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

--Section 01xx

Fall 2009

Instructor: Dionisios Margetis

LARGE LECTURES: MWF, 10:00am -- 10:50am; Room: ARM 0131

Instructor's office hours: Mon & Wed, 11:00am -- 11:50am (after lecture); or by appointment.
Regular office hours will start on Mon Sept. 7



Teaching Assistants (TAs)/Section Leaders & Sections:
(All sections are held on Tuesdays and Thursdays.)
  • Jin Yan (yjconnie@math.umd.edu): Secs. 0111 (8am, PHYS4220) & 0121 (9am, HBK0105*)
  • Lucas Tcheuko (lucast@math.umd.edu): Secs. 0112 (8am, MTH0303) & 0122 (9am, MTH0403)
  • Elizabeth McLaughlin (BethMcL@math.umd.edu): Secs. 0131 (10am, MTH0403) & 0141 (11am, MTH B0421)
  • Tyler Drombosky (drombosk@math.umd.edu): Secs. 0132 (10am, MTH0304) & 0142 (11am, ARM0119)

    *HBK: Hornbake Library (Building #147) -- see campus map on bottom

    For more information on TAs see below.
  • The discussion sections will start regularly on Tuesday, September 1.

    FINAL EXAM: Monday, Dec. 14, 1:30pm-3:30pm. Room TBA in class.

    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:
    (Material exp. to be covered in 08/31/09 -- 09/09/09)
    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:
    (Material exp. to be covered in 09/11/09 -- 09/16/09)
    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:
    (Material exp. to be covered in 09/18/09 -- 09/23/09)
    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. 26:
    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
    Sec. 14.1: Probs. 5, 7, 9, 15, 21, 23, 24, 30, 34, 37, 39, 47, 54, 58, 62

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

  • Old Exam 1 (for practice)
  • In-class Exam 1 (Wed. Sept. 30)
  • Solutions to Exam 1

  • Old Exam 2 (for practice)
  • In-class Exam 2 (Mon. Oct. 26)
  • Solutions to Exam 2

  • Old Exam 3 (for practice)
  • In-class Exam 3 (Wed. Nov. 18)
  • Solutions to Exam 3

