Math 334: Differential Equations, Linear Algebra, and
Probability and Statistics

Spring Semester 2003

Monday

Tuesday

Wednesday

Thursday

Friday

Jan 13 Lesson: Differential Equations Review

Jan 14 Lesson: Differential Equations Review

Reading: Sections 1.1 - 1.3

Homework 1:
Section 1.1: 23, 26, 27
Section 1.2: 2, 6, 7, 13-18, 19, 25, 27
Due: 17 Jan

Jan 15 Lesson: Differential Equations Review

Reading: Sections 1.5

Homework 2:
Section 1.3: 1, 2, 7, 9, 11, 15, 19-24, 55
Section 1.5: 1, 10-13, 19, 22
Due: 23 Jan

Jan 16 Lab 1: Numerical Methods for Solving Differential Equations

Reading: Section 1.4

Jan 17 Lesson: Calculators: Slope fields and Solving ODEs

Due Today:
Homework 1

Jan 20 Martin Luther King Day

No Class

Jan 21 Lesson: Linear and Nonlinear ODEs

Reading: Sections 2.1, 2.2

Study Session: 6:30 - 7:30

Jan 22 Lesson: Integrating Factors

Reading: Section 2.2

Jan 23 Lab: Single Species Population Models

Due Today:
Homework 2

Reading: Sections 2.3 - 2.5

Jan 24 Lesson: Integrating Factors

Reading: Section 2.2

Homework 3:
Section 2.1: 1-10, 11, 12
Section 2.2: 16, 22, 23, 45, 46
Section 2.3: 13, 14, 33
Section 2.5: 1-4, 7
Due: 30 Jan

Jan 27 Lesson: Linear Algebra Review

Reading: Sections 3.1 - 3.4

Jan 28 Lesson: Linear Algebra Review

Reading: Sections 3.1 - 3.4

Handout: Linear Algebra Review Sheet

Study Session: 6:30 - 7:30

Jan 29 Lesson: Review

Jan 30 EXAM 1

Due Today:
Homework 3

Jan 31 Lesson: Linear Algebra Review

Reading: Sections 3.1 - 3.4

Feb 3 Lesson: Vector Spaces

Reading: Section 3.5

Suggested Problems:
Section 3.1: 1, 3, 13
Section 3.2: 5, 6
Section 3.3: 15

Feb 4 Lesson: Vector Spaces

Reading: Sections 3.5 - 3.6

Homework 4:
Section 3.1: 7, 8, 29
Section 3.2: 1, 32, 33, 36, 44
Section 3.3: 14, 23
Section 3.4: 17, 18
Section 3.5: 11-13, 25, 34, 37, 59
Due: 12 Feb

Study Session: 6:30 - 7:30

Feb 5 Lesson: Vector Spaces

Reading: Section 3.5

Feb 6 Lab 3: Linear Algebra Basics

Feb 7 Lesson: Vector Spaces

Reading: Section 3.6

Extra: Vector Space Note Sheet

Feb 10 Lesson: Spanning Sets

Reading: Section 3.6

Feb 11 Lesson: Basis and Dimension

Reading: Section 3.6

Homework 5:
Section 3.6: 1, 2, 7, 8, 20, 35, 36, 42
Due: 14 Feb

Study Session: 6:30 - 7:30

Feb 12 Lesson: Harmonic Oscillation

Due Today:
Homework 4

Reading: Section 4.1

Feb 13 Lab 4: Beats and Resonance

Based on: Sections 4.1- 4.5

Feb 14 Lesson: Nature of Solutions: Real

Reading: Section 4.2

Due Today:
Homework 5

Feb 17 Presidents Day

No Class

Feb 18 Lesson: Nature of Solutions: Complex

Reading: Section 4.3

Homework 6
Section 4.1: 1, 2, 21, 22, 27, 28
Section 4.2: 1, 6, 10, 15, 21-27, 28, 30, 33
Section 4.3: 1, 4, 8, 13, 20-27
Due: 26 Feb

Study Session: 6:30 - 7:30

Feb 19 Lesson: Review

Feb 20 EXAM 2

Feb 21 Lesson: 2nd Order Homogeneous DEs

Feb 24 Lesson: Undetermined Coefficients

Reading: Section 4.4

Handout: Undetermined Coefficients

Feb 25 Lesson: Undetermined Coefficients

Reading: Section 4.4

Homework 7:
Section 4.4: 1, 2, 6, 9, 17, 18, 23, 27
Due: 3 Mar

Feb 26 Lesson: Forcing Functions

Due Today:
Homework 6

Reading: Section 4.5

Homework 8:
Section 4.5: 12, 13, 15
Due: 4 Mar

Feb 27 Lab 7: Linear Transformations

Reading: Section 5.1

Feb 28 Lesson: More Fun with Transformations

Reading: Section 5.1

Suggested Problems
Section 5.1: 24-26
Section 5.2: 2, 22, 24 find kernel, image, and dimension of kernel only
Solns posted 5 Mar

