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 Course completion certificate + documented mock-exam progression
AP Calculus AB & BC Exam Prep Course — Live Online Classes, Score 5 Goal

Flexible course duration

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

Standard pace6–9 months
AcceleratedAdd class frequency to finish faster

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

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

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

Group Classes

₹1,499/month

2 Classes per Week · Up to 10 students

Enroll Now

Personalized 1-on-1

₹4,999/month

2 Private Classes per Week

Enroll Now

International Students (Outside India)

Group Classes
$40
USD / month
2 Classes per Week
Enroll Now
Recommended
Personalized
$100
USD / month
2 Classes per Week · 1-on-1
Enroll Now

Also available in EUR, GBP, CAD, AUD, SGD & AED. Contact us for details.

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
  • Personal error log and gap map for the whole year
  • Limit-evaluation toolkit sheet, built not copied
📚 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
  • Shrinking-interval investigation: one data table to both core ideas
  • Timed derivative gauntlet at exam pace, reviewed for error patterns
📚 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
  • Related-rates case set: five classic setups from picture to answer
  • Phase checkpoint: timed AB-style mixed section with full review
📚 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
  • Full f-f'-f'' graph-relationship FRQ solved and self-graded on the rubric
  • Optimization mini-case portfolio: fence, box, cost, distance
📚 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
  • Riemann-to-FTC investigation: watching sums converge
  • Accumulation FRQ set against real rubrics
📚 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
  • Volume gallery: one solid each way, from sketch to setup to answer
  • AB mock exam number one with documented score
📚 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
  • Series convergence decision-tree card, built by the student
  • Parametric motion mini-case (BC) / AB mixed mock section (AB)
📚 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
  • Self-graded FRQ portfolio: one of each archetype against real rubrics
  • Personal pacing plan for all four exam sections
📚 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
  • Two full mock cycles with documented score progression
  • Written exam-day plan, rehearsed before the real morning

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

Certification & Recognition

🏆
Final Certificate
Course completion certificate from Modern Age Coders
🏆
Score Record
Documented diagnostic-to-final mock progression
🏆
Portfolio Projects
FRQ portfolio as evidence of rubric mastery

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

Salary Expectations

Competitive industry salaries

Course Guarantees

Free Demo
A free live demo class that doubles as the diagnostic — before any payment
Recorded Classes
All live sessions recorded
No Lock In
Monthly billing, cancel any time, no registration fee
Honest Targets
Evidence-based score guidance — never invented promises
Certificate
Completion certificate plus documented mock progression

What Families Say

Real feedback from the parents and students who learn with us.

★★★★★ 4.9 average · 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."

S
Shradha Saraf
Mother of Mivaan
★★★★★

"My son struggled with maths for years. Integrating it into coding projects has transformed how he thinks — he now genuinely enjoys both."

S
Shewta Singh
Mother of Ishan
★★★★★

"Modern Age Coders has wonderful teachers who teach in a clear, easy and practical way. My son looks forward to every single class."

S
Sonu Goyal
Father of Nikit
★★★★★

"Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts before — now they finally click, and I actually look forward to learning."

S
Samridho Mondal
Student · Grade 9
Read & write reviews on Google
Frequently Asked Questions

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

Get answers to the most common questions about this comprehensive program

Still have questions? We're here to help!

Contact Us

Feedback from our families

Real parents and students, in their own words. Press play on any story — or watch the full Wall of Love and our complete feedback playlist.

Pure Love & Joy2:30
Honest Feelings1:45
Life Changing Moments4:10
Proud & Happy3:05
Sweet Memories2:15
Heartfelt Stories3:20
Genuine Smiles2:45

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

Book a free demo class to meet your mentor and see how we teach — no commitment. Or enrol now and start this week.

Ask Misti AI
Chat with us