Classical Mechanics: Modeling Motion with Calculus

Do you want to move beyond simple algebraic formulas and truly understand the physics governing motion, forces, and energy? Calculus provides the powerful mathematical language necessary to model and solve complex mechanical systems. By the end of this course, you will be able to formulate and solve complex physics problems using derivatives and integrals, gaining a deep, quantitative understanding of kinematics, dynamics, and conservation principles. What you'll learn: * Understand the mathematical definitions of position, velocity, and acceleration using derivatives and integrals. * Apply Newton's Laws of Motion to dynamic systems, including those with variable forces. * Analyze work, kinetic energy, and potential energy through the application of line integrals. * Practice solving problems involving conservation of linear momentum and mechanical energy in various systems. * Model and solve problems related to simple harmonic motion and damped oscillation. The course begins with foundational concepts in kinematics and vector analysis, progressively building through Newton's laws and advanced topics like rotational dynamics and conservation principles. Each section includes detailed written explanations and worked-out examples for thorough practice. This course is designed for absolute beginners in college-level physics who possess a working knowledge of differential and integral calculus. No prior physics experience is required. Start building your quantitative foundation in the science of motion today.