Test Prep Mathematics

AP Calculus AB & BC Exam Prep

Three ideas, taught like ideas, then trained against the real rubrics.

10 months (40 weeks) AP Calculus AB and BC students, grades 11-12 2 live one-hour classes per week + weekly problem sets Certificate from Modern Age Coders, awarded on passing the final assessment

Syllabus updated August 2026

Questions? WhatsApp +91 91233 66161 or email connect@modernagecoders.com

Recordings are free with a Google sign-in. These recordings show how we teach, not the exact syllabus of this course.

AP Calculus AB & BC Exam Prep, Live Online, Score 5 Goal

Our promise

The world's best learning experience, open to everyone.

  • World-class instructorsEvery class is taught by an instructor who specialises in that exact field.
  • No compromise on qualityEvery lesson, project and piece of feedback is held to the highest standard.
  • Education for everyoneLearners aged 6 to 67, from first-time beginners to working professionals, in 25+ countries.

If you want the highest quality, Modern Age Coders is the right choice.

Book a Priority Demo

How long this course takes

This course runs 10 months (40 weeks) at 2 live one-hour classes per week + weekly problem sets. The range allows for background and pace: a complete beginner uses the full span, and a student with prior knowledge finishes sooner. The syllabus below is planned to the shorter end, with margin kept for revision.

Standard pace10 months (40 weeks)
Weekly commitment2 live one-hour classes per week + weekly problem sets

For personalised duration planning, call +91 91233 66161 and we'll map a schedule to your goals.

At a glance

Who it is for
AP Calculus AB and BC students, grades 11-12.
Prerequisites
Enrolled in (or about to start) AP Calculus AB or BC, typically grades 11-12
Format
Live, interactive classes with a real instructor, never pre-recorded videos. Live classes run about one hour.
Language
English or Hindi, depending on the batch.
Duration
10 months (40 weeks)
Weekly commitment
2 live one-hour classes per week + weekly problem sets
Class size
Group batches of 5 to 10 students, mini batches of 3 to 4, or 1-on-1.
Certificate
Certificate from Modern Age Coders, awarded on passing the final assessment
Watch first
Free recordings of real classes for ages 13 and up, free with a Google sign-in. These recordings show how we teach, not the exact syllabus of this course.
Live demo
Optional. Enrol directly on this page, or book a Priority Demo: a full live class of about 45 to 60 minutes with a mentor reserved for you.

How we teach

Deep understanding. Real projects. Expert guidance.

Learn coding, AI and maths through careful explanations, practical demonstrations, and hands-on problem-solving. Our instructors guide you from the foundations to advanced ideas, helping you understand what happens, why it happens, and how to build it yourself.

You will explore concepts step by step, write and improve code, investigate mistakes, ask questions, and apply your knowledge to meaningful projects. Lessons are designed around active participation, thoughtful feedback, and growing independence.

Expert-led live teaching, with practical participation built into every lesson.

  • Students explain their thinking.
  • Instructors demonstrate, then guide practice.
  • Learners code, solve, or build during lessons.
  • Questions and misconceptions get attention.
  • Assignments receive useful feedback.
  • Progress is checked before advancing.

Watch a real class Choose a course and enroll

How to join AP Calculus AB & BC Exam Prep, Live Online, Score 5 Goal

Four steps from this page to the first class. See a full class first with a Priority Demo, or choose a plan and enrol today.

Rated 4.9 across 547 Google reviews. Monthly billing, cancel any time.

How enrolment works

  1. See a full class first (optional)

    Book a Priority Demo: a live class of about 45 to 60 minutes with a mentor reserved for you, today or tomorrow. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off.

    Book a Priority DemoDemo fee ₹499
  2. Choose a plan

    Group batch (5 to 10 students), mini batch (3 to 4 students, India only) or 1-on-1 with your own mentor. Every plan is live online, and each class runs about one hour. The cards below show classes per week and the monthly fee in your currency.

  3. Enrol and pay the first month

    Press Enrol Now on your plan, fill in the student's name, email and phone, and pay through secure Razorpay checkout: UPI, cards or net banking in India, and debit or credit card from any other country.

  4. Fix your class timings

    After payment, message us on WhatsApp or call +91 91233 66161 with the student's name, the course and your preferred time slot. We confirm the batch, send the class link and schedule the first class at your chosen time.

