AP Calculus 2

In this course we will build upon the knowledge gained in Advanced Placement Calculus I, by extending those concepts in the consideration of a broader spectrum of equations and to introduce the topic of sequences and series. Topics include: indefinite integration; the definite integral; the Fundamental Theorem of Calculus; integrals of elementary transcendental functions; techniques of integration; polar coordinates; and power series including Taylor series. Applications will be stressed throughout the course including: area; volumes of revolution; centroids; and moments of inertia. Students should own a TI-84 Plus graphing calculator.

Credits 1

1

Grades

11-12

School Competencies
  • Applied Mathematical Modeling (Problem Solving & Analysis - Foundational)
  • Critical Thinking (Problem Solving & Analysis - Foundational)
  • Analytical Application (Problem Solving & Analysis - Advanced)
  • Multi-Disciplinary Technological and Scientific Understanding (Problem Solving & Analysis - Advanced)
  • Cognitive Flexibility (Problem Solving & Analysis)
Course Competencies
  • Limits and Continuity
  • Derivatives
  • Applications of Derivatives
  • Integrals
  • Methods of Integration
  • Applications of Definite Integrals
  • Infinite Series
  • Parametric, Vector, and Polar Functions