 Course Code :
MT101
 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 differentiation in different applications.
Combine and evaluate different applications of derivatives.
Use basic mathematics to learn the principles of differentiation and linear systems.
Analyze the analytical requirements of some applications of linear systems.
Carry out a selflearning and research for more applications of derivatives.
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

100+1 Problems in Advanced Calculus EKB (Ebook)

Paolo Toni

springer

Applied Calculus, 6th edition (Ebook)

Stefan Waner

Richard Stratton

Calculus concepts : an informal approach to the mathematics of change (Ebook)

D. R. LaTorre

Brooks/Cole

Calculus: Early Transcendentals (Ebook)

Soo T. Tan. Belmont

Brooks/Cole

College Mathematics For Everyday (Ebook)

Maxie Inigo

LibreTexts

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 :
S. Lipschutz and M. Lipson,SCHAUM’S outlines: Linear Algebra, 4thed.McGraw – HILL, 2009.ISBN: 9780071543538.
For further information :