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ProdigicTut

Group course

AP CALCULAS

8 months · Live online classes · Starts September 1, 2026

$799 for the full course

Schedule

Tuesday, Thursday 5:00 PM - 6:30 PM

India time (IST)

Your time:

Starts
Sep 1, 2026
Ends
TBA

About this course

Live online group classes that work through the full syllabus below, with practice and feedback every week.

Syllabus

What the course covers

11 units, taught in order in live classes. Tap a unit to see its topics.

  1. 1 Unit 1: Limits and Continuity
    • Limits from graphs, tables and algebra
    • Limits at infinity and asymptotes
    • Continuity and the intermediate value theorem
  2. 2 Unit 2: Differentiation: Definition and Fundamental Properties
    • The derivative as a limit
    • Power, product and quotient rules
    • Derivatives of trigonometric, exponential and log functions
  3. 3 Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
    • The chain rule
    • Implicit differentiation
    • Derivatives of inverse functions
    • Higher-order derivatives
  4. 4 Unit 4: Contextual Applications of Differentiation
    • Rates of change in context
    • Motion along a line
    • Related rates
    • Linearisation and L'Hôpital's rule
  5. 5 Unit 5: Analytical Applications of Differentiation
    • Mean value theorem
    • Extrema and the first and second derivative tests
    • Concavity and curve sketching
    • Optimisation
  6. 6 Unit 6: Integration and Accumulation of Change
    • Riemann sums and definite integrals
    • The fundamental theorem of calculus
    • Antiderivatives and substitution
    • Integration by parts and partial fractions (BC)
  7. 7 Unit 7: Differential Equations
    • Slope fields
    • Separation of variables
    • Exponential models
    • Euler's method and logistic models (BC)
  8. 8 Unit 8: Applications of Integration
    • Average value and accumulation
    • Area between curves
    • Volumes by cross-sections, discs and washers
    • Arc length (BC)
  9. 9 Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC)
    • Derivatives of parametric and vector functions
    • Polar curves and their area
  10. 10 Unit 10: Infinite Sequences and Series (BC)
    • Convergence tests
    • Taylor and Maclaurin series
    • Power series and the radius of convergence
  11. 11 Exam preparation
    • Calculator and non-calculator strategies
    • Free-response practice
    • Full-length timed practice exams

By the end of the course

  • Master the College Board AP Calculus AB units (plus Units 9–10 for BC)
  • Understand limits, derivatives and integrals, not just the rules
  • Apply calculus to motion, rates, optimisation and accumulation
  • Write complete, well-justified free-response answers
  • Go into the AP exam with full practice-test experience
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