The concepts in AP® Calculus begin with zero and work toward infinity, encountering complex equations and unknown numbers along the way. Students learn that these equations allow us to explore the realms of the natural world without concrete knowledge of the values we are working with, and that unknown numbers work in predictable ways due to God sustaining His creation. Students walk in the footsteps of Newton and Leibnitz and evaluate the biblical foundations and historical approaches to the study of mathematics. The course includes a study of limits, continuity, differentiation, integration, differential equations, and the applications of derivatives and integrals. Students learn that math is a reflection (measurement, expression, and organization) of the reality and wonder of God’s created universe. God’s infinite nature is seen as we seek ways to deal with the large numbers we encounter in our world. This course bolsters students’ understanding of Calculus in a fully integrated way and prepares students for the AP® Calculus AB exam given each year in May.
This course is designed to provide a college-level experience and prepare students for the AP® exam. Students must take the AP® Exam in order to receive AP® credit. Most colleges and universities offer a sequence of several courses in calculus, and entering students are placed within this sequence according to the extent of their preparation, as measured by the results of an AP® examination or other criteria.
Algebra 1, Geometry, Algebra 2, Pre-Calculus or Trigonometry/Analytical Geometry
Recommended Grade Level(s):
11th – 12th
College Board, National Collegiate Athletic Association (NCAA®), University of California (UC)
Course Types Available:
- 1 Credit – Full course (1 credit, 12 weeks minimum / 12 months maximum)
- ½ Credit – 1st semester only (0.5 credits, 6 weeks minimum / 6 months maximum)
- ½ Credit – 2nd semester only (0.5 credits, 6 weeks minimum / 6 months maximum)
Biblical Integration Information:
God has chosen to reveal truths about His nature and ways in the Created world. The complex patterns, designs, and relationships discovered in the study of mathematics points to God’s nature and ways. As we explore, discover, verify, and catalogue the known truths of His universe, dive into the unknown, make decisions, identify, assess, and solve problems around us, and seek to understand more about the universe God has made and the role of humans in it, God is glorified. The study of mathematics leads us into a deeper understanding of our Creator and appreciation for His provision and wisdom as we use this knowledge as a tool to have dominion over and care for the natural world.
To see how these truths are specifically explored in this course, visit the course information page in the course and click on “Guiding Principles.”