 Course Code :
MTH 111
 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 Differentiation with Applications and Algebra 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 Engineering;
2. interpret and solve a range of problems involving mathematical concepts relevant to MTH 111;
3. Effectively communicate the mathematical concepts and arguments contained in this course.
For further information :
1) Calculus:
A) Concept of a function, limits, Continuity, and Differentiation.
B) Rules of Differentiation. Chain rule, Implicit Differentiation. Differentiation of parametric functions.
C) Transcendental functions and differentiation. Trigonometric and Inverse Trigonometric Functions. Exponential and Logarithmic Functions.. Hyperbolic and inverse hyperbolic functions.
D) Indeterminate Forms and L'Hopital's Rule.
E) Application of derivatives. Taylor and Maclaurin expansion, polynomial, and series. Extrema of a function. Asymptote lines, Curve Sketching.
2) Algebra:
A) Definitions and properties of determinants and matrices, Algebra of Matrices.
B) Reduced matrix. Rank of a Matrix. Solution of linear systems using inverse Matrix, and Cramer's Rule.
C) Gauss  Jordan Method. Homogeneous and non homogeneous systems. Square and rectangular systems.
D) Solution of linear algebraic systems by Iterative Methods. Jacobi method, Seidel Method.
E) Eigenvalues and Eigenvectors.
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

College Algebra

Young

Wiley

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 :