FEDERAL UNIVERSITY OF TECHNOLOGY, MINNA
NIGER STATE, NIGERIA
FUTMINNA e-LEARNING
COURSE TITLE
ELEMENTARY MATHEMAICS I
COURSE CODE
MTH 101
COURSE UNIT: 2
HEAD OF DEPARTMENT
Prof. Abdullahi Idris Enagi
Department of Mathematics
Federal University of Technology, Minna
Niger State, Nigeria
,Course Development Team
MTH 101: ELEMENTARY MATHEMAICS I
Prof. Mohammed Jiya
Subject Matter Experts
Prof. Musa Danjuma Shehu
Prof. Abdullahi Idris Enagi
Dr. Umaru Mohammed
Dr. Ngutor Nyor
Dr. Samuel Abu Somma
Dr. Omananyi Razaq Jimoh
Dr. Festus Abiodun Oguntolu
Dr. Shakirudeen Ishola Yusuf
Department of Mathematics
Federal University of Technology,
Minna, Niger State, Nigeria.
Course Coordinator
Prof. Mohammed Jiya
Department of Mathematics
Department of Computer Science
Federal University of Technology,
Minna, Minna, Niger State, Nigeria
Dr. Umaru Mohammed
Instructional System Designers
Dr. Samuel Abu Somma
Department of Mathematics
Federal University of Technology,
Minna, Niger State, Nigeria
ODL Expert Dr. Amosa Isiaka GAMBARI
Language Editors Chinenye Priscilla UZOCHUKWU (Mrs.)
Prof. Jonathan Yisa
Dean of School
School of Physical Sciences
Federal University of Technology,
Minna, Minna, Niger State, Nigeria
i
, MTH 101 Study Guide
INTRODUCTION
MTH 101: Elementary Mathematics I is a 2- credit unit course for students
studying towards acquiring a Bachelor of Science in any field. The course is divided
into a module and 10 study units. It will first introduce the basic Concept of Set Theory.
Next, Mapping and Function are treated in detail. Thereafter, the Number Systems are
represented and Inequality is discussed. This is followed by an extensive discussion
of Surds and Indices and Logarithms. Subsequently, an overview of Mathematical
Induction and Binomial Theorem is presented. Finally, the student is introduced to
Matrices and Determinant followed by Quadratic Equation.
The course guide therefore gives you an overview of what MAT 111 is all about, the
textbooks and other materials to be referenced, what you expect to know in each unit,
and how to work through the course material.
RECOMMENDED STUDY TIME
This course is a 3-credit unit course having 10 study units. You are therefore enjoined
to spend at least 3 hours in studying the content of each study unit.
WHAT YOU ARE ABOUT TO LEARN IN THIS COURSE
The overall aim of this course, MAT 111 is to introduce you to Algebra and Number
Theory of Mathematics. At the end of this course you will:
i. Perform basic operations on sets
ii. Use the concepts of mappings in solving problems
iii. Perform operations with real numbers
iv. Solve inequalities in one or two variables graphically and analytically and apply
solution of inequalities to problems
v. Evaluate the problems of surds
vi. Use the laws of indices in calculations and simplification and use the
relationship between indices and logarithms to solve problems
vii. Apply the principles of Mathematical Induction
viii. Use Pascal triangle and binomial expansion formula to solve problems
ix. Use determinant to solve problems of systems of linear equations
x. Define and solve problems in quadratic equations
COURSE AIMS
This course aims to introduce students to Algebra and Number Theory of
Mathematics. It is expected that the knowledge will enable the reader to effectively
use Algebra and Number Theory of Mathematics in his/her profession.
COURSE OBJECTIVES
ii
NIGER STATE, NIGERIA
FUTMINNA e-LEARNING
COURSE TITLE
ELEMENTARY MATHEMAICS I
COURSE CODE
MTH 101
COURSE UNIT: 2
HEAD OF DEPARTMENT
Prof. Abdullahi Idris Enagi
Department of Mathematics
Federal University of Technology, Minna
Niger State, Nigeria
,Course Development Team
MTH 101: ELEMENTARY MATHEMAICS I
Prof. Mohammed Jiya
Subject Matter Experts
Prof. Musa Danjuma Shehu
Prof. Abdullahi Idris Enagi
Dr. Umaru Mohammed
Dr. Ngutor Nyor
Dr. Samuel Abu Somma
Dr. Omananyi Razaq Jimoh
Dr. Festus Abiodun Oguntolu
Dr. Shakirudeen Ishola Yusuf
Department of Mathematics
Federal University of Technology,
Minna, Niger State, Nigeria.
Course Coordinator
Prof. Mohammed Jiya
Department of Mathematics
Department of Computer Science
Federal University of Technology,
Minna, Minna, Niger State, Nigeria
Dr. Umaru Mohammed
Instructional System Designers
Dr. Samuel Abu Somma
Department of Mathematics
Federal University of Technology,
Minna, Niger State, Nigeria
ODL Expert Dr. Amosa Isiaka GAMBARI
Language Editors Chinenye Priscilla UZOCHUKWU (Mrs.)
Prof. Jonathan Yisa
Dean of School
School of Physical Sciences
Federal University of Technology,
Minna, Minna, Niger State, Nigeria
i
, MTH 101 Study Guide
INTRODUCTION
MTH 101: Elementary Mathematics I is a 2- credit unit course for students
studying towards acquiring a Bachelor of Science in any field. The course is divided
into a module and 10 study units. It will first introduce the basic Concept of Set Theory.
Next, Mapping and Function are treated in detail. Thereafter, the Number Systems are
represented and Inequality is discussed. This is followed by an extensive discussion
of Surds and Indices and Logarithms. Subsequently, an overview of Mathematical
Induction and Binomial Theorem is presented. Finally, the student is introduced to
Matrices and Determinant followed by Quadratic Equation.
The course guide therefore gives you an overview of what MAT 111 is all about, the
textbooks and other materials to be referenced, what you expect to know in each unit,
and how to work through the course material.
RECOMMENDED STUDY TIME
This course is a 3-credit unit course having 10 study units. You are therefore enjoined
to spend at least 3 hours in studying the content of each study unit.
WHAT YOU ARE ABOUT TO LEARN IN THIS COURSE
The overall aim of this course, MAT 111 is to introduce you to Algebra and Number
Theory of Mathematics. At the end of this course you will:
i. Perform basic operations on sets
ii. Use the concepts of mappings in solving problems
iii. Perform operations with real numbers
iv. Solve inequalities in one or two variables graphically and analytically and apply
solution of inequalities to problems
v. Evaluate the problems of surds
vi. Use the laws of indices in calculations and simplification and use the
relationship between indices and logarithms to solve problems
vii. Apply the principles of Mathematical Induction
viii. Use Pascal triangle and binomial expansion formula to solve problems
ix. Use determinant to solve problems of systems of linear equations
x. Define and solve problems in quadratic equations
COURSE AIMS
This course aims to introduce students to Algebra and Number Theory of
Mathematics. It is expected that the knowledge will enable the reader to effectively
use Algebra and Number Theory of Mathematics in his/her profession.
COURSE OBJECTIVES
ii