Course Outline - Fall 2001
Text: Elementary Differential
Equations with Boundary Value Problems (4th edition)
Authors: Edwards and Penney
Publisher: Prentice Hall ISBN
0-13-253410-X
Topics Sections and Homework Assignments
Week 1
Introduction. Integration. Existence and uniqueness. Sections: 1.1 - 1.3
Separable and linear equations. Applications. Sections: 1.4 - 1.5, 1.7
1.4: 4, 14, 17, 18, 22, 58
1.5: 17, 22, 25, 32, 37, 39
1.7: 2, 3, 9, 10, 14, 25
Numerical methods. Sections: 6.1 - 6.3
Homework
Linear equations. Homogeneous constant coefficient equations. Sections: 2.1 - 2.3
Homework
Undetermined coefficients and variation of parameters. Forced oscillations, resonance, and circuits. Sections: 2.5-2.6/2.7, 2.8
Homework
Laplace transform methods. Sections: 4.1 - 4.2
Homework
Laplace transform methods. Sections: 4.3 - 4.4
Homework
Series solutions. Sections: 3.1 - 3.2
Homework
Introduction to linear systems. Sections: 5.1, 5.2
Homework
Matrices and linear systems. The Eigenvalue Method for Homogeneous Systems. Sections: 5.3-5.4
Homework
Matrix Exponentials. Numerical methods for systems Sections: 5.7, 6.4
Homework
Nonhomogeneous linear systems. Fourier series. Sections: 5.8, 8.1
Homework
Fourier series. Sections: 8.2, 8.3
8.2: 1, 9, 15, 16, 17
8.3: 2, 11, 14
Week 14
Separation of variables for PDEs. Review. Sections: 8.5
Homework
8.5: 3, 11, 20