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Course Resources
MATH 2110 -Calculus III

Resource List by Course Content

The resources listed on this page are meant only as general instruction materials. Students are expected to contact their instructors regarding the specific requirements for their classes.

*All video resources below link to Khan Academy unless otherwise noted

Matrices to solve a vector combination problem

Chapter 9 – Vectors and Geometry of Space

9.1 Three-Dimensional Coordinate Systems

9.2 Vectors

9.3 The Dot Product

9.4 The Cross Product

9.5 Equations of Lines and Planes

9.6 Functions and Surfaces

9.7 Cylindrical and Spherical Coordinates

Chapter 10 – Vector Functions

10.1 Vector Functions and Space Curves

10.2 Derivatives and Integrals of Vector Functions

10.3 Arc Length and Curvature

10.4 Motion in Space: Velocity and Acceleration

10.5 Parametric Surfaces

Chapter 11 – Partial Derivatives

11.1 Functions of Several Variables

11.2 Limits and Continuity

11.3 Partial Derivatives

11.4 Tangent Planes and Linear Approximations

11.5 The Chain Rule

11.6 Directional Derivatives and the Gradient Vector

11.7 Maximum and Minimum Values

11.8 Lagrange Multipliers

Chapter 12 – Multiple Integrals

12.1 Double Integrals over Rectangles

12.2 Iterated Integrals

12.3 Double Integrals over General Regions

12.4 Double Integrals in Polar Coordinates

12.5 Applications of Double Integrals

12.6 Surface Area

12.7 Triple Integrals

12.8 Triple Integrals in Cylindrical and Spherical Coordinates

12.9 Change of Variables in Multiple Integrals

Chapter 13 – Vector Calculus

13.1 Vector Fields

13.2 Line Integrals

13.3 The Fundamental Theorem for Line Integrals

13.4 Green’s Theorem

13.5 Curl and Divergence

13.6 Surface Integrals

13.7 Stoke’s Theorem

13.8 The Divergence Theorem