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MATH Application-2 For the Fundamentals of Engineering Exam.

Name: MATH Application-2 For the Fundamentals of Engineering Exam.
Rating: 5.0 (1 reviews)

Evaluate Max and Minimum & Inflection points for Graphs, Plus Area and cg determination of various shapes in Details.

Created byMaged M Kamel

Last updated 5/2025

English

What you'll learn

Introduction to limits.
To be able to understand deivatives.
How to estimate area and Cg for plain shapes whether circular or non circular.
Understand the topics, be able to solve questions in FE Exam.

Course content

5 sections • 37 lectures • 3h 58m total length

Introduction To Part #10:54
Full description of the content of first part.

Derivatives and Introduction to max and Minimum.4:51
Introduction to the second derivative of a function and the relating equation.
Example#2 :Maximum and minimum Values.4:52
Example#2: given a function, it is required to check whether there are any turning points?
Example No.35:01
Example#3: Get the maximum, inflection point, and minimum value for a given function.
Maximum and Minimum value of Curve-1
Inflection points-1
Maximum and Minimum value of Curve-2

1-Part#2 -Area and Cg determination8:52
Description of the difference between first moment of area, 2nd moment of area and product of inertia.
1A -Net area versus total area10:33
The difference between total area, and the net area,explained via solved problem.
2-Area of triangle-1-Part #24:59
Area of triangle-vl strip6:25
4-Cg Horizontal distance for Triangle-Part #23:45
5- Area of Rectangle and Cg Distance-Part 26:09
C.g of Rectangle .
6-Area of Trapezium -Part #23:45
7-Cg value for Trapezium-Part#25:52
The procedure of how to get the area for the trapezium,by dividing into 3 parts,two triangles plus one rectangle.
C.g of Trapezioum
8-Area of parallelogram -Part # 23:16
9-Cg Horizontal Distance for Parallelogram -Part #28:18
10-Cg Vertical Distance for Parallelogram -Part #25:21
11-Cg For Symmetrical Shapes-Part #25:59
12-Area and Cg For Round shapes From Table -Part #22:54
Learn area and center of gravity for a right triangle using horizontal strips and dy integration, deriving the familiar 1/2 b h and setting up Cg analysis.
13-Methods for estimating area and cg for quarter of circle-Part #26:53
14-Area and cg of quarter of circle -Method 1-part#27:31
15-Area and cg distance by method -2 for quarter of circle-Part #29:10
16-Area of quarter of circle by Horizontal strip -Part#26:05
17-Area of quarter of circle by Vertical strip -Part#26:05
18-X bar For quarter of Circle by third Method -Part #25:59
19-Y bar For quarter of Circle by third Method -Part #26:11
Compute y-bar for a quarter circle using method No.#3 with horizontal strips, integrating y over dA to yield y-bar = 4R/(3π).
20-Area for Hollow Rectangle and Hollow Circle-part #23:23
21-Area and Cg For half circle -Part #26:45
C.g of Half circle.
22-Area of circular Sector and cg distance -Part #211:53
23-Area of Circular segment and Ellipse-Part #214:14
24-Area of Elliptical quadrant and x bar -Part #213:49
Y bar for the Elliptic quadrant- part 2.6:17
25-Area and cg For parabolic Spandrel-Part #211:49
Derive the area and centroid of a parabolic spandrel defined by y = (h/b^2) x^2. Obtain A = b h/3, x̄ = 3b/4, and ȳ = 3h/10.
26-Area of semi parabola-part #27:57
27-Cg Distances for Semi Parabola-part #26:28

Requirements

Prior knowledge of Differentiation and Integration Skills .

Description

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 Shapes

The 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.

Who this course is for:

Engineers who want to be certified for FE Exam for , Math, statics necessary information.

MATH Application-2 For the Fundamentals of Engineering Exam.

What you'll learn

Explore related topics

Course content

Introduction To Part #11 lecture • 1min

Idea of limits2 lectures • 7min

Derivatives,Max and Minimum.3 lectures • 15min

Curvature and Radius of Curvature2 lectures • 9min

1-Part#2 -Area and Cg determination29 lectures • 3hr 27min

Requirements

Description

Who this course is for: