# Start Calculus II Early

# Start Precalculus II Early

This summer program will give students a head start in Calculus II. 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.

### 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