# Math 2720

Spring 2017

MTuThF 1:00 - 1:50

3393 Rood Hall

By the end of the semester all students should have the following knowledge and skills.

• Know and be able to use the basic operations with vectors.

• Dot product

• Cross product

• Know and be able to use the basic basic operations with matrices.

• Matrix multiplication

• Determinant

• Basics of linear transformations

• Definition

• Geometry

• 2 and 3 dimensional geometry

• Vectors

• Parametrized curves and paths

• Graphs of functions

• Differential calculus in R^n.

• Derivatives of vector valued functions

• Limits

• Continuity

• Partial derivatives

• Directional derivatives

• Total derivative

• The chain rule

• Divergence and curl

• Applications of differential calculus.

• Velocity, acceleration, and position

• Local Extrema

• Lagrange Multipliers (If there is time.)

• Integral multivariate calculus.

• Arclength

• Line integrals, scalar and vector

• Double integrals

• Triple integrals

• Change of variables for double and triple integrals

• Parametrized surfaces and surface area (If there is time.)

• Surface integrals (If there is time.)

• Green's Theorem (If there is time.)

• Stoke's Theorem (If there is time.)

Jay Treiman: jay.treiman at wmich.edu