May 19, 2019  
2018-2019 Catalog 
2018-2019 Catalog [ARCHIVED CATALOG]

MATH 2413 - Calculus I

4 Credits ( 4 hrs. lec., 1 hr. lab.) 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. (2701015919) Prerequisite: College Level Readiness in Reading AND Writing, MATH 2412  or placement by testing
Course Outcomes
1 - Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.
2 - Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
3 - Determine whether a function is continuous and/or differentiable at a point using limits.
4 - Use differentiation rules to differentiate algebraic and transcendental functions.
5 - Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
6 - Evaluate definite integrals using the Fundamental Theorem of Calculus.
7 - Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
8 - Use implicit differentiation to solve related rates problems.