Math 2401 Section C1 SYLLABUS

Calculus III
Fall 2005, Georgia Tech

Lecture Section
M W F 10:05 - 10:55 a.m. 240 Skiles T Th 10:05 - 10:55 p.m.240 Skiles

This is the web site for the fall of 2005

Here is a link to the web site for fall of 2007

Instructor
Kate Hurley
  • Office: 258 Skiles
  • Office hours: M F 2-3 pm W 3-4 pm or by appointment
  • Email: hurley@math.gatech.edu
  • Phone: 404-894-1833

    • Teaching Assistant

    Daniel Furse
  • Office: 230 Skiles
  • Office hour: Th 11-12
  • Math Lab hour:W 12-1
  • Email: gtg251g@mail.gatech.edu

    • Check this web site periodically for revised versions of the syllabus, and to obtain homework assignments.

    Textbook
    Calculus; One and Several Variables, Ninth Edition by Salas, Hille and Etgen

    Material Covered
    The class will cover chapters 13-17 of the textbook.

    Homework and Quizzes
    Homework is assigned in each lecture. It is not to be turned in. There will be a short weekly quiz on Thursdays in section. It will cover the homework problems assigned the previous week. The quiz problems will frequently be drawn directly from the homework problems. Occasionally, I will use a quiz to introduce a novel type of problem that I want you to see before the test.

    Doing the homework is vital to your understanding of the material. Working on the problems with a group of your classmates is a good idea. However, remember that you will have to take the quizzes and tests without your classmates or the answers from solution manual. Make sure you can do the problems by yourself, without frequent reference to your notes or the book.

    Tests and Exams
    There are two midterms on Thursdays September 22nd and November 3rd. The final exam is on Thursday December 15th from 8 a.m. to 10:50 a.m. It is cumulative, although there will be an emphasis on material covered after the second midterm.

    Grading
    The course grade is based on quizzes 10%, midterms, 25% each, and the final exam, 40%. The grading scale will be curved, and I will let you know the curve on each exam when I hand it back. The lowest quiz score will be dropped.

    Policies
    In order to be acceptable, excuses for missing work must be serious, documented, and timely. I reserve the right to reject lame excuses.

    There will be no books, notes, calculators or "cheet sheets" allowed on exams.

    Do work together on homeworks, but not on quizzes or exams.

    Students are expected to abide by the Georgia Tech honor code.

    Getting help
    Please come to my office hours. If these hours are not convenient, please stop by my office, e-mail me at hurley@math.gatech.edu or call me at 404-894-1833 and I would be happy to set up an appointment. Your T.A. also has office hours to help you, and should be a primary resource.

    Free drop-in tutoring is also available through the Math Lab in 257 Skiles. There is other free tutoring available: drop in and by appointment, in assorted locations and at assorted times.

    Lecture Schedule
    This lecture schedule is very tentative. I will update it as the semester progresses. Reading a section of the text ahead of the lecture on that section will help your comprehension of lecture.

    Dates Lectures
    Aug 22 M 13.1 Vector valued functions
    24 W 13.1 & 13.2 Derivative and integrals of vector valued functions, differentiation formulae
    26 F 13.3 Curves
    29 M 13.4 Arc length
    31 W 13.5 Curvature of plane curves
    Sept 2 F 13.5 & 13.6 Curvature of space curves & some classical mechanics
    7 W 13.6 Classical mechanics
    9 F 14.1 & 14.2 Functions of several variables, quadric surfaces
    12 M 14.3 Level curves and surfaces
    14 W 14.4 & 14.5 Partial derivatives, open and closed sets
    16 F 14.6 Limits and continuity
    19 M 14.6 & 15.1 More on limits and continuity, equality of mixed partials, differentiability of a function of serveral variables
    21 W - Review
    22 Th - Test 1
    23 F 15.1 Derivative and gradient
    26 M 15.2 Gradients and directional derivatives
    28 W 15.3 Mean value theorem
    30 F 15.3 Chain rules
    Oct 3 M 15.4 The gradient as normal, tangent lines tangent planes
    5 W 15.4 & 15.5 Tangent planes to graphs, local extrema
    7 F 15.5 Second partials test
    10 M 15.6 Absolute extrema
    12 W 15.7 Extrema with side conditions (Lagrange multipliers)
    14 F 15.8 & 15.9 Differenitials, reconstructing a function from its gradient
    19 W 15.8 & 16.1 How to tell if a vector field is a gradient, double summation notation
    21 F 16.1 & 16.2 Double summation, definition of double integral
    24 M 16.2 Properties of the double integral, evaluating the double integral from the definition
    26 W 16.3 & 16.4 Evaluating the double integral using iterated integration, Riemann sums
    28 F 16.4 & 16.5 Polar coordinates, mass and center of mass
    31 M 16.5 & 16.6 Moment of interia, radius of gyration, parallel axis theorem, definition of triple integral
    Nov 2 W - Review
    3 Th - Test 2
    4 F 16.7 Evaluating triple integrals using repeated integration
    7 M 16.8 Cylindrical coordinates and triple integrals
    9 W 16.9 Spherical Coordinates and triple integrals
    11 F 16.10 Change of variables, Jacobians
    14 M 17.1 Line integrals
    16 W 17.2 The fundamental theorem for line integrals
    18 F 17.3 Work energy formula, conservation of mechanical energy
    21 M 17.4 More line integrals
    23 W 17.5 Green's Theorem
    28 M 17.6 Parameterizing surfaces, surface area
    30 W 17.7 Surface integrals
    Dec 2 F 17.7 & 17.8 Flux, the differential operator del
    5 M 17.8 & 17.9 Del and the divergence theorem
    7 W 17.10 Stokes's theorem
    9 F - Review
    15 Th - Cumulative Final Exam at 8 a.m.