Mar 3 Lesson: Linear Systems of DEs

Due Today:
Homework 7

Reading: Section 6.1

Handout: Project 1
Due: 19 Mar - Part I
26 Mar - Part II

Mar 4 Lesson: Real Eigenvalues

Due Today:
Homework 8

Reading: Section 6.2

Mar 5 Lesson: Complex Eigenvalues

Reading: Section 6.3

Mar 6 Lab 5: Linear Systems

Reading: Sections 6.1 - 6.3

Homework 9:
Section 6.1: 11, 12, 15, 23-26
Section 6.2: 1-4, 15-17
Section 6.3: 1-4, 13, 14
Section 6.5: 1-6, 7, 8, 10, 12
Due: 21 Mar

Mar 7 Lesson: Stability Analysis

Reading: Section 6.5

Mar 10 Spring Break

Campus Closed

Mar 11 Spring Break

Campus Closed

Mar 12 Spring Break

Campus Closed

Mar 13 Spring Break

Campus Closed

Mar 14 Spring Break

Campus Closed

Mar 17 Lesson: Stability Analysis

Reading: Section 6.5

Mar 18 Lesson: Stability Analysis

Reading: Section 6.5

Mar 19 Lesson: Review and Linearization

Due Today:
Project 1, part I

Reading: Section 8.1

Mar 20 Lesson: Work on Projects

Mar 21 Exam 3

Due Today:
Homework 9

Mar 24 Lesson: Introduction to Probability and Statistics

Book Switch: Applied Statistics and Probability
Reading: Chapter 1

Mar 25 Lesson: Statistical Modeling

Reading: Section 2.1

Mar 26 Lesson: Sample Spaces and Events

Due Today:
Project 1, part II

Reading: Section 2.2

Mar 27 Lesson: Probability Rules

Reading: Sections 2.3

Homework 10:
Section 2.1: 1, 11, 19, 21, 28
Section 2.2: 34, 35, 45, 47
Due: 31 Mar

Mar 28 Lesson: Conditional Probability

Reading: Sections 2.4

Homework 11:
Section 2.3: 49, 51, 52
Section 2.4: 57, 58, 62
Due: 1 Apr

Mar 31 Lesson: Total Probability

Due Today:
Homework 10

Reading: Section 2.5

Apr 1 Lesson: Independence

Due Today:
Homework 11

Reading: Section 2.6

Homework 12:
Section 2.5: 70, 71, 73, 74
Section 2.6: 81-83, 86, 87, 90, 91
Due: 4 Apr

Apr 2 Lesson: Bayes' Theorem

Reading: Section 2.7

Apr 3 Lesson: Random Variables

Reading: Section 2.8

Homework 13:
Section 2.7: 94, 95, 99
Section 2.8: 100
Supplemental Problems (p. 55): 104, 108, 109, 112, 115, 121, 125
Due: 7 Apr

Apr 4 Lesson: Discrete Random Random Variables

Due Today:
Homework 12

Reading: Section 3.1

Apr 7 Lesson: Putting it Together

Due Today:
Homework 13

Reading: Sections 2.1 - 2.8

Apr 8 Lesson: Probability Worksheet

Reading: Sections 2.1 - 2.8

Apr 9 Lesson: Review

Apr 10 Exam 4

Covering: Chapters 1 and 2

Apr 11 Lesson: Discrete RVs: PMD and CDF

Reading: Sections 3.1 - 3.3

Homework 14:
Section 3.1: 1, 2, 4, 5
Section 3.2: 15, 16, 20, 21
Section 3.3: 27, 30, 33
Due: 16 Apr

Apr 14 Lesson: Discrete RVs: Mean and Variance

Reading: Section 3.4

Apr 15 Lesson: Bernoulli and the Binomials

Reading: Sections 3.5 - 6

Apr 16 Lesson: Binomial Distribution

Due Today:
Homework 14

Reading: Section 3.6

Homework 15:
Section 3.4: 37, 39, 42, 45
Section 3.5: 46, 48, 52
Section 3.6: 55, 56, 57, 59, 64, 66, 67, 69
Due: 23 Apr

Apr 17 Lesson: Continuous RVs: PDF and CDF

Reading: Sections 4.1 - 4.3

Handout: Project 2
Due: 5 May

Apr 18 Good Friday

Apr 21 Easter Monday

Apr 22 Lesson: Continuous RVs: Mean and Variance

Reading: Section 4.4

Apr 23 Lesson: Continuous RVs: Uniform Distribution

Due Today:
Homework 15

Reading: Section 4.5

Homework 16:
Section 4.2: 1, 2, 5, 6, 7
Section 4.3: 13, 16
Section 4.4: 22, 24, 27
Section 4.5: 31, 33, 35, 36
Section 4.6: 40, 42, 47, 51, 57
Due: 30 Apr

Apr 24 Lesson: Work on Projects

Apr 25 Lesson: The Normal Distribution

Reading: Section 4.6

Apr 28 Lesson: The Normal Distribution

Reading: Section 4.6

Apr 29 Lesson: Data Collection and Analysis

Reading: Sections 6.1, 6.5

Apr 30 Lesson: Statistical Inference

Due Today:
Homework 16

Chapter 6 Homework:
Section 6.1: 2, 7, 8ab, 11
Section 6.5: 43, 44
Solutions Posted: 2 May

May 1 Lesson: Work on Projects

May 2 Lesson: Review

Reading: Handout

FINAL EXAM PERIOD: Monday May 5
10:00 - 11:45
Exam 5
Project 2 Due


mark parker
Last modified: 1 May 2003