100 Level Industrial Mathematics

ALPHA SEMESTER 100 LEVEL

MAT111: Algebra (3 Units)

Algebra of Sets; special sets (ℕ⊂ℤ⊂ℚ⊂ℝ⊂ℂ); theory of indices, law of logarithms, indicial equations, surdic equations. Polynomials, the remainder and factor theorems; polynomial equations and inequalities-especially linear, quadratic and cubic. Solving quadratic equations and cubic equations with an integral root. Domain and zeroes of rational functions. Partial fractions. Permutations and combinations. The binomial theorem for any index and applications. Sequences and series of real numbers (including AP and GP). Algebra of complex numbers. Introduction to m x n matrices; elementary operations on matrices and applications to solution of linear equations. Elementary properties of determinants of at most 3 x 3 matrices; The Rule of Sarrus.

 

MAT112: Trigonometry and Analytical Geometry (2 Units)

Trigonometric functions; exponential and logarithmic functions. Circular measure; hyperbolic functions. Equations of lines and planes; conic sections (circle, parabola, hyperbola, ellipse).

 

MAT113: Elementary Mechanics (2 Units)

The vector approach should be used where possible in what follows: The notions of displacement, speed, velocity and acceleration of a particle. Newton’s laws of motion and applications to simple problems. Work, power, conservation of energy to motion of particles and those involving elastic and spring. Collision of smooth spheres. Simple problems of projections. Conical pendulum. Simple harmonic motion. Resultant of any number of forces acting on a particle. Reduction of coplanar forces acting on a rigid body to a force and a couple. Equilibrium of coplanar forces, parallel forces, couples laws of function. Applications of the principle of moments. Moments of inertia of simple bodies.

 

MAT114: Statistics I (2 Units)

Introduction to statistics. Diagrammatic representation of descriptive data. Measures of location and dispersion for ungrouped data. Grouped distribution, measures of location and dispersion for grouped data. Problems of grouping. Associated graphs. Introduction to probability. Sample space and events, addition law, use of permutation and combination in evaluating probability.

 

ACC111: Principles of Accounting I (2 Units)

This course introduces the students to basic 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 cost and revenues associated with transactions and computing simple practical reports. Topic area include: definition of accounting data, accounting information, users 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 trade. income measurement-end of year adjustments in final accounts. Introduction to accounting standards, history of NASB, IASC, IASB, SAS, IFRS.

 

BLY112: Introductory Cell Biology (2 Units)

Cellular basis of life, structure and organisation of plant and animal cells. Functions of cells and cellular organelles. Cell division, heredity.

CHM111: General Chemistry (3 Units)

Historical development of the atom: definition of atoms, Daltons atomic theory, relative atomic masses. Fundamental particles of the atom and atomic structure. Modern electronic theory of atoms; electronic configuration of the elements. Periodicity of the elements. Radioactivity: Stoichiometry: mole concept, chemical formulas, equations and calculations. States of matter: gas empirical gas laws, Ideal Gas Equation of State, qualitative treatment of kinetic theory of gases, real gases and deviations from ideal gas laws; liquid, macroscopic properties of liquids, evaporation, vapour pressure and its variation with temperature, boiling point, heat of vaporization, Clausius-Clapeyron equation, freezing point, melting point and phase diagrams of simple systems; solids types of solids and their properties, ionic solids and lattice energy, crystalline solids. Chemical Energetic: definition of some thermodynamic terms, heat, work, internal energy, enthalpy, pressure-volume work. Relationship between internal energy and enthalpy. First law of thermodynamics and its applications. Chemical Kinetics: rate of reaction, factors affecting reaction, order of reaction and how to determine it for zero order and first order reaction, rate of equation and temperature, reaction mechanisms and rate equation for simple reactions. Chemical Equilibrium: reversible reactions and chemical equilibrium, equilibrium constant, factors affecting equilibrium. Le Chateliers Principle. Effect of temperature on equilibrium constant. Relationship between equilibrium constant and standard Gibbs Free Energy, ionic equilibrium. Electrochemistry: types of conductors, classification of compounds, electrolysis, Faradays laws of electrolysis. Application of electrolysis. Introduction to electrochemical cells.