Billing is monthly and you can cancel any time.

Group Classes

₹1,499/month

2 Classes per Week · Up to 10 students

Enroll Now

Personalized 1-on-1

₹4,999/month

1 Private Class per Week · 4 a Month

Enroll Now

Questions before you enrol? Talk to our team.

Ask about class timings, the right level for your child, what they need to know already, or payment. Parents and adult learners can reach us on WhatsApp, by email or by phone.

Program Overview

A 10-month live program that runs alongside your student's AP Calculus course and aims squarely at the exam. All of calculus is three ideas, the limit, the derivative, the integral, and students who own them as ideas find the AP exam fair. We teach ideas first, repair the precalculus debt that quietly causes most 'calculus errors', then convert understanding into score: every free-response question type drilled against actual College Board rubrics, multiple-choice pacing, calculator-section strategy, and full mock cycles timed like the real exam. AB and BC students are taught to their exact course.

What Makes This Program Different

  • ✓ Ideas before technique: the derivative discovered through shrinking intervals, the FTC earned as a punchline, so unfamiliar exam framings do not break the student
  • ✓ Precalculus repaired inline: weak composition and trig are fixed inside calculus problems, where the repair sticks
  • ✓ FRQ craft against real rubrics: how points are actually awarded, including justification language graders look for
  • ✓ AB and BC tracks: series, parametrics and polar taught properly for BC students
  • ✓ Calculator and no-calculator sections trained as different skills
  • ✓ Full mock cycles with documented score progression, peaking in exam week
  • ✓ One dedicated mentor across the whole year, one full interactive hour per class
  • ✓ Honest guidance: a diagnostic first, evidence-based targets, never invented score promises

Your Learning Journey

Phase 1
Limits and derivatives as ideas, with precalculus repaired inline and the rule toolkit built to speed
Phase 2
Derivative applications, integrals, the Fundamental Theorem and differential equations, the AB core completed
Phase 3
BC extensions (series, parametrics, polar), then exam craft: FRQ rubrics, MCQ pacing, calculator strategy and full mock cycles

Career Progression

1
A 4-5 goal on the AP exam, pursued with method instead of panic
2
College credit positioning and a lighter first-year math load
3
The function-and-limit fluency engineering and CS majors assume
4
Calculus that survives past May, because it was understood, not memorized

Detailed Course Curriculum

Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.

Topics Covered
  • Full diagnostic: calculus-so-far plus the precalculus underneath (composition, trig, algebra fluency)
  • Limits graphically, numerically and analytically, one idea, three faces
  • One-sided limits, infinite limits and limits at infinity
  • Continuity as a definition that finally makes sense
  • The Intermediate Value Theorem as an exam justification pattern
  • Precalculus repair begins: the personal gap list, attacked weekly
Projects You Build
  • Personal error log and gap map for the whole year
  • Limit-evaluation toolkit sheet, built not copied
Practice & Assignments

Complete a limits problem set spanning graphical, numerical and analytic forms, writing full sentence IVT justifications for two of them.

Topics Covered
  • The derivative discovered via shrinking-interval tables, limit and derivative met as one idea
  • Derivative as slope, as rate, and as the exam's favorite interpretation question
  • Differentiability vs continuity, and where functions fail to have derivatives
  • The rule toolkit: power, product, quotient rules built from meaning
  • The chain rule as composition unwrapping, the make-or-break skill
  • Trig, exponential and logarithmic derivatives to fluency
Projects You Build
  • Shrinking-interval investigation: one data table to both core ideas
  • Timed derivative gauntlet at exam pace, reviewed for error patterns
Practice & Assignments

Run a 20 minute derivative drill most evenings covering power, product, quotient and chain rules, and log any rule that misfires under speed.

Topics Covered
  • Implicit differentiation as the chain rule in disguise
  • Derivatives of inverse functions, including inverse trig
  • Related rates from pictures: setup discipline that survives exam pressure
  • Local linearity and tangent-line approximation
  • L'Hospital's Rule, used where it is actually allowed
  • First FRQ exposure: rate and interpretation questions against the rubric
Projects You Build
  • Related-rates case set: five classic setups from picture to answer
  • Phase checkpoint: timed AB-style mixed section with full review
Practice & Assignments

Solve six related rates problems, starting each with a labeled picture, plus a short implicit differentiation set with every step written out.

