200 Level Industrial Mathematics

ALPHA SEMESTER 200 LEVEL

MAT210: SETS, LOGIC & ALGEBRA

Introduction to the language and concepts of modern Mathematics. Topics include; Basic set theory: mappings, relations, equivalence and other relations, cartesian products. Binary logic, methods of proof. Binary operations. Algebraic structures, semigroups, rings, integral domains fields. Homeomaphics. Number systems; properties of integers, rationals, real and complex numbers.

MAT211: Real Analysis I (3 Units)

Introduction to Mathematical Proof; Methods of proof: direct and indirect Proof. The real number system. The number e; the absolute value function, Properties of the absolute value function,  Sequences in ; convergence of sequence in (abstract definition). Properties of convergent sequences in . Monotone sequence; Cauchy sequence; properties of Cauchy sequence. Limits of functions; one-sided limits: right-hand and left-hand limits; Indeterminate forms of the type ; indeterminate forms of the type 0. or indeterminate forms of the type of L’Hospital’s Rule. Infinite Series, Positive Series and Test of Convergence. Taylor’s theorem and its application to approximate calculations. Numeric series. Cauchy Criterion. Comparison Tests; D’Alembert’s Ratio Test; Cauchy Test; Raabe’s Ratio Test. Improper integral; Cauchy Integral Test; Alternating series. Absolute convergence; conditional convergence. Convergence Test for alternating series: Leibnitz Ratio Test; Abel’s Ratio Test; Dirichlet’s Ratio Test. Power series: radius of convergence; Cauchy – Adamara formula.

 

MAT212: Mathematical Methods I (3 Units)

Partial differentiations, application and classification of critical points of functions of two variables. Lagrangian multipliers. Coordinate system: change from Cartesian to polar, spherical and cylindrical coordinate systems. Taylor’s and Maclaurin’s series. Differential coefficients of the nth order. Leibnitz’s rule, application to the solution of differential equations.

 

MAT213: Differential Equations I (3 Units)

First order ordinary differential equations. Existence and uniqueness. Second order ordinary differential equations with constant coefficients. General theory of nth order linear equations. Laplace transforms, solution of initial value problem by Laplace transform method. Simple treatment of partial differential equation in two independent variables. Solution of systems of first order linear equations. Application of ordinary differential equations and partial differential equations to physical life and social sciences.

 

MTH 214 Linear Algebra I (2 Units)

Vector space over the real field. Subspaces, linear independence, basis and dimension. Linear transformations and their representation by matrices - range, null space, rank. Singular and non-singular transformation and matrices. Algebra of matrices.

 

MAT215: Probability Distribution 1 (3 Units)

Bayes theorem. Discrete and continuous density functions. Cumulative distribution functions. Mean, variance and higher-moments. Chebyshev’s inequality. Binomial, Poisson, Uniform and Normal distributions. Law of large numbers Limit theorems in probability Central limit theorem for independently and identically distributed random variables.

 

MAT216: Introduction to Sample Survey (3 Units)

Populations; Census and sample survey; Comparison of Sample and census. Sampling and non-sampling errors. Definition of concepts in sampling. Various sampling techniques. Use of Random Numbers.

 

ACC211: Financial Accounting I (2 Units)

This course introduces the students to basics bookkeeping and accounting. This foundation course in accounting aims at exposing the students to the basic techniques of classifying and recording the different types of costs and revenues associated with transactions and computing simple practical reports. Topic areas include: definition of accounting data, accounting information, uses and uses of accounting information, historical sketch of accounting, prospects for accountants, background of current accounting methods, transactions. Nature, purpose of basic concept of accounting, the accounting equation, measurement of income, costs, assets, equities. Subsidiary books-sales day book, purchase day book, returns inward journal, returns outward journal and journal proper. Cash book-single column, double column and three column cash book. Differences between capital and revenue, reserves and provisions, trade and cash discounts etc. accruals and prepayments capital and revenue expenditure. The ledger and trial balance, uses. Bank reconciliation statements, types causes of differences. Final accounts of sole trader. Income measurement-end of year adjustment in final accounts. Introduction to accounting standards, history of NASB, IASC, IASB, SAS, IAS, IFRS.

