MAT2213

Topics List

Date	Sections	Topics	Prerequisite Skills	Student Learning Outcomes
Week 1	1.2	Three-Dimensional Coordinate Systems
Weeks 1	2.1	Vectors in The Plane, Space
Week 1	2.3	The Dot Product
Week 2	2.4	The Cross Product Scalar triple product
Week 2	2.5	Equations of Lines, Planes and Surfaces in Space
Week 3	2.6	Equaitons of Curves. Equations of Surfaces
Weeks 3	3.1, 3.2	Curves in Space and Vector-Valued Functions Derivatives and integrals of vector functions
Week 4	3.3	Arc Length
Weeks 4/5	3.4	Motion in Space
Week 5/6	4.1	Functions of Several Variables
Week 6	4.2	Limit and Continuity of Function of Several Variables
Week 6	4.3	Partial Derivatives
Week 7	4.4	Directional Derivatives and Gradient Vectors
Week 7	4.5	Tangent Plane, Differentiability
Week 7	4.6	The Chain Rule for Functions of more than One Variable
Week 8	4.7	Maxima and Minima Problems
Week 8/9	4.8	Lagrange Multipliers
Week 9/10	5.1	Double Integrals over Rectangular Regions
Week 10	5.2	Double Integrals over General Regions
Week 11	5.3	Double Integrals in Polar Coordinates
Week 11	5.4	Triple Integrals in Rectangular Coordinates
Week 12	5.5	Triple Integrals in Cylindrical and Spherical Coordinates
Week 13	5.6	Applications of Multiple Integrals
Week 13/14	5.7	Change of Variables in Multiple Integrals
Week 14	6.1	Vector Fields
Week 14	6.2	Line Integrals
Week 14/15	6.3	Conservative Vector Fields
Weeks 14/15	6.4	Green's Theorem Stokes' Theorem