MATH& 163 - Calculus III5 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.
Note: Graphing Calculator Required; TI-84 recommended
Pre-requisite(s) MATH& 152 min 2.0 Course Note Graphing Calculator Required; TI-84 recommended Fees
Quarters Typically Offered Summer Day Fall Day Winter Day Spring Day
Designed to Serve Transfer students in mathematics, engineering, and the sciences. Active Date 20230320T11:39:36
Grading Basis Decimal Grade Class Limit 32 Contact Hours: Lecture 55 Total Contact Hours 55 Degree Distributions: AA - Quantitative Skills
- Science
ProfTech Related Instruction
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 Accurately compute equations of lines and planes.
Correctly solve applications of space curves, including arc length, curvature, and the tangential and normal components of acceleration.
Accurately compute numerical approximations using linearization of functions of several variables.
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.
Add to Portfolio (opens a new window)
|