MATH 205 - Calculus I

Institution:

Leeward Community College

Subject:

Description:

Limits, continuity, and derivatives. Computations of derivatives - sum, product, and quotient formulas; implicit differentiation; chain-rule. Study of algebraic and trigonometric functions with the analysis of their derivatives. Linear approximation and Newton' s method. Applications of derivatives to maximum-minimum problems and related rate problems. Mean- value theorem. Definite integrals and the Fundamental Theorem of Calculus. Applications of definite integrals to computations of areas, volumes, arc lengths, surface areas, etc. Simple differential equations . Simpson? ? rule. (FS Prerequisite: C or better in MATH 140 or in equivalent courses covering trigonometry and analytic geometry.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.leeward.hawaii.edu

Phone Number:

(808) 455-0011

Regional Accreditation:

Western Association of Schools and Colleges

Calendar System:

Semester

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