# Pre-Calculus

### Course Overview

Acellus Pre-Calculus covers topics that students must understand to tackle the rigorous Acellus AP Calculus AB course. Course topics include:
• Functions
• Parallel and Perpendicular Lines
• Analytic Trigonometry
• Vectors, Parametric, and Polar
• Systems and Matrices
• Conics
• Binomial Theorem, Regression
• Finding Limits
• Tangent Lines
• Area Under a Curve
Acellus Pre-Calculus is taught by award-winning Acellus Master Teacher, Patrick Mara. Acellus Pre-Calculus is A-G Approved through the University of California.

### Course Objectives & Student Learning Outcomes

Upon successful completion of Acellus Pre-Calculus, students will have the a strong foundation of the basic mathematical skills necessary to maximize success in Calculus. Students will review various functions – equations and graphs – and transformations thereof. They know that functions can be used to model real-world situations. They will be familiar with linear, quadratic, power, polynomial, rational, exponential, logistic, and logarithmic functions. Students attain a deeper understanding of complex numbers and what they mean. Trig skills have been reinforced as students use the trig functions to find unknown sides and angles of right triangles. Students have gained confidence working with graphs of trig functions and translating them. They are familiar with harmonic motion and know how to use it to solve real-world problems. Their proficiency using the basic trig identities is improved as they continue to solve problems using them. Students learn about vectors and dot products. They learn about polar coordinates and how to express complex numbers in this form.  Students are familiar with several uses of matrices in solving real-world problems. Student skills using conic sections are reinforced.  Students also have a basic fundamental understanding of the concept of the limit, tangent lines, and finding the area underneath a curve – all in preparation for continued studies in Calculus.