Calculus-Based Physics: Mastering Mechanics and Electromagnetism

Are you struggling to move beyond basic textbook examples and apply physics principles to challenging, non-standard problems? Achieving true mastery in advanced physics requires a deep conceptual understanding combined with strong mathematical application skills. This intensive, text-based course provides the foundational knowledge and structured practice necessary to tackle complex physics scenarios with confidence. You will learn how to systematically break down problems, analyze physical systems using calculus, and build the rigorous analytical skills demanded for deep conceptual understanding. What you'll learn: * Master vector analysis and differential equations as applied to kinematic and dynamic systems in 2D and 3D space. * Apply conservation laws (energy, momentum, and angular momentum) to solve complex collision and rotational dynamics problems. * Understand the fundamental principles of electrostatics and magnetostatics, including Gauss's Law and Ampère's Law in integral form. * Analyze oscillating systems and wave mechanics using differential equations and superposition principles. * Practice structured problem-solving methodologies to accurately model physical situations and derive quantitative solutions. The course begins with foundational concepts in dimensional analysis and mathematical tools, progresses through detailed sections on Newtonian mechanics and conservation principles, and concludes with a thorough exploration of electric and magnetic fields. Written explanations are paired with numerous solved examples and written exercises focusing on conceptual depth. This course is designed for serious students and ambitious beginners who have a basic understanding of introductory physics and are comfortable with introductory calculus. No prior experience with advanced physics problem sets is required, only a willingness to engage in rigorous practice. Start building your mastery of physics problem-solving today.