Topics Covered
  • First and second derivative analysis: increasing, concavity, extrema, inflection
  • The Mean Value Theorem and its exam justification language
  • Curve sketching from f' and f'', the classic FRQ family
  • Optimization from word problems: model first, calculus second
  • Motion on a line: position, velocity, acceleration, speed
  • Justification writing: the exact phrases rubrics award points for
Projects You Build
  • Full f-f'-f'' graph-relationship FRQ solved and self-graded on the rubric
  • Optimization mini-case portfolio: fence, box, cost, distance
Practice & Assignments

Complete two past style curve analysis FRQs using exact MVT and extrema justification language, then self grade against the rubric.

Topics Covered
  • Riemann sums by hand and in tables, the accumulation idea made concrete
  • The definite integral as net change; units and interpretation questions
  • The Fundamental Theorem of Calculus, arrived at as a discovery
  • Antiderivatives and the substitution method as the chain rule reversed
  • Functions defined by integrals, the FRQ type students fear most, defanged
  • Average value and the accumulation FRQ family
Projects You Build
  • Riemann-to-FTC investigation: watching sums converge
  • Accumulation FRQ set against real rubrics
Practice & Assignments

Work a Riemann sum table set by hand, then a substitution drill, and explain the Fundamental Theorem in your own words at the top of the page.

Topics Covered
  • Area between curves, set up from sketches
  • Volumes: discs, washers and known cross-sections
  • Separable differential equations and exponential models
  • Slope fields: reading, matching and sketching
  • Motion problems revisited with integrals
  • AB syllabus checkpoint: full timed section, error log updated
Projects You Build
  • Volume gallery: one solid each way, from sketch to setup to answer
  • AB mock exam number one with documented score
Practice & Assignments

Set up and solve three area and volume problems, drawing each region first, plus one separable differential equation with a slope field sketch.

Topics Covered
  • Integration by parts and partial fractions (BC)
  • Improper integrals and L'Hospital revisited (BC)
  • Sequences and series: convergence tests as a decision tree (BC)
  • Taylor and Maclaurin polynomials; Lagrange error bound (BC)
  • Parametric and polar: derivatives, speed, arc length and area (BC)
  • AB track in parallel: full-syllabus spaced review by error-log priority
Projects You Build
  • Series convergence decision-tree card, built by the student
  • Parametric motion mini-case (BC) / AB mixed mock section (AB)
Practice & Assignments

Apply the convergence decision tree to ten mixed series (or work the AB deep review set), noting which test you chose and why for each.

Topics Covered
  • The six FRQ archetypes and their rubric patterns, drilled one by one
  • Justification language: what earns the point and what graders ignore
  • Calculator-active strategy: what to store, graph and compute
  • No-calculator section speed: exact values and clean algebra under time
  • MCQ pacing plans built from personal timing data
  • Partial-credit engineering: banking points on problems you cannot finish
Projects You Build
  • Self-graded FRQ portfolio: one of each archetype against real rubrics
  • Personal pacing plan for all four exam sections
Practice & Assignments

Grade two of your own completed FRQs point by point against the released rubric and rewrite any justification that would not earn credit.

Topics Covered
  • Full-length mocks under exact AP timing, AB or BC as registered
  • Question-by-question review: reasoning, rubric, and the named fix
  • Error-log closure and final target calibration
  • Peak-week plan: light practice, rest, logistics and warm-up routine
  • Exam-day rituals: the reset after a hard FRQ, time checkpoints per section
Projects You Build
  • Two full mock cycles with documented score progression
  • Written exam-day plan, rehearsed before the real morning
Practice & Assignments

Sit one full length timed mock this week and close your error log so every recurring mistake has a written, named fix.

Projects You'll Build

Build a professional portfolio with 5+ exam artifacts including full mock cycles real-world projects.

Year-long error log and precalculus gap map
Self-graded FRQ portfolio covering every archetype against real rubrics
Series convergence decision tree and personal formula sheets (BC)
Two full mock cycles with documented score progression
Written exam-day plan rehearsed before May

Weekly Learning Structure

Live Classes
2 one-hour live classes with your mentor
Problem Sets
One curated set per week, reviewed in class
Timed Work
Timed sections increasing in frequency toward May
Total Per Week
About 4-5 focused hours
Homework
A problem set after every class, and a monthly mixed-review assignment that deliberately folds in earlier topics

Certification & Recognition

Completion
Certificate from Modern Age Coders, awarded on passing the final assessment. Fall short and there is focused revision and a free retest: the certificate certifies mastery, not attendance

Technologies & Skills You'll Master

Comprehensive coverage of the entire modern web development stack.

