You've reached the MA366 Page at the **USMA** Dept of
**Mathematical Sciences**.

This URL: http://www.math.usma.edu/people/Noble/Courses/Spring07/MA366/

**Instructor's Homepage:**
http://www.math.usma.edu/people/Noble/

** Mailing Address:**

United States Military Academy

646 Swift Road, MADN-MATH

West Point, NY 10996-1905

**EMAIL:**
**leigh.noble@usma.edu**
**PHONE:** (845) 938-2413
**OFFICE:** TH224 Thayer Hall
**DEPT FAX:** (845) 938-2409

This is the course HOMEPAGE for *MA366: Vector
Calculus & Intro to Partial Differential Equations for
Environmental
Engineers*.

**ROOM:** TH 308
**DATES:** 1-days
**TIME:** 1350--1445 (E hour)

**Course Syllabus:** (includes Outline of Instruction) **HTML** (opens in new
window) or **PDF
**format

**Outline of Instruction:** **HTML**
(opens in new window) or PDF (coming soon)

**Remaining Due Dates:**

Date | Lsn | Event | |
---|---|---|---|

May 17 | xx | TEE: 0735--1105 in TH472 |

**Topics for First Test:**

Zill section and reading | Basic description of topic | Homework problems |
---|---|---|

Section 1.1, pp 2--9 | Classification by linearity, type, order | p. 10 (10, 35, 48) |

Section 1.2, pp 13--16 | Existence and uniqueness of solutions to 1st order IVP, interval of definition | p. 16 (6, 12, 39, 40) |

Chapter 1, worksheet | Review | p. 34 (22, 24) |

Section 2.2, pp 49--54 | First Order Separable DEs | p. 54 (5, 15, 16, 30) |

Section 2.3, pp 57--64 and worksheet | First Order DEs by Integrating Factors | p. 65 (6, 26) and Handout (6, 8, 18, 20) |

Section 2.4, pp 67--top 71 and worksheet | M(x,y)dx + N(x,y)dy = 0 Exact Equations | p. 73 (2, 4, 10, 16, 22) |

Section 2.5, pp 75--78 OR Handout | M(x,y)dx + N(x,y)dy=0 using v=y/x substitution | p. 78 (2, 4, 6, 10, 12) |

Section 4.1, pp 127--134 and worksheet | Basic theory of IVP/BVP and Fundamental set of solutions | p. 137 (2, 4, 14, 18, 26, 30, 36) |

Section 4.2, pp 139--141 and worksheet | Given 1 solution, find 2nd solution by reduction
of order (with a substitution
y_{1}(x)×u(x)=y_{2}(x)) |
p. 141 (2, 4, 6) |

Section 4.3, Handout | Solve ay'' + by' + cy = 0 by recognizing 3 cases from the auxillary equation | Handout (2, 6, 11, 18, 20, 26) |

Section 4.4, Handout | Solve ay'' + by' + cy = g(x) by undetermined coefficients (see also Table 4.1 in Zill p. 154) | Handout (4, 8, 10, 14) |

You may also be interested in the Review for WPR 1.

**Handout Materials for Second Test:**

Lesson 15 Fourier
Series

Fourier
Series Handout Answer to Even Problems

Lesson 16 Fourier
Series

Lesson 18
Summary for WPR 2 and Solutions
for Summary for Sample Problems on Summary for WPR2
worksheet

**Handout Materials for Third Test:**

Lesson 22 Intro to Vector Calc Block: Vector
Fields and Line
Integrals

Lesson 23 Line Integrals: Lesson
Objectives and Class
Worksheet

Lesson 24 Green's Theorem: Lesson
Objectives and Class
Worksheet

Lesson 27 Curl and
Divergence and Stokes'
Theorem

Lesson 29 The Divergence Theorem Lesson
Objectives and Class
Worksheet

**Handout Materials for Laplace Transforms:**

Lesson 35 Definition of Laplace Transform Lesson
Objectives and Class
Worksheet

Lesson 36 Inverse of Transform and Transform of Derivatives Lesson
Objectives and Class
Worksheet

This page maintained by Leigh Noble and last updated May 8, 2007. This page has not been endorsed by the US Military Academy or the US Government and neither entity is responsible for the content. Leigh Noble is solely responsible for the content.