Physics: Kinematics and Dynamics using Calculus

Ready to move beyond algebra in physics? Classical mechanics forms the bedrock of engineering and physical sciences, and understanding it requires a strong mathematical foundation. By completing this course, you will gain a deep, conceptual understanding of motion and force, enabling you to derive key physical relationships and solve complex problems using vector algebra and calculus techniques. What you'll learn: * Master the mathematical definitions of kinematic variables (position, velocity, acceleration) and their calculus relationships in one and two dimensions. * Apply Newton's Laws of Motion to rigorously analyze forces, calculate net force vectors, and solve dynamics problems for point masses. * Derive the Work-Energy theorem and the principle of Conservation of Energy using integral calculus techniques. * Practice setting up and solving initial value problems that describe the motion of objects under variable forces. * Analyze interactions using the concepts of impulse and linear momentum, including elastic and inelastic collisions. The course begins with foundational concepts in vector algebra and kinematics before progressing through Newton's Laws, work and energy, and momentum. The emphasis throughout is on developing robust problem-solving methodologies based on mathematical derivation. This course is designed for absolute beginners in calculus-based physics who are ready for a mathematically rigorous introduction to the subject. No prior college-level physics knowledge is required. Start building your essential foundation in classical mechanics today.