MATH 241: CALCULUS III (An Introduction to Multivariable Calculus)

--Section 03xx

Fall 2017

Instructor: Dionisios Margetis

LARGE LECTURES: MWF, 11:00am -- 11:50am; Room: ARM 0126

Instructor's office hours: Mon & Wed, 12:00pm -- 12:50pm (after lecture); or by appointment.
Regular office hours will start on Wed Sept. 6



Teaching Assistants (TAs)/Section Leaders & Sections:
(All sections are held on Tuesdays and Thursdays.)
  • Raymond Schram (rschram1@math): Secs. 0311 (10am, MTH0402) & 0321 (11am, MTH1308)

  • Yousheng Shi (yshi1235@math): Secs. 0312 (10am, MTH0409) & 0322 (11am, MTH0303)

  • Amit Nag (nag.amitis@gmail.com): Sec. 0331 (12noon, PHY0405) & 0341 (1pm, MTHB0423)

  • Jesse Milzman (jmilzman@math): Sec. 0332 (12noon, JMP2202) & 0342 (1pm, MTHB0425)
    For more information on TAs see below.
  • The discussion sections will start regularly on Tuesday, August 29

    FINAL EXAM: Wedneday, Dec. 13, 1:30pm-3:30pm. Room TBA for each section.

    Textbook for main lectures:

    Calculus ; authors: R. Ellis & D. Gulick; 6th Edition, Thomson Publishing, 2003.

    Short Syllabus and Detailed Course Policies (PDF)

    For detailed syllabus see the Mathematics Department webpage

    Teaching Assistant (TA) Information


    RECOMMENDED HOMEWORK ASSIGNMENTS:

  • Homework Assignment #1, Fri Sept. 1:
    Sec. 11.1: Probs. 4, 7, 9, 10, 14, 21
    Sec. 11.2: Probs. 4, 9, 10, 13, 16, 19, 23, 27
    Sec. 11.3: Probs. 2, 5, 7, 10, 11, 15, 19, 28, 33
    Sec. 11.4: Probs. 2, 5, 10, 11, 13
    Sec. 11.5:Probs. 2, 5, 8, 9, 12, 13, 18

  • Homework Assignment #2, Fri Sept. 8:
    Sec. 11.6: Probs. 1, 5, 6, 7, 8, 9, 13, 17, 21, 27, 31
    Sec. 12.1: Probs. 15, 21, 23, 32
    Sec. 12.2: Probs. 4, 6, 9

  • Homework Assignment #3, Fri Sept. 15:
    Sec. 12.3: Probs. 1, 5, 17, 19, 23, 31, 33, 39
    Sec. 12.4: Probs. 7, 11, 14, 21, 25, 28, 31
    Sec. 12.5: Probs. 2, 5, 9, 11, 14, 19, 22, 30

  • Homework Assignment #4, Fri Sept. 22:
    Sec. 12.6: Probs. 2, 5, 9, 11, 18, 21, 27
    Sec. 13.1: Probs. 4, 9, 15, 17, 19, 27, 31, 37, 43, 45, 55, 61, 68

  • Homework Assignment #5, Fri Sept. 29:
    Sec. 13.2: Probs. 11, 13, 14, 16, 29
    Sec. 13.3: Probs. 4, 5, 7, 11, 19, 23, 29, 33, 34, 45, 53
    Sec. 13.4: Probs. 1, 7, 11, 15, 23, 25, 35
    Sec. 13.5: Probs. 1, 3, 7, 9, 13, 16

  • Homework Assignment #6, Fri Oct. 6:
    Sec. 13.6: Probs. 1, 5, 7, 11, 15, 21, 24, 39
    Sec. 13.7: Probs. 1, 4, 9, 11, 13, 21, 24
    Sec. 13.8: Probs. 1, 3, 7, 12, 17, 29, 40

  • Homework Assignment #7, Fri Oct. 13:
    Sec. 13.9: Probs. 1, 5, 7, 9, 11, 13, 15, 24, 28

  • Homework Assignment #8, Fri Oct. 20:
    Sec. 14.1: Probs. 5, 7, 9, 15, 21, 23, 24, 30, 34, 37, 39, 47, 54, 58, 62
    Sec. 14.2: Probs. 3, 4, 9, 12, 15, 25
    Sec. 14.3: Probs. 1, 3, 7, 10

