AP Calculus AB
AP Calculus AB focuses on topics such as limits, derivatives, and integrals.
90%
of students score 6 and above
78%
students get a top score of 7 in
AP Courses
80%
students showed exceptional
performance in their first semester of
AP Courses
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:
.webp)
Dedicated Test Prep Manager to Oversee Your Program
.webp)
Physical & Digital Copies of the AP Guru Strategy Guides & Classroom Books
.webp)
Test Reports With Detailed Analytics
.webp)
Personalized Lesson Notes And 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
COURSE SYLLABUS PDF18
Months
108
Assignments
18
Live Sessions
2
Hours
1
Assignment
- 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
5
Hours
1
Assignment
- 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
1
Hours
1
Assignment
- The Chain Rule
- Differentiation from Tables and Symbolically
- Implicit Differentiation
- Inverse Functions
- Derivatives of Inverse Trigonometric Functions
3
Hours
1
Assignment
- 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
1
Hours
1
Assignment
- Mean Value Theorem
- Extrema on an Interval
- First Derivative Test
- Curve Sketching
- Optimization
4
Hours
1
Assignment
- 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
1
Hours
1
Assignment
- Introduction to Differential Equations
- Slope Fields
- Separation of variables
- Differential Equations Growth and decay
2
Hours
1
Assignment
- 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
Top colleges from over the globe
Our Students have been accepted at
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.
Explore our Learning Platform
Learn on an AI-powered & personalised platform with best-in-class content, live sessions & mentoring from leading industry experts.


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.
.png)
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.
.png)
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.
.webp)
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.
The AP Guru Advantage
%20(1).png)
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
- This subject specialist will convey essential concepts in a clear and easily understandable manner
- 99th percentile scorer in the subject he or she teaches
.png)
Graded Assessments
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



School-Aligned Curriculum
Our comprehensive curriculum is school-aligned and follows the structure of the International Specification (Edexcel / CIE / AQA / OCR) in order to ensure improvement on both internal tests and external exams.
Our curriculum includes...
- A conceptual foundation of the subject with the help of the latest textbooks, revision guides and workbooks
- Special focus on school assignments and projects
- Class notes to help you recall concepts tested on the exam
.png)
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 with feedback and suggestions for improvement
- video recordings and 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...
- a Program Manager to help you at every step
- 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
.png)
Grade Improvement: Exam Ready
The AP Guru course ensures that each student is exam ready regardless of the initial academic level at which they stand.
Exam Ready
- Track your progress including topic, class and homework discussion
- 10 Months of exhaustive exam prep to get you ready (IGCSE/ Edexcel / CIE / AQA / OCR)
- Last 2 months of Exam Improvement Pointers and Strategies for writing high-scoring answers.

%20(1).png)

One-to-One Classes
AP Guru offers highly customised and personalised SAT Prep delivered live online
.png)
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
.png)
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
.png)
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
Admission Process

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, 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 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.
Here’s What AP Guru’s Alumni Say
You May Also Like

AP English Literature and Composition
AP English Literature and Composition focuses on the critical analysis of literary works from different time periods.
.png)
AP English Language and Composition
AP English Language and Composition focuses on developing students' skills in critical reading and writing.

AP Human Geography
AP Human Geography explores what shapes human populations and cultures around the world.

AP American History
AP United States History explores the history of the United States from pre-Columbian times to the present.

AP World History (Modern)
AP World History (Modern) covers the history of the world from 1200 CE to the present day

AP Physics 2: Algebra
AP Physics 2: Algebra is a continuation of AP Physics 1, covering additional topics in physics

AP Physics 1: Algebra
AP Physics 1: Algebra focuses on developing students' understanding of key physics principles using algebraic methods.
.png)
AP Pre-Calculus
AP Pre-Calculus prepares students for advanced mathematical concepts they will encounter in college-level calculus

AP Calculus BC
AP Calculus BC covers topics such as limits and continuity, Infinite Series and Power Series
.png)
AP Physics C
AP Physics C is an advanced placement course that covers both Mechanics and Electricity & Magnetism.

AP Statistics
AP Statistics is a high school-level course that introduces students to the principles and methods of statistics.

AP Environmental Science
AP Environmental Science explores the scientific principles related to environmental science.

AP Psychology
AP Psychology introduces students to the principles, theories, and methods of psychology.

AP Chemistry
AP Chemistry is a college-level course that introduces students to the principles and concepts of chemistry.

AP Computer Science A
AP Computer Science A introduces students to the fundamentals of computer science and programming.

AP Biology
AP Biology is an advanced placement course that covers a wide range of topics in biology.

AP MicroEconomics
AP Microeconomics introduces students to the principles and concepts of microeconomics.

AP MacroEconomics
AP Macroeconomics introduces students to the principles and concepts of macroeconomics.
You May Also Like

AP MicroEconomics
AP Microeconomics introduces students to the principles and concepts of microeconomics.
Learn More
AP Chemistry
AP Chemistry is a college-level course that introduces students to the principles and concepts of chemistry.
Learn More
AP Human Geography
AP Human Geography explores what shapes human populations and cultures around the world.
Learn More
AP Statistics
AP Statistics is a high school-level course that introduces students to the principles and methods of statistics.
Learn More
AP Computer Science A
AP Computer Science A introduces students to the fundamentals of computer science and programming.
Learn More
AP Psychology
AP Psychology introduces students to the principles, theories, and methods of psychology.
Learn More