2021-2022 Catalog [ARCHIVED CATALOG]
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MATH 201 - Brief Calculus I
PREREQUISITES: Demonstrated competency through appropriate assessment or successful completion of MATH 136 - College Algebra
CREDIT HOURS: 3
LECTURE HOURS: 3
DATE OF LAST REVISION: Fall 2020
An introductory course in calculus. This course studies the fundamental concepts and operations of calculus including algebraic, exponential and logarithmic functions: limits, continuity, derivatives, points-of-inflection, first-derivative test, concavity, second-derivative test, optimization, antiderivatives, and integration by substitution, and elementary applications of the derivative and of the definite integral.
MAJOR COURSE LEARNING OBJECTIVES: Upon successful completion of this course the student will be expected to:
- Identify the domain and range of functions.
- Graph functions.
- Apply the properties of exponential and logarithmic functions.
- Find the limit of a function.
- Find the intervals over which a function is continuous or discontinuous.
- Use the rules of differentiation.
- Determine points of inflection and concavity.
- Use first and second derivatives to sketch curves and to solve optimization problems.
- Relate antiderivatives and integrals.
- Calculate definite and indefinite integrals by substitution.
- Use derivatives and integrals to solve practical problems.
- Use a scientific and/or graphing calculator proficiently as related to coursework.
COURSE CONTENT: Topical areas of study include - Topical areas of study include –
Functions Limits
Average value of a function Implicit Differentiation
Continuity Derivatives
Maximum and minimum of functions Points of inflection
First-derivative test Second-derivative test
Concavity Optimization
Antiderivatives Integrals
Integration by substitution Related rates
Application of intervals and derivatives
Course Addendum - Syllabus (Click to expand)
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