# Math 3313 Resources

### Homework assignments

Due date       What is due
L2: Thu, 8/24 Quiz: Review
Matlab: Get it running and review tutorial.
Review: All math from age 0 to now.
Homework: Solutions and Integration, 1.2:#4, 6, 10, 12, 16, 18, 23
QUICK READ: Sec. 1.3. Identify a separable differential equation.
L3: Tue, 8/29 Quiz: Sec. 1.2
Homework: Separation of variables, 1.3: #4, 5, 8, 11, 13, 15
QUICK READ Sec. 1.6. What is an integrating factor?
L4: Thu, 8/31 Quiz: Sec. 1.3
Homework: Integrating factors, 1.6: #20, 23, 24, 39, 45
QUICK READ: Sec. 1.4. Identify an autonomous (vs. non-autonomous) ODE.
L5: Tue, 9/5 Quiz: Sec. 1.6
Homework: Dir. fields and Exist. & Unique, 1.4: #2, 4, 6, 1.4.1.1, 1.4.1.2
QUICK READ: Sec. 5.2. Stable vs. unstable equilibrium?
L6: Thu, 9/7 Quiz: Sec. 1.4
Lab: Direction Fields. Problems. Solutions.
Homework: Autonomous ODEs (Secs. 5.1-5.3 w/o 5.2.3 & 5.2.4) 5.3: #1, 4, 7, 12, 14, 17
QUICK READ: Sec. 1.5. Formula for tangent line.
L7: Tue, 9/12 Quiz: Sec. 5.3
Homework: Euler method 1.5: #1, 3
QUICK READ: Sec. 1.8. What is the doubling time and half life
L8: Thu, 9/14 Quiz: Sec. 1.5
Lab: Autonomous ODEs. Problems. Solutions.
Homework: Exp grown and decay can be started but due next lecture.
L9: Tue, 9/19 Quiz: Sec. 1.8
Homework: Exp growth and decay. 1.8: #9, 10, 15, 19a, 20a
QUICK READ: Sec. 1.9. Relation between concentration, quantity and amount.
L10: Thu 9/21 Exam 1: Solutions
L11: Tue, 9/26 Quiz: none
Homework: Mixture Problems. 1.9: #1, 5a, 10
QUICK READ: Sec. 2.5 Hooke's Law
L12: Thu, 9/28 Quiz: Sec. 1.9
Lab: Euler numerical method Problems. Solutions.
Homework: 2nd-O ODEs: Solutions. 2.1: #3, 7, 10
Homework: Wronskian. 2.2: #5, 11, 14
QUICK READ: Sec. 2.4. What is the characteristic equation?
L13: Tue, 10/3 Quiz: Sec. 2.1
Homework:2nd O Linear Constant Coeff. 2.4: #1, 5, 9, 13, 17, 21, 23, 25, 41, 43
QUICK READ: Sec. 2.4. What is Euler's formula?
L14: Tue, 10/5 Quiz: Sec. 2.4 (real & real-repeated)
Homework: nth-O Linear Constant Coeff. 2.4.1: #51, 56, 59, 69, 71, 76
Lab: Logistic Equation Problems. Solutions.
QUICK READ: Sec. 2.5. Under, over, critcal damping
L15: Thu, 10/12 Quiz: Sec. 2.4 (complex-conjugate)
Homework: 2.5.(1,2): #11, 13, 15, 23, 29
QUICK READ: Sec. 2.6. When can the Method of Undetermined Coefficients be used?
L16: Tue, 10/17 Quiz: Sec. 2.5
Homework: 2.6: #15, 19, 67, 68, 69, 111
QUICK READ: Sec. 2.6. What is superposition?
L17: Thu, 10/19 Quiz: none
Homework:
2.6: #15, 19, 67, 68, 69, 111
Lab: Damped Mass-spring Problems. Solutions.
QUICK READ: Sec. 2.7. What is resonance?
L18: Tue, 10/24 Quiz: Sec. 2.6
Homework: Mass Spring: Forced response. 2.7: #9, 10, 17 and also 2.8 #1, 10
QUICK READ: Sec. 2.9. What is the form of an Euler Equation?
L19: Thu 10/26 Exam 2
L20: Tue 10/31 Quiz: none
Homework: Euler Equation.2.9:#1, 3, 5, 8, 11
QUICK READ: Sec. 2.10. What is variation of parameters?
L21: Thu 11/2 Quiz: 2.9
Homework: Variation of Parameters.2.10: #9, 15, 21
Lab: Forced Mass-spring Problems. Solutions.
QUICK READ: Sec. 3.1. What is a Laplace Transform?
28: Quiz: none
Homework: Review
Monday, 12/11 Final: 8:00-11:00pm

### Previous Exams

Note to the student

Below are exams previously given by me in math 3313 (previously numbered math 2343). They are provided here as a study aid and as an additional source of practice problems. Students should first study all homework, classroom and book examples before working the exams.

The student should not assume that future exams will be just like the previous exams. Presentation style, topics covered, subjects emphasized and the phase of the moon are just some of the factors that will cause exams to differ from semester to semester. Bottom line: DO NOT USE THESE PREVIOUS EXAMS AS A SUBSTITUTE FOR THOROUGH AND COMPREHENSIVE STUDYING!

Solutions to the previous exams are not provided. In many cases, checking your own work will suffice to verify the correct answer. You are welcome to show your work to me if you have questions or would like to verify your answers.