 

CSC111: Introduction to Computer Science (3 Units) Definition of computer science. History of computer science and their generations, Computer Hardware; functional components, Modern I/O units. Software: Operating Systems, Application Packages Program: Development; Flowcharts and algorithms; Program Object; BASIC or VISUAL BASIC Fundamentals.

 

ECN111: Introduction to Economics I (2 Units)

This course is essentially an introductory one and it focuses on microeconomic theory. Topics to be covered include the nature and significance of economics. Areas of specialization in economics, historical development of ideas and major findings in the various areas of specialization; the economic tools of analysis; the demand and supply analysis; the basic concept of elasticity.

 

PHY111: Mechanics and Properties of Matter (2 Units)

Units and dimensions, Scalar and vectors, Particle kinematics, Newtons laws, Friction, Work, Energy, Centre of mass, Simple harmonic motion, Rigid body dynamics, Kepler’s laws, Pressure in fluids, Intermolecular forces, Hooke’s law, Young modulus, Fluid flow Streamline turbulence, Stoke’s law surface tension.

 

PHY112: Heat, Sound and Optics (2 Units)

Temperature and Zeroth law of thermodynamics, thermometers, Heat transfer, Kinetic theory of gases, Gas laws, First and second laws of thermodynamics; Concept of waves, transverse and longitudinal waves, standing waves, propagation of waves in pipes and strings, beats, Doppler effect; Electromagnetic spectrum, Huygens’s Principle, Images formed by a single surface, spherical mirrors and thin lenses; aberrations; the eye, optical instruments, Interference, single slit, Diffraction, granting, Polarization, elementary examples.

 

PHY119: Physics Practical (1 Unit)

Simple experiment illustrating the topics covered in PHY111 and PHY112.

 

  1. Use of Library, Study Skills and Information Communication Technology I. (2 Units)
  • Libraries and Society

History of the development of libraries, the roles of libraries in various communities, cultural and educational revival, the role of libraries in adult literacy programmes, user studies, planning library services in developing countries.

  • Library Resources and their Role in Education

Information bearing media: books, serials, cartographic materials, CD-ROMs, sound recordings, motion pictures, graphics, machine readable data, use of library materials by teachers and students.

  • Reference Sources and Services

Introduction to reference and Bibliography. Definition and concept of reference services, characteristics and uses of different types of reference materials; selection and evaluation of reference works.

  • Conservation of Library Materials

History of paper and printing, causes of damage to paper with emphasis on tropical areas, processes of book repair or restoration, preservation and repair of non-book materials, library crimes and security.

  • Using the Covenant University Library
  • Identification of PC parts and peripheral devices: functions, applications, and how to use them. Safety precautions. Procedure for booting a PC.
  • Filing system: directory, sub-directory, file, path, and how to locate them.
  • Word processing: principle of operation, application, demonstration, and practical hand-on exercises in word processing using a popular word processing package.
  • Internet: services available, principle of operation, application, demonstration and hand-on practical exercises on e-mail and www using popular browsers.

 

EDS111: Entrepreneurial Development Studies I (1 Unit)

Approach: Resource persons will be drawn from the academics and industries as a way of bridging the gap between town and gown. Students are exposed to actual industrial environment.

Objective: -This is a foundation course that is aimed at imparting entrepreneurial orientation and skill to the students.

Topics covered include the following: Some basic concepts and definitions of Entrepreneurship. Entrepreneurial equation, historical background of Entrepreneurship. Definition of Entrepreneurship and Entrepreneur. Characteristics of Entrepreneurship. Qualities of successful entrepreneur, Entrepreneurship and Economic growth, Environment of Entrepreneur Development, What entrepreneurship involves, Elements of Entrepreneurship, Components of entrepreneurial ventures, Fundamental changes that stimulate entrepreneurship, The Entrepreneurial process, Benefits of being an Entrepreneur, Contributions of memorable early Entrepreneurs, Time Management. Students are also expected to submit a term paper on Entrepreneurship from some selected areas of SMEs (Small and Medium Scale Enterprise) operations.

