Date

Topic

Reading

Assignment

1/24

Differential equations and mathematical models

1.1

p. 8 #1, 4, 5, 10, 17, 20, 23, 34, 35

1/25

Introduction to lab room and ODEA

Travel brochure

Book tickets spring break in Lauderdale

1/25, 1/26

Integrals as general and particular solutions

1.2

p.17 #1, 5, 7, 8, 13, 25, 26, 31, 35

1/28, 1/31

Separable equations and applications

1.4

p.43 #1, 7, 10, 13, 19, 23, 26, 33, 37, 40, 43

2/1

Modeling with ODE Architect

Chapter 1 ODEA

Exploration 1.1 (due the next Thursday, as are all labs)

2/2, 2/4

First-order linear equations

1.5

p. 56 # 1, 4, 9, 12, 13, 15, 27, 33, 34, 37

p. 78 # 1, 5, 13

2/7 & 2/9

Substitution methods and exact equations

1.6

p.74 #1, 5, 10, 31, 35

p.78 #3, 7, 17

2/8

Solving a differential equation

ODEA Chapt 2

Exploration 2.1 problems 1 and 2: Constants of integration

2/11,

Slope fields and solution curves

1.3

p.27 #1, 2, 7, 9

Photocopy the slope fields and draw sketches on these.

2/14, 2/16

Numerical approximation: Euler's method

2.4

p.121 #5, 17

2/15

Some cool ODE's (A dead body)

ODEA Chapt 3

Exploration 3.1 , Problem 2

2/18

Extended Euler's method

2.5

The Runge-Kutta method

2.6

p.142 #5, 17

2/25(Fri)

Exam #1 on sections 1.1, 1.2, 1.4, 1.5,1.6, 1.3

2/23

Equilibrium solutions and stability

2.2

p.98 #1, 3, 6, 8, 9, 11, 13, 14, 21. In 1-11 do not solve for x(t) explicitly. Find lim x(t) as t goes to infinity, assuming x(0)=4.

3/1

Slope fields

ODEA Chapt 2

Exploration 2.2, Prob 1 and 2.

2/28, 3/2

Population models

2.1

p.87 #10, 11, 13, 22, 27

3/4, 3/7

Acceleration Velocity models

2.3

p.108 #1,2,3,7,10

3/8

Logistic Model

ODEA Chapt 9 155-158

Exploration 9.1 , Prob. 1,2,3

3/9, 3/11

Introduction: Second-order linear equations

General solutions of linear equations

3.1

3.2

p.158 #3, 9, 33-41 odd

p.170 # 1, 3, 13, 15

3/21 & 3/22, 3/23

General solutions of linear equations

Homogeneous equations w. constant coefficients

3.2

3.3

p.171 #21, 23

p.183 #1-15 odd, 25, 27, 29

3/22

Harvesting a natural resource

ODEA Chapt 9 155-158

Exploration 9.2, Prob 1,2,3

3/25& 3/28

Nonhomogeneous equations

3.5

p. 210 #1,3,7,9,10,24, 27, 31, 34, 47, 49, 52

3/29 & 3/30

Mechanical vibrations

3.4

p.195 #1, 3, 4, 15, 17, 20

4/1 & 4/4

Forced oscillations and resonance

3.6

p.222 #1, 8, 11, 17, 19

4/5

Response to the forcing frequency

ODEA Chapter 4

Exploration 4.2 ; Prob 1,2,3

4/6 (changed)

Exam # 2 on sections 1.6, 2.1-2.4, 3.1, 3.2,3.3 ?

4/8

Electrical Circuits

3.7

p.231 #1,5,7,11

4/11

First-order systems and applications

4.1

p.255 #1, 5, 7, 11, 14, 24, 26

4/12

Tracking Pollution

ODEA Chap 8 (135-137)

Exploration 8.1, Prob 1,2,3

4/13

Method of Elimination

4.2

p. 266 #1-5(odd), 9, 23-27 (odd)

4/15 & 4/19

Laplace transforms and inverse transforms

7.1

p.450 #1, 7, 11-15 odd, 23-31 odd

4/20 & 4/22

Transformation of initial value problems

7.2

p.462 #1-11 ( odd)

4/26

First order linear systems (Interconnected Water Tanks)

ODEA Chap 6 (93-96)

Exploration 6.3 1,2,3

4/25

Translation and partial fractions

7.3

p.472 #1-15 odd, 27, 29, 31.

4/28 (Thurs a Fri sched)

Exam # 3 on sections 3.1 - 3.7,4.1, 4.2, 7.1, 7.2

5/2 & 5/4

Products of transforms

7.4

p. 481 # 1, 6,7,8,37

5/3

Compartment models (DE's, Drugs and GI tracts (no rock and roll))

ODEA Chap 8 (137-139)

Exploration 8.2 () 1,2

5/6

Periodic and piecewise continuous input functions

7.5

p. 491 # 1, 5, 9, 13, 17, 31, 33

5/9

Impulses and delta functions

7.6

p. 502 # 1, 7,15

Registrar's Choice

Final Exam

All chapters covered