 

BUS211: Principles of Management 1(2 Units)

The course is divided into lecture series covering the wide scope of the multi-dimensional and the multi-displinary nature of management practice and organizational objective. Each lecture is presented in a form that allows for a theoretical study of the principles, theories an concepts underlining the practice of management. Applications of real life cases are also used to draw close the objective of the course. In addition, each lecture is ended with review questions to assist students test their understanding. General discussion on course structure and outline, authority and delegation, comparative management, managing productivity. Employee motivation and performance, management information system, strategic management, elements of international management, elements of international management II, total quality management, basic elements of control in organization, management system concept and interpersonal relations and communication.

CSC 211: Computer Programming I (3 Units)

Introduction to problem solving methods and algorithm development, designing, coding, debugging and documenting programmes using techniques of a good programming language style, programming language and programming algorithm development. A widelyused programming language should be used in teaching the above. E.g. C/C++ language.

 

CSC213: Structured Programming (3 Units)

Structured programming elements, structured design principles, abstraction modularity, stepwise refinement, structured design techniques. Teaching of a structured programming languages etc.

 

CSC216: Foundation of Sequential and Parallel Programming (3 Units)

The relationship between H/L languages and the computer architecture that underlies their implementations: basic machine architecture, assembles specification and translation of P/L Block structured languages, parameter passing mechanisms.

 

ECN211: Principles of Economics I (Micro) (2 Units)

The course deals with a more in-depth treatment of ECO111. It also introduces the use of quantitative techniques in Micro-economic theory. Topics to be covered include: The subject matter of economics, positive and normative economics, common fallacies in economics, and basic economic question in all types of economics. Theories of demand and supply, equilibrium concept and possibility of disequilibrium with emphasis on cobweb theory; Theory of elasticity of demand and supply with applications. Theory of consumer’s behaviour: The cardinalist approach, the indifference curve or ordinalist approach and the revealed preference hypothesis. Theory of production: - Definition and types; factors of production, production functions and types; the short run and the long run analysis in production; output elasticity; the law of returns to scale. Theory of cost and revenue. Basic discussions of market structure and behaviour in perfect competition, monopoly and monopolistic competition. (Pre-requisite – ECO111).

 

EDS211: Entrepreneurial Development Studies III (1 Unit)

This course is the continuation of EDS111 and EDS121. Objective: The course is aimed at exposing students to the opportunities in Entrepreneurship and the basic characteristics required for successful performance as entrepreneurs using some related biographical studies of entrepreneurs and management giants as case studies.

Topics covered include the following: Relevance of Entrepreneurial and SMEs to the Nations and Societies and Individuals, More on biographical studies of business thinkers, Entrepreneurs and Management Giants, Introduction to International Entrepreneurship, Entrepreneurship and globalization, accelerated industrialization through active promotion and development of SMEs, SMEs: Definitions, Advantages and Disadvantages, Management Challenges of SMEs. Managing the Business Growth. Students are also expected to submit a term paper on Entrepreneurship from some selected areas of SMEs (Small and Medium Scale Enterprise) activities, operations etc.

 

TMC211: Total Man Concept III (1 Unit)

Self-Development Paradigms. The focus of this course is on the identification of building blocks of self-development in the context of personal visions, mission and personal capacity building. Major self-motivational blocks, the power and place of focus, the place of the human thought process and how to enhance thinking and reasoning for creativity

 

TMC212: Total Man Concept – Sports (0 Unit)

Jogging: This helps in many ways, our focus here on the benefit of jogging is for physical fitness that reduced risk of Osteoporosis. Osteoporosis is the condition when the bones become increasingly porous and brittle. It can result to bone fractures and deformities. Flexibility Exercise: Flexibility can be said to be the freedom and ease of motion performed within an individual normal anatomical range. To improve one’s flexibility range at a joint or muscles persons should engaged in exercises that involves; flexion, adduction, extension and circumduction at the various joints. Athletics (Field Events): Institutional athletics programme represent a multi financial industry and are generally linked to school branding and reputation. Athletic programme drive enrolment and heightens institutional profile, and often resulting in financial windfall for those whom their students engaged in.