 

TMC111: Total Man Concept I (1 Unit)

Introduction to Total Man Concept (Part 1). This course provides explanatory constructs for TMC as a course of study in understanding life and development of a total man. It provides a basic introduction to the fundamental aspects of the Total Man Concept, exploring life from the biblical, philosophical and experiential perspectives. It also sets out to explore the purpose and pursuit of life with a view to identifying the foundational anchors of life, the place of visions, dreams, goals and the foundational principles for making the most of life.

 

TMC112: 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. Aerobics exercise: This is said to be any activity that can get the heart rate going and keeps it at a sustained rate over a period of time. E g twenty minutes. An aerobic activity helps to increase cardiorespiratory fitness which is one of the fine essential components of physical fitness. Being aerobically fit you can feel it as you go about. Swimming (safety measures): the importance of swimming lessons for water safety cannot be overstated. Everyone and especially young people should be able to swim. Swimming has a lot of benefits which include health benefit, psychological benefit, most importantly safety benefit which involved discipline that is adhering to the rules governing swimming and learning of basic skills. The focus of TMC - sports is the physical fitness of man. It involves Games, Sports and Athletics.

 

GST111: Communication in English I (2 Units)

At the end of the course, students should be able to: Organize their study time, Listen to lectures and effectively manage lecture notes, Develop effective reading habits and increased reading speed, Apply effective methods of summarizing reading materials, & Develop a wide range of vocabulary for a successful academic career.

Method of Teaching/Teaching Aids: Guided instructions, interactive sessions; group works/projects. Overhead projector/slides will be used.

Module A: ELEMENTS OF STUDY SKILLS – Preparing for Academic Success, Tools and Facilities for Effective Study, Challenges to Effective Study Habits,

Module B: LISTENING SKILLS/NOTE TAKING –Conditions for Effective Listening, The Nature of the Lecture, Aspects of Effective Note taking.

Module C: EFFECTIVE READING SKILLS –Overcoming Poor Reading Habits, Increasing the Speed of Reading, Types of Reading Materials and Note-making, Understanding and Summarizing Reading Materials, Further Works on Summarizing.

Module D: ASPECTS OF VOCABULARY DEVELOPMENT –Sources of English Vocabulary, Ways of Increasing the Vocabulary, Revision & Examination.

 

OMEGA SEMESTER 100L

MAT121: Calculus (3 Units)

Functions: Concept and notation. Polynomial and rational functions. Idea of limits; technique of finding limits. Derivatives: definition and calculation from first principles. Derivatives of constants, power, sums, products, quotients. Composite functions, circular functions, logarithmic/exponential function. Higher order derivatives; applications, small increments, approximations and errors. Extrema; integration of sum/scalar multiple of functions with applications; integration of circular functions. Definite integrals: general properties of definite integrals, some applications to geometry, mechanics, Biology and Social Sciences. Derivatives of hyperbolic functions; inverse circular/hyperbolic functions. Method of taking the logarithm before differentiating; successive differentiation of implicit functions and of functions like eatsin(bt + c). Hard Integration: Further techniques. Evaluation of integrals of the form . Integration of irrational functions, integration by substitutions, integration by parts. Reduction Formula.

 

MAT122: Intro. to Vector Analysis (2 Units)

3-Dimensional cartesian coordinate systems. Definition and representation of vectors. Elementary vector algebra. Multiplication of a vector by a scalar; addition of vectors; scalar products of two vectors; vector products; triple vector products. Direction cosines. Solution of vector equations. Calculus of vector functions. Differentiation of vector function. Plane curves and space curves. Serret-Frenet’s formulae. Differential definition of grad, div and curl and their simple applications. Integration of vector function.

 

MAT123: Statistics II (2 Units) (L. 15: P. 0: T. 15)

Linear correlation, scatter diagram, product moment and rank correlation. Linear regression. Probability distribution: binomial, Poisson and normal distributions. Sampling and sampling distribution. Estimation of population parameters, confidence intervals, test of hypothesis concerning two or more populations, contingency tables.

 

MAT125: Use of Statistical Package I (0 Unit)

The use of statistical package (SPSS & Excel) to solve problems in MAT114 and MAT123.

 

MAT126: Use of Mathematical Package I (0 Unit)

The use of mathematical package (MATLAB) to solve problems in MAT213 and MAT214.

