Catholic Tech

Calculus II

Course Objectives

  • Develop a deeper understanding of calculus concepts beyond the AP Calculus AB curriculum.
  • Master integration techniques, including substitution, integration by parts, trigonometric substitutions, and partial fractions.
  • Apply integration to compute areas, volumes, arc lengths, and surface areas of various shapes.
  • Explore sequences and series, including tests for convergence and divergence, power series, and Taylor and Maclaurin series.
  • Study parametric equations and polar coordinates, including their derivatives and integrals.
  • Investigate vectors in two and three dimensions, including vector operations, dot product, cross product, and applications.
  • Introduction to differential equations and their applications.


The course syllabus is subject to change at the discretion of the instructor. Any modifications or updates will be communicated in advance.