Math 2410 Fall 2022 (Section 2)

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Math 2410 Fall 2022 (Section 2)

COURSE INFORMATION

Class: Elementary Differential Equations

Prerequisite : Calculus I and II.

Class Time:   Tue/Thur 12:30-1:45 (Monteith 320)

TEXT:  A First Course in Differential Equations with Modeling Applications, 11th  Edition.

CONTENTS: See syllabus below for the sections covered. In case we run short of time, Chapter 7 will be curtailed.

EXAMS:  There will be 2 Exams and a Final. Test dates depend on how the class progresses. Will try to tell you 10 days in advance. Tentatively, first Exam covers Chapters 1,2, 3, sections 4.1, 4.3; the second Exam on Chapters 4, 5, 7. Final may cover everything with emphasis on Chapter 8 and eigenvalue problems of a matrix.

HOMEWORK:  Through WebAssign which you can access through HuskyCT.

MAKE UP EXAMS:  Make-up exams will be given only in case of an excused absence (for example, a documented medical excuse or a conflicting University activity that cannot be rescheduled).

GRADING (tentative): HW 30%,  Each of the 2 Exams is 20%,  Final 30%.

DISCLAIMER  The  instructor   reserves  the   right  to  make  any  changes.  The  syllabus   below  is somewhat  ambitious,  and  some  material  may  be  skipped.  I  will  update  the  exact  syllabus  in HuskyCT as we go along.

Math 2410 Fall 2022 sec 002 (tentative) Syllabus for Zill (11e)

Week #

Section(s) Covered

Topic(s)

1

1.1

1.2

1.3

Definitions and Terminology

Initial-Value Problems

Differential Equations as Mathematical Models

2

2.1

2.2

Solution Curves without a Solution (Direction Fields/Autonomous) Separable Equations

3

2.3

2.4

Linear Equations

Exact Equations

4

2.6

3.1 3.2

A Numerical Method (Euler’s Method)

Linear Models

5

3.3

 

4.1

Nonlinear Models

Modeling with Systems of First-Order Equations

Preliminary Theory- Linear Equations

6

4.1

4.3

 

Homogeneous Linear Equations with Constant Coefficients

7

Exam 1

4.4

Covers 1.2, 2.1-2.4, 4.1, 4.3

Undetermined Coefficients- Superposition Approach

8

4.6

5.1

7.1

Variation of Parameters

Linear Models: Initial-Value Problems (Spring/Mass Systems) Definition of the Laplace Transform

9

7.2

7.3

Inverse Transforms and Transforms of Derivatives

Operational Properties I

10

7.4

Exam 2

Operational Properties II

Covers 4.1, 4.3, 4.4, 4.6, 5.1, 7.1-7.4

11

B.1

B.2

B.3

Basic Definitions and Theory

Gaussian and Gauss-Jordan Elimination

The Eigenvalue Problem

12

8.1

8.2

Preliminary Theory- Linear Systems

Homogeneous Linear Systems

13

8.2

Review for Final

(continued)

Cumulative

 


2023-10-19