MAT 228 -- Calculus III
Course Information

Time and Location: MWF 12:10 - 1:00 p.m. Murray 106 and Tuesdays 12:10 - 1:00 p.m. Bennett 141.

Extra Help: The Math Lab in 116 Neville Hall is staffed weekdays and evenings. See the whiteboard there for a schedule.

Tutors: Peer Tutoring is available through the "Onward Tutor Program," Division of Student Academic Services, 104 Dunn Hall, 581-2351.

Text: James Stewart, "Multivariable Calculus," Brooks/Cole, 2001: Chapters 9 through 13.

Syllabus:

• Chapter 9 - Vectors and 3-Dimensional Geometry
• § 9.1 - Euclidean 3-Space
• § 9.2 - Vectors
• § 9.3 - Dot Product (Inner Product)
• § 9.4 - Cross Product
• § 9.5 - Lines & Planes in 3-Space
• § 9.6 - Surfaces & Functions of 2 Variables
• § 9.7 - Cylindrical & Spherical Coordinates
• Chapter 10 - Vector-Valued Functions
• § 10.1 - Curves in 3-Space
• § 10.2 - Derivatives & Integrals of Vector Functions
• § 10.3 - Arc Length & Curvature
• § 10.4 - Motion in 3-Space
• § 10.5 - Parametric Surfaces
• Chapter 11 - Partial Derivatives
• § 11.1 - Functions of Several Variables
• § 11.2 - Limits & Continuity
• § 11.3 - Partial Derivatives
• § 11.4 - Tangent Planes & Linear Approximation
• § 11.5 - The Chain Rule
• § 11.6 - Directional Derivatives & the Gradient
• § 11.7 - Maximum & 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 & 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 & Divergence
• § 13.6 - Surface Integrals
• § 13.7 - Stokes' Theorem
• § 13.8 - The Divergence Theorem