ST. LOUIS COMMUNITY COLLEGE AT FLORISSANT VALLEY

COURSE OF STUDY

MTH:230

DEPARTMENT: Mathematics LAST UPDATE: Fall 2008

COURSE TITLE: Analytic Geometry & Calculus III CREDIT HOURS: 5

LECTURE HOURS PER WEEK: 5 LAB HOURS PER WEEK: 0

During the first week of the semester, it is the responsibility of each instructor to furnish, in writing, the course objectives and a course syllabus. The objectives are stated below. The syllabus should include instructor information, course information, expected outcomes, course requirements, method of evaluation and an explanation of grading policies, policies on make up work, ground rules for class participation, a tentative class schedule, withdrawal dates, expected classroom behavior, information on the math learning center, consultation (office) hours, and an Americans with Disabilities Act (ADA) accommodations statement.

COURSE DESCRIPTION:

Solid analytic geometry, vectors in two and three dimensions, differential calculus of functions of more than one variable, partial derivatives, directional derivatives, gradients, multiple integration, and an introduction to the calculus of vector fields.

COURSE PREREQUISITE:

MTH 220 with a grade of C or better.

TEXT and CALCULATOR REQUIREMENTS:

Calculus, James Stewart 6^th edition, Thompson/Brooks/Cole Publishing.

The use of a TI 83/84 is required of every student in this course.

COURSE OBJECTIVES:

The student will…

1. use vectors and vector-valued functions to study lines, planes, arc length, and curvature in two and three dimensions.
2. extend the concepts of limits and differentiation to functions of several variables. They will calculate partial derivatives, gradients, and extrema to analyze three-dimensional surfaces and selected application problems.
3. calculate multiple integrals to calculate volumes, center of mass, and surface area of three-dimensional objects.
4. calculate line integrals and surface integrals to solve application problems involving work and fluid flow. This analysis includes Green’s Theorem and Stokes’ Theorem.

SUPPLEMENTARY MATERIALS:

1. Instructor’s Guide
2. Complete Solutions Manual
3. Printed Test Items
4. Transparencies

COURSE OUTLINE:

The following is a suggested time schedule for covering the topics in Chapters 13-17.

		Suggested Time Allotment
Chapters	Topics and Sections	(Number of weeks)
Chapter 13	Vectors and Geometry of Space	3
	13.1 through 13.6
Chapter 14	Vector Functions	3
	14.1 through 14.4
Chapter 15	Partial Derivatives	3
	15.1 through 15.8
Chapter 16	Multiple Integrals	3
	16.1 through 16.9
Chapter 17	Vector Calculus	3
	17.1 through 17.10
Test and Review		1
		TOTAL: 16