Calculus I (MATH 2413)

Instructor: Hient Nguyen

An integrated study of differential calculus with analytic geometry including the study of functions, limits, continuity, differentiation, and an introduction to integration.

Upon completion of MATH 2413, the student will be able to:

  1. Develop solutions for tangent and area problems using the concepts of limits, derivatives, and
  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 Calculus.