Limits, continuity and the derivative as ideas
The full derivative toolkit at exam speed
Curve analysis, optimization and motion
Integrals, the FTC and accumulation reasoning
Differential equations and slope fields
Series, parametrics and polar (BC)
FRQ rubric craft and justification writing
MCQ pacing and calculator-section strategy

Support & Resources

Live Sessions
8 live one-hour classes every month, 2 per week
Mentorship
One dedicated mentor across the whole year
Recordings
Every class recorded for revision
Progress Tracking
Error log + mock progression shared with parents
Flexibility
Intensity adjusts around school exams and mock weeks

Career Outcomes & Opportunities

Transform your career with industry-ready skills and job placement support.

Prerequisites

Education
Enrolled in (or about to start) AP Calculus AB or BC, typically grades 11-12
Math Background
Precalculus completed at any comfort level, the diagnostic finds the real base and we repair inline
Equipment
Computer with stable internet; an approved graphing calculator for the calculator sections
Time Commitment
2 live hours plus 2-3 practice hours weekly
English
Course taught in English
Motivation
The May exam date does the motivating; we supply the method

Who Is This Course For?

Ab Students
AP Calculus AB students who want the ideas owned and the exam trained, not just survived
Bc Students
BC students who need series, parametrics and polar taught properly, plus the pace to finish strong
Struggling Mid Year
Students whose first-semester grade says the memorize-and-hope approach is failing
Score Maximizers
Strong students hunting a 5 through FRQ craft and error elimination
Self Studiers
Disciplined students taking the exam without an AP class at school

Career Paths After Completion

A 4-5 on AP Calculus, with the college-credit positioning that follows
Engineering, CS and quantitative-major readiness built on real understanding
A lighter, calmer first-year college math experience
Ready for the College Mathematics Masterclass or competition mathematics

Course Guarantees

Live Classes
Live, interactive classes with a real instructor, never pre-recorded videos.
Small Batches
Small batches only: group classes are capped at 10 students, with mini-batch (3 to 4 students) and personal 1-on-1 options.
Structured Curriculum
A structured, well-paced curriculum taught step by step, with hands-on practice in every session.
Doubt Support
Doubt support between classes over WhatsApp, so you are never left stuck.
Certificate
A certificate you earn by passing the final assessment, with a free retest after revision if needed.
Priority Demo
See a full live class of about 45 to 60 minutes with a mentor reserved for you before you enrol. Book a Priority Demo
Real Assessment
Classwork every session, a problem set after every class, monthly reviews that mix in earlier topics, and a full mock AP-style paper as the final assessment that decides the certificate: real understanding, with a free retest after revision if needed.
📸 Straight from our camera roll

Real students. Real moments. Real joy.

These are our actual student meetups. No stock photos, no filters. Swipe through and meet the community you'll be joining.

Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the August 2026 student meetup
Meetup · 2 Aug 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the August 2026 student meetup
Meetup · 2 Aug 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the August 2026 student meetup
Meetup · 2 Aug 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the August 2026 student meetup
Meetup · 2 Aug 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the August 2026 student meetup
Meetup · 2 Aug 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the August 2026 student meetup
Meetup · 2 Aug 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
Modern Age Coders students and mentors at the July 2026 student meetup
Meetup · 6 July 2026
💛 Real families, real words

What families say

Straight from the parents and students who learn with us. Rated 4.9 across 547 Google reviews.

“Mivaan enjoys the class. He understands the concepts and completes his tasks with excitement. He started taking interest in coding… truly amazing class.”

Shradha SarafParent of Mivaan

“I absolutely love it here! I made new friends and learned important valuable coding skills while having the fun of my life. It's not just coding here, it's outings, bonding and most importantly preparing you for your future. Definitely five stars.”

Yug RathoreStudent

“What stands out most is how excited my son is before every class. He looks forward to learning, problem-solving, and sharing what he's built. I've noticed a big boost in his confidence!”

Poonam RathoreParent

“Modern Age Coders has been a game-changer for me! I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I'm now the topper in my class and can confidently write complex programs with ease.”

