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

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

Flexible course duration

Duration depends on the student's background and pace. Beginners (kids / teens): typically 6 to 9 months. Adults with prior knowledge: often shorter, with an accelerated path.

Standard pace6 to 9 months
AcceleratedAdd class frequency to finish faster

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

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

Choose your plan and start your journey into the future of technology today.

Rated 4.9 across 547 Google reviews. Free demo first, no card needed. Monthly billing, cancel anytime.

Group Classes

₹1,499/month

2 Classes per Week · Up to 10 students

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Personalized 1-on-1

₹4,999/month

1 Private Class per Week · 4 a Month

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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.
Free Demo
A free demo class before you enrol, so you can decide with no pressure.
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.

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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
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