 

GST211 - Introduction to Philosophy and Logic (2 Units)           

The aim of this course is to expose students to the meaning of philosophy and a brief survey of its branches. While discussing its major branches, emphasis will be on Logic. The topics to be taught in this respect will include Symbolic logic, Quantificational theory and Logical rules. Other sub-topics will include arguments and evidence, fallacies, statements and sentences, laws of thought, rules of inference and deduction and analogical reasoning. The course will also provide valuable insights into the origin and content of traditional logic.

 

Omega Semester

 

PHY221 - Fluid Dynamics (1 Unit)                                                 

Introduction and definitions, properties of fluids, fluid-flow; stream lines, viscosity; fluid kinetic and potential energy, kinetic energy of tube flow; velocity relationship, velocity profile for tube flow, Stoke’s law, continuum theory, short and long-range body forces; laminar and turbulent motion-transformation from one to the other, Bernoulli’s equation: expansion and spin in a fluid; concept of vorticity equation in a rotating fluid, relevance in dynamic meteorology.

 

PHY222 - Semi-conductors Technology (2 Units)                                     

Physico-chemical properties of semiconductors, preparation, purification, growth of sample crystals; evaluation of chemical structural properties; doping effects, mechanical and metallurgical properties; thermodynamics and kinetic considerations in crystal growth from melt and by chemical vapour transportation techniques.

 

PHY223 - Waves and Optics (2 Units)                                                       

Wave phenomena, acoustical waves, the harmonic oscillator, waves in strings, energy in waves, longitudinal waves, standing waves, group and phase velocity; spherical waves, Doppler effect; geometrical optics: refraction and reflection at spherical surfaces, thin and thick lenses, prisms, optical instruments, microscopes, telescopes, spectrometers; physical optics: interference, diffraction, dispersion, scattering, thin films, crystal diffraction, polarization and holography.

 

PHY224 - Computational Physics I (1 Unit)                                  

MATLAB basic: MATLAB Windows and Help window; Problems and Problem-Solving Techniques, Flowchart Symbols; Simulations, and Computer Solutions. Basic Operators (Arithmetic, Logical and Relational) Functions, Intrinsic functions and Variables; simple arithmetic operations, Complex Numbers. Simple MATLAB commands and functions, punctuation and comments, Edit/Debugger window, simple program files. Matrices, Arrays, Vectors, and Sets. Trigonometric, Exponential, Logarithmic, and Special Functions. Mapping and Control systems Tool boxes. Introduction to MATLAB Programming, Selection Statements, Loop Statements and Vectorizing Code.

 

GST211: Philosophy, Logic and Human Existence (2 Units)

The Benefits of the Course include the following: An insight into the search for self-understanding, an unquenchable thirst for the love and pursuit of wisdom, an encouragement for the inquisitive minds to seek answers to the question concerning human existence, and the search for the fundamental beliefs that are rationally justified.

Course Description: Background, Nature and definitions of philosophy. History of Ancient philosophy, History of Medieval philosophy, History of Modern philosophy, African philosophy. Revision and Mid-semester examinations. The Nature of Logic, The Nature of Argument, Laws of Thoughts, Truth-tables, Venn Diagrams, Fallacies. The Question of Life, Purpose and Death. Freewill and Determinism. Existentialism and Humanism

 

OMEGA SEMESTER 200L

MAT221: Real Analysis II (3 Units)

Uniform Continuity, Differentiability of functions, Continuity of functions. Classification of points of discontinuities. Monotone functions, Maxima and Minima and the Mean Value Theorem, and Rolle’s Theorem. Applications of the Mean Value theorem. Introduction to Riemann Integral.

