Hesston College MaSc 241 Calculus III -- Fall 2004
M T W F 1:00 - 1:50
4 credit hours
Charles Hall room 1
Instructor: Jeff Baumgartner
Office: Charles Hall 17 ext. 8131
Hours: M - F 10:00 - 10:50,
M - F 4:00 - 5:00 and by appointment
E-mail: JeffB@hesston.edu
Text
Larson, Hostetler, and Edwards, Multivariable Calculus; 7th edition, Houghton Mifflin, 2002.
Course Description and Content
Generalizes single variable
calculus to several variables. Topics include vector calculus, partial
differentiation, multiple integration, line and surface integrals,
and polar, cylindrical and spherical coordinate systems. Prereq: MaSc
142 or equivalent.
We will be covering the material
in chapters 10 – 14 in the text.
Course Objectives and Outcomes
Intermediate Calculus is a continuation
of the study of functions begun in Calculus I and II. Students will
apply and extend their ideas of limit, continuity, differentiation
and integration to vector valued functions and functions of several
variables.
Students will:
- Understand the algebra and geometry of vectors in 2 and 3 dimensions.
- Understand and use dot and cross products, projections and equations of lines and planes using linear algebra.
- Differentiate and integrate vector-valued functions.
- Understand the calculus of vector-valued functions, including projectile motion, unit tangent and normal vectors, arc length, and curvature.
- Use Mathematica to graph level curves and graphs of functions of several variables.
- Find partial derivatives and apply partial differentiation to the computation of gradients, directional derivatives, tangent planes, as well as critical points of functions of several variables, and apply these methods in problem solving (including the Method of Lagrange multipliers).
- Understand definite integrals in higher dimensions, setting up and evaluating multiple integrals, including changing the order of integration, and using polar, cylindrical, and spherical coordinates.
- Understand line and surface integrals, potential functions, and path independence. Students will apply the theorems of Green, Gauss, and Stokes.
- Students will develop mathematical skills necessary for more advanced work in mathematics and science.
Hesston College outcomes that receive major emphasis in this course are to help each student become a competent communicator, a critical thinker, and an integrative thinker.
Evaluation
- Homework 100 pts.
- Exams (3) 100 pts. each
- Final Exam 100 pts.
- Total: 500 pts.
Grading Scale
- 90 - 100% A
- 80 - 89% B
- 70 - 79% C
- 60 - 69% D
- 0 - 59% NC
Homework will be assigned each day and handed in weekly. When homework is collected, it is due at the beginning of class. Late homework will not be accepted. Exams will be given at the end of chapters 11, 12, and 13. The final exam will be a comprehensive exam and will be given on Tuesday, Dec. 14 at 1:00.
Special Needs
Any student in this course who has a disability that may prevent her or him from fully demonstrating her or his abilities should contact the instructor personally as soon as possible to discuss any accommodations necessary to ensure full participation and facilitate equal educational opportunity.
Academic Assessment
Samples of your work may be randomly selected for institutional assessment purposes. This assessment will not include extra work for you and will, whenever possible, be done anonymously. The purpose of assessing student work is to review the effectiveness of teaching and learning at Hesston College. It will have no impact on your individual grade in this course. If you do not wish to be included in the sample pool, please tell your instructor at the beginning of the semester.