Calculus: Gradient, divergence and curl - Fundamentals of Engineering Exam Review

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Calculus: Gradient, divergence and curl - Fundamentals of Engineering Exam Review

The purpose of this course is to review the material covered in the Fundamentals of Engineering (FE) exam to enable the student to pass it. It will be presented in modules corresponding to the FE topics, particularly those in Civil and Mechanical Engineering. Each module will review main concepts, illustrate them with examples, and provide extensive practice problems.

I am out of school about 10 years and this course helped me to brush on the fundamental knowledge of engineering courses and further encouraged me to take the FE exam with vari,Respected Sir your method of teaching is marvellous. Even an average students can learn a very difficult subject very easily. Thank you. From- SANJAY SHANKAR
This module reviews the basic principles of mathematics covered in the FE Exam. We first review the equations and characteristics of straight lines, then classify polynomial equations, define quadric surfaces and conics, and trigonometric identities and areas. In algebra we define complex numbers and logarithms, and show how to manipulate matrices and determinants. Basic properties of vectors with their manipulations and identities are presented. The discussion of series includes arithmetic and geometric progressions and Taylor and Maclaurin series. Calculus begins with definitions of derivatives and gives some standard forms and computation of critical points of curves, then presents grad, del and curl operators on scalar and vector functions. Differential equations are calcified and to methods to solve linear, homogenous equations are presented. Fourier series and transforms are defined along with standard forms, and finally Laplace transforms and their inverse are discussed. In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 4.5 hours | Difficulty Level: Medium
Calculus: Gradient, divergence and curl - Fundamentals of Engineering Exam Review
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