This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets.

" We will study the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. We will use computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration. We will consider the following topics: the Lagrangian formulation; action, variational principles, and equations of motion; Hamilton's principle; conserved quantities; rigid bodies and tops; Hamiltonian formulation and canonical equations; surfaces of section; chaos; canonical transformations and generating functions; Liouville's theorem and PoincarĚŠ integral invariants; PoincarĚŠ-Birkhoff and KAM theorems; invariant curves and cantori; nonlinear resonances; resonance overlap and transition to chaos; properties of chaotic motion. Ideas will be illustrated and supported with physical examples. We will make extensive use of computing to capture methods, for simulation, and for symbolic analysis."

This short video and interactive assessment activity is designed to teach third graders about classifying all types of triangles by lengths of sides.

Students learn about gear ratios and power by operating toy mechanical cranes of differing gear ratios. They attempt to pick up objects with various masses to witness how much power must be applied to the system to oppose the force of gravity. They learn about the concept of gear ratio and practice calculating gear ratios on worksheets, discovering that smaller gear ratios are best for picking objects up quickly, and larger gear ratios make it easier to lift heavy objects.

Coding is a skill that all students need for 21st century careers. There are many neat new programs that teach the foundation for programming. The programs use blocks with commands that students connect together to achieve the goal.

Investigate collisions on an air hockey table. Set up your own experiments: vary the number of discs, masses and initial conditions. Is momentum conserved? Is kinetic energy conserved? Vary the elasticity and see what happens.

This short video and interactive assessment activity is designed to teach fifth graders about ordering fractions with different denominators.

This short video and interactive assessment activity is designed to teach fourth graders about finding and completing the number patterns.

This short video and interactive assessment activity is designed to teach fourth graders about completion of number patterns.

This Nrich activity, in line with the theme for this month, offers an 'action' to perform on a group of numbers which pupils can continue and explore. Or, you could think of the writing down of the 'description' of a sequence as an action performed on that sequence. It might particularly appeal to those pupils who enjoy number work but who are perhaps not used to succeeding in this area.

This short video and interactive assessment activity is designed to teach third graders about determining unknown angles in parallelograms.

This short video and interactive assessment activity is designed to teach third graders about determining unknown angles in trapezoids.

This short video and interactive assessment activity is designed to teach third graders about determining unknown angles within rectangles and squares.

This short video and interactive assessment activity is designed to teach fifth graders about dividing fractions by fractions.

This short video and interactive assessment activity is designed to teach third graders about dividing by 10.

This short video and interactive assessment activity is designed to teach third graders about dividing by 2.

This short video and interactive assessment activity is designed to teach third graders about dividing by 3.

This short video and interactive assessment activity is designed to teach third graders about dividing by 4.

This short video and interactive assessment activity is designed to teach third graders about dividing by 5.

This book is designed for MTH070, Elementary Algebra, at BMCC. The student will study and demonstrate knowledge of basic algebraic notation, linear equations and inequalities, graphing, linear systems, exponents, polynomials, and related application problems.