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/

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

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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

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)

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 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.