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MATH 2552, Sections F1 – F4; L1 – L4 Fall 2015 FINAL EXAM ..., Slides of Differential Equations

Georgia Institute of Technology. MATH 2552, Sections F1 ... Note that, for the Laplace transform, a formula sheet will be ... Linear First Order Equations.

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Georgia Institute of Technology
MATH 2552, Sections F1 – F4; L1 – L4
Fall 2015
FINAL EXAM INFORMATION
DON’T BE LATE!!! If you are late for the exam there will be no extra time awarded.
CRIB SHEET You are allowed to bring exactly this: one piece of paper (letter size, 8 ½in x 11in) with notes of
your choosing (yes, you can use both sides). Note that, for the Laplace transform, a formula sheet will be
provided (the same one as for Exam 2).
TOPICS TO FOCUS ON
Chapter 2 Topics:
Book
Chapter:
Practice Problems:
Separable Equations
2.1
HW 1 (Part I)
Quiz 1 & 4
Separable Equations: Losing Solutions
2.1
Worksheet 2
Linear First Order Equations
(Integrating Factors)
2.2
HW 1 (Part II)
Quiz 2, 3 & 4
Exact Equations
2.6
HW2
Quiz 2 & 4
Homogeneous & Bernoulli Equations
2.7
HW 3 & HW 4
Quiz 3 & 4
Autonomous Equations
2.5
HW 5
Additional Practice Problems:
§!Practice Problems for Exam 1
§!Exam 1 (Practice Exam 1, Actual Exam 1 – sections F & L)
Chapter 4 Topics:
Book
Chapter:
Practice Problems:
Higher Order Linear Equations
(Preliminary Theory and Definitions)
4.1
4.2
HW 6
Homogeneous Linear Equations with
Constant Coefficients
4.3
HW 7
Method of Undetermined Coefficients
4.5
HW 8
Quiz 5
Variation of Parameters &
Cauchy-Euler Equations
4.7
HW 10
Quiz 6
Additional Practice Problems:
§!Exam 2 (Practice Exam 2, Actual Exam 2 – sections F & L)
Sections F1 – F4:
TUESDAY 12/8
11:30AM – 2:20PM
Sections L1 – L4:
THURSDAY 12/10
11:30AM – 2:20PM
Howey L2
Early Exam Takers:
SATURDAY 12/5
2:00PM – 4:50PM
Clough Commons 144
pf2

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Georgia Institute of Technology MATH 2552, Sections F1 – F4; L1 – L Fall 2015 FINAL EXAM INFORMATION DON’T BE LATE!!! If you are late for the exam there will be no extra time awarded. CRIB SHEET You are allowed to bring exactly this: one piece of paper (letter size, 8 ½in x 11in) with notes of your choosing (yes, you can use both sides). Note that, for the Laplace transform, a formula sheet will be provided (the same one as for Exam 2). TOPICS TO FOCUS ON Chapter 2 Topics: Book Chapter: Practice Problems: Separable Equations 2.1 HW 1 (Part I) Quiz 1 & 4 Separable Equations: Losing Solutions 2.1 Worksheet 2 Linear First Order Equations (Integrating Factors) 2.2 HW 1 (Part II) Quiz 2, 3 & 4 Exact Equations 2.6 HW Quiz 2 & 4 Homogeneous & Bernoulli Equations 2.7 HW 3 & HW 4 Quiz 3 & 4 Autonomous Equations 2.5 HW 5 Additional Practice Problems: § Practice Problems for Exam 1 § Exam 1 (Practice Exam 1, Actual Exam 1 – sections F & L) Chapter 4 Topics: Book Chapter: Practice Problems: Higher Order Linear Equations (Preliminary Theory and Definitions)

HW 6

Homogeneous Linear Equations with Constant Coefficients

4.3 HW 7

Method of Undetermined Coefficients 4.5 HW 8 Quiz 5 Variation of Parameters & Cauchy-Euler Equations

4.7 HW 10

Quiz 6 Additional Practice Problems: § Exam 2 (Practice Exam 2, Actual Exam 2 – sections F & L) Sections F1 – F4: TUESDAY 12/ 11:30AM – 2:20PM CoC 16 Sections L1 – L4: THURSDAY 12/ 11:30AM – 2:20PM Howey L Early Exam Takers: SATURDAY 12/ 2:00PM – 4:50PM Clough Commons 144

Chapter 5 Topics: Book Chapter: Practice Problems: Properties of the Laplace Transform 5.

HW 12

Quiz 7 Inverse Laplace Transform 5.3 HW 13 Quiz 8 Solving ODEs with the Laplace Transform 5.4 HW 13 Laplace Transform of Discontinuous (Unit Step Functions) & Periodic Functions

5.5 HW 14

Quiz 9 ODEs with Discontinuous Forcing Functions 5.6 HW 15 Dirac Delta Function & Convolutions 5.

HW 16

Quiz 10 Solving Linear Systems with the Laplace Transform

HW 17 (A.)

Additional Practice Problems: § Exam 2 (Practice Exam 2, Actual Exam 2 – sections F & L) Chapter 6 Topics: Book Chapter: Practice Problems: Linear Systems of ODEs Preliminary Theory and Definitions

HW 18

Quiz 11 Homogeneous Linear Systems with Constant Coefficients: I. Distinct Eigenvalues (All Real) 6.3 HW 19 Quiz 11 II. Distinct Eigenvalues (With Complex) 6.4 HW 20 Quiz 12 III. Repeated Eigenvalues (2x2) 3.5 (6.7) HW 20 Quiz 12 Exponential of a Matrix 6.5 HW 21 Quiz 13 Nonhomogeneous Linear Systems (Variation of Parameters for Systems)

6.6 HW 21

Quiz 13 Bonus Topic: Practice Problems: Non-Standard Differential Equations (Non-Standard Substitutions) Lecture Notes 11/24/ Quiz 1 3 Worksheet 4