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 
1.1 Some Basic Mathematical Models; Direction Fields.
1.3. Classification of Differential Equations. 2.2. Seperable Equations. Administrative Note: Monday 16 January is Martin Luther King Day. The 12:30 section will not meet on Monday. In order to keep the two sections synchronized, the 10:30 section will not meet on Wednesday 18 January. 
Week #2:
Jan 23  27 Homework 
2.1. Linear Equations with Variable Coefficients.
2.3. Modeling with First Order Equations. 2.5. Autonomous Equations and Population Dynamics. 
Week #3:
Jan 30  Feb 3 Homework 
2.4. Differences between Liner and Nonlinear Equations.
2.7. Numerical Approximations: Euler's Method. 7.1. Introduction (to Systems of First Order Equations). 
Week #4:
Feb 6  10 Homework 
7.2. Review of Matrices.
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors. 7.5. Homogeneous Linear Systems with Constant Coefficients. 
Week #5:
Feb 13  17 Homework 
7.4. Basic Theory of Systems of First Order Linear Equations.
7.6. Complex Eigenvalues. Exam #1 will be given on Wednesday 15 February. The exam will be held during your regular class time. Here are some review problems. 
Week #6:
Feb 20  24 Homework 
7.8. Repeted Eigenvalues.
9.1. The Phase Plane; Linear Systems. 9.2. Autonomous Systems and Stability. 
Week #7:
Feb 27  Mar 3 Homework 
9.3. Almost Linear Systems.
3.1. Homogeneous Equations with Constant Coefficients. 3.4. Complex Roots of the Characteristic Equation. 
Week #8:
Mar 6  10 Homework 
3.5. Repeated Roots; Reduction of Order.
3.2. Fundamental Solutions of Linear Homogeneous Equations. Administrative note: Friday 10 March is the MidSemester Break. Class will not meet. Additionally, March 13 17 is Spring Break. Classes will resume on March 20. 
Week #9:
Mar 20  24 Homework 
3.8. Mechanical and Electrical Vibrations.
3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients. Exam #2 will be given on Wednesday 22 March. Here are some review problems. 
Week #10:
Mar 27  31 Homework 
3.9. Forced Vibrations.
6.1. Defenition of the Laplace Transform. 6.2. Solution of Initial Value Problems. 
Week #11:
Apr 3  7 Homework 
6.3. Step Functions.
6.4. Differential Equations with Discontinuous Forcing Functions. 6.5. Impulse Functions. Administrative Note: Monday 3 April is the Course Drop and Pass/Fail grade option deadline. Grade of "W" is assigned after this date. 
Week #12:
Apr 10  14 Homework 
6.6. The Convolution Integral.
10.2. Fourier Series. Exam #3 will be given on 
Week #13:
Apr 17  21 Homework 
10.3. The Fourier Convergence Theorem.
. Administrative Note: May 21 is Spring Carnival. Class will not meet. 
Week #14:
Apr 24  28 Homework 
10.4. Even and Odd Functions.
10.1. Two Point Boundary Value Problems. 10.5. Heat Conduction in a Rod. 
Week #15:
Mar 1  5 Homework 
10.6. Other Heat Conduction Problems.
10.7. The Wave Equation; Vibrations of an Elastic String. Administrative note: Friday 5 May is the last day of class. Friday 5 May is also the course drop deadline to receive a "W" grade. 
Final Exam

The Final Exam has been scheduled for Friday 12 May, from 8:3011:30am in UC McConomy. Please take this into account when making your travel plans. Here are some review problems. 