# Start Precalculus II Early

Our one-on-one tutoring will give your child an edge in Calculus II. Over the course of several interactive and engaging live sessions, learners will master several Calculus II 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 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
-Quiz 2

### Probabilities and Combinatorics

Lesson 12
-Quiz 1
-Experimental probability