English Language for Academic Purposes – Misr International University

Course ID

ENG100

Department

Undergraduate

Level

First Level

Credit

Faculty

Al-Alsun and Mass Communication

Prerequisite

None

Overall aims of course

English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes English Language for Academic Purposes

Intended learning outcomes of course (ILOs)

Knowledge and understanding

By the end of this course, the student should demonstrate comprehensive knowledge and clear understanding of the following:
a1. Know the set operations and the basic properties of the integers
a2. Understand the concept of propositions, logical operations, conditional statements
a3. Understand the concept of mathematical induction, and the counting techniques
a4. Understand the concept of recurrence relations, relations, and basic concept of graph theory.
a5. Know the vector spaces, linearly independent sets.
a6. Understand the solutions of linear systems of equations and the matrix invers
a7. Understand the Eigen values and Eigen vectors and diagonalization.

Intellectual skills

By the end of this course, the student should be able to:
b1. Demonstrate knowledge of theory and operations on sets.
b2.Produce proofs of mathematical statements using mathematical induction and analyze the techniques of mathematical structures and their applications .
b3. Demonstrate knowledge of systems of equations, vector spaces, determinants,
b4. Demonstrate knowledge of Eigenvalues, linear transformation and their applications

Professional and practical skills

By the end of this course, the student should be able to:
c1. Develop a professional attitude and approach to obtain the recursive and explicit formulas of a given sequence of values and also to determine the characteristic functions of sets.
c2. Develop a repository of experience to list the properties of integers using Euclidean algorithm.
c3. Develop skills for vector spaces, determinants, Eigenvalues.
c4. Develop skills for studying the consistency of a linear system of equations.

General and Transferable Skills

By the end of this course, the student should be able to:
d1. Work effectively in team.
d2. Develop skills related to creative thinking and problem solving strategies.

Course Contents

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weeks	Topic	Intended Learning Outcomes
weeks	Topic	K&U	IS	P&P	G&TS
One	Sets, subsets and operations on sets – Sequences	a1	b1	c1	d1, d2
Two	Properties of the integers	a1, a2	b1	c1	d1, d2
Three	Matrices, Boolean Matrix Operations, Mathematical structures	a1, a2	b1	c2	d1, d2
Four	Propositions, logical operations and conditional statements	a2	b2	c2	d1, d2
Five	Mathematical induction – Counting techniques	a3	b2	c2	d1, d2
Six	Recurrence Relations – Relations and digraphs	a4	b2	c2	d1, d2
Seven	Paths in relations, digraphs -Properties of relations- Equivalence relations and operations on relations	a4	b2	c2	d1, d2
Eight	Introduction to : Vectors and their basic properties – Dot Product	a5	b3	c3	d1, d2
Nine	Linear Combination of a set of vectors – Linear independence – Span of Vectors	a5	b3	c3	d1, d2
Ten	Solution of linear system of equation using elementary row operations. The rank of a matrix	a6	b3	c4	d1, d2
Eleven	Determinants – Matrix Inverse.	a6	b3	c4	d1, d2
Twelve	Eigenvalues and Eigenvectors – Diagonalization	a7	b4	c4	d1, d2

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