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Course Level

AP Level (Calculus-Based)

Total Duration

55 Hours

Format

Online 1-on-1

Prerequisites

Calculus AB or concurrent enrollment

Course Overview

Our AP Physics C: Mechanics course represents the gold standard of high school mechanics education, providing a rigorous, calculus-based treatment of classical mechanics. This course is designed for students who want to experience physics at the college level and develop the mathematical sophistication required for advanced STEM fields.

AP Physics C: Mechanics is equivalent to a semester-long, calculus-based college mechanics course. Unlike algebra-based physics courses, this program integrates calculus throughout, using derivatives to describe motion and integrals to solve energy and momentum problems. Students will develop both conceptual understanding and advanced mathematical problem-solving skills essential for engineering and physics majors.

Calculus Integration

This course requires calculus! You'll use derivatives to analyze motion, integrals to calculate work and impulse, and differential equations to solve complex mechanics problems. Concurrent enrollment in AP Calculus AB or prior completion is essential.

Essential Prerequisites

Mathematics: AP Calculus AB (concurrent enrollment acceptable) or equivalent

Physics Background: Strong algebra-based physics foundation recommended (AP Physics 1 or equivalent)

Mathematical Skills: Comfort with derivatives, integrals, and basic differential equations

AP Exam Information

Exam Date: May 2026 | Duration: 90 minutes | Format: Multiple Choice (45 min) + Free Response (45 min)

The exam emphasizes mathematical reasoning, with heavy use of calculus in problem-solving. Free response questions often require setting up and solving differential equations.

What Makes Our Course Special

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Recorded Sessions

Access to all live session recordings for review and reinforcement at your own pace

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WhatsApp Support

24/7 support for quick questions and clarifications outside of scheduled sessions

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Proctored Tests

Regular assessments under exam conditions to track progress and build exam confidence

Calculus Integration

Seamless integration of calculus concepts with physics, building mathematical sophistication

What You'll Learn

  • Master calculus-based approach to all fundamental mechanics concepts
  • Develop advanced mathematical problem-solving skills using derivatives and integrals
  • Learn to set up and solve differential equations for physics problems
  • Understand the mathematical foundations underlying physical laws
  • Build skills essential for engineering and physics coursework
  • Practice rigorous mathematical reasoning and proof techniques
  • Develop intuition for when and how to apply calculus to physical problems
  • Master advanced exam strategies for calculus-based physics problems

Detailed Course Curriculum

  • Unit 1: Kinematics 8 hours

    Calculus-based treatment of motion in one and multiple dimensions.

    • Position, velocity, and acceleration as vector functions
    • Using derivatives to find velocity and acceleration from position
    • Integration to find position and velocity functions
    • Parametric equations for projectile motion
    • Calculus approach to circular motion and centripetal acceleration
  • Unit 2: Newton's Laws of Motion 8 hours

    Force analysis with calculus, including variable forces and differential equations.

    • Newton's laws with calculus-based mathematical treatment
    • Variable forces and F = ma as a differential equation
    • Motion with air resistance and terminal velocity
    • Spring forces and simple harmonic motion differential equations
    • Advanced applications of Newton's laws using calculus
  • Unit 3: Work, Energy, and Power 9 hours

    Energy concepts with integral calculus and advanced applications.

    • Work as line integral for variable forces
    • Kinetic energy theorem with calculus derivation
    • Potential energy functions and conservative forces
    • Energy conservation in complex systems
    • Power as derivative of work, variable power applications
  • Unit 4: Systems of Particles and Linear Momentum 8 hours

    Center of mass, momentum, and collisions with calculus-based analysis.

    • Center of mass calculations using integration
    • Linear momentum and impulse-momentum theorem
    • Conservation of momentum in complex systems
    • Variable mass systems and rocket motion
    • Advanced collision analysis with calculus
  • Unit 5: Rotation 10 hours

    Comprehensive treatment of rotational motion using calculus.

    • Angular kinematics with calculus approach
    • Moment of inertia calculations using integration
    • Rotational dynamics and Newton's second law for rotation
    • Rolling motion without slipping
    • Angular momentum and its conservation
  • Unit 6: Oscillations 8 hours

    Simple harmonic motion through differential equations and calculus.

    • Simple harmonic motion differential equation
    • Solutions to SHM equation using calculus
    • Energy in oscillatory systems
    • Damped and driven oscillations
    • Advanced applications of oscillatory motion
  • Unit 7: Gravitation 4 hours

    Universal gravitation with calculus-based approach to orbital mechanics.

    • Newton's law of universal gravitation
    • Gravitational potential energy using integration
    • Orbital mechanics and Kepler's laws
    • Escape velocity and gravitational binding energy
    • Advanced gravitational field calculations

Course Investment

$ 1250

Complete 50-hour AP Physics C Mechanics course with all materials and resources included

Payment Options: Full payment or 3 monthly installments of $417

Includes: All sessions, recorded materials, practice tests, WhatsApp support, and exam prep resources

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💡 Note: All prices are in USD. Course is delivered online with flexible scheduling to accommodate different time zones.

Ready to Master Calculus-Based Mechanics?

AP Physics C: Mechanics represents one of the most rigorous and rewarding courses available at the high school level. This course will not only prepare you for the AP exam but also provide you with the mathematical sophistication and problem-solving skills essential for success in engineering, physics, and other quantitative fields.

Students who complete this course often find their college physics and engineering courses much more manageable, having already developed comfort with the mathematical tools and reasoning patterns used in advanced STEM education. The combination of deep conceptual understanding and mathematical rigor makes this course invaluable preparation for technical careers.

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