 Course Code :
MTH 111
 Level :
Undergraduate
 Course Hours :
3.00
Hours
 Department :
Faculty of Engineering & Technology
Instructor information :
Area of Study :
• Demonstrate a sound understanding of the concepts of differential calculus and linear algebra.
• Develop mathematical skills for the rules of differentiation to the solution of engineering problems.
Algebra: Definitions and properties of determinant and matrices; System of Linear equations, Eigen values and Eigenvectors of a matrix with applications, Gauss elimination method. Theory of nonlinear equations Numerical methods: Iteration methods, Newton's and modified Newton's method, Secant method.
For further information :
Concepts of a function, limits, continuity, and differentiation. Rules of Differentiation. Differentiation of algebraic and transcendental functions and their Inverses. Application of derivatives. Taylor and Maclaurin expansion. Extrema of a function. Asymptote lines, Curve Sketching. Higher derivatives and Leibnitz Rule. Indeterminate forms and L'Hopital's rule. Algebra of determinants and matrices, Solution of linear systems. Gauss  Jordan Method, Iterative Methods. 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

No Book

no

no

Thomas' Calculus

Maorice D. Weir

Pearson

Course notes :
Handouts on the Moodle
Recommended books :
• Earl W. Swokowski, "Calculus with Analytic Geometry, Prindle, Weber & Schmidt.
• Peter V. O'Neil, "Advanced Engineering Mathematics".
• Larson, R, Edwards, B & Falvo, D 2004, Elementary linear algebra, 5th edn, Houghton
Muffling, Boston, Massachusetts.
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 :