Introduction to Dynamics

About the course

Dynamics is a branch of mechanics that studies the motion of objects under the influence of forces. It is fundamental to engineering, bridging theoretical principles from physics with practical applications to predict the motion of systems such as rockets, cars, and robots. Introduction to Dynamics is the first course on this topic, taken by engineering, mathematics, and science students.

My expertise

I specialize in mechanics, focusing on both theoretical and computational aspects of:

• Newtonian Mechanics: Principles governing motion and forces.
• Lagrangian Mechanics: Energy-based methods for dynamic systems.
• Hamiltonian Mechanics: Advanced formulations that extend dynamics to optimal control.

The aim of the course was for students to develop both a solid theoretical foundation and effective problem-solving skills.

Teaching approach

The teaching focused on clarity and engagement, helping students approach complex topics with confidence. Key features:

• Bite-Sized Video Lectures: Pre-class videos introducing core concepts and examples.
• Interactive Lectures: In-class sessions that expanded on the pre-class material with deeper theoretical insight.
• Mathematical Formalism: Formal methods that overcome the limitations of intuition-based problem-solving.

Why study dynamics?

Consider a simple question: if you drop a pen from your desk, what truly determines its trajectory? The intuitive answer might involve gravity, but a rigorous approach demands an understanding of differential equations, constraints, and possibly even perturbation theory. What if the pen is in free fall on the Moon? Or inside a rotating space station? The same fundamental principles govern everything from planetary orbits to the stabilization of legged robots.

The course challenged students to refine their thinking, replacing assumptions with precise models that describe reality with mathematical accuracy. These tools extend far beyond the classroom—to designing autonomous drones, optimizing mechanical systems, or advancing theoretical physics.

Dynamics is not about memorization or following recipes; it is about learning to see structure in motion and gaining the ability to predict and control it.