What's in the Syllabus?
What's in the Syllabus?
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COURSE DESCRIPTION
COURSE DESCRIPTION
The contents in Calculus III, which is the last course in the calculus series, cover topics in parametric equations and polar coordinates, vectors, partial derivatives and multiple integrals with their applications.
Parametric Equations and Polar Coordinates
Parametric Equations
Polar Coordinates
Polar Curves
Tangent Lines and Arc Length for Parametric and Polar Curves
Three-Dimensional Space; Vector Coordinates
Rectangular Coordinates in 3-Space
Vectors
Dot Products; Projections
Cross Products
Parametric Equations of Lines
Planes in 3-Space
Cylindrical and Quadric Surfaces
Partial Derivatives
Functions of Two or More Variables
Limits and Continuity
Partial Derivatives
Chain Rule
Tangent Plane; Total Differentials
Directional Derivatives
Maxima and Minima of Functions of Two Variables
Double Integral
Double Integrals in Rectangular Coordinates
Double Integrals Over Nonrectangular Regions
Double Integrals in Polar Coordinates
Triple Integrals in Rectangular Coordinates
Triple Integrals in Cylindrical and Spherical Coordinates
Recommended Text
1. James Stewart,Daniel K. Clegg,Saleem Watson, Calculus, 9th Edition, n/a, 2021, ISBN: 9781337624183
2. Masita Jamal, Laboratory Manual and Workbook for Calculus 3, n/a, 2010, ISBN: 978967305373
Interested to learn more? Contact [email] for more information.
Interested to learn more? Contact [email] for more information.
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