Future University In Egypt (FUE)
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Altagamoa Al Khames, Main centre of town, end of 90th Street
New Cairo
Egypt
كلية الحاسبات وتكنولوجيا المعلومات
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Course List

Mathematics -1

  • الكود :
    MT101
  • المستوى :
    بيانات المقرر
  • ساعات المقرر :
    3.00 ساعة
  • القسم :
    Faculty of Computers and Information Technology

بيانات المحتضر :

المجال التعليمى :

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.

لمزيد من المعلومات :

Mathematics -1

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..

لمزيد من المعلومات :

Mathematics -1

نتائج المقرر:

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.

لمزيد من المعلومات :

Mathematics -1

موضوعات المقرر ومحتواه:

الموضوع عدد الساعات المحاضر عملى /نظرى
Concept of a function, limits, Continuity, and Differentiation. 4 2 2
Rules of Differentiation. Chain rule, Implicit Differentiation. Differentiation of parametric functions. 4 2 2
Transcendental functions and differentiation. Trigonometric and Inverse Trigonometric Functions. Exponential and Logarithmic Functions. Hyperbolic and inverse hyperbolic functions. 4 2 2
Application of derivatives. Taylor and Maclaurin expansion, polynomial, and series. 4 2 2
Extrema of a function. Asymptote lines, Curve Sketching. 4 2 2
Indeterminate Forms and L’Hospital’s Rule 4 2 2
Definitions and properties of determinants and matrices, Algebra of Matrices. 4 2 2
Reduced matrix. Rank of a Matrix. Solution of linear systems using inverse Matrix. 4 2 2
Mid-Term Exam 2
Cramer's Rule 4 2 2
Gauss - Jordan Method. Homogeneous and non-homogeneous systems. Square and rectangular systems 4 2 2
Solution of linear algebraic systems by Iterative Methods. Jacobi method, Seidel Method. 4 2 2
Eigenvalues and Eigenvectors of a matrix. 4 2 2
Final Exam 2

لمزيد من المعلومات :

Mathematics -1

التعليم والمناهج:

طريقة التعليم
Interactive Lectures including discussion
Tutorials
Self-Study (Project / Reading Materials / Online Material / Presentations)
Problem Solving

منهجية التعليم :

Mathematics -1

تقييم الكورس :

طريقة التقييم الوزن النسبى % رقم الاسبوع ماذا تقيم ؟
Assignments 10.00 4
Final Exam 40.00 14
Midterm Exam (s) 20.00 9
Others (Participations) 10.00
Quizzes 20.00 5

الوزن النسبى :

Mathematics -1

الكتب:

الكتاب المؤلف الناشر
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

ملاحظات المقرر :

An Electronic form of the Course Notes and all the slides of the Lectures is available on the Students Learning Management System (Moodle)

الكتب المرشحة :

S. Lipschutz and M. Lipson,SCHAUM’S outlines: Linear Algebra, 4thed.McGraw – HILL, 2009.ISBN: 978-0-07-154353-8.

لمزيد من المعلومات :

المقررات

تابعنا علي

فيديو الكلية

Future University In Egypt (FUE)

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