Foundational Physics: Vectors, Kinematics, and Calculus Basics

Success in engineering and technical sciences begins with a rock-solid understanding of fundamental physics principles and the mathematics that govern them. This course provides a complete text-based introduction to the essential mathematical tools and conceptual framework required to solve complex mechanics problems confidently. You will learn how to translate physical scenarios into solvable mathematical equations. What you'll learn: * Understand the principles of dimensional analysis and unit conversion to verify the validity of physical equations. * Master vector algebra, including component decomposition, dot products, and cross products, crucial for 2D and 3D analysis. * Apply fundamental calculus (differentiation and integration) to model instantaneous velocity, acceleration, and displacement in kinematics. * Practice solving 1D and 2D motion problems, including projectile motion, using kinematic equations derived from first principles. * Learn rigorous problem-solving methodologies and structured approaches essential for high-stakes technical examinations. The course begins by establishing the language of physics—units, dimensions, and measurement—before diving into the core mathematical tools: vectors and introductory calculus. The final sections apply these tools directly to the study of motion (kinematics). This course is designed for absolute beginners or students needing to rebuild their physics foundation before tackling high-level academic or technical programs. No prior advanced physics knowledge is required. Start building your foundational physics expertise today.