  • Old Exam 4 (for practice)
  • In-class Exam 4 (Wed. Dec. 9)
  • 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. 11.2: Vector operations: sum, scalar multiple; geometric interpretation.
    Sec. 11.3 (start): Intro. to dot product.
  • Lecture 3, Fri. Sept. 4:
    Sec. 11.3 (cont.): Projection of vectors
    Sec. 11.4: Cross product of vectors: Definition.
  • Lecture 4, Wed. Sept. 9:
    Sec. 11.4: Cross product (continued): properties.
    Sec. 11.5: Lines in space.
  • Lecture 5, Fri. Sept. 11:
    Sec. 11.5 (continued): Lines in space: Distance of point from line.
    Sec. 11.6: Planes in space.
  • Lecture 6, Mon. Sept. 14:
    Sec. 11.6 (cont.): Planes: Exercises; distance of point from plane.
    Sec. 12.1: Vector-valued functions: Definitions.
  • Lecture 7, Wed. Sept. 16:
    Sec. 12.2: Limits and continuity.
  • Lecture 8, Fri. Sept. 18:
    Sec. 12.3: Derivatives and integrals.
  • Lecture 9, Mon. Sept. 21:
    Sec. 12.3 (cont.): Derivatives and integrals: Integrals.
    Sec. 12.4: Curves in space and their lengths.
  • Lecture 10, Wed. Sept. 23:
    Sec. 12.4 (cont.): Curves in space and their lengths: Arc length function.
    Sec. 12.5: Tangents and normals.
    Sec. 12.6: Curvature (an introduction).
  • Lecture 11, Fri. Sept. 25:
    Sec. 12.6: Curvature: Examples.
    Sec. 13.1: Functions of several variables: An introduction.
  • Lecture 12, Mon. Sept. 28:
    Sec. 13.2: Limits and continuity.
    Review problems for Exam 1
  • IN-CLASS EXAM 1, Wed. Sept. 30
  • Lecture 13, Friday Oct. 2:
    Sec. 13.3: Partial derivatives.
  • Lecture 14, Mon. Oct. 5:
    Sec. 13.3 (cont.): Partial derivatives: Examples
    Sec. 13.4 : Chain Rule: Basics.
  • Lecture 15, Wed. Oct. 7:
    Sec. 13.4 (cont.): Chain Rule: More Examples.
    Sec. 13.5: Directional Derivative.
  • Lecture 16, Fri. Oct. 9:
    Sec. 13.6: Gradient.
  • Lecture 17, Mon. Oct. 12:
    Sec. 13.7: Tangent plane approximation
  • Lecture 18, Wed. Oct. 14:
    Sec. 13.8: Extreme values
  • Lecture 19, Fri. Oct. 16:
    Sec. 13.9: Lagrange multipliers
  • Lecture 20, Mon. Oct. 19:
    Sec. 13.9 (cont.): Lagrange multipliers: problems
  • Lecture 21, Wed. Oct. 21:
    Sec. 14.1: Double integrals: introduction
  • Lecture 22, Fri. Oct. 23:
    Sec. 14.1: Double integrals (cont.)
  • IN-CLASS EXAM 2, Mon. Oct. 26
  • Lecture 23, Wed. Oct. 28:
    Sec. 14.2: Polar coordinates
    Sec. 14.3: Surface area: introduction
  • Lecture 24, Fri. Oct. 30:
    Sec. 14.3: Surface area: examples
    Sec. 14.4: Triple integrals: introduction and examples
  • Lecture 25, Mon. Nov. 2:
    Sec. 14.4: Triple integrals: More examples
    Sec. 14.5: Cylindrical coordinates
  • Lecture 26, Wed. Nov. 4:
    Sec. 14.5: Cylindrical coordinates: more examples
    Sec. 14.6: Spherical coordinates: introduction
  • Lecture 27, Fri. Nov. 6:
    Sec. 14.6: Spherical coordinates (cont.)
  • Lecture 28, Mon. Nov. 9:
    Sec. 14.8: Change of variables
  • Lecture 29, Wed. Nov. 11:
    Sec. 14.9: Parametrized Surfaces: Introduction
  • Lecture 30, Fri. Nov. 13:
    Sec. 14.9: Parametrized Surfaces: Surface Area & Examples
    Sec. 15.1: Introduction to Vector Fields
  • Lecture 31, Mon. Nov. 16:
    Sec. 15.1: More on Vector Fields
    Sec. 15.2: Line Integrals
  • IN-CLASS EXAM 3, Wed. Nov. 18
  • Lecture 32, Fri. Nov. 20:
    Sec. 15.2: Line Integrals: Examples
  • Lecture 33, Mon. Nov. 23:
    Sec. 15.3: Fund. Theorem of Line Integrals
  • Lecture 34, Wed. Nov. 25:
    Sec. 15.4:Green's Theorem
  • Lecture 35, Mon. Nov. 30:
    Sec. 15.5: Surface Integrals
  • Lecture 36, Wed. Dec. 2:
    Sec. 15.6:Oriented Surfaces
  • Lecture 37, Fri. Dec. 4:
    Sec. 15.7: Stokes's Theorem
  • Lecture 38, Mon. Dec. 7:
    Sec. 15.8: Gauss's (Divergence) Theorem
  • IN-CLASS EXAM 4, Wed. Dec. 9
  • Lecture 39, Fri. Dec. 11 (Last Day of classes):
    COURSE REVIEW FOR FINAL EXAM


    ANNOUNCEMENTS:

  • (Posted Sat. Oct. 3) CHANGE: Quiz 3 will be given on Tuesday Oct. 13

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

    Thu 09/10, Thu 09/24, **Tue 10/13**, Thu 10/22, Thu 11/05, Thu 11/12, Tue 11/24, Thu 12/03


  • (Posted Mon. Aug. 31) 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.
    A copy of recommended homeworks from the 6th Ed. will be provided above if necessary.


    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 FINAL EXAM ROOM ASSIGNMENT: Monday, Dec. 14, 1:30-3:30pm:

    TA: Tyler Drombosky..........Rm. PHY 1410
    TA: Beth McLaughlin..........Rm. BPS 1243
    TA: Lucas Tcheuko..............Rm. SQH 1120
    TA: Jin Yan..........................Rm. LEF 2166

    (PHY: Physics Bldg (#082); BPS: Biology-Psychology Bldg. (#144);
    SQH: Susquehanna Hall (#233); LEF: LeFrak Hall (#038).)

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

    Tuesday, Dec. 15, 10:30am-12:30pm; Rm. 3109, Cole Field House

    Click Here for a Campus MAP.

    LONG REVIEW SESSION for ALL SECTIONS:

    Sunday, Dec. 13, 9:00am-11:00am; Rm 0200, Skinner (SKN) Bldg (#044)