2021-2022 Preliminary Yavapai College Catalog 
    Apr 22, 2021  
2021-2022 Preliminary Yavapai College Catalog

MAT 212 - Topics in Calculus

MAT 2212.
Description: Introduction to the theory and techniques of differential and integral calculus of elementary functions with emphasis on applications in business and finance. Note: Computer use and graphing calculator required (TI-83/84 recommended).

Prerequisites: MAT 152  or satisfactory score on mathematics skills assessment.

Credits: 3
Lecture: 3
Course Content:
  1. Limits and continuity
  2. Definition and visualization of the derivative
  3. Basic techniques of differentiation
  4. Application of derivatives in business and finance
  5. Definition and visualization of an integral
  6. Basic techniques of integration
  7. The Fundamental Theorem of Calculus
  8. Applications of integration in business and finance

Learning Outcomes:
  1. Compute limits. (1) 
  2. Apply limits to determine if a function is continuous. (1) 
  3. Compute derivatives using the rules of differentiation. (3)
  4. Analyze functions from business using marginal analysis and derivatives. (2,3,4)
  5. Apply differentiation to optimize functions from business and finance. (3,4)
  6. Compute definite and indefinite integrals using basic integration techniques. (6)
  7. Compute the total change in a function from its marginal function. (5,7,8)