AP Calculus BC




AP (Advanced Placement) Classes:

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.

The following topics will be covered in AP Calculus BC Class.

Precalculus Review


Functions and Graphing

Exponential Functions

Inverse Functions

Inverse Trigonometric Functions

Evaluating Logarithmic Functions


The Concept of the Limit

Calculating Limits

The Squeeze Theorem

Continuity and Discontinuity

Infinite Limits and Indeterminate Forms


Understanding the Derivative

Using the Derivative

Some Special Derivatives

The Power Rule

The Product and Quotient Rules

The Chain Rule

Derivatives of Trigonometric Functions

Derivatives of the Exponential Function and the Natural Logarithm

Implicit Differentiation

Differentiating Logarithms

Logarithmic Differentiation

Derivatives of Inverse Functions

Applications of the Derivative

Position and Velocity

Linear Approximation and Newton’s Method


Related Rates

An Introduction to Curve Sketching

Critical Points

Concavity and Inflection Points

Graphing Using the Derivative

Graphing Functions with Asymptotes

Indeterminate Quotients and L’Hospital’s Rule

Other Indeterminate Forms



Integration by Substitution

Illustrating Integration by Substitution

The Fundamental Theorem of Calculus

Numerical Integration and Tables of Integrals

Trigonometric Substitution

Techniques of Integration

Integrals Involving Powers of Sine and Cosine

Integrals Involving Powers of Other Trigonometric Functions

An Introduction to Integration by Partial Fractions

Integration by Partial Fractions with Repeated Factors

Integration by Parts

An Introduction to Trigonometric Substitution

Trigonometric Substitution Strategy

Improper Integrals

Applications of Integration


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



Moments and Centers of Mass

Arc Lengths and Functions

Differential Equations

Separable Differential Equations

Direction Fields

Growth and Decay Problems

Euler’s Method

Parametric Equations and Polar Coordinates

Understanding Parametric Equations

Derivatives and Arc Length of Parametric Equations

Understanding Polar Coordinates

Polar Functions and Slope

Polar Functions and Area

Sequences and Series


Infinite Series

Convergence and Divergence

The Integral Test and p-Series

The Comparison and Limit Comparison Test

The Alternating Series Test, Absolute and Conditional Convergence

The Ratio and Root Test

Polynomial Approximations of Elementary Functions

Taylor and Maclaurin Polynomials

Taylor and Maclaurin Series

Power Series

Power Series Representations of Functions

Key Features:

Training Type: Online Live Interactive Session.
Experienced Faculty.
1 ON 1 Sessions
Duration 40 Hours
Access to Class Recordings.
Weekday / Weekend Classes.


Evening Schedule:

2 to 3 Days / Week
8:30 PM – 9:30 PM EST
9:00 PM – 10:00 PM EST
9:30 PM – 10:30 PM EST
10:00 PM – 11:00 PM EST


Morning Schedule:

2 -3 Days / Week
10:00 AM – 11:00 AM EST
10:30 AM – 11:30 AM EST
11:00 AM – 12:00 PM EST
11:30 AM – 12:30 PM EST



Please contact us, If you are looking for different schedule or need more information.

Phone : 1+ 734 418 2465

Email : info@learntek.org

 Inquiry Now 

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

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