Mathematics

Pre-Calculus

A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions.

Chapter 1: Functions Review
arrow
Definition of functions, graph of functions, composition, and inverse functions
Chapter 2: Introduction to trigonometric functions
arrow
Unit Circle, Radians, graphs, transformations of trig functions, and inverse trig
Chapter 3: Trigonometric Identities
arrow
Sum and differences, double and half, sum-to-product identities
Chapter 4: Applications to Geometry
arrow
Law of cosines, law of sines
Chapter 5: Parameterization and trigonometry coordinate system
arrow
Parameterization, polar coordinates
Chapter 6: Basics of Complex Numbers
arrow
Arithmetics of complex numbers, complex plane
Chapter 7: Trigonometry and Complex numbers
arrow
Trig ratios in exponential form, roots of unity
Chapter 8: Vectors in two dimensions
arrow
Definition, dot product, lines and linear dependence
Chapter 9: Vectors and Matrices in Three dimensions
arrow
Lines and Planes in three dimensions

Learn from the best

Passion for tech. Unmatched expertise. Personality that brings out the absolute best in your child. We know there's no replacement for the best teacher. It's no surprise that iconic companies like Google, Amazon, Microsoft, and Disney hire the same talent we do. Our Geek Certified instructors possess the whole package of skills that inspires students for the Tech World!

university icon
Recruited from top universities and leading IT companies
verified icon
Rigorous background and reference checks
certified icon
Geekedu Certified professional level
experienced icon
Verified teaching experience

What our parents say

This course is for students who have completed our beginner level math courses.

Graph Icon - Education X Webflow Template
Level: 
AGES 14  - 18
Star Icon - Education X Webflow Template
Lifetime Access
Phone Icon - Education X Webflow Template
Online 1-on-1 Private Sessions

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

Sign up and get a 60-minute free assessment class

Book A FREE Trial
Other courses

You Might Also Be Interested In Our Elective Courses

Python Level 1
AGES 10 - 15

Designed for beginners, this level is designed to teach the basic fundamentals and design principles of Python, with the help of Turtle graphics and PyGame. This includes: variables, conditional statements, loop basics, and functions.

These concepts are transferable to any other programming language. Throughout the way, students will create projects in order to apply the concepts they have learned, and to solidify their knowledge.

Python Level 2
AGES 10 - 15

Level 2 dives deeper into the basics of Python for a more thorough understanding and introduces advanced topics. Students will build on knowledge from Level 1 and work with data structures, advanced loops, algorithms, and object-oriented programming, and create games based on what they learn.

Students will complete the course with a solid understanding of Python fundamentals.

Java Level 1
AGES 10 - 15

This beginner-friendly course serves as an introduction to the Java programming language. Students will learn the fundamentals of Java along with core computer science concepts.