Concise Modular Calculus 61 97

Explains how vectors are quantities with magnitude and direction. Justifies the component representation of vectors by showing ...

Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ...

Explains limits at a point. Shows graphical, numerical and symbolic examples. Emphasizes computation that does not rely on ...

Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ...

Explains what

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Derives the scalar product as the appropriate tool to compute the work done by a constant force along a straight line of travel.

Defines sequences as, well, sequences of numbers. Explains how the limit of a sequence governs the sequence's long-term ...

Justifies the cross product as the appropriate tool to compute the force on a moving charge that travels in a magnetic field. Derives ...

Explains the expected value as a measure where a distribution is centered and the variance as a measure of how much a ...

In this video, I define what a vector is and how it is written. Any questions or suggestions, contact me at jdmathguy@gmail.com.

In this video, we use energy and momentum balance equations to check position and velocity of a body in projectile motion.