PreCalculus Tutoring
Course
Are you looking for precalculus help? Our tutoring and learning center offers three types of
math programs designed for students who want to improve their knowledge in precalculus.

Individual tutoring: oneonone tutoring inhome or oncampus tutoring sessions.

Small group tutoring. Our regular small group tutoring programs (2  5 students) are
one hour long and held throughout the academic year from September to June. They provide an excellent
combination of individualized instruction with one of our math tutors and the benefits of collaborative study
with others. Students may bring the homework assigned by their respective teachers to their
learning center classes and our tutors will help them with their specific assignments. In
addition, our math tutors can cover the missed skills and provide additional instruction on
challenging material in our own classes. Students enroll in our small group math tutoring programs
by completing an application and returning it to the Columbia Academy tutoring and learning
center. Enrollment is open throughout the year. A monthly commitment is required.

Classroom math program. The entire classroom math program is divided into three
consecutive sessions and covers the following topics:

Linear relations and functions

Functions and their graphs

Polynomial and rational functions

Exponential and logarithmic functions

Trigonometry

Conics

Vectors and parametric equations

Polar coordinates and complex numbers
Upon completion of this course students will be able to:

Use and interpret functions given graphically, numerically, symbolically, and verbally

Find the composition of functions and their domains

Identify even and odd functions and recognize their symmetries

Use the parent graphs of simple polynomial, absolute value and step functions to describe and sketch
the graphs of related functions

Determine inverses of relations and functions and graph them

Determine continuity of a function, end behavior of a functions and increasing / decreasing intervals
of a function

Find the extrema of a function

Graph rational functions and determine asymptotes

Solve equations containing rational exponents

Graph exponential functions and inequalities

Solve problems involving exponential growth and decay

Evaluate expressions involving logarithms

Solve, and graph logarithmic equations and inequalities

Find the values of the six trig functions: using the unit circle; using a point on a terminal/side of
an angle in standard position

Evaluate inverse trig functions

Solve and find the area of triangles using the law of sines and cosines

Graph trigonometric functions and their inverses, find amplitude period phase shift and vertical
translation

Use trigonometric identities

Solve trigonometric equations and inequalities

Use and determine the standard and general forms of the equation of a circle, an ellipse, a hyperbola,
and a parabola

Graph conics

Recognize conic sections represented by their equations

Perform operations on vectors algebraically and geometrically in a plane and threedimensional space

Solve application problems using vectors and right triangle trigonometry

Write vector and parametric equations of lines

Graph polar equations

Convert between polar and rectangular coordinates

Write and graph the polar form of a linear equation
Each session is 12 weeks long. The class meets once a week for one hour. Separate registration
for each session ensures that the session you have chosen best meets your child's needs and it will not interfere
with his/her other afterschool activities during the year. Please refer to the Schedule page for specific dates
when the sessions begin and end.
Precalculus small group tutoring course number: 11131
Precalculus classroom program number: 11132
