This course introduces students to the fundamental concepts of calculus, focusing on limits, derivatives, integrals, and their real-world applications.
This course introduces students to the fundamental concepts of calculus, focusing on limits, derivatives, integrals, and their real-world applications. Students will learn differentiation techniques, applications of the derivative (such as optimization and motion problems), integration methods, and the Fundamental Theorem of Calculus. The course emphasizes problem-solving, conceptual understanding, and preparation for standardized exams such as the AP Calculus AB/BC exams or college-level coursework. Through guided instruction, practice problems, and interactive discussions, students will develop the skills necessary for advanced mathematical reasoning and applications in fields such as physics, engineering, and economics.
Students will create a Calculus Mastery Portfolio, which includes: A derivative and integral application project, such as modeling population growth, physics-based motion analysis, or optimization in business or engineering. A graphical and analytical exploration, where students analyze a function’s behavior using limits, derivatives, and integrals, supported by a visual representation of the function’s critical points, concavity, and asymptotes. A written or video explanation of a key calculus concept (e.g., explaining the meaning of a derivative in a real-world context or demonstrating an integration technique step-by-step).
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