    Homework Assignments

    Again, the problems are not to be turned in but they will be the subject of the following week's quiz.

    Date Assigned Problems
    8/22 13.1) 3,7,11,17,19,21,23,27,29,31,33,39,41,43,47
    8/24 13.2) 1,5,9,15,19,21,25,27,29,33
    8/26 13.3) 3,5,9,11,17,23,27,29,31,37,39,43
    8/29 13.4) 3,5,11,13,17,19,21
    8/31 13.5) 3,5,9,11,15,25,27,29,33,39
    9/2 13.5) 41,45,51,55
    9/7 13.6) 1,5,7,11,13,15
    9/9 14.1) 1,5,7,13,17,21,23,27,31,35
    14.2) 1,5,9,15,19,25,31,33,37,41,43,47,51
    9/12 14.3) 5,7,13,23,25,29,31,37,39,41-46
    9/14 14.4) 7,13,19,23,27,31,35,41,45,53,55,61
    14.5) 3,7,9,11,13,17,19
    9/16 14.6) 27
    9/19 14.6) 3,7,9,13,19,23,29,31
    9/23 51.1) 5,9,13,19,23,31,35,37,39
    9/26 15.2) 3,7,13,17,19,25,27,29,35,37,43
    9/28 15.3) 1,3,5
    9/30 15.3) 9,13,19,23,27,31,37,41,45,47,49,53
    10/3 15.4) 3,9,13,15,21,27,29,35
    10/5 15.5) 1,3
    10/7 15.5) 5,9,11,17,21,23,25,29
    10/10 15.6) 3,7,11,17,19,21,25,29,31,33,39
    10/12 15.7) 3,7,11,13,15,21,23,29,37
    10/14 15.8) 5,11,15,19,23,27,35,39
    15.9) 17,19
    10/19 15.9) 3,5,11,13,25,31
    10/21 16.1) 1,3,7,11,15,17
    10/24 16.2) 1,3,7,9,11,15,19
    10/26 16.3) 5,7,13,17,21,27,31,35,41,45,47,51
    10/28 16.4) 5,9,13,15,23,27
    16.5) 3,7,9
    10/31 16.5) 11,17,21,25,27
    16.6) 1,3,7,9
    11/4 16.7) 1,3,9,11,15,17,21,23,29,31,35,51,53
    11/7 16.8) 1,3,5,9,13,19,21,25,27,31
    11/9 16.9) 5,7,9,11,13,17,21,25,31,35,37
    11/11 16.10) 1,5,9,13,17,19,25,27
    11/14 17.1) 3,7,11,15,21,31,33
    11/16 17.2) 3,7,11,13,17,21,25,27
    11/18 17.3) 1,3,5,7,9
    11/21 17.4) 5,7,13,15,19,25,27,29,35
    11/23 17.5) 3,7,11,13,19,21,27,31
    11/28 17.6) 3,7,9,11,13,15,19,23,27
    11/30 17.7) 1,5,7,9,11,15
    12/2 17.7) 19,23,27,31,37,41,45
    17.8) 1,5,11,13,15,17
    12/5 17.9) 3,7,11,13,17,19,21
    12/7 17.10) 3,5,11,13,15,17, fill in course survey