- Course Code :
MT102
- Level :
Undergraduate
- Course Hours :
3.00
Hours
- Department :
Faculty of Computers and Information Technology
Instructor information :
Area of Study :
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.
For further information :
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.
For further information :
Books:
Course notes :
An Electronic form of the Course Notes and all the slides of the Lectures is available on the Students Learning Management System (Moodle)
Recommended books :
A. Neeman, Algebraic and Analytic Geometry. Cambridge university press, 2007.ISBN: 978-0521709835.
For further information :