AP Courses

# AP Calculus AB

AP Calculus AB focuses on topics such as limits, derivatives, and integrals.

#### 90%

of students score

4 and above

#### 78%

students get a top score of

5 in

AP Calculus AB

#### 80%

students showed exceptional
performance in their first semester of

AP Calculus AB

## Course Concept

AP Calculus AB is a college-level course that introduces students to the fundamental concepts and techniques of calculus. It is designed to provide a strong foundation in differential and integral calculus, preparing students for further studies in mathematics, engineering, sciences, and other related fields.

The course covers topics such as limits, derivatives, and integrals, focusing on both algebraic and graphical representations. Students learn to analyze functions, determine their rates of change, and calculate areas under curves. They develop skills in solving problems using calculus methods and apply their understanding to real-life situations.

• Understanding of limits and continuity: Students learn about the concept of limits, which describes the behavior of functions as the input approaches a certain value. They explore the continuity of functions and the relationship between limits and continuity.
• Differentiation: The course introduces students to the concept of derivative, which measures the rate of change of a function. They learn various differentiation techniques, including the power rule, product rule, chain rule, and implicit differentiation. Students apply derivatives to analyze the behavior of functions, determine critical points, and solve optimization problems.
• Integration: Students study the concept of integration, which involves finding the area under a curve. They learn different integration techniques, such as the power rule, substitution, and integration by parts. Students apply integration to calculate areas, solve problems involving accumulation, and find the antiderivative of functions.
• Applications of calculus: Calculus AB emphasizes the application of calculus in various contexts. Students solve real-world problems involving rates of change, optimization, and area calculations. They also analyze the behavior of functions using calculus concepts and techniques.
• Mathematical reasoning and communication: Students develop skills in mathematical reasoning and communication. They learn to justify mathematical statements, explain their problem-solving strategies, and effectively communicate their solutions using mathematical language, symbols, and notation.
• Graphical representation: The course emphasizes graphical representations of functions and their derivatives. Students learn to interpret and analyze graphs, identify key features such as extrema and inflection points, and make connections between the graphical and algebraic representations of functions.

#### Course Details:

Dedicated Test Prep Manager to Oversee Your Program

Test Reports

Personalized Assignments

150000

+ GST

/

\$

1850

## Syllabus

Best-in-class content by leading faculty and industry leaders in the form of videos, cases and projects, assignments and live sessions

1. Limits and Continuity
• Concept of Instantaneous rate of change
• Understanding the Limit
• Proper Limits
• Finding Limits Analytically
• Limits of transcendental functions
• Limits and Continuity
• Infinite Limits and Limits at Infinity
• Intermediate Value Theorem
2. Differentiation - Basic Derivative Rules
• Rate of change and tangent line
• Tangent line and the derivatives
• Understanding the Derivatives
• Differentiability and Continuity
• Basic Differentiation  Rule
• The Product and Quotient Rule
• Velocity and Other Rate of Change
3. Differentiation - Part 2 Composite Implicit and Inverse Functions
• The Chain Rule
• Differentiation from Tables and Symbolically
• Implicit Differentiation
• Inverse Functions
• Derivatives of Inverse Trigonometric Functions
4. Contextual Applications of Differentiations
• The Interpretation of the Derivative
• Straight Line Motion- Connecting Position Velocity and Acceleration
• Rate of change in other application
• Related rates
• Local Linearity
• L' Hospital's Rule
• Indeterminate Form
5. Analytic Applications of Differentiations
• Mean Value Theorem
• Extrema  on an Interval
• First Derivative Test
• Curve Sketching
• Optimization
6. Integration - Accumulation of Change
• Approximating Area with Riemann Sums
• Sigma Notation and Riemann Sums '
• Accumulation Functions
• Properties of Definite Integrals
• Antiderivatives and Indefinite Integrals
• Fundamental theorem of Calculus
• Integration by Substitution
• Integration of Transcendental Functions
7. Differential Equations
• Introduction to Differential Equations
• Slope Fields
• Separation of variables
• Differential Equations Growth and decay
8. Applications of Integration
• Finding Average value of Integrals
• Another Look at Particle Motion
• Accumulation Functions In context
• Area Between Two curves
• Volumes By Cross Sections
• Volumes by Disc and Washer Methods

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##### Experienced Tutors

Our team of teachers boasts the top 1% scores for the sections they teach.

