Math 2203/51 (CRN 84594)
Calculus III
Fall 2015
Instructor: Andrew G. McMorran
Office: D 242
Office Hours: MWF 10.50am – 11.50am, or by appointment
Telephone: 470-578-5553
Department Fax: 470-578-9812
E-mail: amcmorra@kennesaw.edu
Class Meetings: MWF 8.00am – 9.10am, D 112
Prerequisite: “C” or better in Math 2202 (KSU’s Calculus II), or, “D” or better in Math 2254
(SPSU’s Calculus II)
Some Expected Learning Outcomes:
Upon completing this course students should be able to:
1. Formulate equations describing several surfaces such as planes, cones, paraboloids, and other
quadric surfaces.
2. Work with vectors and demonstrate an understanding of the algebra of vectors including dot
products and cross products (and also demonstrate knowledge of the geometric interpretations of
such operations).
3. Formulate parametric descriptions of curves and surfaces.
4. Demonstrate an understanding of the concepts of tangent vector, unit tangent vector, and
normal vector to a curve at a point.
5. Demonstrate an understanding of the concept of a tangent plane to a surface at a point and will
be able to find equations for tangents planes of given surfaces.
6. Demonstrate an understanding of the concepts of velocity, speed, and acceleration in regard to
motion along a curve in three dimensional space.
7. Solve problems involving the path of a projectile.
8. Compute limits and partial derivatives of functions of several variables.
9. Compute directional derivatives of functions of several variables and will understand the
connections between the directional derivatives, gradient vector, and level curves of a function.
10. Evaluate double integrals of functions of two variables and will demonstrate understanding
of the geometric and applied interpretations of such integrals.
11. Apply double integrals to the problem of computing the area of a surface.
12. Demonstrate an understanding of the concept of a conservative vector field and will be able
to apply basic criteria to determine if a given vector field is conservative.
13. Demonstrate the ability to find potential functions for certain conservative vector fields and
will be able to apply the Fundamental Theorem of Line Integrals in evaluating line integrals of
such conservative vector fields.
14. State Green's Theorem and will demonstrate an ability to apply this theorem.
15. Have learned Stokes' Theorem.
Textbook: Calculus, by James Stewart, 7’th edition (Brooks/Cole)
Calculator: Where permitted any device belonging to the TI-83/TI-84 pool of calculators (or an
instructor approved equivalent) may be used. Calculators on which one can integrate and
differentiate symbolically (for example the TI-89 or TI-92) are expressly forbidden. If in doubt,
please ask.
Assignments:
There will be four 70 minute in-class tests and a two-hour comprehensive final examination.
Test 1 – Wednesday 9’th, September
Test 2 – Friday 2’nd, October
Test 3 – Friday 30’th, October
Test 4 – Friday 4’th, December
Final – Wednesday 9’th, December (8.00am-10.00am)
Evaluation and Grading:
Your class grade will be determined solely from the scores on the four class tests and the final
examination. Each of these 5 items will be weighted equally in computing a course average. A
distribution of the course averages will be used to determine letter grades.
No make-up or early tests will be administered. In the event that you are unable to take a
scheduled test then you must do the following (i) notify the instructor by no later than midnight
of the day on which the test is administered of your absence, and (ii) present sufficient verifiable
evidence of acceptable, extenuating, and unavoidable circumstances. If you fulfill both of these
requirements then the score that you make on the final exam will be substituted for the missed
test score. In the event that these two requirements are not satisfied a test score of zero will be
assigned.
Weekly Schedule of Topics (Approximate)
Week 1 – Three-Dimensional Coordinate Systems, Vectors
Week 2 – The Dot Product, The Cross Product
Week 3 – Equations of Lines and Planes, Cylinders and Quadric Surfaces
Week 4 – Vector Functions and Space Curves, Test 1, Derivatives and Integrals of Vector
Functions
Week 5 – Arc Length and Curvature, Motion in Space: Velocity and Acceleration
Week 6 – Functions of Several Variables, Limits and Continuity
Week 7 – Partial Derivatives, Tangent Planes and Linear Approximations, Test 2
Week 8 –The Chain Rule, Directional Derivatives and the Gradient Vector
Week 9 – Maximum and Minimum Values, Lagrange Multipliers, Double Integrals over
Rectangles
Week 10 – Iterated Integrals, Double Integrals over General Regions
Week 11 – Double Integrals in Polar Coordinates, Applications of Double Integrals, Test 3
Week 12 – Surface Area, Triple Integrals, Triple Integrals in Cylindrical
Coordinates
Week 13 – Triple Integrals in Spherical Coordinates, Vector Fields, Line Integrals
Week 14 – The Fundamental Theorem for Line Integrals, Green’s Theorem
Week 15 – Stokes’ Theorem, Test 4
Week 16 – Wrap Up, Final Exams Begin
Course Attendance Verification Statement:
“Students are solely responsible for managing their enrollment status in a class; nonattendance
does not constitute a withdrawal.”
The last day to withdraw without academic penalty - Wednesday 7’th, October. For further
information on course withdrawals please see:
http://catalog.kennesaw.edu/content.php?catoid=24&navoid=2171#withdrawalfromclasses
Academic Honesty Statement:
“Every KSU student is responsible for upholding the provisions of the Student code of Conduct,
as published in the Undergraduate and Graduate catalogs. The Student Code of Conduct
addresses the University’s policy on academic honesty, including provisions regarding
plagiarism and cheating, unauthorized access to University materials,
misrepresentation/falsification of University records or academic malicious/intentional misuses
of computer facilities and/or services, and misuse of student identification cards. Incidents of
alleged academic misconduct will be handled through the established procedures of the Student
Conduct and Academic Integrity department, which includes either an “Informal” resolution by
a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may
subject a student to the Code of Conduct’s minimum one semester suspension requirement.”
Accommodations:
“Any student with a documented disability or medical condition needing academic
accommodations of class-related activities or schedules must contact the instructor immediately.
Written verification from the KSU Student Disability Services
(http://www.kennesaw.edu/stu_dev/dsss/welcome.html) is required. No requirements exist that
accommodations be made prior to completion of this approved University documentation. All
discussions will remain confidential.”
Important Dates:
Classes begin: Monday 17'th, August
Labor Day Holiday: Monday 7'th, September
Last day to withdraw with a grade of W: Wednesday 7'th, October
Fall Break: Monday 23'rd - Sunday 29'th, November
Last day of classes: Monday 7'th, December
Date and time of final exam: Wednesday 9’th, December (8.00am-10.00am)
Supplemental Instruction:
Math 2203/51 is supported by the Supplemental Instruction program. The SI leader for this class
is Mr. Jacques-Ezechiel Nguessan (jnguess1@students.kennesaw.edu).