**Textbook:** Stewart: *Calculus: Early Trancendentals,* 8th Edition, Brooks/Cole(Cengage)

**Course Coordinator:** Dr. Kathleen Acker

**Chapter 12: Vectors and the Geometry of Space**

12.1 Three Dimensional Coordinate Systems

12.2 Vectors

12.3 The Dot Product

12.4 Cross Products

10.1 Curves Defined by Parametric Equations - Review

12.5 Equations of Lines and Planes

**Chapter 13: Vector Functions**

13.1 Vector Functions and Space Curves

13.2 Derivatives and Integrals of Vector Functions

13.3 Arc Length and Curvature

13.4 Motion in Space: Velocity and Acceleration

**Chapter 14: Partial Derivatives**

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

14.7 Maximum and Minimum Values

14.8 Lagrange Multipliers (Optional)

**Chapter 15: Multiple Integrals**

15.1 Double Integrals over Rectangles

15.2 Double Integrals over General Regions

10.3 Polar Coordinates - Review

15.3 Double Integrals in Polar Coordinates

15.4 Applications of Double Integrals

15.5 Surface Area (Optional)

15.6 Triple Integrals

15.7 Triple Integrals in Cylindrical Coordinates

15.8 Triple Integrals in Spherical Coordinates (Optional)

**Chapter 16: Vector Calculus**

16.1 Vector Fields

16.2 Line Integrals

16.3 Fundamental Theorem for Line Integrals

16.4 Green's Theorem

16.5 Curl and Divergence

16.6 Parametric Surfaces & Their Areas (Optional)

16.7 Surface Integrals (Optional)

16.8 Stokes' Theorem (Optional)

16.9 The Divergence Theorem (Optional)

This material is covered over a 14 week (56 class hours) semester.

**WebAssign**

Faculty have the option of utilizing WebAssign, a web-based supplement to our textbook. This portal provides graded and practice homework problems, online quizzes, video instruction and an eBook. WebAssign registration requires an access code, which is included with the text purchased from the Villanova Bookstore.

Note: If you choose to rent/purcase a book that comes without a WebAssign code, you will be required to purchase the registration code separately if your instructor uses WebAssign.

Upon the start of each semester, students will received a second code, called a class enrollment code, from their instructor. This code enrolls them into the specific course set up by their instructor for that semester.

**Computer Algebra System (CAS)**

Instructors will be using Maple or a comparable Computer Algebra System in the course.