**Welcome to Chemical Science Department**

The department of chemical science was carved out from the former Department of Science Technology in November 1998, to train students at the National Diploma level in Science Laboratory Technology. The training responsibility also extends to training student for the award of the Higher National Diploma in Chemistry and Biochemistry. The department is also actively involved in research development with endogenous research group in areas of specializations in the chemical Science within and outside Yaba College of Technology. Indeed the department is involved in collaborative work with some public research institutions within Lagos.

Over the years, the skills acquired by diplomats of programmes run by other department have been in great demand by public and private institutions and establishments within and beyond the shores of Nigeria.

The achievement of the department in efficient knowledge and skills delivery is widely acknowledged enough now to the extent that ND diplomates of the department are gaining direct access to programme in Medicine, Pharmacy, Agriculture, Engineering, etc within and outside Nigeria.

The department has on its roll over six hundred students for various programmes and about Thirty members of competent, effective, efficient and well-qualified staff. The department has about five senior academic staff on study leave for doctorate degrees in such world class as students in Howard University, Washington DC, USA and University of Otago, New Zealand and Rhodes University , South Africa

The department is actively involved in the training of students at the Higher National Diploma level in other such departments as Biological Sciences, Physical Sciences, Polymer and Textile Technology, Food Technology, Metallurgical Engineering, Printing Technology, etc.

The department is involved in the training of students for the award of the Bachelor of Science in Vocational and technical Education programme in collaboration with the University of Nigeria, Nsukka. The national Universities Commission recently re-accredited this B.Sc programmes based on their satisfaction with resources – human and material – for running the programme.

**ACADEMIC PROGRAMME IN CHEMICAL SCIENCE DEPARTMENT**

**NATIONAL DIPLOMA IN SCIENCE LABORATORY TECHNOLOGY**

Candidates seeking Full-Time admission into this two years programme must have obtained all the following:

- Five Credit level passes at NECO/SSCE/WASC/GCE ‘O’ Level at not more than two sittings in the following subjects:
- Credit in Mathematics
- Credit in English Language
- Two Credit Level passes in any two of the three Science subjects:

Biology, Chemistry and Physics – and at least a pass in the third.

Any other credit level pass in any other subjects, apart from the tonal languages (Igbo, Hausa, Yoruba etc), Christian Religions Knowledge and Islamic Religions Knowledge.

Candidates seeking Part-Time admission into this three years programme are also expected to have the above requirement.

**HIGHER NATIONAL DIPLOMA (BIOCHEMISTRY)**

Candidates seeking Full-Time admission into this two years programme must have obtained all the following:

Five Credit level passes at NECO/SSCE/WASC/GCE ‘O’ Level at not more than two sittings in the following subjects:

- Credit in Mathematics
- Credit in English Language
- Two Credit Level passes in Chemistry and any one of Physics, or Biology and at least a pass in the third Science subjects:
- Any other credit level pass in any other subjects, apart from the tonal languages (Igbo, Hausa, Yoruba etc), Christian Religions Knowledge and Islamic Religions Knowledge.
- A National Diploma Science Laboratory Technology with a pass grade of not less than Lower Credit from a recognized and accredited Polytechnic or College of Technology.
- Successful completion of the compulsory one-year post-ND Industrial Attachment on a duty schedule relevant to this programme in Private or Public establishments

**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.

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**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.