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Welcome to Mathematics

WELCOME TO MATHEMATICS DEPARTMENT.

 

Before 1981, the college operated on departmental basis and by that time there were Department of mathematics and Science, Department of Civil Engineering and so on. But in 1981, the College was divided into five Schools including School of Science and Technology under which was the Department of Physics and Mathematics. Statistics was then introduced in this department as a programme with mathematical bias-admitting students with only a minimum of five credits at Olevels including Mathematics and Economics.

 

In 1984/1985 sessions, in accordance with the NBTE regulation, the name of the Department was changed to Department of physical and mathematical sciences. The name was again changed to Department of Mathematics and Computer Science in 1985/86 session when Computer Science was introduced into the department as a programme to reflect the new status. Again, in 1989, the department of Computer Science was carved out of the department and the name became Department of Mathematics and Statistics. The Department was later split into two in 2005 into Department of Mathematics and Department of Statistics. The mathematics Department of Yaba College of Technology offers service courses to all departments in the College to enhance quality of the award of National Diploma (ND)  (both Full-Time and Part-Time Programmes) and Higher National Diploma (HND) (Full-Time and Part-Time Programmes).

 

 



HOD INFORMATION
hod

Mr Falade .A. Olukayode,
NCE(Maths/Physics),B.Sc(Mathematics),M.Sc(Mathematics),
HOD, Mathematics.

HOD Mathematics

Apply to Mathematics

ACADEMIC STAFF LIST FOR MATHEMATICS DEPARTMENT

 

S/N

NAME

DESIGNATION

QUALIFICATION

RESEARCH AREA

1.         

ADERONHUMU JOSEPH OLUSOJI

Chief Lecturer

B.Sc (Edu) Maths

M.Sc. Maths

P.G.D. Comp. Sci.

M.Sc, Statistics

Pure and Applied Mathematics

2.        

FALADE, AYINDE OLUKAYODE

Chief Lecturer

 

 

3.        

EKAKITE EMOKINIOWO TESTY

Chief Lecturer

 

 

4.        

OJOKUKU, EDWIN OLAYINKA

Chief Lecturer

 

 

5.        

ADEWOYE SUNKANMI OLABODE

Senior Lecturer

 

 

6.        

OGUNJARE TOYIN OLUFUNSO

Senior Lecturer

 

 

7.        

ADEOSUN, TUNDE ADAMSON

Senior Lecturer

 

 

8.        

BAIYERI, JOHNSON FUNSHO

Lecturer II

 

 

9.        

MOHAMMED, MODIU ATANDA

Lecturer II

 

 

10.     

IGE, SIKIRU AJIBODE

Lecturer II

 

 

11.      

ESAN, OLUMIDE AFOLABI

Lecturer II

 

 

12.     

NWAGWO ALEXANDER

Lecturer III

 

 

13.     

AGBOOLA SUNDAY OLANREWAJU

Lecturer III

 

 

14.     

BAKARE, FATAI OLASUPO

Lecturer III

 

 

15.      

OKEMAKINDE OLUWASEUN OLUFEMI (MRS)

Assistant Lecturer

 

 

 

HOD INFORMATION
hod

Mr Falade .A. Olukayode,
NCE(Maths/Physics),B.Sc(Mathematics),M.Sc(Mathematics),
HOD, Mathematics.

HOD Mathematics

Apply to Mathematics

ACADEMIC PROGRAMME IN MATHEMATICS DEPARTMENT.

 

The department of Mathematics services the following courses in all the Schools in the College.

STP 113: Algebra for science

Laws of indices in simplifying algebraic expressions, theory of logarithm and surds in the manipulation of scientific expressions. Simultaneous and quadratic equations in scientific situations. Algebraic operations of matrices and determinants as well and solution of simultaneous linear equations by the methods of matrices. Binomial Theorem in the expansion of Scientifics expressions and in approximations.

 

 

 

MTH 111: Logic and Linear Algebra

Concept of Logic and Abstract Thinking. Concept of Permutations and Combinations. Binomial Expansion of Algebraic Expressions. Algebraic Operations of Matrices and Determinants, Mathematical Induction.

 

MTH 112: Functions and Geometry

Concept of Function And Relations, Special Properties of Functions, Algebra of Functions, Fundamental Elements of Trigonometry, Analytic Geometry Of A Straight Line, Concept of Symmetry And Their Applications to Conic Sections.

 

MTH 121: Calculus 1

Concept of Limits, Concept of Continuity, Techniques of Differentiation, Various Application of Derivations,  Integration as the Reverse of Differentiation.

