Fundamentals of Engineering Exam Class.Math Application of Differentiaion and Integration.
Maged Kamel, Civil engineer


AIntroduction To Part #1 .
0:54 
1 Idea of LimitsPart#1 .
2:24 
2Example No.#1 part #1 .
4:57 
3 2nd Derivative,introd to Maximum and Minimum part #1
5:01 
4 Example #2 Maximum part #1 and minimum values
4:56 
5 Example #3 Max,Min,inflection Part #1
5:01 
6  Curvature and Radius formulaPart #1
4:47 
7 Examples 4 & 5 Curvature  Part #1
4:40 
BIntroduction to Part #2
0:44 
1  Definitions and table of areas part #2
9:08 
2 Area of triangle  Horizontal StripPart #2
4:59 
3 Area of triangle vertical strip Prat #2
6:25 
4 Cg hl distance for Triangle Part #2
3:45 
5 Area of Rectangle and Cg Distance Part #2
6:33 
6 Area of Trapezium Part #2
3:45 
7 Cg value for Trapezium Part #2
5:52 
8  Area of parallelogram Part # 2
3:16 
9 Cg Horizontal Distance for Parallelogram Part #2
8:18 
10 Cg Vertical Distance for Parallelogram Part #2
4:25 
11 Cg and Symmetry of Shapes Part #2
5:20 
12 Area and Cg For Round shapes From Table Part #2
3:17 
13 Methods for estimating area and Cg for quarter of circle part #2
6:53 
14 Area and cg of quarter of circle Method 1 part#2
7:31 
15 Area and cg distance by method 2 for quarter of circle Part #2
9:10 
16 Area of quarter of circle by Horizontal strip Part#2
6:05 
17 Area of quarter of circle by vertical strip Part #2
6:05 
18 X bar For quarter of Circle by third Method Part #2
5:59 
19 Y bar for Quarter of circle by third method part #2
6:11 
20Area for Hollow Rectangle and Hollow Circle part #2
3:23 
21 Area and Cg For half circle  Part #2
6:45 
1 Moment of Inertia Part #3
11:48 
2 Moment of Inertia Part #3
12:01 
3 Product of Inertia Part # 3
10:45 
4 Mohr Circle of Inertia Part #3
9:57

About This Class
For this Math class ,it will cover part of math items used for passing the Fundamentals of Engineering Examination,
The First part includes the Following :
1Application of Differentiation(Maximum and Minimum values,Inflection Point Equations),Through Solved
Problems.
2Curvature calculation and how to estimate the Radius of curvature.
The Second part includes the Following :
1Application of Integration to evaluate the area and Center of gravity for various shapes(Triangle ,Rectangle,Trapezium,Parallelogram)
2 Cg and Symmetry of shapes.
3 Area and cg for Semicircular arc,Circle,sector,Hollow circular,Circular Segment ,Ellipse area and Cg by parametric equations ).
The Third part includes the Following :
1Application of Integration to evaluate the the moment of inertia and the product Moment of inertia,Product of moment of inertia.
2Mohr circle with solved Problems.
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Hello, I'm MAGED.