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

--Section 02xx

Fall 2015

Instructor: Dionisios Margetis

LARGE LECTURES: MWF, 11:00am -- 11:50am; Room: ARM 0131

Instructor's office hours: Mon & Wed, 12:00pm -- 12:45pm (after lecture); or by appointment.
Regular office hours will start on Wed Sept. 9



Teaching Assistants (TAs)/Section Leaders & Sections:
(All sections are held on Tuesdays and Thursdays.)
  • Ioannis Markou (gmarkou@math): Sec. 0211 (8am, MTH0101)
  • Ke Xue (xueke@umd.edu): Secs. 0212 (8am, MTH0303) & 0222 (9am, MTH0303)
  • Chunting Lu (ctlu@math): Sec. 0221 (9am, MTH0101)
  • O. Rourke (orourke@math): Sec. 0231 (10am, MTH0101) & 0241 (12pm, JMP1109)
  • M. Zhong (mzhong1@math): 0232 (10am, MTH0303) & 0242 (12pm, PHY0405)
    For more information on TAs see below.
  • The discussion sections will start regularly on Tuesday, Sept. 1

    FINAL EXAM: Monday, Dec. 14, 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. 4:
    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. 11:
    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. 18:
    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. 25:
    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 Oct. 2:
    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. 9:
    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. 16:
    Sec. 13.9: Probs. 1, 5, 7, 9, 11, 13, 15, 24, 28

  • Homework Assignment #8, Fri Oct. 23:
    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. 30:
    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. 6:
    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

  • SOLUTIONS to Exam 1

  • EXAM 2

  • SOLUTIONS to Exam 2

  • EXAM 3

  • SOLUTIONS to Exam 3

  • EXAM 4

  • SOLUTIONS to Exam 4


    LECTURES:

  • Lecture 1, Mon. Aug. 31:
    Sec. 11.1 from text: Cartesian coordinate system.
    Sec. 11.2: Definition of vector.

  • Lecture 2, Wed. Sept. 2:
    Sec. 11.3: Dot product.

  • Lecture 3, Fri. Sept. 4:
    Sec. 11.4: Cross product of vectors
    Sec. 11.5: Lines in space: Description

  • Lecture 4, Wed. Sept. 9:
    Sec. 11.5 (continued): Lines in space: Distance of point from line; examples.
    Sec. 11.6: Planes in space.

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

  • Lecture 6, Mon. Sept. 14:
    Sec. 12.1: Vector-valued functions: Definitions and examples.
    Sec. 12.2: Limits and continuity.

  • Lecture 7, Wed. Sept. 16:
    Sec. 12.2: Limits and continuity (cont.).
    Sec. 12.3: Derivatives and integrals.

  • Lecture 8, Fri. Sept. 18:
    Sec. 12.4: Curves in space and their lengths.

  • Lecture 9, Mon. Sept. 21:
    Sec. 12.5: Tangents and normals.

  • Lecture 10, Wed. Sept. 23:
    Sec. 12.6: Curvature: An introduction (NOT IN EXAMS).
    Review problems on Chap. 12.

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

  • Lecture 11, Mon. Sept. 28:
    Sec. 13.1: Functions of several variables: An introduction.
    Sec. 13.2: Limits and continuity.

  • Lecture 12, Wed. Sept. 30:
    Sec. 13.3: Partial derivatives.

  • Lecture 13, Fri. Oct. 2:
    Sec. 13.4 : Chain Rule

  • Lecture 14, Mon. Oct. 5:
    Sec. 13.5: Directional Derivative.
    Sec. 13.6: Gradient.

  • Lecture 15, Wed. Oct. 7:
    Sec. 13.7: Tangent plane approximation

  • Lecture 16, Fri. Oct. 9:
    Sec. 13.8: Extreme values.

  • Lecture 17, Mon. Oct. 12:
    Sec. 13.8: Extreme values: More problems

  • Lecture 18, Wed. Oct. 14:
    Sec. 13.9: Lagrange multipliers: Basic theory and examples

  • Lecture 19, Fri. Oct. 16:
    Sec. 13.9 (cont.): Lagrange multipliers: problems

  • Lecture 20, Mon. Oct. 19:
    Review problems on Chap. 13.

  • Wed. Oct. 21:
    IN-CLASS EXAM 2

  • Lecture 21, Fri. Oct. 23:
    Sec. 14.1: Double integrals: an introduction

  • Lecture 22, Mon. Oct. 26:
    Sec. 14.1: Double integrals (cont.)
    Sec. 14.2: Polar coordinates

  • Lecture 23, Wed. Oct. 28:
    Sec. 14.3: Surface area

  • Lecture 24, Fri. Oct. 30:
    Sec. 14.4: Triple integrals: Introduction and examples

  • Lecture 25, Mon. Nov. 2:
    Sec. 14.5: Cylindrical coordinates

  • Lecture 26, Wed. Nov. 4:
    Sec. 14.6: Spherical coordinates
    Sec. 14.7: Moments and centers of gravity: an introduction (NOT IN EXAMS)

  • Lecture 27, Fri. Nov. 6:
    Sec. 14.8: Change of variables

  • Lecture 28, Mon. Nov. 9:
    Sec. 14.8: Change of variables: More examples
    Sec. 14.9: Parametrized Surfaces: Introduction

  • Lecture 29, Wed. Nov. 11:
    Sec. 14.9: Parametrized Surfaces: Surface Area & Examples
    Review of Chap. 14

  • Lecture 30, Fri. Nov. 13:
    Sec. 15.1: Vector Fields

  • Lecture 31, Mon. Nov. 16:
    Sec. 15.2: Line Integrals I

  • Wed. Nov. 18:
    IN-CLASS EXAM 3

  • Lecture 32, Fri. Nov. 20:
    Sec. 15.2: Line Integrals II

  • Lecture 33, Mon. Nov. 23:
    Sec. 15.3: Fundamental Theorem of Line Integrals
    Sec. 15.4:Green's Theorem


  • Lecture 34, Wed. Nov. 25:
    Sec. 15.4: Green's Theorem (cont.)
    Sec. 15.5:Surface Integrals

  • Lecture 35, Mon. Nov. 30:
    Sec. 15.6: Oriented Surfaces

  • Lecture 36, Wed. Dec. 2:
    Sec. 15.6: Oriented Surfaces: Examples

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

  • Lecture 38, Mon. Dec. 7:
    Sec. 15.8: Gauss's (Divergence) Theorem.
    Review of Chap. 15.

  • Wed. Dec. 9:
    IN-CLASS EXAM 4

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

  • Mon. Dec. 14:
    FINAL EXAM


    ANNOUNCEMENTS:

  • (Posted Mon. Aug. 31) Quizzes in all sections will be given on the following dates:

    Thu. 09/10, Thu. 09/17, Thu. 10/08, Tue. 10/20, Thu. 11/05, Thu. 11/12, Tue. 12/01, Tue. 12/08.


  • 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 is 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: Monday, Dec. 14, 1:30-3:30pm:

    Exam location: TBA

    TA: Chunting Lu .................Rm. ITV 1100
    TA: Ioannis Markou .............Rm. HJP 0226
    TA: Oliver Rourke.................Rm. LEF 2166
    TA: Kent Xue....................Rm. ANS 0408
    TA: Ming Zhong.................Rm. CSI 2117


    CAMPUS MAP

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

  • Date & Time: TBA

  • Place: TBA


    Click Here for a Campus MAP.