Day	Topics	Sections	Events
M	Intro. to differential equations Direction fields and phase lines	1.1 - 1.2 1.3
T	Euler's method Separable equations	1.4 2.1 - 2.2	HW 1 due
W	Integrating factors Mathematica exploration	2.3
M	Modeling with differential equations	3.1 - 3.4	HW 2 due
T	Homogeneous second order linear equations	4.1 - 4.3	HW 3 due
W	Nonhomogeneous linear equations: Undetermined coefficients	4.4 - 4.5
Th	Nonhomogeneous linear equations: Variation of parameters Damping, forcing and resonance	4.6 4.9 - 4.10	HW 4 due
F			HW 5 due Group Work Day
M			Group Work 1 due Test 1
T	Systems of differential equations Method of elimination The phase plane	5.1 5.2 5.4
W	Applications of systems Matrix methods	5.5 - 5.6 9.1, 9.4	HW 6 due
Th	Analysis of linear systems	9.5 - 9.6
F	The matrix exponential function Linearization and bifurcations of nonlinear systems	9.8	HW 7 due
M	Laplace transform: Definition and properties	7.1 - 7.3	HW 8 due
T	Laplace transform: Solving differential equations	7.4 - 7.5
W	Laplace transform: Convolutions and impulses	7.7 - 7.8	HW 9 due
Th			HW 10 due Group Work Day
F			Group Work 2 due Test 2