• Course Code :
  MT101
• Level :
  Undergraduate
• Course Hours :
  3.00 Hours
• Department :
  Faculty of Computers and Information Technology

Instructor information :

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 self-learning and research for more applications of derivatives.

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..

NAQAAABET

Course outcomes:

a. Knowledge and Understanding:
	1- Describe the basic methods for evaluating differentiation. 2- Discuss practices used in the applications of derivative 3- Explain solution of linear systems, inverse matrix, eigenvalues and eigenvectors.
b. Intellectual Skills:
	1- Analyze the local and absolute extrema, and inflection points of representative functions. 2- Determine measurement criteria for the analytical and geometrical methods of continuous functions. 3- Prepare different solutions for linear algebraic systems by different methods.
c. Professional and Practical Skills:
	1- Analyze and design different cases of derivatives’ applications. 2- Use different theorems of linear algebra to solve problems. 3- Realize some properties and concepts to compute basic information like (eigenvalues and eigen vectors).
d. General and Transferable Skills:
	1- Exploit a range of learning resources of differentiation and linear algebra. 2- Work in a team effectively and efficiently considering time and stress management.

For further information :

• Telephone: 16383 (16FUE)
• E-mail: [email protected]