|
May 05, 2024
|
|
|
|
MATH& 264 - Calculus IV5 Credits Fourth quarter of the Calculus sequence. Topics include the calculus of polar functions, sequences, infinite series, double and triple integrals in multiple coordinate systems, line and surface integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem.
Pre-requisite(s) MATH& 153 or MATH& 163 min 2.0 Course Note Graphing Calculator Required; TI-84 recommended Fees
Quarters Typically Offered Fall Day Spring Day
Designed to Serve Transfer students in mathematics, engineering, and the sciences Active Date 20230328T10:34:15
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 polar coordinates
- Infinite sequences and series
- Double and triple integrals
- Line integrals: Green’s Theorem and Stokes’ Theorem
- Surface integrals: the Divergence Theorem
- Numerical methods: Approximating infinite series
- Applications: Area, volume, and surface area
- Applications to physics: Moments and centroids, work, and flux
Student Learning Outcomes Construct graphs and calculate areas and arclengths for polar curves.
Apply convergence tests to determine if infinite series converge.
Construct and evaluate double integrals in the polar coordinate systems.
Construct and evaluate triple integrals in rectangular, cylindrical, and spherical coordinate systems.
Construct and evaluate line and surface integrals.
Apply the Fundamental Theorem of Line Integrals, Green’s, Stokes’, and the Divergence theorems to evaluate line and surface integrals.
Determine if vector fields are conservative and independent of path and interpret what this says about vector fields.
Solve applications, including average value of a function, volumes, areas, centroids, work, and flux.
Add to Portfolio (opens a new window)
|
|