Math 2339 -- Calculus III
Fall 2008

Course Syllabus

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INSTRUCTOR: Dr. Daniel Reynolds

TEXTBOOK: James Stewart, Essential Calculus, Early Transcendentals, Brooks/Cole--Thompson Learning, ISBN-10: 0-495-01428-1.

CATALOG DESCRIPTION: MATH 2339 -- Calculus III [3 Credits]
A continuation of MATH 1338 including parametric equations, polar coordinates, partial differentiation, multiple integrals, and vector analysis. Prerequisite: A grade of C- or higher in MATH 1338.

  • Weeks 1-5: Chapter 10, Vectors and the Geometry of Space
    • 10.1: Three-Dimensional Coordinate Systems
    • 10.2: Vectors
    • 10.3: Dot Products
    • 10.4: Cross Products
    • 10.5: Equations of Lines and Planes
    • 10.6: Cylinders and Quadric Surfaces
    • 10.7: Vectors and Space Curves
    • 10.8: Arc Length and Curvature
    • 10.9: Motion in Space: Velocity and Acceleration
    • week of 9/22-26 -- Mid-Term 1
  • Weeks 6-9: Chapter 11, Partial Derivatives
    • 11.1: Functions of Several Variables
    • 11.3: Partial Derivatives
    • 11.4: Tangent Planes and Linear Approximations
    • 11.5: The Chain Rule
    • 11.6: Directional Derivatives and the Gradient Vector
    • 11.7: Maximum and Minimum Values
    • 11.8: Lagrange Multipliers
    • week of 10/20-24 -- Mid-Term 2
  • Weeks 10-12: Chapter 12, Multiple Integrals
    • 12.1: Double Integrals over Rectangles
    • 12.2: Double Integrals over General Regions
    • 12.3: Double Integrals in Polar Coordinates
    • 12.5: Triple Integrals
    • 12.6: Triple Integrals in Cylindrical Coordinates
    • 12.7: Triple Integrals in Spherical Coordinates
    • 12.8: Change of Variables in Multiple Integrals
    • week of 11/10-14 -- Mid-Term 3
  • Week 13-15: Chapter 13, Vector Calculus
    • 13.1: Vector Fields
    • 13.2: Line Integrals
    • 13.3: The Fundamental Theorem for Line Integrals
    • 13.4: Green's Theorem
    • 13.5: Curl and Divergence

Reading the sections of the textbook corresponding to the assigned homework exercises is considered to be part of each homework assignment. It is expected that you have read this material in advance of each lecture. Furthermore, you are responsible for all of the material in the assigned reading whether it has been presented in the lecture or not.

Homework problems will be assigned on the course homework page, and should be completed by the beginning of the following class. These problem sets will not be turned in; however, quiz problems will be based on the homework so you should make every effort to complete the homework assignments and seek help on all problems that you are unable to solve.

It is very important that you attempt the homework problems by yourself first. For challenging problems, you are encouraged to work with others after trying them yourself. I have set up a Discussion Board on the Blackboard site, where you may collaborate on homework problems.

There will be weekly quizzes during the first 20 minutes of lecture on certain class days. Quiz dates and material covered will be announced in class and posted on the course web page. Each quiz will consist of two to three problems based on (but not identical to) the assigned homework.

No notes, books, or calculators are allowed during the quizzes.

There will be no make-up quizzes for those missed during the scheduled times, unless previously arranged with the professor.

There will be three mid-term exams. Exam dates and material covered will be announced in class and posted on the course web page. You may bring one 4x6 inch card of hand written notes with you to each mid-term exam. Aside from this card, no notes, books or calculators are allowed during the exams.

There will be no make-up exams for those missed during the scheduled times, unless previously arranged with the professor.

You may bring one 8.5 by 11 inch hand written sheet of notes with you to the final exam. Aside from the sheet of notes, no notes, books or calculators are allowed during the final exam.

It is your responsibility to ensure that you do not have a schedule conflict during the final examination; you should not enroll in this class if you cannot take the final examination at its scheduled time.

The final examinations will be held at the following date, time and place:

Section 001 (9:00 class):   Tuesday, December 9, 11:30 am -- 2:30 pm, Hyer Hall 201

Section 003 (11:00 class):   Friday, December 12, 8:00 am -- 11:00 am, Hyer Hall 102

Your course grade will be based on the following decomposition:
  • 15% Quizzes
  • 20% Mid-term 1
  • 20% Mid-term 2
  • 20% Mid-term 3
  • 25% Final Exam
*If the grade on the final exam is higher than that of the lowest mid-term, the percentages will be adjusted as follows:
  • 15% Quizzes
  • 40% Highest two Mid-terms
  • 45% Final Exam
Final grades will be assigned based on the following scale. We may curve the scale to be more lenient, depending on the final grade distribution, though this is at the sole discretion of the instructor.

A A- B+ B B- C+ C C- D+ D D- F
100-94 93-90 89-87 86-83 82-80 79-77 76-73 72-70 69-67 66-63 62-60 59-0

We (the grader and I) will attempt to grade all quizzes and exams fairly the first time. However, if you would like to debate the assigned grade we reserve the right to re-grade the entire assignment, not only the problems that you feel should have been awarded more points. Only the course instructor may change grades. Lastly, you have a maximum of one week after the quiz or mid-term is returned to request a re-grade.

Academic dishonesty is considered a serious offense at SMU. All quizzes and exams must represent your own individual effort. Cheating on an exam or quiz will result in zero points for that exam/quiz. This exam may not be dropped in computing the final course grade. In other words, cheating on an exam will result in a drop of at least 2 letter grades in the course. Furthermore, we resolve to do everything within our ability to ensure that students proven to have violated the honor code will face an administrative sanction which may include suspension or expulsion from the university.

Please review the Honor Code documented in the SMU Undergraduate handbook.

Disability Accommodations: Students needing academic accommodations for a disability must first contact Ms. Rebecca Marin, Coordinator, Services for Students with Disabilities (214-768-4557) to verify the disability and establish eligibility for accommodations. They should then schedule an appointment with the professor to make appropriate arrangements. (See University Policy No. 2.4.)

Religious Observance: Religiously observant students wishing to be absent on holidays that require missing class should notify their professors in writing at the beginning of the semester, and should discuss with them, in advance, acceptable ways of making up any work missed because of the absence. (See University Policy No. 1.9.)

Excused Absences for University Extracurricular Activities: Students participating in an officially sanctioned, scheduled University extracurricular activity should be given the opportunity to make up class assignments or other graded assignments missed as a result of their participation. It is the responsibility of the student to make arrangements with the instructor prior to any missed scheduled examination or other missed assignment for making up the work. (University Undergraduate Catalogue)