MATH& 163 - Calculus 3

5 Credits

Third quarter of the Calculus sequence. Topics include lines, planes and vectors in R3, the calculus of parametric equations and vector-valued functions, power and Taylor series expansions, partial derivatives and gradients, and an introduction to double integrals.

Pre-requisite(s) MATH& 152 min 2.0
Course Note Graphing Calculator Required; TI-84 recommended
Fees

Quarters Typically Offered
Designed to Serve Transfer students in mathematics, engineering, and the sciences.
Active Date 20190513T10:44:40

Grading System Decimal Grade
Class Limit 32
Contact Hours: Lecture 55
Total Contact Hours 55
Degree Distributions:
AA

Quantitative Skills
Science

ProfTech Related Instruction

Computation

PLA Eligible Yes

Course Outline

Calculus with parametric equations and vector valued functions.
Introduction to vectors and the geometry of lines, planes, and quadric surfaces.
Power and Taylor series.
Partial derivatives and gradients.
Introduction to double integrals.

Student Learning Outcomes
Compute equations of lines and planes.

Solve applications of space curves, including arc length, curvature, and the tangential and normal components of acceleration.

Calculate power series expansions and approximate functions using Taylor polynomials.

Determine domain and level curves for functions of several variables.

Calculate gradients, partial, and directional derivatives for functions of several variables and interpret their meaning.

Construct and evaluate double integrals in rectangular coordinates.

Compute numerical approximations using linearization of functions of several variables.