Samriddha MondalStudent

“Modern Age Coder have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence, keeps them updated with technology, and inspires them to learn without hesitation.”

Sonu GoyalParent

“The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it.”

Ria MukherjeeParent

“Coding classes here make learning very interesting and conceptual. The teachers teach us in a very easy-to-understand and efficient manner.”

Arush PoddarStudent

“One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development. Learning here has been a wonderful journey and still continuing.”

Vansh AgarwalStudent

“I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding. They make every session engaging and insightful.”

Ritu KediaParent

“My child Dhairya is really enjoying the Modern Age Coder IT classes. This is his first online class, and he eagerly looks forward to it.”

Sonam OswalParent of Dhairya

“Very good classes. Don't worry about coding. They teach the best, especially Shivam sir.”

Shaarav WadhwaStudent

“Very good classes. Makes learning very easy and interactive.”

Vineeta ShyamsukhaParent
🎬 Press play

Hear it from our students

Real parents and students in their own words, on our public YouTube channel.

Harnoor Kaur0:31
Adishree0:59
Muqeem0:48
Ayushi0:51
Aarya Shee0:53
Sahreen1:00
Pratik0:47
Before you decide

Straight answers about AP Calculus AB & BC Exam Prep, Live Online, Score 5 Goal

Who should take this course?
AP Calculus AB and BC students, grades 11-12. It suits ap calculus ab students who want the ideas owned and the exam trained, not just survived; bc students who need series, parametrics and polar taught properly, plus the pace to finish strong; students whose first-semester grade says the memorize-and-hope approach is failing.
What will they learn and build?
A 10-month live program that runs alongside your student's AP Calculus course and aims squarely at the exam. All of calculus is three ideas, the limit, the derivative, the integral, and students who own them as ideas find the AP exam fair.
How deeply are topics covered?
The course runs 10 months (40 weeks) at 2 live one-hour classes per week + weekly problem sets, across 3 phases listed week by week in the syllabus below. A structured, well-paced curriculum taught step by step, with hands-on practice in every session.
Who teaches it?
Modern Age Coders mentors, who teach the live classes themselves. You can watch them at work in the free class recordings before you decide.
How do practice, feedback and assessment work?
Classwork every session, a problem set after every class, monthly reviews that mix in earlier topics, and a full mock AP-style paper as the final assessment that decides the certificate: real understanding, with a free retest after revision if needed. Doubt support between classes over WhatsApp, so you are never left stuck. A certificate you earn by passing the final assessment, with a free retest after revision if needed.
What does it cost?
Three monthly plans: a group batch, a mini batch and 1-on-1. Prices are shown in your currency in the plans section. Monthly billing, cancel any time.
When can classes take place?
Live classes are scheduled around your week. Group batches meet at a fixed weekly slot; 1-on-1 students choose their own. International students are scheduled in their own timezone. Ask on WhatsApp for the current slots.
Can I watch the teaching before deciding?
Yes. Full recordings of real 13 and up classes are free to watch, free with a Google sign-in. These recordings show how we teach, not the exact syllabus of this course. Some classes are in English and some in Hindi; everyone follows at their own pace. Watch a class end to end, like you are in it. Sessions are interactive and each moment builds on the last.
Can I enroll without a live demo?
Yes. Choose a plan on this page and enrol directly; a demo is not required. If you would like to see a full class with a mentor first, book a Priority Demo.
How do I reach you with a question?
WhatsApp +91 91233 66161, email connect@modernagecoders.com, or call +91 91233 66161. Tell us the student's age and what they have learned so far, and we will point you to the right plan and batch.
Frequently Asked Questions

Common Questions About AP Calculus AB & BC Exam Prep, Live Online, Score 5 Goal

Get answers to the most common questions about this comprehensive program

Still have questions? We're here to help!

Contact Us

Ready to start AP Calculus AB & BC Exam Prep, Live Online, Score 5 Goal?

Book a Priority Demo to see a full live class with a mentor reserved for you, today or tomorrow. Or choose a plan and enrol now.

Questions? WhatsApp +91 91233 66161 or email connect@modernagecoders.com

Keep exploring Modern Age Coders

Related courses

Learn more

From the blog

Start here

Ask Misti AI
Chat with us
Enroll Watch Class Priority Demo Enrol Book a Demo Watch Class WhatsApp Book demo today