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Applications of mathematics to electrical systems and circuits, and other fields of engineering, are presented along with examples.
These lecture notes accompany my online Coursera course, Calculus for Engineers. This course is designed for students who are proficient in mathematics up to the high school level.
Learners will investigate the rules and manipulation techniques of calculus and apply them to the solution of engineering problems, making them aware of the importance of understanding advanced mathematical techniques.
In engineering we normally view calculus as infinitesimal calculus which includes differential calculus, integral calculus, fractional calculus, calculus of variations, and tensor calculus (see vector discussion).
In this comprehensive guide, you will learn about the broad application of calculus in engineering by grasping the basic and advanced principles, and understanding its critical influence in various fields such as civil, electrical, mechanical, and aerospace engineering.
This calculus refresher resource contains a comprehensive review of derivatives, the product, quotient and chain rules, differentiation of functions, integration by parts and substitution, as well as partial fractions.
We have a collection of free Engineering Mathematics Videos. The topics covered are Chain rule, Partial Derivative, Taylor Polynomials, Critical points of functions, Lagrange multipliers, Vector Calculus, Line Integral, Double Integrals, Laplace Transform, Fourier series.
For example, in automotive engineering, calculus is used to calculate the acceleration and deceleration capabilities of a car, ensuring safe braking distances and smooth rides.
This textbook is a complete, self-sufficient, self-study/tutorial source of mathematical problems, essential in future studies and engineering practice.
This free online calculus course teaches introductory methods including derivatives, related rates, and integrals. The course consists of 46 tutorials which cover the material of a typical single variable calculus course (calculus I) at the university level.