Calculus is a rigorous college-preparatory mathematics course that meets the University of California/California State University A-G requirements for mathematics. This course introduces students to the fundamental concepts of calculus including limits, derivatives, and integrals, with applications to real-world problems. Throughout the year, students will explore these concepts through multiple representations: graphical, numerical, algebraic, and verbal approaches. 

The course begins with an investigation of limits and continuity, building a foundation for the study of derivatives. Students then progress to differentiation techniques and their applications, including related rates and optimization problems. The concept of integration follows, where students learn various integration methods and apply them to find areas, volumes, and solutions to differential equations. The relationship between differentiation and integration is explored through the Fundamental Theorem of Calculus.

Prerequisites include successful completion of Pre-Calculus or equivalent coursework. This course is designed to prepare students for college-level mathematics and its applications in various fields such as science, engineering, economics, and other quantitative disciplines. Through this course, students develop strong analytical and problem-solving skills essential for success in higher education and future careers.
This course is strategically designed to prepare students for College Level Examination Program (CLEP) tests, offering a powerful pathway to academic acceleration and college readiness. By mastering course content and potentially passing CLEP exams, students can:

• Earn college credits while still in high school
• Reduce future college tuition costs by thousands of dollars
• Demonstrate advanced academic capabilities to prospective schools
• Skip introductory college courses and move directly into more advanced studies
• Build confidence in standardized testing and college-level academic skills
• Get a head start on college curriculum and degree requirements