Preliminary 2024-2025 Yavapai College Catalog 
    Apr 20, 2024  
Preliminary 2024-2025 Yavapai College Catalog

MAT 230 - Calculus and Analytic Geometry II

 MAT 2230.
Description: Concepts, techniques and applications of integration, infinite series, and introduction to differential equations. Note: Computer use and graphing calculator required (TI-83/84 recommended).

Prerequisites: MAT 220  

General Education Competency: Quantitative Literacy

Credits: 5
Lecture: 5
Lab: 0

Course Content:
  1. Techniques of integration including substitution, integration by parts, partial fractions and integration tables
  2. Numerical methods for integration
  3. Applications of integration
  4. Infinite Series
  5. Taylor series and polynomials
  6. Separable differential equations
  7. Parametric and polar curves

Learning Outcomes:
  1. Compute definite and indefinite integrals using advanced techniques of integration. (1)
  2. Approximate definite integrals using numerical methods. (2)
  3. Solve applied problems using integration. (3) 
  4. Analyze the convergence of infinite series. (4)
  5. Approximate functions using Taylor series and polynomials. (5)
  6. Solve separable differential equations. (6)
  7. Solve problems using parametric and polar equations (7) 
  8. Define parametric equations and polar curves within their respective coordinate systems. (7)