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.
AP Calculus AB
Course Details:
- Dedicated Test Prep Manager to Oversee Your Program
- Physical & Digital Copies of the AP Guru Strategy Guides & Classroom Books
- Test Reports With Detailed Analytics
- Personalized Lesson Notes And Assignments
₹
150000
+ GST
/
$
1850
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Course Concept
Best-in-class content by leading faculty and industry leaders in the form of videos, cases and projects, assignments and live sessions
COURSE SYLLABUS PDF- 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
- 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
- The Chain Rule
- Differentiation from Tables and Symbolically
- Implicit Differentiation
- Inverse Functions
- Derivatives of Inverse Trigonometric Functions
- 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
- Mean Value Theorem
- Extrema on an Interval
- First Derivative Test
- Curve Sketching
- Optimization
- 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
- Introduction to Differential Equations
- Slope Fields
- Separation of variables
- Differential Equations Growth and decay
- 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
- Volume About a Line
Private Tutoring
- You get your 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
- A teacher who is a 99th percentile scorer in the subject he or she teaches
- A subject specialist who will convey essential concepts in a clear and easily understandable manner
- Perform better on practice exams, and be better prepared for your test day.
Targeted Assessments
- 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.
Mentoring & Support
- A Program Manager helps you at every step.
- Dedicated support to resolve doubts, set up test schedules and sessions, and send reminders.
- Parents Teacher Meetings - We set up monthly parent-teacher meetings for you to interact with the tutors.
Comprehensive Curriculum
- 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.
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AP American History
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AP United States Government and Politics
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Faculty & Industry Instructors
Maharnab
Physics, Math Tutor
Maharnab has pursued B.Tech in Electrical Engineering from IIT Roorkee and has over 5 years of teaching experience. He specializes in Maths and Physics for JEE, AP, IB, IGCSE, MYP, A-levels and SAT.
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Join AP Guru
Step 3 involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors making progress towards academic excellence.
Complete Application
Step 1 of the APGuru process is the application phase. We'll ask for basic information such as your name, contact details, current educational level, and your specific goals or challenges. Once you've filled out the application, click the submit button. Your application will be promptly reviewed by our admissions team.
Take a Trial Class
Step 2 is the trial class, where applicants receive an invitation to experience our teaching methods and interact with instructors. During this session, students engage in discussions, ask questions, and evaluate whether APGuru aligns with their learning preferences and goals, helping them make an informed decision.
Join AP Guru
Step 3 of the APGuru process involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors, and tracking their progress towards academic excellence.