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所在平台: Udemy |
课程主页: https://www.udemy.com/course/fundamentals-of-engineering-exam-class-math-application/
课程评论：没有评论
** Coursera 课程总结：基础工程师考试数学应用 - 第二部分 ** 本课程旨在帮助学员掌握基础工程师考试（FE 考试）所需的关键数学知识。课程分为两个主要部分，共六个单元。 **第一部分：** * **最大值和最小值估算：** 学习如何确定函数图像的最大值和最小值。 * **曲率和曲率半径：** 理解并计算曲线的曲率和曲率半径。 **第二部分：积分技术与应用** * **积分技术：** 深入学习各种积分技巧。 * **面积和质心（C.G.）评估：** * **详细推导：** 对各种形状的面积和质心值进行完整推导。 * **方法：** 采用水平和垂直条纹法进行估算，并通过分解成更简单的形状（如矩形和三角形）来计算。 * **涵盖形状：** * **基本形状：** 三角形、矩形、梯形、平行四边形。 * **圆形相关形状：** 圆形、空心圆形、空心矩形、半圆形、四分之一圆形。 * **椭圆相关形状：** 椭圆、半椭圆。 * **其他形状：** 圆形扇形、圆形弓形、抛物线弧形、抛物线形。 * **特殊技巧：** * 半圆形和四分之一圆形的估算将使用扇形和积分法，四分之一圆形还将介绍三种不同的方法。 * 椭圆及其半部分的估算将使用参数方程。 * **教学特色：** * **全步骤讲解：** 提供详细的步骤说明。 * **多种方法：** 介绍不同的解题思路和方法。 * **清晰的符号：** 包含带清晰数学符号的字幕。 本课程将为考生打下坚实的数学基础，助力其顺利通过 FE 考试。
This Math class will cover part of the math items used for passing the Fundamentals of Engineering Examination, this is including Part 1: how To estimate Maximum, Minimum values of the graph, How to find curvature and the Radius of Curvature.A total number of six units are presented.As for Part -2:The Integration Technique is used, How to evaluate areas and c.g values.Complete proof for the tabulated values of various shapes, for Example:1-Triangle. For this, the area and Cg distance estimation is done using horizontal and vertical stripes.2-Rectangle. For this, the area and Cg distance estimation is done using horizontal and vertical stripes.3-Trapezium. Area and Cg distance are obtained by diving the Trapezium into one rectangle and two triangles.4-Parallelogram. Area and Cg distance are obtained by diving the parallelogram into one rectangle and two triangles.Round ShapesThe following shapes are included for the area and CG estimation:5-Circle.6-Hollow circle and Hollow rectangle.7-Half of a circle. Area and Cg distance are obtained by using a sector and making integration.8-Quarter of a circle. Three methods are used to estimate the area and the Cg distance.9-Ellipse. Area and Cg distance are obtained by using parametric equations.10-Half of Ellipse.11-Circular sector.12-Circular segment.13-Parabolic spandrel.14-Semi Parabola.Full step-by-step Explanation, Alternative methods used for explanation, closed caption containing clear Mathematical Symbols.