 

MAT222: Mathematical Methods II (3 Units)

Sturm – Liouville problem. Orthogonol polynomios and functions. Fourier series and integrals. Partial differential equations: general and particular solutions. Linear equations with constant coefficients, first and second order equations, solutions of the heat, wave and Laplace equations by the method of separation of variables. Eigen function expansions. Methods of variation of parameters. Fourier transforms.

 

MAT223: Use of Mathematical Package II (0 Unit)

The use of mathematical package (Mathematica) to solve problems on MAT212 and MAT213.

 

MAT224: Introduction to Numerical Analysis (3 Units)

Introduction to numerical computation. Solution of non-linear equations. Systems of linear equations. Iterative schemes. Finite difference operators. Interpolation and approximation. Numerical differentiation and quadrature. Numerical Integration. Curve fitting and least squares.

 

MAT225: Abstract Algebra (3 Units)

Set; relation; equivalence relation; mapping; order (partial order, total order, well-ordering). (Definitions and examples); binary operations, homomorphism of groupoid; fundamental algebraic structures: semigroups, monoids, groups, rings, integral domains, skew field, fields, ideals (definitions, examples and elementary properties). Homomorphism of rings: elementary number theory: Divisibility and primes; Euclid’s algorithms; congruences; polynomials in single variable. Factorization; partial fractions; circuit algebra; Boolean logic; Boolean algebra.

 

MAT226: Regression and Analysis of Variance (3 Units)

Simple linear regression and correlation, Elementary polynomial and multiple regression curves, multiple correlation coefficients. Tests concerning correlation and regression coefficients. Partial correlation coefficients. Analysis of simple, double and multiple classifications of balanced data in crossed and nested designs. Analysis of variance involving unbalanced data, incomplete tables, missing values etc. Treatment of non-normality and heterogeneity of variances in data

 

MAT227: Psychometrics (3 Units)

Introduction to Scaling procedures: Scaling individual test items. Percentile scaling, sigma-scaling, T-scaling of rating or ranking. Test theory item analysis; parallel test, methods of estimating reliability and validity, intelligence tests, etc. Element of factor analysis.

 

MAT228: Use of Statistical Package II (SPSS)/Lab (0 Unit):

The use of statistical package (R) to solve problems on MAT215.

 

MAT229: Linear Algebra II: (2 Units)

Change of basis, equivalence and similarity. Eigenvalues and eigenvectors. Minimum and characteristic polynomials of a linear transformation (Matrix). Caley -Hamilton theorem. Bilinear and quadratic forms, orthogonal diagonalization, Canonical forms.

 

ACC221: Financial Accounting II (2 Units)

Redemption of shares and debentures. Miscellaneous accounts: Consignment accounts, goods on sale or return, royalties, containers, investments, joint venture, contract account, departmental account, Bills of exchange, joint venture account, and Sinking funds. Stock valuation and computation of insurance claims. Depreciation including preparation of fixed assets schedule/register. (PR-ACC211)

 

BUS 221: Principles of Management II (2 Units)

General discussion on course structure and outline, Authority and Delegation, Comparative management and performance, Management Information system, Strategic management Elements of International management 1, Elements of International management 11, Total quality management, Basic elements of control in organization, Management system concept and Interpersonal relations and communication.

 

CSC 221: Computer Programming II (3 Units)

Principles of good programming, structured programming concepts, Debugging and testing, string processing, internal searching and sorting, recursion. Use a programming language different from that in CSC 201 e.g C# or VB.net.

 

CSC 223: Computer Hardware (3 Units)

Computer circuits; diode arrays, PIAs etc, Integrated circuit fabrication process. Use of MSI, LSI and VLSI IC hardware Design. Primary and secondary memories; core memory, etc. Magnetic devices; disks, tapes, video disks etc. Peripheral devices; printers, CRT’s keyboards, character recognition. Operational amplifiers; Analog-to-Analog computer.

