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.
Functions and Graphing
Inverse Trigonometric Functions
Evaluating Logarithmic Functions
The Concept of the Limit
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
Derivatives of Inverse Functions
Applications of the Derivative
Position and Velocity
Linear Approximation and Newton’s Method
An Introduction to Curve Sketching
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
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
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
Separable Differential Equations
Growth and Decay Problems
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
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 Representations of Functions
1 ON 1 Sessions / Small Groups
We follow your Syllabus
Training Type: Online Live Interactive Session.
Access to Class Recordings.
Weekday / Weekend Classes.
Duration : 40 Hours
Weekend Morning or Evening Schedule:
Weekday Evening Schedule:
Please contact us, If you are looking for different schedule or need more information.
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