Sheldon H Lee

Graduate Teaching Assistant

 

Email:              lee@math.colostate.edu

Office:             Weber 10

Office Phone:  491-3955

Office Hours:  Mon 11 – 12, Tues 1 – 2, Thurs 12 – 1

 

Final Exam Solutions

correction: In #2, the answer should be (1/6)(2x^2 – 3)^(3/2)

 

Assignment Log (problems to be graded are underlined)

Ch. 

Page

Problems

Due Date

Hints/Solutions

5

65-66

1, 2, 3, 4, 6

Fri 9/1

 

6

90-93

1, 3, 4, 5, 7, 8, 11, 12, 13

Fri 9/1

Ch6HWHints.pdf, HW1 Solutions

7

108-110

1a, 1b, 2, 4

Fri 9/8

 

8

131-135

1, 2

Fri 9/8

HW2 Solutions

9

 

HW 3 Handout

Fri 9/15

HW3 Solutions

9,10

 

HW 4 Handout

Fri 9/22

HW4 Solutions

12

 

HW 5 Handout

Fri 10/6

HW5 Solutions

13

 

HW 6 Handout

Fri 10/13

HW6 Solutions

14

 

HW 7 Handout

Fri 10/20

HW7 Solutions

M

 

HW 8 Handout

Fri 10/27

HW8 Solutions

M

 

HW 9 Handout

Fri 11/10

HW9 Solutions

16

 

HW 10 Handout

Turn in: 3, 5, 6, 8, 10

Fri 11/17

HW10 Solutions

 

 

HW 11 Handout

Wed 12/6

HW11 Partial Solutions

 

Class Journal

Day

Topics Covered

Notes

Mon, 8/21

Introduction, 5.1 Malthusian Growth

 

Tues 8/22

5.2 Solutions to Differential Equations

 

Wed 8/23

6.2 Radioactive Decay

6.3 Newton’s Law of Cooling

6.2

6.3

Fri 8/25

6.1 Blood Pressure

6.4 Pollution in a Lake

6.1

6.4

Mon 8/28

6.4 Finished

 

Tues 8/29

7.2 Euler’s Method

7.2

Wed 8/30

7.3 Improved Euler’s Method, Quiz 1

7.3, Quiz1

Fri 9/1

Lab 1

Lab1.pdf, Lab1.xls

Tues 9/5

8.2, 8.3 Antideriviatives and Integrals

 

Wed 9/6

8.1 Falling Cat, Quiz 2

8.1, Quiz2

Fri 9/8

Ch. 8 Continued

Practice Problems

Mon 9/11

8.4 Lead Buildup

 

Tues 9/12

9.2 Separable Differential Equations, Modified Malthusian Growth

9.2 9.3

Wed 9/13

9.2 Continued, Quiz 3

Quiz3

Fri 9/15

9.3 Modified Malthusian Growth Model

9.3

Mon 9/18

10.2 Integration by Substitution

 

Tues 9/19

10.3, 10.4 Logistic Growth, Escape Velocity

10.3 10.4

Wed 9/20

10 Continued, Quiz 4

Quiz4

Fri 9/22

11 Numerical Integration

11

Mon 9/25

11 Numerical Integration continued

 

Tues 9/26

Review

 

Wed 9/27

Test #1

 

Fri 9/29

12 The Definite Integral

12

Mon 10/2

12 Continued

 

Tues 10/3

12 Continued

12 Practice Problems

Wed 10/4

Quiz 5, 13 Integration by Parts

Quiz5

Fri 10/6

13 Continued

 

Mon 10/9

Taylor Polynomials – Derivation

Taylor1

Tues 10/10

Taylor Polynomials – Examples

Taylor2

Wed 10/11

Quiz 6, Taylor Polynomials continued

Quiz6

Fri 10/13

14 Qualitative Analysis of Differential Equations

14

Mon 10/16

14 Continued

 

Tues 10/17

M.1 Functions of several variables

M.1

Wed 10/18

Lab 2

Lab2.doc

Fri 10/20

M.2 Graphs of functions of two variables

M.2

Mon 10/23

M.3 Vectors

M.3

Tues 10/24

M.3 continued

 

Wed 10/25

Quiz 7, M.4 Partial Deriviatives

M4, Quiz 7

Fri 10/27

M.5 Gradients

M5

Mon 10/30

M1 – M4 Practice Problems

Practice Problems

Tues 11/31

Review

 

Wed 11/1

Test 2

 

Fri 11/3

Met in Lab

 

Mon 11/6

M.5 Directional Deriviatives

M5

Tues 11/7

16 Lotka-Volterra Models

16

Wed 11/8

16 Lotka-Volterra Models

16 Continued

Fri 11/10

L.1 Matrices

L1.doc, L1.pdf

Mon 11/13

L.2 Solving Linear Systems

L2.doc, L2.pdf

Tues 11/14

L.3 The Inverse of a Matrix

L3.pdf

Wed 11/15

L.4 Applications of Linear Systems, Quiz 8

L4.pdf, Quiz 8

Fri 11/17

L.4 continued

 

Mon 11/27

L.5 Eigenvectors and Eigenvalues

L5

Tues 11/28

L.6 Discrete Dynamical Systems

L6

Wed 11/29

Lab 3

 

Fri 12/1

L.7 Applications to Differential Equations

L7

Mon 12/4

L.6, L.7 Continued

 

Tues 12/5

L.7 Continued

 

Wed 12/6

Quiz 9, Review

Quiz 9

Fri 12/8

Review, evaluations

 

 

 

Links

            Math Homepage

Selected Homework Solutions (Author’s homepage)

Course Syllabus (updated 10/16)

WebCT

            Sheldon Lee’s personal homepage

 

Older Materials

Final Exam Summary

Lab3.doc

Lab3a.m

Lab3b.m

Lab 2 Solutions

Test 2 Solutions

Review Sheet and Practice Problems for Test 2

Solutions for the above review sheet

Notes from hmc.edu on Taylor polynomials and multivariable calculus:

            Taylor polynomials

Lines, planes and vectors

Partial Deriviatives

            Tangent Plane Approximations

Lab 2.doc

Lab 1 Solutions

Test 1 Solutions

Review Sheet and Practice Problems for Test 1

Selected solutions for the above practice problems