21-260 Differential Equations


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Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Jan 16 - 20
Homework M: Martin Luther King Jr. Day. No Class.
W: Introduction to Differential Equations.
F: Seperable Equations.

Week #2:
Jan 23 - 27
Homework M: Some Basic Mathematical Models.
W: Linear First Order Differential Equations.
F: Existence and Uniqueness Theorems.

Week #3:
Jan 30 - Feb 3
Homework M: Autonomous Differential Equations.
W: Euler's Method.
F: Systems of First Order Equations.

Week #4:
Feb 6 - 10
Homework M: Vectors and Matrices.
W: Systems of Algebraic Equations.
F: Linear Independence of Vectors.

Week #5:
Feb 13 - 17
Exam Review M:
W: Exam #1 will be given on Wednesday, February 15.
F: Eigenvalues and Eigenvectors.

Week #6:
Feb 20 - 24 M: Homogeneous Linear Systems with Constant Coefficients.
W: The Phase Plane and Linear Systems.
F: Basic Theory of First Order Linear Systems.

Week #7:
Feb 27 - Mar 2 M: Systems with Complex Eigenvalues.
W: Systems with Repeted Eigenvalues.
F: Equilibrium Points and Stability.

Week #8:
Mar 5 - 9 M: Linear Differential Equations and Linear Systems.
W: General Solutions for Second Order Linear Systems.
F: Mid-Semester Break. No Class.

Week #9:
Mar 19 - 23 M: Initial Value Problems and Boundary Value Problems.
W: Exam #2 will be given on Wednesday, March 21.
F: Mechanical and Electrical Vibrations.

Week #10:
Mar 26 - 30 M: Method of Undetermined Coefficients.
W: Forced Vibrations.
F: Defenition of the Laplace Transform.

Week #11:
Apr 2 - 6 M: Transforms of Derivatives and Initial Value Problems.
W: Linear, Second Order, Constant Coefficient Equations.
F: Discontinuous Forcing Functions and Impulse Functions.

Week #12:
Apr 9 - 13 M: Recap and Other Laplace Transform Topics.
W: The Convolution Integral.
F: Fourier Series.

Week #13:
Apr 16 - 20 M: Exam #3 will be given on Monday, April 16.
W: The Fourier Convergence Theorem.
F: Spring Carnival. No Classes.

Week #14:
Apr 23 - 27 M: Fourier Sine and Cosine Series.
W: The Heat Equation.
F: Separation of Variables.

Week #15:
Apr 30 - May 4 M: Solutions to the Heat Equation.
W: The Wave Equation.
F: Solutions to the Wave Equation.

Final Exam The Final Exam has not yet been scheduled. It may take place as late as May 15. Please take this into account when making your travel plans.

Week #1: Jan 16 - 20 Homework	M: Martin Luther King Jr. Day. No Class. W: Introduction to Differential Equations. F: Seperable Equations.
Week #2: Jan 23 - 27 Homework	M: Some Basic Mathematical Models. W: Linear First Order Differential Equations. F: Existence and Uniqueness Theorems.
Week #3: Jan 30 - Feb 3 Homework	M: Autonomous Differential Equations. W: Euler's Method. F: Systems of First Order Equations.
Week #4: Feb 6 - 10 Homework	M: Vectors and Matrices. W: Systems of Algebraic Equations. F: Linear Independence of Vectors.
Week #5: Feb 13 - 17 Exam Review	M: W: Exam #1 will be given on Wednesday, February 15. F: Eigenvalues and Eigenvectors.
Week #6: Feb 20 - 24	M: Homogeneous Linear Systems with Constant Coefficients. W: The Phase Plane and Linear Systems. F: Basic Theory of First Order Linear Systems.
Week #7: Feb 27 - Mar 2	M: Systems with Complex Eigenvalues. W: Systems with Repeted Eigenvalues. F: Equilibrium Points and Stability.
Week #8: Mar 5 - 9	M: Linear Differential Equations and Linear Systems. W: General Solutions for Second Order Linear Systems. F: Mid-Semester Break. No Class.
Week #9: Mar 19 - 23	M: Initial Value Problems and Boundary Value Problems. W: Exam #2 will be given on Wednesday, March 21. F: Mechanical and Electrical Vibrations.
Week #10: Mar 26 - 30	M: Method of Undetermined Coefficients. W: Forced Vibrations. F: Defenition of the Laplace Transform.
Week #11: Apr 2 - 6	M: Transforms of Derivatives and Initial Value Problems. W: Linear, Second Order, Constant Coefficient Equations. F: Discontinuous Forcing Functions and Impulse Functions.
Week #12: Apr 9 - 13	M: Recap and Other Laplace Transform Topics. W: The Convolution Integral. F: Fourier Series.
Week #13: Apr 16 - 20	M: Exam #3 will be given on Monday, April 16. W: The Fourier Convergence Theorem. F: Spring Carnival. No Classes.
Week #14: Apr 23 - 27	M: Fourier Sine and Cosine Series. W: The Heat Equation. F: Separation of Variables.
Week #15: Apr 30 - May 4	M: Solutions to the Heat Equation. W: The Wave Equation. F: Solutions to the Wave Equation.
Final Exam	The Final Exam has not yet been scheduled. It may take place as late as May 15. Please take this into account when making your travel plans.