MATH& 152 - Calculus II

5 Credits

Integral Calculus. Topics include indefinite and definite integrals, the Fundamental Theorem of Calculus, applications, techniques of integration, and an introduction to differential equations.

Pre-requisite(s) MATH& 151 min 2.0
Course Note Graphing Calculator Required; TI-84 recommended
Fees

Quarters Typically Offered
Summer Day
Fall Day
Winter Day, Evening
Spring Day

Designed to Serve Transfer students in mathematics, engineering, and the sciences
Active Date 2016-05-04

Grading Basis Decimal Grade
Class Limit 32
Contact Hours: Lecture 55 Lab 0 Field Studies 0 Clinical 0 Independent Studies 0
Total Contact Hours 55
Degree Distributions:
AA

Quantitative Skills
Science

ProfTech Related Instruction

Computation

PLA Eligible Yes

Course Outline

The definite integral as a limit of Riemann sums
The Fundamental Theorem of Calculus
Evaluate definite, indefinite, and improper integrals
Integration techniques
Applications of integrals: areas, volumes, and arc length
Applications of integration to physics: work, hydrostatic pressure (optional), and centroids and moments
Introduction to differential equations
Numerical methods: Riemann sums, the trapezoidal rule, and Simpson’s rule

Student Learning Outcomes
Apply the definition of the Riemann integral to construct definite integrals and find areas.

Evaluate indefinite, definite, and improper integrals using the Fundamental Theorem of Calculus.

Set up and solve applications, including areas, volumes, surface area, arc length, work, and centroids using the techniques of integration.

Classify and evaluate integrals using techniques of integration (substitution, integration by parts, partial fractions, etc.).

Approximate definite integrals using Midpoint, Trapezoidal, and Simpson's Rules.

Solve separable differential equations.