Mathematics (MATH) 376

Overview

MATH 376 covers basic concepts, methods and techniques for solving ordinary differential equations (ODEs), and considers applications of ODEs in different areas.

Outline

Part I: First-order Differential Equations

• Unit 1: Introducing Ordinary Differential Equations
• Unit 2: Directly Integrable Ordinary Differential Equations Resolved in Terms of the Derivative
• Unit 3: Reduction to Separable Equations
• Unit 4: Reduction to Exact Equations: Integrating Factors
• Unit 5: First-order Equations not Resolved with Respect to the Derivative: Parametric Solutions
• Unit 6: Initial Value Problems for a Single First-order Differential Equation

Part II: Systems of Ordinary Differential Equations with Constant Coefficients

• Unit 7: The Basic Theory of Systems of Linear Ordinary Differential Equations
• Unit 8: Systems of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients
• Unit 9: Particular Solutions for Nonhomogeneous Linear Ordinary Differential Equations
• Unit 10: Laplace Transforms
• Unit 11: Initial Value Problems from the Perspective of Laplace Transforms

Part III: Beyond Linear Equations with Constant Coefficients

• Unit 12: Some Cases of Reduction for Linear Ordinary Differential Equations
• Unit 13: Power Series Solutions to Ordinary Differential Equations with Analytic Coefficients
• Unit 14: Non-analytic Coefficients: The Method of Frobenius
• Unit 15: Autonomous Systems of Two Equations and Numeric Approximations to Solutions of Initial Value Problems for Systems of Ordinary Differential Equations

Evaluation

To receive credit for MATH 376, you must achieve a grade of at least “50” per cent on the final examination, and a course composite grade of at least (50 percent). The weighting of the composite grade is as follows:

To learn more about assignments and examinations, please refer to Athabasca University's online Calendar.