In this video, we explain vectors and derivatives as essential math methods used in physics, showing how they describe motion, direction, and change. Clear explanations and examples help connect ...

(In contrast a scalar quantity has magnitude only - eg, the numbers 1, 2, 3, 4...) The diagram above represents a vector. The arrow displays its direction, hence this ...

Find out why the most popular mathematical subjects in engineering in 2026 are calculus and linear algebra. Discover how ...

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

A vector can be represented by a line segment labelled with an arrow. A vector between two points A and B is described as: \(\overrightarrow{AB}\), \(\mathbf{a}\) or \(\underline{a}\). The vector can ...

In this video, we create a sonar bearing rate graph using vectors, showing how relative motion and vector math determine bearing changes over time. Learn the key equations, how to compute bearing rate ...

F10 12/16/10 Ross (Final Exam) all from 10/08 and 11/12 exams plus paths, arclength, line integrals, double integrals, surface integrals, fundamental theorem for path integrals, Green’s Theorem, ...

If you are a new engineering first-year student starting in the fall semester, you will most likely be pre-enrolled in an Applied Math (APPM) pre-calculus or calculus course based on patterns of prior ...