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The Actuaries Hall
MATH 2934
Calculus III
Course Syllabus
§ 10.1 Three Dimensional Coordinate Systems
§ 10.2 Vectors
§ 10.3 The Dot Product
§ 10.4 The Cross Product
§ 10.5 Lines and Planes in 3-D
§ 10.6 Cylinders and Quadric Surfaces
§ 10.7 The Calculus of Vector Functions
§ 10.8 Arc Length and Curvature
§ 10.9 Motion in Space: Velocity and Acceleration
§ 11.1 Functions in Several Variables
§ 11.2 Limits and Continuity of Functions in Several Variables
§ 11.3 Partial Derivatives
§ 11.4 Tangent Plane Approximation and Differentials
§ 11.5 Chain Rule and Implicit Differentiation
§ 11.6 Directional Derivative and the Gradient Vector
§ 11.7 Local and Absolute Extrema of Functions of Two Variables
§ 11.8 Lagrange's Multipliers
§ 12.1 The Definite Integral of a Function in Two Variables
§ 12.2 The Definite Integral over a General Regions
§ 12.3 Double Integrals in Polar Coordinates
§ 12.4 Applications of Double Integrals to Physics
§ 12.5 Triple Integrals
§ 12.6 Triple Integrals in Cylindrical Coordinates
§ 12.7 Triple Integrals in Spherical Coordinates
§ 12.8 Change of Variables for Multiple Integrals
§ 13.1 Vector Fields
§ 13.2 Curve Integrals for Functions of Two Variables
[Solution to Section 10.1]
[Solution to Section 10.2]
[Solution to Section 10.3]
[Solution to Section 10.4]
[Solution to Section 10.5]
[Solution to Section 10.6]
[Solution to Section 10.7]
[Solution to Section 10.8]
[Solution to Section 10.9]
[Solution to Section 11.1]
[Solution to Section 11.2]
[Solution to Section 11.3]
[Solution to Section 11.4]
[Solution to Section 11.5]
[Solution to Section 11.6]
[Solution to Section 11.7]
[Solution to Section 11.8]
[Solution to Section 12.1]
[Solution to Section 12.2]
[Solution to Section 12.3]
[Solution to Section 12.4]
[Solution to Section 12.5]
[Solution to Section 12.6]
[Solution to Section 12.7]
[Solution to Section 12.8]
[Solution to Section 13.1]
[Solution to Section 13.2]
Page created and maintained by
Marcel B. Finan
Last updated:April 08, 2017