 

CSC 225: Operating System (3 Units)

Overview of O/S: Role & Purpose, Functionality Mechanisms to support Client-server models, handheld devices, Design Issues influences of Security, networking, multimedia, Windows. O/S Principle: Structuring methods Abstraction, processes and resources, Concepts of APIS Device organization interrupts. Concurrency: States & State diagrams Structures, Dispatching and Context Switching; interrupts; Concurrent execution; Mutual exclusion problem and some solutions Deadlock; Models and mechanisms (Semaphones, monitors etc.). Producer-Consumer Problems and Synchronization. Multiprocessor issues. Scheduling & Dispatching. Memory Management: Overlays, Swapping and Partitions, Paging & Segmentations Placement & replacement policies, working sets and Trashing, Caching.

 

ECN221: Principles of Economics II (Micro) (2 Units)

This course examines the contributions of sectors of the Nigerian economy to national output, relationship between these sectors. Role of national institutions. Economic development and social changes.

EDS221: Entrepreneurial Development Studies IV (1 Unit)

Topics covered include the following: More on biographical studies of business thinkers, Entrepreneurs and Management Giants in Nigeria, Africa and Europe. Theoretical Framework of Entrepreneurship, Feasibility studies, Marketing Management in Entrepreneurship, Impact of Modern Technologies on Entrepreneurial Ventures in Developing Countries. The SMEs: Challenges and Prospects, Financing of SMEs in Nigeria. Planning, SMEs and Capital Markets. Term paper on Entrepreneurship from some selected areas of SMEs (Small and Medium Scale Enterprise) operations.

 

TMC221 Total Man Concept IV (1 Unit)

Success Parameters. Understanding success, personal profile building and biographical analysis of some success giants forms the emphasis of this course. The role of wisdom in the context of success is explored along the lines of understanding, building and communicating wisdom. In addition, the place of self-identity building is explored alongside with a focus on identifying personal measures and inches of self-worth and self-appreciation in the context of success.

 

TMC222 Total Man Concept – Sports (0 Unit)

Jogging: This helps in many ways, our focus here on the benefit of jogging is for physical fitness that reduced risk of Osteoporosis. Osteoporosis is the condition when the bones become increasingly porous and brittle. It can result to bone fractures and deformities. Games (Table – tennis): This centres on the mastery of basic skills, game situation as well as rules and regulation governing the various sports that will be attempted. Focuses are also being on appreciation of various sports and the spirit of sportsmanship that is ‘win or loss’ taking it in good fate. Athletic (Field Events): Institutional athletics programme represent a multi financial industry and are generally linked to school branding and reputation. Athletic programme drive enrolment and heightens institutional profile, and often resulting in financial windfall for those whom their students engaged in.

 

GST221: Nigerian Peoples and Culture (2 Units)

The concept of culture.Study of Nigerian history, culture and arts in pre-colonial times.Social beliefs and the Nigerian’s perception of his world.Culture areas of Nigeria and their characteristics.Evolution of Nigeria as political unit.Indigene/settler phenomenon.Concepts of trade, economic self reliance and social justice.Individual and national development, norms and values.Negative attitudes and conducts (cultism and related vices).Re-orientation of moral and national values as well as moral obligations of citizens.Environmental problems.

 

GST222: Peace and Conflict Studies (2 Units)

The concept of conflict: Definitions, Constructive and Destructive angles to understand conflict. The causes of conflict: Contradicting value systems, Competition for scarce resources, Psychological needs of people, Perception (self, others, circumstances, interests), Manipulations of information. Conflict Handling Styles: Avoidance, Confrontation, Role-Playing, Third-Party decision-making, Joint-Problem Solving, Compromising. The life angle of conflict: From Organization-transformation. The concept of peace: Definition of concept; Peace-making, Peace-keeping. Power and conflict: Types of power - Expert power, Referent power, Legitimate power, Reward power, Coercive power.