Proposed Core Category
Component Area Option (CAO) A [90]
The Mathematics Curriculum Team representative, Amy Hoherz, has submitted a Core course proposal to add MATH 2413 to the LSC Core in the Component Area Option (CAO) A [90] area.
Application Documents
- Application
- Syllabus
- Additional Documentation
Course Description
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.
Prerequisites
College Level Readiness in Reading AND Writing. MATH 2412 - Precalculus (4), OR placement by testing
Student Learning Outcomes
- 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.
- Use implicit differentiation to solve related rates problems.