## Fundamentals of Engineering Exam Class.-Math -Application of Differentiaion and Integration.

#### Maged Kamel, Civil engineer

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34 Videos (3h 21m)
• A-Introduction To Part #1 .

0:54
• 1 -Idea of Limits-Part#1 .

2:24
• 2-Example 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 formula-Part #1

4:47
• 7- Examples 4 & 5 Curvature - Part #1

4:40
• B-Introduction to Part #2

0:44
• 1 - Definitions and table of areas part #2

9:08
• 2- Area of triangle - Horizontal Strip-Part #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
• 20-Area 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

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 :

1-Application of Differentiation(Maximum and Minimum values,Inflection Point Equations),Through Solved

Problems.

2-Curvature calculation and how to estimate the  Radius of curvature.

The Second  part includes the Following :

1-Application 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 :

1-Application of Integration to evaluate the the moment of inertia and the product Moment of inertia,Product of moment of inertia.

2-Mohr circle with solved Problems.

2

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#### Maged Kamel

Civil engineer

Hello, I'm MAGED.

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