Math
Advanced Calculus

At AEON School, students are placed in the math course that best fits their ability level, ensuring a personalized learning experience. While some students pursue courses above or below their grade level, most twelfth-graders take Advanced Calculus. This course bridges advanced algebra and trigonometry with fundamental calculus concepts, laying the groundwork for college-level mathematics.

In Advanced Calculus, students explore:

• Volume and surface area: Applying advanced methods to calculate these properties for three-dimensional solids.

• Trigonometric functions: Focusing on circular motion and their applications in real-world contexts.

• Exponential and logarithmic functions: Delving into their properties, graphs, and practical uses.

• Slopes of tangent lines: Introducing the concept of derivatives through approximations.

• Matrices: Utilizing them in problem-solving and mathematical modeling.

• Conic sections: Investigating the geometry and equations of parabolas, ellipses, and hyperbolas.

• Rates of change: Understanding average and instantaneous rates as foundational calculus principles.

• Differentiation and antidifferentiation: Learning techniques to use derivatives and analyze functions.

• Riemann sums and integration: Exploring the basics of integral calculus and its applications.