# MAT 2500 Syllabus

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.

### Contact Information

Department of Mathematics & Statistics
SAC Room 305
Villanova University
800 Lancaster Avenue
Villanova, PA 19085
Tel: 610.519.4850
Fax: 610.519.6928
Email: math@villanova.edu

Chair:
Dr. Jesse Frey

Staff: