Chapter 1. First order Differential Equations

• 1.1: Differential equations and mathematical models
• 1.2: Integrals as general and particular solutions
• 1.3: Direction fields and solution curves
• 1.4: Separable equations and applications
• 1.5: Linear first order equations
• 1.6: Substitution methods and exact equations 

• 2.1: Population models
• 2.3: Acceleration - velocity models (If time permits)

• 3.1: Introduction : Second order linear equations
• 3.2: General solutions of linear equations
• 3.3: Homogeneous equations with constant coefficients
• 3.4: Mechanical variation
• 3.5: Inhomogeneous equations and the method of undetermined coefficients
• 3.6: Forced oscillations and resonance
• 3.8: Boundary value problems and eigenvalues

• 9.1: Periodic functions and trigonometric series
• 9.2: General Fourier series and convergence
• 9.3: Fourier sin and cos series
• 9.4: Applications of Fourier series
• 9.5: Heat conductions and separation of variables
• 9.6: Vibrating strings and the 1-D wave equation
• 9.7: Steady - state temperature and Laplace equations