  • Homework Assignment #9, Fri Oct. 27:
    Sec. 14.4: Probs. 1, 5, 11, 15, 23, 29
    Sec. 14.5: Probs. 5, 7, 9, 15, 16, 19, 23, 29, 33
    Sec. 14.6: Probs. 1, 2, 5, 9, 11, 16, 19, 25

  • Homework Assignment #10, Fri Nov. 3:
    Sec. 14.8: Probs. 17, 19, 21, 26
    Sec. 14.9: Probs. 1, 3, 5, 9, 13, 21, 23

  • Recomm. Homework Assignments from Chapter 15:
    Sec. 15.1: Probs. 3,7,15,17,19,24,25,27.
    Sec. 15.2: Probs. 1,3,8,9,11,19,25.
    Sec. 15.3 : Probs. 1,3,5,7,8.
    Sec. 15.4 : Probs. 4,7,9,13,16,20.
    Sec. 15.5: Probs. 2,3,5,7,12,14.
    Sec. 15.6 : Probs. 5,7,10,12,13,15
    Sec. 15.7 : Probs. 5,7,9,11,15,19.
    Sec. 15.8: Probs. 11,13,15,17,19,21,23.


    EXAMS:

  • Practice Exam 1

  • Exam 1, September 25

    Solutions to Exam 1, September 25

  • Exam 2, October 23

    Solutions to Exam 2, October 23

  • Exam 3, November 15

    Solutions to Exam 3, November 15

  • Exam 4, December 8

    Solutions to Exam 4, December 8


    LECTURES:

  • Lecture 1, Mon. Aug. 28:
    Sec. 11.1 from text: Cartesian coordinate system.
    Sec. 11.2: Definition of vector.

  • Lecture 2, Wed. Aug. 30:
    Sec. 11.3: Dot product.

  • Lecture 3, Fri. Sept. 1:
    Sec. 11.4: Cross product of vectors
    Sec. 11.5: Lines in space: Description

  • Lecture 4, Wed. Sept. 6:
    Sec. 11.5 (continued): Lines in space: Distance of point from line; examples.
    Sec. 11.6: Planes in space.

  • Lecture 5, Fri. Sept. 8:
    Review Problems on Chap. 11.

  • Lecture 6, Mon. Sept. 11:
    Sec. 12.1: Vector-valued functions: Definitions and examples.
    Sec. 12.2: Limits and continuity.

  • Lecture 7, Wed. Sept. 13:
    Sec. 12.2: Limits and continuity (cont.).
    Sec. 12.3: Derivatives and integrals.

  • Lecture 8, Fri. Sept. 15:
    Sec. 12.4: Curves in space and their lengths.

  • Lecture 9, Mon. Sept. 18:
    Sec. 12.5: Tangents and normals.

  • Lecture 10, Wed. Sept. 20:
    Sec. 12.6: Curvature: An introduction (NOT IN EXAMS).
    Review problems on Chap. 12.

  • Lecture 11, Fri. Sept. 22:
    Sec. 13.1: Functions of several variables: An introduction.
    Sec. 13.2: Limits and continuity.

  • Mon. Sept. 25:
    IN-CLASS EXAM 1

  • Lecture 12, Wed. Sept. 27:
    Sec. 13.3: Partial derivatives.

  • Lecture 13, Fri. Sept. 29:
    Sec. 13.4 : Chain Rule

  • Lecture 14, Mon. Oct. 2:
    Sec. 13.5: Directional Derivative.
    Sec. 13.6: Gradient.

  • Lecture 15, Wed. Oct. 4:
    Sec. 13.7: Tangent plane approximation

  • Lecture 16, Fri. Oct. 6:
    Sec. 13.8: Extreme values.

  • Lecture 17, Mon. Oct. 9:
    Sec. 13.8: Extreme values: More problems

  • Lecture 18, Wed. Oct. 11:
    Sec. 13.9: Lagrange multipliers: Basic theory and examples

  • Lecture 19, Fri. Oct. 13:
    Sec. 13.9 (cont.): Lagrange multipliers: problems

  • Lecture 20, Mon. Oct. 16:
    Review problems on Chap. 13.

  • Lecture 21, Wed. Oct. 18:
    Sec. 14.1: Double integrals: an introduction

  • Lecture 22, Fri. Oct. 20:
    Sec. 14.1: Double integrals (cont.)

