MM114 : Aerospace Engineering

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MM103

Overview

This course introduces students to the basic concepts of the coordinate system: (Cartesian - cylindrical - spherical). It also deals with methods for finding the length and division of a line segment. This course aims to develop the student's ability to determine the locus, vectors, plane, straight line, and surfaces of the second degree.

The course focuses on geometry in three dimensions and quadratic surfaces.

Intended learning outcomes

By the end of the course, the student should be able to:

1. Recognize the Cartesian, polar and spherical coordinate system.

2. Explain vectors in space and their applications.

3. Identify and represent the images of straight lines and planes in space

4. Describe and draw quadratic surfaces

5. Analyze the Cartesian, polar and spherical coordinate system.

6. Demonstrate some vectors in space and their applications.

7. Explain the images of straight lines and planes in space.

8. Describe the surfaces of the second degree. 9- Solve a number of exercises and problems on the Cartesian, polar and spherical coordinate system.

9. Gives examples of some vectors in space and their applications

Use images of straight lines and planes in space. 12- Draw surfaces of the second degree

Teaching and learning methods

  1. Theoretical lectures
  2. Discussion and dialogue
  3. Brain storming
  4. Using mathematical proof methods
  5. Exercises, trainings and multi-idea problem-solving

Methods of assessments

1. A written exam (essay + objective) = 25 marks, or its assessment is left to the course instructor.

2. Short tests (written or oral), demonstration tasks, applications, exercises, and presentation = 15 marks, or the assessment is left to the course instructor.

3. Written final exam (essay + objective) = 60 mark

Course Contents

tutorial

Lecture

Number of hours

Subject

Week

2

2

4

Coordinate system: (Cartesian - cylindrical - spherical).

1

2

2

4

Length and division of a line segment, locus.

2

2

2

4

Vectors: vector definition, algebraic operations on vectors (addition, scalar multiplication, and scalar multiplication.

3

2

2

4

Ladder and vector triple multiplication, linear dependence and linear independence, vector analysis.

4

First midterm exam

5

2

2

4

Plane: the different forms of the equation of a plane, the distance of a point from a plane, the angle between two planes, bisectors of angles between two planes

5-6

2

2

4

Systems of planes (parallel, intersecting on a straight line, parallel to a straight line).

7

2

2

4

Vector and median representation of a line, the distance of a point from a line, the two divergent lines.

8

2

2

4

Surfaces of Second Degree: Standard Forms of Equations (Sphere, Cylinder, Cone)

9

Second midterm exam

10

2

4

6

ellipse surface, hyperbolic surface.

11-10

2

6

8

Imperfect parabolic surface, hyperbolic parabolic surface.

13-12

2

2

4

Equation of plane and tangent.

14

Final exam

15-16

56

Total

References

Title of reference

Publisher

Version

Author

located

Space Vector Engineering

E L G A

2000

Dr. Gomha Swiss Friday

Dr. Ahmed Abdel-Moatal

Library of Department

Arabic language 1 (AR103)
Linear Algebra 1 (MM105)
Planar and Analytical Geometry (MM103)
Quranic Studies 1 (AR101)
computer 1 (CS100)
General Mathematics 1 (MM101)
General English1 (EN100)
Fundamentals of Education (EPSY101)
General Psychology (EPSY 100)
Introduction to Statistics (ST101)
Quranic studies2 (AR102)
Aerospace Engineering (MM114)
General Mathematics 2 (MM102)
Linear Algebra (2) (MM215)
Developmental Psychology (EPSY 203)
General Teaching Methods (EPSY 201)
General English2 (EN101)
Computer 2 (CS101)
Introduction to the science of Probabilities (ST102)
Arabic language 2 (AR104)
Basics Of Curriculums (EPSY 202)
Mathematical Logic (MM317)
Educational Psychology (EPSY 200)
Arabic language 3 (AR105)
Ordinary Differential Equations 1 (MM202)
Static (MM206)
General Mathematics3 (MM211)
Ordinary Differential Equations 2 (MM311)
Vector analysis (MM214)
Mathematical statistics (ST202)
Set Theory (MM213)
Arabic language 4 (AR106)
Research Methods (EPSY301)
Measurements and Evaluation (EPSY 302)
Methods of teaching mathematics (MM208)
Teaching learning Aids (EPSY 303)
Word processing (CS 202)
Psychological Health (EPSY 401)
School mathematics 1 (MM309)
Complex Analysis 1 (MM305)
Real Analysis 1 (MM303)
Dynamics (MM207)
Abstract Algebra 1 (MM302)
Complex Analysis 2 (MM306)
School mathematics2 (MM310)
Real Analysis 2 (MM304)
Abstract Algebra 2 (MM403)
Numerical Analysis (MM308)
measurement theory (MM410E)
Integral equations (MM409E)
Operations Research (MM408E)
History of Mathematics (MM407E)
Functional Analysis (MM406E)
linear programming (MM405E)
Partial Differential Equations (MM401)
Teaching applications (MM400)
Graduation project (MM404)
Teaching Practice (EPSY 402)