MATH 221 - Fall 2009

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Class Meetings: MTRF: 1:25-2:20(F) Classroom: Robinson 25 Text: Essential Calculus by Stewart		Instructor: Dr. Carrie Finch Office: Robinson 24 Phone: 458-8209 E-mail: finchc@wlu.edu		Office Hours: MR: 12:20-1:15(E) TWF: 10:10-11:05(C) or by appointment

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Class Calendar

Homework Assignments

Notes

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Learning objectives

• Students will develop a thorough understanding of the principal tools of multivariable calculus--how the tools are designed and how they are used to analyze the behavior of functions of two or more variables.
• By modeling and solving a variety of problems, including some with real-world applications, students will build on their problem-solving skills and strategies--such as breaking complex problems into simpler subproblems. They will see how the tools from single-variable calculus can be used to analyze functions of two or more variables. They will also come to understand how theoretical results and concepts can be developed and then used for problem solving as well as further investigation.
• Students will gain an appreciation for the mathematical process, which consists of pattern recognition, pattern description, and pattern explanation (proof).
• Students will develop a sense of the importance of criteria, such as clarity, efficiency, and elegance, by which competing solutions to problems might be judged.
• Students will see how Maple or similar computer software can be used in two- and three-dimensional imaging.

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Topics

• three-dimensional coordinate systems
• vectors, the dot and cross products
• equations of lines and planes, cylinders and quadric surfaces
• vector functions and space curves
• arc length and curvature
• velocity and acceleration of a particle moving in space
• real-valued functions of two or more variables
• limits and continuity
• partial derivatives
• tangent planes and linear approximation
• the chain rule,
• directional derivatives and the gradient vector
• maximum and minimum values, Lagrange multipliers
• double integrals in rectangular and polar coordinates
• triple integrals in rectangular, cylindrical and spherical coordinates
• applications of multiple integrals
• change of variables in multiple integrals
• vector fields, curl and divergence
• parametric surfaces and their areas
• surface integrals, and various forms of Stokes' Theorem

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Assessments

• Announced quizzes will be given regularly in class to check student progress on the course material.
  The lowest in-class quiz score will be dropped when calculating course grades.
• There will be 4 chapter tests during the term.
• There will be a comprehensive final exam to be scheduled by each student during exam week.
• Homework will be assigned corresponding to each section in the text that is covered.
  Quiz and test problems will be strongly related to the homework problems.

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Grading

• Your course grade will be determined using the following weights for the different types of assessments:

  Quizzes & classwork:	20%
  Tests:	60%
  Final Exam:	20%

• Your course grade as a percentage will be converted into a letter grade using the following scale:

  A+:	98-100%	B+:	87-89%	C+:	77-79%	D+:	67-69%
  A:	93-97%	B:	83-86%	C:	73-76%	D:	63-66%
  A-:	90-92%	B-:	80-82%	C-:	70-72%	D-:	60-62%

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Policies

• Please help our classroom be a respectful and productive learning environment.
  The use of cell phones or distracting your classmates in other ways is not appropriate.
• Calculators may NOT be used on tests, quizzes, or the final exam.
• Make up quizzes and exams must be arranged in advance and will be given only due to an illness or a university related activity.
• The instructor is available for questions anytime during the posted office hours, with no appointment needed.
  In addition, it may be possible to schedule a meeting during other times.

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