• Course Code :
  MT102
• Level :
  Undergraduate
• Course Hours :
  3.00 Hours
• Department :
  Faculty of Computers and Information Technology

Instructor information :

Apply the basic concepts and theories of integration in different applications. Combine and evaluate different techniques of integration. Use basic mathematics to learn the principles of integrations and conic section. Analyze the analytical requirements of drawing lines, planes, cylinders and spheres in three dimensions. Carry out a self-learning and research for some applications of definite integral.

Calculus: A) Indefinite integrals. properties and evaluation of definite and indefinite integrals of algebraic and transcendental functions. Fundamental Theorem of calculus. B) Techniques of integration: Integration by parts, Trigonometric substitutions, Integration by partial fractions, Quadratic expressions and substitutions, 5) Integration by reduction. C) Applications of definite integral: Area, Volume, Arc length of parametric functions, Surface area of solid revolution, 2) Analytic Geometry: A) lines and Planes in space. vector equations. B) Definitions and properties of conic sections, parabola, hyperbola, and ellipse. C) Translation and rotation of axes. D) Quadric Surfaces. Ellipsoid, Hyperboloid, paraboloid.

NAQAAABET

Course outcomes:

a. Knowledge and Understanding:
	1- Describe the fundamental concepts to recognize the difference between definite and indefinite integrals, and the relationship between derivatives and integrals. 2- Discuss different methodologies to explain the parabola, ellipse and hyperbola, and related properties 3- Explain functional requirements and constrains to distinguish between analytic geometry lines and planes in space
b. Intellectual Skills:
	1- Analyze the application of definite integrals techniques to evaluate areas, surface areas, arc lengths and volumes. 2- Determine measurement criteria to evaluate bounded areas and volumes of linear systems of algebraic equations 3- Prepare appropriate analytics for lines, planes, cylinders and spheres in space
c. Professional and Practical Skills:
	1- Analyze and design different cases of definite integral applications 2- Use different computing technologies to solve integration problems 3- Install and maintain different supporting tools to categorize some properties and concepts to compute basic information like (conic section, lines and planes in space).
d. General and Transferable Skills:
	1- Exploit a range of learning resources of integration and conic sections 2- Work in a team effectively and efficiently considering time and stress management

For further information :

• Telephone: 16383 (16FUE)
• E-mail: [email protected]