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Math 163 (formerly Math 202 ) Calculus III
CALCULUS AND ANALYTICAL GEOMETRY III
Math&163
COURSE GOALS/OBJECTIVES:
Multivariate integral and differential calculus. Geometry in R3 and in the plane. The study of vectors, acceleration, curvature; functions of several variables, partial derivatives; directional derivatives and gradiants; extreme values; double and triple integrals; applications.
A graphing calculator is required.
Prerequisite: Math@152 (formerly 201) or equivalent with a grade of "C" or better.
PROPOSED COURSE CONTENT
(pending department approval)
Orientation
12.1 Three-Dimensional Coordinate Systems
12.1 Continued
12.2 Vectors
12.2 Continued
12.3 Dot Product
12.4 Cross Product
12.3 & 12.4 Continued. Work.
12.5 Equations of Lines and Planes. Distance.
12.5 Continued
12.6 Cylinders & Quadric Surfaces
12.6 Continued
Review
EXAM 1
13.1 Vector Functions
13.2 Derivatives & Integrals of Vector Functions
13.2 Continued. Unit Tangent.
13.3 Arc Length & Curvature
13.3 Continued. Unit Normal.
13.4 Velocity & Acceleration in Space
13.4 Continued
Review
EXAM 2
14.1 Functions of Several Variables
14.1 Continued
14.2 Limits; Continuity
14.2 Continued
14.3 Partial Derivatives
14.3 Continued
14.4 Tangent Planes; Linear Approximations
14.4 Continued. Tangential & Normal Components
14.5 Chain Rule
14.5 Continued
14.6 Directional Derivatives; Gradient Vector
14.6 Continued
14.7 Maximum/Minimum Values
14.7 Continued
14.8 LaGrange Multipliers
14.8 Continued
Review
EXAM 3
15.1 Double Integrals (Rectangular)
15.1 Continued and 15.2 Iterated Integrals
15.2 Continued
15.3 Double Integrals (General Regions)
15.3 Continued and 15.5 Applications of Double Integrals
15.4 Double Integrals (Polar)
15.4 Continued
15.5 Continued
15.6 Triple Integrals
Review for Final
FINAL EXAM Part 1
FINAL EXAM Part 2
REQUIRED EVALUATION METHODS:
Written exams, quizzes, homework, class participation, group participation
Course may include some projects.
TEXT BOOKS:
James Stewart
CALCULUS: Early Transcendentals, 6th Edition
Thomson Learning Inc., 2008
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