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Elementary Differential Equations and Boundary Value Problems (Course Advantage Edition) Eighth Edition by William E. Boyce and Richard C. DiPrima
Planar Systems of Differential Equations
There will be 3 midterm exams (100 points each), homework/quizzes (100 points) and one comprehensive final exam (150 points). The maximum total for the course will be 550 points.
Sections Covered |
Homework |
| Elementary Differential Equations and Boundary Value Problems | |
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2.1 Linear Equations; Method of Integrating Factors |
2(c),6(c),8(c),13,16 |
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2.2 Separable Equations |
3,6,7,10(a,c),22 |
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2.3 Modeling with First Order Equations |
1,3,7,21,23 |
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2.6 Exact Equations and Integrating Factors |
3,5,11,12,19,29 |
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3.1 Homogeneous Equations with Constant Coefficients |
7,14,17,20,23 |
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3.2 Fundamental Solutions of Linear Homogeneous Equations |
4,8,12,13,15,16,17,19,22,23,26 |
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3.3 Linear Independence and the Wronskian |
1,6,7,9,12,17,18,20,22 |
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3.4 Complex Roots of the Characteristic Equation |
7,12,16,18,19,27 |
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3.5 Repeated Roots; Reduction of Order |
1,2,7,12,15,25,32 |
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3.6 Non-homogeneous Equations; Method of Undetermined Coefficients |
2,4,8,16,17 |
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3.7 Variation of Parameters |
7,12,13,17 |
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3.8 Mechanical and Electrical Vibrations (Mechanical Vibrations only) |
7,9,13,17,26(a,b) |
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3.9 Forced Vibrations |
5,7,11,12 |
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6.1 Definition of the Laplace Transform |
1,2,3,5(c),7,13,14,16,18 |
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6.2 Solution of Initial Value Problems |
7,8,9,11,20,21,24 |
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6.3 Step Functions |
1,3,7,9,14,16,17,24,25 |
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6.4 Differential Equations with Discontinuous Forcing Functions |
1,2,4,6,8,11,14,16(a,b) |
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6.5 Impulse Functions |
1,3,5,11,14(a,b) |
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6.6 The Convolution Integral |
4,6,8,10,13,15 |
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2.7 Numerical Approximations: Euler's Method |
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8.1 The Euler or Tangent Line Method |
3(a,b,c,d),4(a,b,c,d),9(1,b,c,d),22 |
| Planar Systems of Differential Equations | |
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1. Introduction |
1.1-1.2 |
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2.Some Concepts from Matrix Theory and Linear Algebra |
2.1,2.2(1,4,6,7),2.3(1),2.4(3),2.5(1,2,3) |
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3. General Theory of Linear 2x2 Systems (for those interested in the details) |
3.1,3.3,3.4 |
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4. Case 1 |
4.1,4.2,4.4 |
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5. Case 2 |
5.1,5.2,5.3 |
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6. Case 3 |
6.1,6.2,6.5 |
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7. Solutions of Nonhomogeneous Systems |
2.6(1,3),7.1,7.3,7.4 |
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8. Qualitative Methods |
8.1,8.2,8.3 |
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9. Linearization of a Nonlinear System at an Isolated Rest Point |
Optional |
Mathematics Department |
Phone (573) 882-6221
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© 2008 — Curators of the University of Missouri |