 

BUS 112: Business Maths

Simple and compound interest, Annuity, Present Value and discount concepts, Investment Appraisal, Indices, Equation and Inequalities, Matrices, Graphs, Ration, Proportion and Percentages, Summation Sign, Sequences and Series and its Applications to Finance. Differential Calculus and its application to finance and Transportation Problems,  Linear programming.

 

MTH 122: Trigonometry and Analytical Geometry

Trigonometry Formulae and Equations, Measuration and its Application, Analytical Geometry  and Their Application.

 

MTH 123: Analytical Geometry and Calculus

Understanding and Solving Problems on Analytical Geometry, Integral Calculus And Differential Equations.

 

MTH 213: Linear Algebra

Matrices and their Algebra (Contd), Determinants (Contd), Solutions Of Systems F Linear Equations Using Matrices And Numerical Methods. Basic Concepts And Manipulations Of Vectors And Their Applications To Engineering Problems. Eigenvalues and Eigenvectors.

 

STP 213: Calculus for Science

Basic Concepts Of Differential Calculus And Its Applications In Solving Scientific Problems. Integration as the Reverse of Differentiation and its Applications  to Scientific Problems. First Order Homogenous Linear Ordinary Differential Equations With Constant Coefficients As Applied To Simple Circuits. Basic Concepts Of Partial Differentiation And Application To Scientific Problems.

MTH 212: Calculus 11

Summation of Finite Double Series, Meaning Of Convergence Of Infinite Series, Concepts Of A Power Series, Limits, Homogenous Linear Ordinary Differential Equations, Partial Differentiation.

 

MTH 222: Mathematical methods 1

Meaning of a Complex Numbers, Algebra Of Complex Numbers, Nature Of Differential Equations. Exact Differential Equations Of First Order, Theory Of Linear Differential Equations, Properties Of Plane And Space Vectors, Scalar And Vector Products, Applications Of The Concept Of Vectors Of Plane Geometry.

 

MTH 314: Mathematical Methods 11

Basic Concepts of Series, Basic Partial Differentiation And Its Application, Basic Double Integration And Its Application, First And Second Order Differential Equations With Constant Coefficients.

 

MTH 322: Mathematical Methods 11

Definition of a Vector Space And The Concept Of Linear Dependence And Independence. Systems Of Simultaneous Linear Equations, Quadratic Forms And Their Methods Of Reduction, Eigenvalue And Eigenvectors And Their Computation, First Order And First Degree Partial Differential Equations And The Methods Of Their Solution.

 

MTH 312: Advance Calculus

Lap Lace Transform. Fourier Series and Application To Solve Engineering Problems, Methods Of Solving Second-Order Differential Equations And Theoretical Content.

 

MTH 401: Numerical Methods

The use of Numerical Methods to Solve Linear and Non-Linear Equations and Infinite Differences. Interpretation As Applied to Difference Table and Numerical Differentiation. Numerical Integration And Methods of Solving First And Second Order Ordinary Differential Equation. Basic Concept of Probability Distributions and Same in Solving Engineering Problems. Principle of Reliability and Basic Statistical Experimental Designs.

 

MTH 311: Advance Algebra

Hyperbolic, Exponential and Logarithmic Functions, Power Maclaurin and Taylor Series with Application to Logarithmic Trigonometric and Hyperbolic Functions. Principle of Mathematical Induction and the Principles of Matrices As Applied To Engineering Problems, Principles Of Vector Algebra and Concept And Application Of Complex Numbers.

 

 

COURSES FOR TECHNICAL TEACHERS’ TRAINING PROGRAMME

 

MTH 211: Sets Logic and Algebra

Language and Concepts of Modern Mathematics Topics Include: Basic Set Theory,, Mapping Relation Equivalence And Other Relations, Cartesian Products, Binary Logic, Methods Of Proof, Binary Operations, Algebraic Structures Semi-Group, Rings Integral Domains, Field Homomorphism, Number Systems, Properties Of Integers, Rational, Real And Complex Numbers.

 

MTH 131: Elementary Mechanics 1

Vectors: Algebra of Vectors, Coplanar Forces, Their Resolution Into Components, Equilibrium Conditions Moments and Couples, Parallel Force, Friction Rentroids And Centers Of Gravity Of Particles And Rigid Bodies Equivalence Of Sets Of Coplanar Forces, Kinetics And Rectilinear Motion Of A Particles, Vertical Motion Under Gravity, Projection, Relative Motion, Dynamics Of Particle, Newton’s Law Of Motion’s Of Connected Particle.

