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## Description

Many high school students choose to take AP courses due to their benefits while in high school, in college applications, and beyond. According to the College Board which administers the AP tests, “AP Gives students the chance to tackle college level work while they are still in high school and earn college Credit and placement.’’

### Benefits of AP Classes:

More than a million students in America take AP classes because of the several benefits they provide. AP classes will…

1.Increase student’s chances of being admitted into top colleges.

2.Challenge students more than regular high school classes and prepare them for the demands of college.

3.Help students to obtain scholarships.

4.Enable students to receive college credit before starting college (if they score a 3 out of 5 or higher on the related exams).

5.Increase the likelihood that students will graduate earlier than normal time, thereby allowing them to save the money that extra semesters in college would cost.

### Precalculus Review

Overview

Functions and Graphing

Exponential Functions

Inverse Functions

Evaluating Logarithmic Functions

Trigonometry Review

### Limits

The Concept of the Limit

Calculating Limits

The Squeeze Theorem

Continuity and Discontinuity

Infinite Limits and Indeterminate Forms

### An Introduction to Derivatives

Understanding the Derivative

Using the Derivative

Some Special Derivatives

### Computational Techniques

The Power Rule

The Product and Quotient Rules

The Chain Rule

### Derivatives of Special Functions

Derivatives of Trigonometric Functions

Derivatives of Exponential Functions

Derivatives of Logarithmic Functions

### Implicit Differentiation and L’Hospital’s Rule

Implicit Differentiation Basics

Applying Implicit Differentiation

Differentiating Logarithms

Logarithmic Differentiation

Derivatives of Inverse Functions

Inverse Trigonometric Functions

Derivatives of Inverse Trigonometric Functions

Indeterminate Quotients

Other Indeterminate Forms and L’Hospital’s Rule

### Applications of the Derivative

Position and Velocity

Linear Approximation and Newton’s Method

Optimization

Related Rates

### Curve Sketching

An Introduction to Curve Sketching

Critical Points

Concavity and Inflection Points

Graphing Using the Derivative

Graphing Functions with Asymptotes

### The Basics of Integration

Antiderivatives

Integration by Substitution

Illustrating Integration by Substitution

The Fundamental Theorem of Calculus

Numerical Integration

### Applications of Integration

Motion

Finding the Area between Two Curves

Integrating with Respect to y

The Average Value of a Function

Finding Volumes Using Cross-Sections

Disks and Washers

Shells

### Differential Equations

Separable Differential Equations

Direction Fields

Growth and Decay Problems

### Inquiry Now

USA: +1 734 418 2465 | India: +91 40 4018 1306

The Advanced Placement (AP) is a trademark registered and owned by the College Board, which is not affiliated with Learntek.org, and does not endorse this product. All other trademarks and copyrights are the property of their respective owners.

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