  • Mon. Oct. 23:
    IN-CLASS EXAM 2

  • Lecture 23, Wed. Oct. 25:
    Sec. 14.2: Polar coordinates
    Sec. 14.3: Surface area

  • Lecture 24, Fri. Oct. 27:
    Sec. 14.4: Triple integrals: Introduction and examples

  • Lecture 25, Mon. Oct. 30:
    Sec. 14.5: Cylindrical coordinates

  • Lecture 26, Wed. Nov. 1:
    Sec. 14.6: Spherical coordinates
    Sec. 14.7: Moments and centers of gravity: an introduction (NOT IN EXAMS)

  • Lecture 27, Fri. Nov. 3:
    Sec. 14.8: Change of variables

  • Lecture 28, Mon. Nov. 6:
    Sec. 14.8: Change of variables: More examples
    Sec. 14.9: Parametrized Surfaces: Introduction

  • Lecture 29, Wed. Nov. 8:
    Sec. 14.9: Parametrized Surfaces: Surface Area & Examples
    Review of Chap. 14

  • Lecture 30, Fri. Nov. 10:
    Sec. 15.1: Vector Fields

  • Lecture 31, Mon. Nov. 13:
    Sec. 15.2: Line Integrals I

  • Wed. Nov. 15:
    IN-CLASS EXAM 3

  • Lecture 32, Fri. Nov. 17:
    Sec. 15.2: Line Integrals II

  • Lecture 33, Mon. Nov. 20:
    Sec. 15.3: Fundamental Theorem of Line Integrals
    Sec. 15.4:Green's Theorem


  • Lecture 34, Mon. Nov. 27:
    Sec. 15.4: Green's Theorem (cont.)
    Sec. 15.5:Surface Integrals

  • Lecture 35, Wed. Nov. 29:
    Sec. 15.6: Oriented Surfaces

  • Lecture 36, Fri. Dec. 1:
    Sec. 15.6: Oriented Surfaces: Examples

  • Lecture 37, Mon. Dec. 4:
    Sec. 15.7: Stokes's Theorem

  • Lecture 38, Wed. Dec. 6:
    Sec. 15.8: Gauss's (Divergence) Theorem.
    Review of Chap. 15.

  • Fri. Dec. 8:
    IN-CLASS EXAM 4

  • Lecture 39, Mon. Dec. 11:
    COURSE REVIEW

  • Wed. Dec. 13:
    FINAL EXAM


    ANNOUNCEMENTS:

  • (Posted Mon. Aug. 28) Quizzes in all sections will be given on the following dates:

    Thu. 09/07, Thu. 09/14, Tue. 10/03, Tue. 10/17, Thu. 11/02, Thu. 11/09, Tue. 11/28, Tue. 12/05.


  • (Posted Tuesday Sept. 5) Here's the Math Tutoring Schedule for this semester (Fall 2017)

  • For students who have the 5th Ed. of the Calculus text:
    You may use it, but check that assigned homeworks are the same as in 6th (current) edition.



    MATLAB: AN INTRODUCTION:

    Here's a short introduction to MATLAB that can be downloaded in PDF format (from Prof. P. Wolfe).

    MATLAB is accessible from many computers on campus. For information on software, tutoring and locations see the Math. Dept. resources page here.
    In particular, check Tutoring Resources and Computer Resources.

    Go here to download the entire set of m-files into the directory that you use as your home directory
    for your MATLAB projects.


    REGULAR COMMON FINAL EXAM ROOM ASSIGNMENT: Wednesday, Dec. 13, 1:30-3:30pm:

    Regular Final Exam locations:

    TA: Raymond Schram ................. SKN 0200
    TA: Yousheng Shi ...................... ARM 0135
    TA: Amit Nag........................... ANS 0408
    TA: Jesse Milzman.................... TWS 1310

    SKN: Skinner Building (044)
    ARM: Armory Building
    ANS: Animal Sciences/Agricultural Engineering Building (142)
    TWS: Tawes Hall (141)

    CAMPUS MAP

    ALTERNATE FINAL EXAM FOR MATH241 STUDENTS WHO **ALSO** TAKE MATH246, 246H:

  • Date & Time: TBA by email to qualified students

  • Place: TBA by email to qualified students