# MATH 308 - Suggested Weekly Schedule

**Notes:**

- This is a Fall (or Spring) schedule. In Summer, the schedule is

accelerated by 50% in order to accommodate a 10-week session. - Assignments incorporating
**dsolve**,**ode45**,**dfield**,and**pplane**will be made.

They will be created so as to be gradeable within a 3.5 hour/week timeframe.

- Week 1
- Section 1.1: Some Bacic Mathematical Models; Direction Fields
- Section 1.2: Solutions of Some Differential Equations
- Section 1.3: Classification of Differential Equations
- JAVA:
**dfield**app illustrated in class (20 minutes)

- Week 2
- Section 2.1: Linear Equations; Method of Integrating Factors
- Section 2.2: Separable Equations
- Section 2.3: Modeling with First Order Equations

- Week 3
- Section 2.4: Differences Between Linear and Nonlinear Equations
- Section 2.5: Autonomous Equations and Population Dynamics
- Section 2.6: Exact Equations and Integrating Factors
- MATLAB:
**dsolve**command illustrated in class (20 minutes)

- Week 4
- Section 3.1: Homogeneous Equations with Constant Coefficients
- Section 3.2: Solutions of Linear Homogeneous Equations
- Section 3.3: Complex Roots of the Characteristic Equation

- Week 5
- Section 3.4: Repeated Roots; Reduction of Order
- Section 3.5: Nonhomogeneous Equations; Method of Undetermined Coefficients
- Section 3.6: Variation of Parameters

- Week 6
- Section 3.7: Mechanical and Electrical Vibrations
- Section 3.8: Forced Vibrations
**Exam 1 (Chapters 1-3)**

- Week 7
- Section 6.1: Definition of the Laplace Transform
- Section 6.2: Solution of Initial Value Problems [via Laplace Transforms]
- Section 6.3: Step Functions

- Week 8
- Section 6.4: Differential Equations with Discontinuous Forcing Functions
- Section 6.5: Impulse Functions
- Section 6.6: The Convolution Integral

- Week 9
- Section 5.1: Review of Power Series
- Section 5.2: Series Solutions Near an Ordinary Point I

- Week 10
- Section 5.3: Series Solutions Near an Ordinary Point II
- Section 7.1: Introduction [to Systems of 1st Order Equations]
- Section 7.2: Review of Matrices
- Section 7.3: Linear Algebraic Equations; Eigenvalues, Eigenvectors

- Week 11
- Section 7.4: Basic Theory of Systems of First Order Linear Equations
- Section 7.5: Homogeneous Linear Equations with Constant Coefficients
- Section 7.6: Complex Eigenvalues
- Section 7.7: Fundamental Matrices
**Exam 2 (Chapters 3, 5, 6)**

- Week 12
- Section 7.8: Repeated Eigenvalues
- Section 7.9: Nonhomogeneous Linear Systems

- Week 13
- Section 9.1: The Phase Plane: Linear Systems
- Section 9.2: Autonomous Systems and Stability
- JAVA:
**pplane**app illustrated in class (20 minutes) - Thanksgiving break (in Fall semester)

- Week 14
- Section 9.3: Locally Linear Systems
- Section 8.1: The Euler or Tangent Line Method
- Section 8.2: Improvements on the Euler Method
- MATLAB:
**ode45**command illustrated in class (20 minutes)

- Week 15
- Section 8.3: The Runge-Kutta Method
**Final Exams**

Last modified: 2017-08-15