Semester 1 of 2 – Credit Recovery Course: Students examine the foundational components of limits, derivatives, integrals, and series and apply this knowledge to real-world situations. Derivatives are used to find slopes of tangent lines to curves at specified points. Students learn specific rules of differentiation and explore real-world applications, including related rates and optimization. Students explore the graphs of functions and their first and second derivatives to reveal characteristics. Functions increase in complexity to include logarithmic and exponential components. Integrals are explored as various methods of finding the area under a curve are examined and applied, and each method is supported graphically. Integration is used to revolve solids about an axis. At the conclusion of the course, students learn about series including Taylor and Maclaurin series, and how to prove convergence or divergence using integral and p-series tests.




