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Nov 09, 2024
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MATH 2413 - Calculus I
Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions; with an application to calculation of areas.
Learning Outcomes: Upon successful completion, students will be able to:
- develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals;
- draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point;
- determine whether a function is continuous and/or differentiable at a point using limits;
- use differentiation rules to differentiate algebraic and transcendental functions;
- identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems;
- evaluate definite integrals using the Fundamental Theorem of Calculus;
- and articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
Credit Hour(s): 4
Lecture Hour(s): 64
Prerequisite(s): MATH 2412 .
Restrictions/Notes: Meets NCTC Core Curriculum Requirement
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