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Nov 21, 2024
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MATH 201 - Brief Calculus I
PREREQUISITES: Demonstrated competency through appropriate assessment or successful completion of MATH 136 - College Algebra
PROGRAM: Mathematics
CREDIT HOURS MIN: 3
LECTURE HOURS MIN: 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:
- Find and classify critical values using properties of derivatives
- Sketch functions using calculus.
- Determine if and where a function is differentiable.
- Find the limit of a function.
- Find the intervals over which a function is increasing or decreasing.
- Apply sum, difference, constant mutiple, product, quotient and chain rules to find derivatives of algebraic, logarithmic, and exponential functions.
- 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, including by substitution.
- Use derivatives and integrals to solve practical problems.
- Use a scientific and/or graphing calculator proficiently as related to coursework.
- Use technology as appropriate to enhance course objectives.
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
GRADING POLICY
Exam Requirements:
- Must be proctored
- No student-provided materials
- No open books
- No take-home
Course Addendum - Syllabus (Click to expand)
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