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Nov 21, 2024
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2023-2024 Yavapai College Catalog [PREVIOUS CATALOG YEAR]
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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
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)
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