If so, then the "Modern Robotics: Mechanics, Planning, and Control" specialization may be for you. This specialization, consisting of six short courses, is serious preparation for serious students who hope to work in the field of robotics or to undertake advanced study. It is not a sampler.
In Course 3 of the specialization, Robot Dynamics, you will learn efficient numerical algorithms for forward dynamics (calculating the robot's acceleration given its configuration, velocity, and joint forces and torques) and inverse dynamics (calculating the required joint forces and torques given the robot's configuration, velocity, and acceleration). The former is useful for simulation, and the latter is useful for robot control. You will also learn how to plan robot trajectories subject to dynamic constraints.
This course follows the textbook "Modern Robotics: Mechanics, Planning, and Control" (Lynch and Park, Cambridge University Press 2017). You can purchase the book or use the free preprint pdf. You will build on a library of robotics software in the language of your choice (among Python, Mathematica, and MATLAB) and use the free cross-platform robot simulator V-REP, which allows you to work with state-of-the-art robots in the comfort of your own home and with zero financial investment.