 

MTH 214: Linear Algebra II

System of Linear Equations, Change of Bases, Equivalence and Similarity, Eigenvalues and Eigenvector, Minimum and Characteristic Polynomials of Linear Transformation, Cayley-Hamiton Theorem, Bilinear and Quadratic Forms, Othogoral Diagonalisation, Canonical forms.

 

MTH 222: Elementary Differential Equation 1

First – Order Ordinary differential Equation, Existence and uniqueness of solution. Second – Order ordinary differential Equations with constant coefficient. General Theory of nth – order linear ordinary differential equation. The Laplace Transform, solution of initial and boundary – value problems by Laplace transform method. Simple treatment of partial differential equation in two independent variables. Applications of ordinary and partial differential equations to physical life and social science.

 

MTH 221: Real Analysis 1

Bounds of Real Number, Convergence Of Sequences Of Numbers, Monotone Sequences, the Theorem of Nested Intervals, Cachy Sequences, Test for Convergence of Series, Absolute and Conditional Convergence of Series, and Re-Arrangements. Completeness of real and Incompleteness of Rational, Continuity and Differentiability of Functions. Rolle’s and Mean-value Theorem of Differentiable function. Taylor Series.

 

MTH 231: Elementary Mechanics II

Impulse and Momentum, Conservation of Momentum; Work power and Energy Work and Energy Principles Conservation of Mechanical Energy. Direct  and oblique impact of classic bodies. General motion of a particle in two dimension motion in horizontal and vertical simple Harmonic Motion; Motion; Motion of a particle attached to a light inelastic spring of string. Motion of a rigid body about a fixed axis, moment of inertia calculations, perpendicular and parallel axis theorems, principal axes of inertia and direction. Conservation  of energy compound pendulum, conservation of angular momentum.

 

MTH 241: Mathematics Methods

Real-valued functions of a real variable, Review of differentiation and integration and their applications. Mean-value theorem, Taylor Series, Real Values functions of two or three variables, Paniel derivatives, Chain-rule, Extrina Languages Multipliers, Increments, differentials and linear approximation, Evaluation of line-integrals multiple integrals.

 

MTH 326: Real Analysis

Riemann Integral of real function of real variables, continuous non-positive functions of bounded variation. The Riemann-stielties integral, Point-wise and uniform convergence of sequences and series of function R effects on limits (sums) when the functions are continuously differentiable in Riemann intergrable power series.

 

MTH 311: Metric Space Topology

Sets, Metrics and Examples, Open Spheres or balls, Open Sets and Neighbourhoods. Closed Set, Interior, Exterior, Frontier, Limit points and closure of a set. Dense  Subsets and Separable space. Convergence in metric space homeomorphism, Compactness, Continuity and Compactness, Contentedness.

 

MTH 322: Elementary Differential Educations II

Series solution of second-order ordinary differential equations, Sturm-lieuville problems. Orthogonal Polynomials and functions, Fourier series, Fourier Bessel and Fourier-Legendry Series, Fourier Transformation, Solution of Laplace, Wave and Heat Equations by the Fourier Methods separation of variables.

 

MTH 323: Complex Analysis I

Functions of a complex variable limits and continuity of functions of a complex variable. Derivation of the Cauchy-Riemann Equations; Bilinear Transformations, Conformal mapping, Contour Integrals, Cauchy’s Theorem and its main Consequences, Convergence of Sequences and Series of Function of a Complex Variable, Power Series, Taylor Series.

 

MTH 312: Abstract Algebra II

Normal subgroups and quotient groups homomorphism, Isomorphism Theorem, Caylcy Theorems, Direct Products, Groups of Small order groups acting on sets. Slow Theorems, Ideals and Quotient Rings PL D’S U.F.D’s Educaton rings. Irreductility, Field extensions, degree of an extension, minimum polynomial, Algebraic and Transcenderial Extension, Minimum Polynomial, Algebraic and Transcenderial extension, straightedge compass construction.

 

MTH 335: Dynamics of Rigid Body

General notion of a rigid body as a transition plus a rotation, moment of insruia and product of inertia in three dimensions. Parallel and perpendicular axes theorems, principal axes, angular momentum, kinetic energy of a rigid body, impulsive motions. Examples involving one and two dimensional motion of a simple system. Moving frames of reference, rotating and translating frames of reference, coriolis force, motion near the earth surface. The founcault’s pendulum, Eutor dynamic equations of motion of a rigid body with one point fixed, the symmetric top precessional motion.

 

 

 

HOD INFORMATION
hod

Mr Falade .A. Olukayode,
NCE(Maths/Physics),B.Sc(Mathematics),M.Sc(Mathematics),
HOD, Mathematics.

HOD Mathematics

Apply to Mathematics

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