Preliminary 2024-2025 Yavapai College Catalog 
    
    Apr 19, 2024  
Preliminary 2024-2025 Yavapai College Catalog

MAT 220 - Calculus and Analytic Geometry I

MAT 2220.
Description: Introduction to calculus of single variable functions. Includes limits, the fundamental principles of differentiation and integration, techniques for finding derivatives of algebraic and trigonometric functions and applications of derivatives. Note: Computer use and graphing calculator required (TI-83/84 recommended).

Prerequisites: MAT 187  (or MAT 182  and MAT 183 ) or satisfactory score on mathematics skills assessment.

General Education Competency: Quantitative Literacy

Credits: 5
Lecture: 5
Lab: 0

Course Content:
  1. Functions and their applications
  2. Limits and continuity
  3. Definition and visualization of a derivative
  4. The laws of differentiation
  5. Applications of the derivative
  6. Definition and visualization of a integral
  7. The fundamental theorem of calculus
  8. Basic integration techniques

Learning Outcomes:
  1.  Analyze functions. (1) 
  2. Compute limits. (2) 
  3. Apply limits to determine if a function is continuous. (2) 
  4. Compute derivatives using the limit definition of the derivative. (3)
  5. Compute derivatives using the rules of differentiation. (4) 
  6. Define the geometric concept of a derivative. (3) 
  7. Use differentiation techniques to analyze the behavior of functions.  (4, 5) 
  8. Apply differentiation to solve optimization problems. (4,5) 
  9. Apply differentiation to solve related rates problems. (4,5) 
  10. Apply differentiation to solve physics applications. (4,5)
  11. Define the geometric concept of the definite integral. (6,7) 
  12. Compute definite and indefinite integrals using basic integration techniques. (7, 8)