 Course Code :
MTH 112
 Level :
Undergraduate
 Course Hours :
3.00
Hours
 Department :
Faculty of Engineering & Technology
Instructor information :
Area of Study :
To familiarize students with the basic concepts of MTH 112 and to make them able to develop an understanding of mathematical concepts that provide a foundation for the mathematics encountered in Engineering. The course allows students to work at their own level thereby developing confidence in mathematics and general problem solving. On successful completion of this course the student will be able to:
1. demonstrate a sound understanding of a number of mathematical topics that are essential for studies in Computer Science;
2. interpret and solve a range of problems involving mathematical concepts relevant to this course ;
3. Effectively communicate the mathematical concepts and arguments contained in this course.
For further information :
1) 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:
1) Integration by parts,,
2) Trigonometric substitutions,
3) Integration by partial fractions,
4) Quadratic expressions and substitutions,
5) Integration by reduction.
C) Applications of definite integral:
1) Area, 2) Volume, 3) Arc length of parametric functions.
4) 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:
Book

Author

Publisher

Calculus: Early Transcendental Functions

Robert Smith, Roland Minton

McGrawHill

Calculus: Early Transcendentals

Howard Anton , Irl Bivens , Stephen Davis

Wiley

No Book

no

no

Thomas' Calculus

Maorice D. Weir

Pearson

Course notes :
Course notes
Handouts
Recommended books :
(1) Larson, R, Edwards, B & Falvo, D 2004, Elementary linear algebra, 5th edn, Houghton Mufflin, Boston, Massachusetts.
(2) Stewart, J 2005, Calculus: concepts & contexts, 3rd edn, Thomson/Brooks/Cole, Australia.
Periodicals :
www.sosmath.com, www.math.hmc.edu,
www.tutorial.math.lamar.edu,
www.web.mit.edu
Web Sites :
www.sosmath.com, www.math.hmc.edu,
www.tutorial.math.lamar.edu,
www.web.mit.edu
For further information :