MATH 205 - Calculus I

Course Description

  • Prerequisite: "C" or higher in MATH 140 OR placement in MATH 205

Basic concepts, techniques and applications of differentiation; introduction to integration.

Student Learning Outcomes

Upon successful completion Math 205, the student will be able to:

  • Define and use the concepts of limit and continuity
  • Differentiate functions, including products, quotients, and compositions of functions
  • Use differentiation to find the maximum and minimum values of a function
  • Use differentiation to approximate the value of a function
  • Solve applied problems using differentiation, including maximization or minimization problems and related rates problems
  • Use differential calculus to sketch curves
  • Integrate functions by approximation and by the use of anti-derivatives
  • Learn and use the Fundamental Theorem of Calculus
  • Use integral calculus to determine area under and between curves
  • Use integral calculus to determine volume of rectangular solids

In general, the course is designed for students who plan to major in a program requiring the use of calculus. The successful student will learn major mathematical techniques and the use of these techniques in applied situations.