesday, Mar. 20 
9.3 
Matrices and vectors, Test 2 
Thursday, Mar. 22 
9.1, 9.4 
Linear systems of differential equations 
Tuesday, Mar. 27 
9.5 
Real eigenvalues 
Thursday, Mar. 29 
9.6, 5.6 
Complex eigenvalues, coupled massspring systems 
Tuesday, Apr. 3 
9.7 
Nonhomogeneous linear systems 
Tuesday, Apr. 10 
5.4 
Geometry of linear systems 
Thursday, Apr. 12 
12.2 
Geometry of linear systems (continued), Review 
Tuesday, Apr. 17 
12.1 
Phase plane for nonlinear systems, Test 3 
Thursday, Apr. 19 
12.3 
Linearization 
Tuesday, Apr. 24 
12.4 
Energy methods 
Thursday, Apr. 26 

Review 