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Syllabus: Click here for details in a PDF file

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Course: Math 111, Ordinary Differential Equations, MWF 11:00am RHN 105

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Texts: (1) Elementary Differential Equations & Boundary Value Problems (9th Ed) by Boyce and Diprima

bullet Course Description: An introduction to the general theory and applications of differential equations. Linear systems, nonlinear systems, and stability. Prerequisite: Mathematics 32. (Students may not receive credit for both Mathematics 110 and 111.)
bullet Office Hours: MWF 10:00-11:00am @ Adams 206  and by appointment
bullet Grading: first midterm (20%), second midterm (20%), final exam(30%), class participation (5%), and hw & quiz (25%). The letter grade will be with an approximately 90(A)-80(B)-70(C)-60(D) scale.
bullet  Policy: NO make-up exams without doctor's excuse. Late Homework will be no credit.The HW problems need to be turned in. HW due every Wednesday in class. It includes all assignments given in theprevious week (Mon, Wed, Fri)
bullet Tentative Schedule: updated regularly

 

 

 

 


 


Monday Wednesday Friday
Sept 3 Sept 5 (Sept 4: Autumn Classes Begin)

Chapter 1:Introduction

1.1 Some Basic Mathematical Models; Direction Fields

Pendulum Waves:

http://www.youtube.com/watch?v=V87VXA6gPuE

Viscosity:

http://www.youtube.com/watch?v=k7ZZtxdtmeQ

Sept 7

HW 1.1: 11, 15-20

1.2 Solutions of Some Differential Equations

HW 1.2: 13,15

1.3 Classification of Differential Equations

Sept 10

1.3 Classification of Differential Equations

HW: 1.3:2,3,13,22,23,28
Sept 12

Chapter 2 Frist Order Differential Equations

2.1 Linear Equations; Method of Integrating Factors

HW 2.1: 6,10,15,18,30

Sept 14

2.2 Separable Equations

HW: 2,12(a,c),24,30

2.3 Modeling with First Order Equations


Sept 17 (Last day to add)

quiz: 1.1-1.3

2.3 Modeling with First Order Equations

HW2.3: 4,9,14,31(a-b)

2.4 Differences Between Linear and Nonlinear Equations

Sept 19

2.4 Differences Between Linear and Nonlinear Equations

HW 2.4: 2,7,14,22,31(see the hint in 27)

2.5 Autonomous Equations and Population Dynamics

 

 

Sept 21

2.5 Autonomous Equations and Population Dynamics

HW 2.5: 3,7,9,16,22

Sept 24

2.6 Exact Equations and Integrating Factors

HW 2.6: 10,13,15,28

Sept 26

2.6 Exact Equations and Integrating Factors

quiz: 2.1-2.3

Sept 28 i

3.1 Homogeneous Equations with Constant Coefficients

HW 3.1: 6,13,19,20

 

Oct 1

3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian

HW 3.2: 8,11,13

 

Oct 3

Review Section

Oct 5

First Exam: 1.1 - 2.6

 

Oct 8

3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian

HW 3.2: 23,25,31

 

Oct 10 (Low grade reports due to Registrar)

3.3 Complex Roots of the Characteristic Equation

HW 3.3: 2,3,4,15,16,20
Oct 12

3.4 Repeated Roots; Reduction of Order

HW3.4:3,11,20,25

Oct 15

3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients

HW 3.5: 4,5,20

 

Oct 17

3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients

HW 3.5: 14,15

3.6 Variation of Parameters

Oct 19

3.6 Variation of Parameters

HW 3.6: 2,5,14,17

quiz: 3.1-3.4

Oct 22 & 23 (Fall Break)

 

Oct 24 (Note: Oct 25, last day to drop)

3.7 Mechanical and Electrical Vibrations

http://phet.colorado.edu/sims/mass-spring-lab/mass-spring-lab_en.html

http://www.youtube.com/watch?v=_XTj_ePLvFI&feature=grec_index

HW: 3.7: 2,5,7,13

 

Oct 26

3.8 Forced Vibrations

http://en.wikipedia.org/wiki/Beat_(acoustics)

slides

HW 3.8: 5,7,10

Oct 29

3.8 Forced Vibrations

HW 3.8: 17, 19(a)

use calculators to help you with plotting...

Oct 31

quiz: 3.5-3.7

4.1 General Theory of nth Order Linear Equations

Nov 2

4.1 General Theory of nth Order Linear Equations

HW 4.1: 3, 7, 14, 26, 28

 

Nov 5

4.2 Homogeneous Equations with Constant Coefficients

Nov 7

4.2 Homogeneous Equations with Constant Coefficients

HW 4.2: 11,16,17,18,20
Nov 9

Second Midterm: Ch3

 

 


Nov 12

4.3 The Method of Undetermined Coefficients

HW 4.3: 2,11,14

 

Nov 14

4.4 The Method of Variation of Parameters

HW 4.4: 2,13

 

Nov 16

6.1 Definition of the Laplace Transform

HW 6.1: 11,15,23
Nov 19

6.2 Solution of Initial Value Problems

HW 6.2: 3,8,12,13,19,31

 

Nov 21

6.3 Step Functions

Nov 23 (Thanksgiving Recess)


Nov 26

HW 6.3: 12,21,24,25

Nov 28

6.4 Differential Equations with Discontinuous Forcing Functions

HW 6.4:2,4,5

Nov 30

 

 

6.5 Impulse Functions

HW 6.5: 8, 10, 16

Dec 3

6.6 The Convolution Integral

HW 6.6: 6,9,15


 

Dec 5

6.6 The Convolution Integral

7.1 Introduction  

HW 7.1:5,18,23

 

Dec 7

7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors

HW 7.3: 17,18

Dec 10

Final Exam: 11:00am

Dec 12

Guest Lecture

7.5 Homogeneous Linear Systems with Constant Coefficients


Dec 14 (Last day of classes)

Guest Lecture

7.6, 7.7

Dec 17

Final Exams Week

Dec 19

Final Exams Week

Dec 21

Final Exams Week

Dec 24


Dec 26 (Dec 27, grades due toRegistrar)


Dec 28