All of our teachers have demonstrated an exceptional ability to convey material in a fun, personalized, and results-driven way.

##### One-on-One Learning

AP Guru offers highly customised and personalised SAT Prep delivered live online.

Our programs are one-on-one to ensure each student receives personalized attention.

##### Amazing Curriculum

Our curriculum includes strategy guides, classroom books, homework sets, and full-length tests.

Our curriculum is written by our tutors and founders based on their years of teaching experience.

##### Mentoring & Support

All of our students are paired with an experienced mentor to guide a student through his or her prep.

Our mentors are someone students can always talk to about anything related to their SAT Prep.

## Private Tutoring

AP Guru specializes in one-on-one teaching, empowering students with online personalized exam prep

##### With AP Guru, each student gets...
• their instructor’s undivided attention and a guided exploration of their subject with both theory and applications taught live in class.
• expert guidance at every step that involves interactive sessions, class notes, worksheets, class recordings, and access to past papers.
• specialist subject tutors who have graduated from top universities with a passion for teaching and a dedicated program manager to track your progress.

## Experienced Tutors

Our team of teachers boast top 1% scores for the subjects they teach. All of our teachers have demonstrated an exceptional ability to convey material in a fun, personalized, and results-driven way.

##### With AP Guru, each student gets...
• an experienced and certified online tutor
• a subject specialist that will convey essential concepts in a clear and easily understandable manner
• a teacher who is 99th percentile scorer in the subject he or she teaches

Between each class, you'll get personalized assignments so you master what you learned

##### With AP Guru, you will get...
• Topic-wise worksheets and graded assessments (with marking schemes) to ensure mastery of each topic tested on the school exams
• Doubt sessions after every couple of classes to review incorrect questions
• Additional worksheets on topic areas of concern

## Practice Papers

Practice for the exam with our library of Topic-wise Tests and Past Papers.

##### With AP Guru, you will get...
• detailed progress reports
• study materials for easy revision
• full-length mock papers, graded as per the grade boundaries and marking schemes.

## Mentoring & Support

At AP Guru, we pair you with an experienced mentor to guide you through the exam prep process.

##### With AP Guru, you will get...
• dedicated support to resolve doubts, convenient class schedules and reminders for important sessions
• Parents Teacher Meetings - We set up monthly parent teacher meetings for your to interact with the tutors

The AP Guru course ensures that each student is exam ready regardless of the initial academic level at which they stand.

• Track your progress including topic, class and homework discussion
• 10 Months of exhaustive exam prep to get you ready
• Last 2 months of Exam Improvement Pointers and Strategies for writing high-scoring answers.
##### One-to-One Classes

AP Guru offers highly customised and personalised SAT Prep delivered live online

##### Experienced Tutor

You will be paired with an experienced English and an experienced Math Tutor

##### Targeted Assessments

Between each class, you'll get personalized assignments so you master what you learned

##### Test Prep Manager

All of our students are paired with an experienced mentor to guide the student through his or her prep

##### Doubt Classes

We will conduct regular one-on-one feedback and doubt classes to go through your errors in mock tests and weekly assessments

##### Mock Tests

We offer more than 30 full length tests for our programs to our students with detailed explanations.

##### Test Analytics

For each test you take, you will receive detailed reports of your performance as well as question explanations

##### Study Plan

The program manager will set test schedules, create reminders, set up doubt sessions, etc.

##### Strategy Guides

Our AP Guru SAT Strategy Guides cover every concept and strategy tested on the SAT

##### Weekly Progress Reports

Our curriculum is written by our tutors and founders based on their years of teaching experience.

##### Web Portal

The AP Guru online portal contain 100+ hours of SAT content - detailed lesson notes, and additional practice

##### Parent Teacher Meetings

Parents Teacher Meeting - We set up monthly parent teacher meetings for your to interact with the tutors

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