Topics covered in Math 234

The following topics will be covered in Math 222. All sections refer to sections of the textbook (Stewart Calculus 8e). 

Chapter 12

12.1 Three-Dimensional Coordinate Systems

12.2 Vectors

12.3 The Dot Product

12.4 The Cross Product

12.5 Equations of Lines and Planes

12.6 Cylinders and Quadric Surfaces

Chapter 10

10.3 Polar Coordinates

Chapter 13

13.1 Vector Functions and Space Curves

13.2 Derivatives and Integrals of Vectors Functions

13.3 Arc Length and Curvature

13.4 Motion in Space: Velocity and Acceleration

Chapter 14

14.1 Functions of Several Variables

14.2 Limits and Continuity

14.3 Partial Derivatives

14.4 Tangent Planes and Linear Approximations

14.5 The Chain Rule

14.6 Directional Derivatives and the Gradient Vector

14.7 Maximum and Minimum Values

14.8 Lagrange Multipliers

Chapter 15

15.1 Double Integrals over Rectangles

15.2 Double Integrals over General Regions

15.3 Double Integrals in Polar Coordinates

15.4 Applications of Double Integrals

15.6 Triple Integrals

15.7 Triple Integrals in Cylindrical Coordinates

15.8 Triple Integrals in Spherical Coordinates

15.9 Change of Variables in Multiple Integrals

Chapter 16

16.1 Vector Fields

16.2 Line Integrals

16.3 The Fundamental Theorem for Line Integrals

16.4 Green’s Theorem

16.5 Curl and Divergence

16.6 Parametric Surfaces and their Areas

16.7 Surface Integrals

16.8 Stoke’s Theorem

16.9 The Divergence Theorem