UPPER SCHOOL – MATH HS II (Pre-Calculus / Introduction to Calculus)

Our Math HS II – Intro to Calculus course is designed to introduce students to the foundational concepts of Calculus, building a bridge between Pre-Calculus and college-level Calculus. Through a combination of theory, problem-solving, and real-world applications, students will explore the core ideas of limits, derivatives, and integrals—equipping them with the tools and confidence needed for advanced math studies.

Course Topics Include:

  • Limits and Continuity: Understanding the behavior of functions at specific points and over intervals.
  • Derivatives: Learning how to compute and interpret derivatives, including the rules of differentiation, applications in motion, optimization, and graph analysis.
  • Integrals: Exploring the concept of area under a curve, antiderivatives, and basic techniques of integration.
  • Applications of Calculus: Solving real-world problems involving rates of change, area, and accumulated quantities.
  • Introduction to Differential Equations: Simple separable equations and their applications.
  • Review of Essential Pre-Calculus Topics: Reinforcement of key algebraic and trigonometric skills as needed.

Course Highlights:

  • Deepen mathematical thinking and analytical reasoning
  • Prepare for AP Calculus or college-level Calculus
  • Hands-on practice with conceptual and applied problems
  • Supportive environment with individualized guidance

Enrollment Guidelines:

  • Returning AlphaMinds students who have completed our Math HS I course
  • New students with strong backgrounds in Algebra II and Pre-Calculus (assessment required—please email info@alphamindsacademy.com)
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