Separable Equations (due Sunday, August 31)

Separable Equations (due Tuesday, September 2)

Exact Equations (due Sunday, September 7)

Exact and Linear Equations (due Tuesday, September 9)

Write a lab report with your answers to the 7 questions in the
Slope Field Lab instructions (due Wednesday, September 3)

Linear Equations (due Sunday, September 14)

Exact and Linear Equations (due Tuesday, September 9)

The assignment for this lab is to solve the following problems
from the text (including a comparison of the errors):
     §1.8: 1, 3, 9, 11, 17, and 19 (due Wednesday, September 10)

Bernoulli Equations (due Sunday, September 21)
Homogeneous Equations (due Sunday, September 21)

Riccati Equations  (due Tuesday, September 16)

The assignment for the Autonomous Equations lab is to write a report which includes

• A list of all the equations you considered along with sketches of the graphs (both dp/dt vs. p and p vs. t) for the equations.
• The hypotheses you generated.
• A paragraph for each final hypothesis explaining why your hypothesis is correct. This explanation should involve the geometric interpretation of slope and derivative.  It is not acceptable to just write that the hypothesis works for all your examples.  Each paragraph should be written in complete sentences using proper grammar and spelling.

While you may work with a partner on the lab, you should turn in your own lab report.  Your report must be written in proper English with complete sentences. (due Wednesday, September 17)

Long-Term Behavior (due Sunday, September 28)

Long-Term Behavior and Population Models (due Tuesday, September 23)

The assignment for the Harvesting Models lab is to write a report which includes

• A justification for the mathematical models we used for the constant and proportional harvesting strategies.
• A discussion of how changing the constant h changes the population and the yield for the constant harvesting model. Include a sketch of the different population curves.
• A mathematical computation of the optimal h for the constant harvesting model to maximize long-term yield.
• A discussion of how changing the constant E changes the population and the yield for the proportional harvesting model. Include a sketch of the different population curves.
• A mathematical computation of the optimal E for the proporational harvesting model to maximize long-term yield.
• A discussion of which model is best for long-term stability of the population. You may want to consider what happens if, through a miscalculation, you allow slightly too many or too few fish to be harvested (i.e. h or E are a little above or below the optimum values) or which model would have the fewest issues with enforcing limits on harvesting in real life.

While you may work with a partner on the lab, you should turn in your own lab report.  Your report must be written in proper English with complete sentences. (due Wednesday, September 24)

Complex Arithmetic  (due Sunday, October 5)
Complex Variables (due Sunday, October 5)

Complex Variables  (due Tuesday, September 30)

Reducible Second-Order Equations (due in recitation Thursday, October 2)

2nd-Order Homogeneous Equations  (due Sunday, October 12)

Linear Operators  (due Tuesday, October 7)

Write a lab report with your answers to the 10 questions in the Free Motion Lab instructions (due Wednesday, October 8)

2nd-Order Inhomogeneous Equations  (due Sunday, October 19)

2nd-Order Inhomogeneous Equations  (due Wednesday, October 15)

The assignment for this lab is to solve the following problems from the text (including a comparison of errors as appropriate):

• §2.14: 6
• §2.15: 2, 6, 10, 12 (due Wednesday, October 15)
  

Higher-Order Linear Equations  (due Tuesday, October 21)

Spring-Mass Systems (due Sunday, November 2)
LRC Circuits (due Sunday, November 2)

Applications of Linear Equations (due Tuesday, October 28)

Boundary Value Problems (due Thursday, October 30)

Laplace Transforms  (due Sunday, November 9)
Inverse Laplace Transforms  (due Sunday, November 9)

Laplace Transforms  (due Tuesday, November 4)

Write a lab report with your answers to the 7 questions in the Forced Motion Lab instructions (due Wednesday, November 5)

Impulse Functions  (due Sunday, November 16)
First-order Linear Systems (due Sunday, November 16)

Solving Differential Equations
Using Laplace Transforms  (due Tuesday, November 11)

Write a lab report with your answers to the questions in bold face from the  Stability Lab instructions (due Wednesday, November 12)

Systems of Differental Equations  (due Tuesday, November 18)

Write a lab report with your answers to the questions in bold face from the   Linear Systems Lab instructions (due Wednesday, November 19)

Series Solutions  (due Sunday, November 30)

Power Series and Radius of Convergence  (due Tuesday, November 25)

Differentiation of Laplace Transforms (due in Recitation, December 4)

Radius of Convergence  (due Monday, December 8)
Euler Equations (due Monday, December 8)

Series Solutions  (due Tuesday, December 2)

Write a lab report with your answers to the questions in bold face from the   Radius of Convergence Lab instructions (due Wednesday, December 3)