# Leigh L. Noble, PhD

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/

West Point, NY 10996-1905

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

Links that leave the usma.edu domain are indicated by being typed out and open in a new window. The owners of those domains are responsible for their contents.

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 y1(x)×u(x)=y2(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 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.