Start Precalculus Early

Precalculus

Our one-on-one tutoring will give your child an edge in Precalculus. Over the course of several interactive and engaging live sessions, learners will master several Precalculus topics. Each module and its associated lessons are in line with the school curriculum as you will find in the examples below.

This summer program will give students a head start in Calculus 1. In 25 live sessions, students will learn about transformation of functions and modeling with function, complex numbers, polynomials, composite and inverse functions, trigonometry, vectors and matrices, probabilities and combinatorics, series, and conic sections.

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Complex Numbers

Lesson 1
-The imaginary unit i
-Complex number introduction

Complex Numbers

Lesson 2
-The Complex plane
-Quiz 1
-Adding and Subtracting complex numbers
-Multipying complex numbers Quadratic equations with complex solutions
-Quiz 2

Polynomials

Lesson 3
-Adding and subtracting polynomials
-Quiz 1
-Multiplying binomials by polynomials
-Special products of polynomials
-Quiz 2

Polynomials

Lesson 4
-Factorizing higher degree polynomial
-Factorizing using structure
-Zeros of polynomials

Polynomials

Lesson 5
-Quiz 3
-Dividing polynomials by x
-Dividing quadratics by linear factors

Polynomials

Lesson 6
-Dividing polynomials by linear factors
-Quiz 3

Composite and Inverse functions

Lesson 7
-Shifting functions
-Reflecting functions
-Scaling functions

Composite and Inverse functions

Lesson 8
-Identifying function transformations
-Quiz 1
-Intro to domain and range of a function

Composite and Inverse functions

Lesson 9
-Intro to inverse functions
-Quiz 2

Trigonometry

Lesson 10
-Unit circle introduction
-Radians

Trigonometry

Lesson 11
-The Pythagorean identity
-Trigonetric values of special angles
-Quiz 1

Trigonometry

Lesson 12
-Graphing sinusoidal functions
-Sinusoidal models
-Quiz 2

Vectors and Matrices

Lesson 13
-Equivalent systems of equations and the elimination method 1) elimination and manipulation

Vectors and Matrices

Lesson 14
-Equivalent systems of equations and the elimination method 2
-Quiz 1

Vectors and Matrices

Lesson 15
-Dilations
-Quiz 2
-Solving triangles using the trigonometric ratios

Vectors and Matrices

Lesson 16
-Unit circle introduction
-Distance formula
-Quiz 3

Series

Lesson 17
-Intro to sequences
-Quiz 1

Series

Lesson 18
-Constructing arithmetic sequences
-Constructing geometric sequences

Series

Lesson 19
-Modeling with sequences
-Quiz 2
-General sequences
-Geometric series
-Quiz 3

Conic Sections

Lesson 20
-Graphs of circles intro
-Quiz 1
-Standard equation of a circle

Conic Sections

Lesson 21
-Expanded equation of a circle
-Quiz 2
-Focus and Directrix of a parabola

Probabilities and Combinatorics

Lesson 22
-Basic theoretical probability

Probabilities and Combinatorics

Lesson 23
-Probability using sample spaces
-Basic set operation

Probabilities and Combinatorics

Lesson 24
-Quiz 1
-Experimental probability

Probabilities and Combinatorics

Lesson 25
-Randomness, probability, and simulation
-Addition rule
-Quiz 2

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