Preliminary 20242025 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 (TI83/84 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:
 Functions and their applications
 Limits and continuity
 Definition and visualization of a derivative
 The laws of differentiation
 Applications of the derivative
 Definition and visualization of a integral
 The fundamental theorem of calculus
 Basic integration techniques
Learning Outcomes:
 Analyze functions. (1)
 Compute limits. (2)
 Apply limits to determine if a function is continuous. (2)
 Compute derivatives using the limit definition of the derivative. (3)
 Compute derivatives using the rules of differentiation. (4)
 Define the geometric concept of a derivative. (3)
 Use differentiation techniques to analyze the behavior of functions. (4, 5)
 Apply differentiation to solve optimization problems. (4,5)
 Apply differentiation to solve related rates problems. (4,5)
 Apply differentiation to solve physics applications. (4,5)
 Define the geometric concept of the definite integral. (6,7)
 Compute definite and indefinite integrals using basic integration techniques. (7, 8)


