This chapter provides preliminary videos on key math skills and approaches needed for introductory classical mechanics.
This problem solving video reviews some of the key properties of vector quantities in physics, as well as operations such as addition and subtraction, scalar multiplication, the dot product, and the cross product.
This problem solving video reviews the main coordinate systems used for1D Iinear), 2D (linear and polar), and 3D kinematics (linear, cylindrical, and spherical) systems, and how to properly express vector quantities in these systems.
This problem solving video reviews some of the key math skills you'll use in introductory classical mechanics, including trigonometry for vectors, using ratios, basic calculus, graphical interpreting of differentiation and integration, and recognizing common functional relationships.
The problem solving video explores how to determine if vector components in a rectangular coordinate system involve sine or cosine terms, by showing both the trigonometric solution and how check your answer by looking at extreme values of an angle.
This problem solving video illustrates how to use the dimensions of physical quantities - their units - to derive physical relationships such as the period of a pendulum and the drag force equation.
Worksheet 1.1: Math Fundamentals
This worksheet focuses on math fundamentals, including: vectors & trigonometry, units, dimensional analysis, and estimation. Match to videos 0.1P-0.5P.
Introductory Classical Mechanics Videos were created by Adam Burgasser and the UCSD Educational Technology Services (ETS)
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