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Mathematics
One semester of college calculus

AP Calculus AB

Master limits, derivatives, and integrals with a focus on conceptual understanding and problem-solving skills.

AP Calculus AB is equivalent to a first-semester college calculus course. The course covers fundamental concepts including limits, derivatives, definite and indefinite integrals, and the Fundamental Theorem of Calculus. Students develop mathematical practices including reasoning with definitions and theorems, connecting concepts, and implementing algebraic/computational processes.

69 hrs
Total Instruction
Max 6
Students Per Group
10
Full Mock Exams
8 mo
Program Duration
Course Introduction

Why AP Calculus AB Matters

Scoring well on AP Calculus AB demonstrates your readiness for college-level work and can earn you valuable credit, saving time and money in your undergraduate studies.

Foundation for all STEM majors
Required for engineering, physics, economics, and computer science programs
Demonstrates readiness for rigorous college coursework
Can save thousands in college tuition by earning credit
College Equivalent

Calculus I (MATH 131 or equivalent)

Required/Recommended for Majors
Engineering
Physics
Computer Science
Economics
Mathematics
Chemistry
Biology
Pre-Medicine
Architecture
Data Science
Exam Format
Multiple Choice45 questions (50%)
Free Response6 questions (50%)
8-Month Curriculum

Complete College Board Syllabus Coverage

Every single unit from the official College Board curriculum is covered in depth over 69 hours of instruction.

Unit 1
10-12% of exam
Limits and Continuity
Defining limitsEstimating limitsDetermining limitsSqueeze theoremContinuityInfinite limits
Unit 2
10-12% of exam
Differentiation: Definition and Properties
Average vs instantaneous rate of changeDerivative definitionDerivative rulesDerivatives of trig functions
Unit 3
9-13% of exam
Differentiation: Composite, Implicit, Inverse
Chain ruleImplicit differentiationInverse function derivativesHigher-order derivatives
Unit 4
10-15% of exam
Contextual Applications of Differentiation
Related ratesLinear approximationL'Hospital's RuleMean Value Theorem
Unit 5
15-18% of exam
Analytical Applications of Differentiation
Extreme valuesFirst derivative testSecond derivative testOptimizationCurve sketching
Unit 6
17-20% of exam
Integration and Accumulation of Change
Riemann sumsDefinite integralsFundamental Theorem of CalculusAntiderivatives
Unit 7
6-12% of exam
Differential Equations
Slope fieldsSeparation of variablesExponential growth/decayInitial value problems
Unit 8
10-15% of exam
Applications of Integration
Area between curvesVolumes of revolutionAverage value of functions
10+ Years of Experience

Our Teaching Approach

We focus on both deep conceptual understanding AND exam-specific problem-solving techniques.

Conceptual Understanding
Building deep knowledge that lasts
  • Build intuition for limits before memorizing rules
  • Understand the relationship between derivatives and integrals
  • Connect graphical, numerical, and algebraic representations
  • Focus on 'why' methods work, not just 'how'
Exam-Specific Strategies
Techniques that maximize your score
  • Practice free-response questions with time constraints
  • Learn to show work clearly for partial credit
  • Master calculator functions for Section I Part B
  • Review common mistakes and how to avoid them
Comprehensive Resources

Materials & Past Paper Archive

Access homework systems, 10 years of past papers, and custom-prepared digital materials.

Homework System

Weekly problem sets covering each unit with detailed solutions and video explanations

Past Paper Archive

Complete archive of AP Calculus AB free-response questions from 2013-2024 with scoring guidelines

Digital Materials
  • Interactive limit and derivative visualizations
  • Step-by-step integration technique guides
  • Formula sheets and quick reference cards
  • Video library of 200+ worked examples
  • Practice quizzes for each unit
Practice Makes Perfect

10 Full-Length Online Mock Exams

Our mock exam phase begins 2 months before the May exam. We replicate exact exam conditions and analyze errors immediately after each mock to maximize score improvement.

  • Full 3-hour 15-minute exams matching College Board format
  • Both calculator and non-calculator sections included
  • Instant scoring with detailed answer explanations
  • Error analysis identifying specific concept gaps
  • Performance tracking across all 8 units

Score Improvement Cycle

1
Take Full Mock Exam
Under real timing conditions
2
Immediate Error Analysis
Detailed review with instructor
3
Targeted Practice
Focus on weak areas identified
4
Repeat & Improve
Track progress across 10 mocks
Choose Your Path

Group Course vs Private Tutoring

Both options provide comprehensive AP Calculus AB preparation. Choose based on your learning style and budget.

40% Better Value
Group Course
Maximum 6 students per group
$2,300total

or payment plans available

  • 69 hours of live instruction
  • Small group (max 6 students)
  • 10 full-length mock exams
  • Complete digital materials
  • Weekly homework with solutions
  • Session recordings access
  • Direct instructor messaging
Enroll in Group Course
Private Tutoring
1-on-1 personalized instruction
$3,800total

for equivalent 69 hours

  • Fully customized schedule
  • 100% focused attention
  • Pace adjusted to your needs
  • All group course materials
  • Priority instructor access
  • Flexible rescheduling
  • Additional practice sessions
Request Private Tutor

Ready to Master AP Calculus AB?

Join students who have achieved 4s and 5s with our comprehensive 8-month preparation program.

100% money-back guarantee if not satisfied after the first week