MATH 2413 - Calculus I4 credit hours. 4 lecture hours. 0 lab hours.
Prerequisites: MATH 2412 or permission of the department chair.
This course includes Limits and continuity; 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; and the Fundamental Theorem of Calculus, with an application to calculation of areas. Students may be required to use a calculator.
Measurable Learning Outcomes:
Upon successful completion of this course, students will: 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. Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
Notes:
Any student enrolled in a mathematics course at Temple College will be eligible to attend a mathematics lab. The main campus lab will be open at least 20 hours each week and will be staffed by the lab director, regular math faculty members and peer tutors. Labs in Hutto and Taylor will be open a limited number of hours as posted at those facilities. Hours vary each semester. Check with center directors for available tutoring at the Hutto and Taylor locations.
While every effort has been made to align our pre-requisites with the majority of major receiving institutions, it is ultimately the learner’s responsibility to be aware of his/her institution’s particular pre-requisites.
MyMathLab is used in most classes.
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