# 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.

Request call back (summer) Precalculus

### Complex Numbers

Lesson 1
-The imaginary unit i
-Complex number introduction

### Complex Numbers

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

### Polynomials

Lesson 3
-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

### 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

### 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