Mathematics (MATH) 376
Ordinary Differential Equations (Revision 6)
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Mathematics Diagnostic Assessment. This online test contains 70 questions that will help you assess your mathematical skills. Based on your score we will recommend which Athabasca University mathematics course you are likely ready to take successfully.
Delivery Mode: Individualized study
Area of Study: Science
Centre: Centre for Science
MATH 376 is not available for challenge.
MATH 376 covers basic concepts, methods and techniques for solving ordinary differential equations (ODEs), and considers applications of ODEs in different areas.
Mathematics 376 consists of three main parts covering particular Differential Equations topics in units. The main objective in each unit is to identify the corresponding type of equation or system of equations and to learn techniques for solving them.
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
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:
|Assignment 1 (Part I)||10%|
|Assignment 2 (Part II)||10%|
|Assignment 3 (Part III)||10%|
To learn more about assignments and examinations, please refer to Athabasca University's online Calendar.
Nagle, R. K., Saff E. B., and Snider A. D. Fundamentals of Differential Equations, 8th ed. Boston: Pearson/Addison Wesley, 2012.
Maymeskul, V. Student's Solutions Manual to Accompany Fundamentals of Differential Equations 8th Edition and Fundamentals of Differential Equations and Boundary Value Problems 6th Edition. Boston: Pearson/Addison Wesley, 2012.
The course materials include a study guide and a course orientation.
Athabasca University reserves the right to amend course outlines occasionally and without notice. Courses offered by other delivery methods may vary from their individualized-study counterparts.
Opened in Revision 6, January 15, 2018.
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