### Start Precalculus Math Early

Sunday – 9am – 10am & 10am  – 11am (CST)

## PAY NOW

Start Precalculus Early

### \$405

This summer program will give students a head start in Precalculus. 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.

Live classes are held from 12-1pm CST on Mondays, Tuesdays, Thursdays, and Saturdays; 9-10am on Wednesdays, Fridays, and Sundays; 2-3pm CST on Tuesdays, Wednesdays, and Saturdays; and 10-11am CST on Sundays

### Complex Numbers

• The imaginary unit i
• Complex number introduction
• Lesson 1

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

### Polynomials

• Quiz 1
• Multiplying binomials by polynomials
• Special products of polynomials
• Quiz 2
• Lesson 3

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

• Quiz 3
• Dividing polynomials by x
• Dividing quadratics by linear factors

• Lesson 5

• Dividing polynomials by linear factors
• Quiz 3
• Lesson 6

### Composite and Inverse functions

• Shifting functions
• Reflecting functions
• Scaling functions
• Lesson 7

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

• Intro to inverse functions
• Quiz 2
• Lesson 9

### Trigonometry

• Unit circle introduction
• Lesson 10

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

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

### Vectors and Matrices

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

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

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

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

### Series

• Intro to sequences
• Quiz 1
• Lesson 17

• Constructing arithmetic sequences
• Constructing geometric sequences
• Lesson 18

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

### Conic sections

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

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

### Probabilities and Combinatorics

• Basic theoretical probability
• Lesson 22

• Probability using sample spaces
• Basic set operation
• Lesson 23

• Quiz 1
• Experimental probability
• Lesson 24

• Randomness, probability, and simulation