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MATH 243 Calculus III
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1: Introduction to Vectors
Lesson 1.1: Vectors in Two Dimensions
Lesson 1.2: Three-dimensional Rectangular Coordinate System
Lesson 1.3: Vectors in Three Dimensions
Lesson 1.4: Dot Products
Lesson 1.5: Cross Products
2 Vector-Valued Functions
Lesson 2.1: Parametric Curves
Lesson 2.2: Lines and Curves in Space
Lesson 2.3: Calculus of Vector-Valued Functions
3 Some Applications of Vector-Valued Functions
Lesson 3.1: Motion in Space
Lesson 3.2: Arc Length
Lesson 3.3: Curvature and Normal Vectors
4 Planes and Surfaces
Lesson 4.1: Planes
Lesson 4.2: Surfaces
Lesson 4.3: Graphs and Level Surfaces
5 Functions of Several Variables
Lesson 5.1: Polar Coordinates
Lesson 5.2: Limits and Continuity
Lesson 5.3: Partial Derivatives
Lesson 5.4: The Chain Rule
6 Applications of Derivatives
Lesson 6.1: Directional Derivatives and the Gradient
Lesson 6.2: Tangent Planes and Linear Approximation
Lesson 6.3: Maximum/minimum Problems
Lesson 6.4: Lagrange Multiples
7 Additional Materials
Lesson 7.1: Calculus in Polar Coordinates
Lesson 7.2: Conic Section
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MATH 243 Calculus III
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