MATH 2413 - Calculus I

Credit Hours: 4
Contact Hours - Lecture: 4 Lab: 1
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. CIP Code: (2701015919)
Prerequisite: College Level Readiness in Reading AND Writing, MATH 2412 or placement by testing
Student Learning 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.
Core Category Mathematics [20]