AP Calculus AB & BC Exam Prep
Three ideas, taught like ideas, then trained against the real rubrics.
Syllabus updated August 2026
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.
For personalised duration planning, call +91 91233 66161 and we'll map a schedule to your goals.
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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
Career Progression
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.
Weekly Learning Structure
Certification & Recognition
Technologies & Skills You'll Master
Comprehensive coverage of the entire modern web development stack.
Support & Resources
Career Outcomes & Opportunities
Transform your career with industry-ready skills and job placement support.
Prerequisites
Who Is This Course For?
Career Paths After Completion
Course Guarantees
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