## Math 3313 Resources

## Lecture notes

## Computational resources

- Matlab at SMU
- Quick Matlab tutorial
- Online IDE
- GeoGebra Slope Field Plotter
- Blufton Univ. Slope and Direction Fields
## Matlab m-files

## Homework assignments

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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.

QUICK READ: Radioactive decayL9: 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 LawL12: 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 dampingL15: 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: Solutions 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: Sec. 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?L22: Tue 11/7 Quiz: Sec. 2.10

Homework: Laplace transforms.3.1.1: #5, 7, 15, 16, 18, 21, 22, 27, 28, 47, 48, 50, 54, 55, 64, 66

and (trig functions) 37, 43, 69, 71

QUICK READ: Sec. 3.2. Review partial fractions from calc II.23: Thu 11/9 Quiz: Sec. 3.1

Homework: Derivatives of Laplace transforms. 3.1.2: #82, 84, 88

Inverse tranforms. 3.2: #10, 22, 42, 49 and (trig functions) 14, 16, 35, 36, 52

QUICK READ: Sec. 3.3. What is the laplace transform of the derivative of x(t)?24: 11/14 Quiz: 3.2

Homework: Laplace of ODEs. 3.3: #1, 3, 5, 9, 10, 11, 19, 21

QUICK READ: Sec. 3.4. Why do we need the Heaviside function?25: 11/16 Quiz: 3.3

Homework: ODEs with discontinuous forcing. 3.4 (1), 3.4 (2): #2, 6, 16, 20, 24, 26, 28, 31, 36

QUICK READ: Sec. 3.6. What is the inverse Laplace transform of a product F(s)G(s)?25: 11/21 Quiz: 3.4

Homework: ODEs with discontinuous forcing. 3.4 (1), 3.4 (2): #2, 6, 16, 20, 24, 26, 28, 31, 36

QUICK READ: Sec. 3.7. How tall and wide is the Dirac Delta function27: 11/28 Quiz on 3.6 Homework: Convolution. 3.6: #1, 5, 7, 9

Dirac Delta. 3.7:#1, 3, 5

QUICK READ: none28: 11/30 Quiz: none

Homework: Review

QUICK READ: noneMonday, 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.

## Spring '10

## Fall '10

## Spring '12

## Fall '13