Start Precalculus II Early

This summer program will give students a head start in Precalculus. In 12 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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Vectors and Matrices

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

Vectors and Matrices

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

Vectors and Matrices

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

Series

Lesson 4
-Intro to sequences
-Quiz 1

Series

Lesson 5
-Constructing arithmetic sequences
-Constructing geometric sequences

Series

Lesson 6
-Modeling with sequences
-Quiz 2
-General sequences
-Geometric series
-Quiz 3

Conic Sections

Lesson 7
-Graphs of circles intro
-Quiz 1
-Standard equation of a circle

Conic Sections

Lesson 8
-Expanded equation of a circle
-Quiz 2
-Focus and Directrix of a parabola

Probabilities and Combinatorics

Lesson 9
-Basic theoretical probability

Probabilities and Combinatorics

Lesson 10
-Probability using sample spaces
-Basic set operation

Probabilities and Combinatorics

Lesson 11
-Randomness, probability, and simulation
-Addition rule
-Quiz 2

Probabilities and Combinatorics

Lesson 12
-Quiz 1
-Experimental probability

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