Applied Mathematics: Fundamentals of Statics and Dynamics

Do you need a solid foundation in the mechanics of objects at rest and in motion? Understanding Statics and Dynamics is crucial for success in physics, mathematics, and all engineering disciplines. This course provides a rigorous, text-based introduction to classical mechanics, enabling you to confidently analyze force systems, calculate moments, determine equilibrium conditions, and solve problems involving particle and rigid body kinematics and kinetics. What you'll learn: * Understand the fundamental concepts of force systems, vectors, and Newton's Laws as applied to classical mechanics. * Analyze two-dimensional and three-dimensional rigid body equilibrium using free-body diagrams and algebraic methods. * Practice solving kinematics problems for particles and rigid bodies involving displacement, velocity, and acceleration. * Apply the principles of work, energy, impulse, and momentum to solve kinetics problems efficiently. * Master vector notation and coordinate systems to accurately represent forces and motion in complex scenarios. We begin with foundational definitions and vector mathematics before moving into the analysis of static equilibrium. The course then transitions to dynamics, covering the motion of particles and the kinetics of rigid bodies, emphasizing structured problem-solving techniques throughout. This course is designed for absolute beginners, including students starting their studies in engineering, physics, or applied mathematics. No prior knowledge of mechanics is required, only basic algebra. Start building your foundational understanding of how the physical world works today.