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 15  19 Homework 
Introduction to Differential Equations. (1.1, 1.3)
Seperable Equations. (2.2, 1.1) Administrative Note: Monday 15 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 22  26 Homework (updated) 
Mathematical Modeling. (2.3)
Linear First Order Differential Equations. (2.1) Existence and Uniqueness Theorems. (2.4, 2.8) 
Week #3:
Jan 29  Feb 2 Homework 
Autonomous Differential Equations and Population Modeling. (2.5)
Euler's Method. (2.7) Systems of First Order Equations. (7.1) 
Week #4:
Feb 5  9 Homework 
Vectors and Matrices. (7.2)
Systems of Algebraic Equations. (7.3) Linear Independence of Vectors. (7.3) 
Week #5:
Feb 12  16 
Eigenvalues and Eigenvectors. (7.3)
Homogeneous Linear Systems with Constant Coefficients. (7.5) Exam #1 will be given on Wednesday 14 February. The exam will be held during your regular class time. Here are some review problems. 
Week #6:
Feb 19  23 Homework 
The Phase Plane and Linear Systems. (9.1)
Basic Theory of First Order Linear Systems. (7.4) Systems with Complex Eigenvalues. (7.6) 
Week #7:
Feb 26  Mar 2 Homework 
Systems with Repeted Eigenvalues. (7.8)
Stability of Equilibria and "Almost Linear Systems" (9.2, 9.3) Linear Equations and Linear Systems. (3.1) 
Week #8:
Mar 5  9 Homework 
General Solutions for Second Order Linear Systems. (3.2, 3.3, 3.4, 3.5)
Initial Value Problems and Boundary Value Problems. (10.1) Administrative note: Friday 9 March is the MidSemester Break. Class will not meet. 
Spring Break
Mar 12  16 
March 12 16 is Spring Break. Classes will resume on March 19. 
Week #9:
Mar 19  23 
Mechanical and Electrical Vibrations. (3.8)
Method of Undetermined Coefficients. (3.6) Exam #2 will be given on Wednesday 21 March. Here are some review problems. 
Week #10:
Mar 26  30 Homework 
Forced Vibrations. (3.9)
Defenition of the Laplace Transform. (6.1) Transforms of Derivatives and Initial Value Problems. (6.2) 
Week #11:
Apr 2  6 Homework 
Linear, Second Order, Constant Coefficient Equations
Discontinuous Forcing Functions and Impulse Functions. (6.3, 6.4, 6.5) Recap and Other Laplace Transform Topics. Administrative Note: Monday 2 April is the Course Drop and Pass/Fail grade option deadline. Grade of "W" is assigned after this date. 
Week #12:
Apr 9  13 
The Convolution Integral. (6.6)
Fourier Series. (10.2) The Fourier Convergence Theorem. (10.3) Exam #3 will be given on Friday 13 April. Here are some review problems. 
Week #13:
Apr 16  20 Homework 
Fourier Sine and Cosine Series. (10.4)
Administrative Note: Friday April 20 is Spring Carnival. Class will not meet on that day. Recitations are also canceled on Thursday 19 April. 
Week #14:
Apr 23  27 Homework 
The Heat Equation. (10.5)
Separation of Variables. (10.5) Solutions to the Heat Equation. (10.6) 
Week #15:
Apr 30  Mar 4 Homework 
The Wave Equation. (10.7)
Solutions to the Wave Equation. (10.7) Administrative note: Friday 4 May is the last day of class. Friday 4 May is also the course drop deadline to receive a "W" grade. 
Final Exam

The Final Exam has been scheduled for Monday 7 May, from 8:3011:30am in UC McConomy. Please take this into account when making your travel plans. Here are some review problems. 