21-260 Differential Equations
Schedule

Important: According to this link , our Final Exam is scheduled for 5:30-8:30 PM on Friday, May 9. Do not make plans to leave campus before then. If your parents will be making reservations for you, keep them informed so that they do not schedule your departure before your exams are finished. No one will be permitted to take the Final Exam early.


Week #1: 
Jan 14 - 18 		Some Basic Mathematical Models; Direction Fields (1.1)
Solutions of Some Differential Equations (1.2)
Classification of Differential Equations (1.3) 
Week #2: 
Jan 23 - 25 		Linear Equations; Method of Integrating Factors (2.1)
Separable Equations (2.2) 
Week #3: 
Jan 28 - Feb 1 		Separable Equations (2.2)
Modeling with First Order Equations (2.3)
Differences Between Linear and Nonlinear Equations (2.4)
Week #4: 
Feb 4 - 8 		Autonomous Equations and Population Dynamics (2.5)
Homogeneous Equations with Constant Coefficients (3.1)
Week #5: 
Feb 11 - 15
Homogeneous Equations with Constant Coefficients (3.1)
Fundamental Solutions of Linear Homogeneous Equations (3.2)
Exam #1 will be given during the lecture hour on Friday, February 15.
Last semester's Exam 1
Week #6: 
Feb 18 - 22 		Linear Independence and the Wronskian (3.3)
Complex Roots of the Characteristic Equation (3.4)
Repeated Roots (3.5)
Nonhomogeneous Equations; Method of Undetermined Coefficients (3.6)
Week #7: 
Feb 25 - 29 		Nonhomogeneous Equations; Method of Undetermined Coefficients (3.6)
Mechanical and Electrical Vibrations (3.8)
Forced Vibrations (3.9)
Week #8: 
Mar 3 - 6 		Definition of the Laplace Transform (6.1) 
Solution of Initial Value Problems (6.2)
Week #9: 
Mar 17 - 21 		Solution of Initial Value Problems (6.2)
Step Functions (6.3)
Differential Equations with Discontinuous Forcing Functions (6.4)
Week #10: 
Mar 24 - 28 		A very quick review of matrix algebra and eigenvalues
Basic Theory of Systems of First Order Linear Equations (7.4)
Homogeneous Linear Systems with Constant Coefficients (7.5)
Exam #2 will be given during the lecture hour on Friday, March 28.
Last semester's Exam 2
Reference Sheet for Exams 2, 3, and Final Exam (You won't need the bottom half for Exam 2.)
Last semester's Exam 2 - Solutions
Solutions to Exam 2, Version 1 (10:30 lecture)
Solutions to Exam 2, Version 2 (12:30 lecture)
Abbreviations used in exam grading
Week #11: 
Mar 31 - Apr 4 		Homogeneous Linear Systems with Constant Coefficients (7.5)
Complex Eigenvalues (7.6)
Two-Point Boundary Value Problems (10.1)
Week #12: 
Apr 7 - 11 		Fourier Series (10.2)
The Fourier Convergence Theorem (10.3)
Week #13: 
Apr 14 - 17 		Even and Odd Functions (10.4)
Week #14: 
Apr 21 - 25 		Separation of Variables; Heat Conduction in a Rod (10.5)
Other Heat Conduction Problems (10.6)
Week #15: 
Apr 28 - May 2 		Exam #3 will be given during the lecture hour on Monday, April 28.
Last semester's Exam 3
Solutions to last semester's Exam 3
Solutions to Exam 3
Other Heat Conduction Problems (10.6)
The Wave Equation: Vibration of an Elastic String (10.7)
Last semester's Final Exam
Solutions to last semester's final exam are not available, sorry.

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