 

BLY121: Plant Diversity: Forms and Functions (3 Units)

Diversity, morphology and general characteristics of algae, bryophytes, pteridophytes, gymnosperms and angiosperms structure and functions of main organs in angiosperms.

 

  1. 121-Introduction to Problem Solving (2 Units)

Problem solving strategies, Roles of algorithm in problem solving process, implementation strategies, concepts and properties of algorithm. Using C-language.

 

ECN121: Introduction to Economics II (2 Units)

Introduction to Macroeconomics: National Income Determination; the Public Sector in the National Economy; Macroeconomic Policy Objectives and Instruments; Introduction to Money and Banking, Introduction to Economic Growth and Development. Trade Politics with Particular reference to Nigeria.

 

PHY121: Electricity and Magnetism 1 (2 Units)

Electricity, Coulomb’s law, Ohm’s law. Gauss’s theorem, capacitors, Kirchhoff’s law, electrical energy, DC, Bridges potentiometer, magnetic effect of current, multimeters, DC and AC motors, and generators, hysteresis, power in AC Circuits, semi-conductors, conductivity and mobility, rectification.

 

PHY122: Atomic and Nuclear Physics (2 Units)

Atomic and nuclear physics: theory of atomic structure. Thompson, Rutherford and Bohr’s theories, the hydrogen atom. Properties of nucleus, natural radioactivity, wave particles duality of light, X-rays, photo-electricity, thermionic emission, Diode valve.

 

PHY129: Physics Practical II (1 Unit)

A selection of experiments to illustrate the principles covered in PHY121 and PHY122.

 

CST121: Use of Library, Study Skills and Information Communication Technology II (2 units)

  • Audio-visual resources

Variety and forms, selection organization and uses, operation and care of both hard and soft wares.In-house production of audio-visual resources. This demands a lot of cooperation between library staff and lectures.

  • Documentation

Definition, genesis and growth; basic functions, theory and techniques of analyzing, storing and retrieving information through manual and mechanical applications; abstracting; indexing principles and methods.

  • Serials Librarianship

Types of serials, importance of serials, selection, organization and uses, storage of serials, print and microform, ISSN, users access through abstracts and indexes.

  • Library Automation
  • Computers literacy, different types of computers, programming, designs. Value of computers in the library, OPAC, Online database, Internet, search engines, digitization, virtual library etc.
  • Overcoming Library Abuse
  • Spreadsheet: principle of operation, application, demonstration and practical hand-on exercises in spreadsheet using a popular spreadsheet package.
  • Database Management: principle of operation, application, demonstration and practical hand-on exercises in using a popular relational Database Management package.
  • Report presentation
  • Software package: principle of operation, application, demonstration and practical hand-on exercises in using a popular report presentation package such as Power Point package. Mini-Project to test proficiency in use of the software packages.

 

EDS121: Entrepreneurial Development Studies II (1 Unit)

Topics covered include the following: Generating Entrepreneurial ideas and translating same with action, the source and approaches to the study of Entrepreneurship, constraints of launching Business, Youths and Money Management, Investment, Introduction to Capital Market, Classification of Entrepreneurs, Economic Importance of Entrepreneurship, Entrepreneurial Windows. Factors that influence Entrepreneurship. The practice of Entrepreneurship Productivity, Salaried Employment Vs Entrepreneurship, Introduction to Marketing Management, Forms of Business Organizations, their advantages and disadvantages. Introduction to International Trade. Students are also expected to submit a term paper on Entrepreneurship from some selected areas of SMEs (Small and Medium Scale Enterprise) operations.

 

TMC121 Total Man Concept II (1 Unit)

Introduction to Total Man Concept (Part 2). This course focuses on the exploration of self as it relates to self-discovery and the context of the changing life course and stages. It attempts to help students have some understanding of who they are in relation to God and the context of human systems. The spiritual, physical, psychological, cultural and ecological dimensions of self and the development of positive self-image, self-esteem and self-actualisation parameters are also explored.

 

TMC122 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. Aerobics exercise: This is said to be any activity that can get the heart rate going and keeps it at a sustained rate over a period of time. Eg twenty minutes. An aerobic activity helps to increase cardiorespiratory fitness which is one of the fine essential components of physical fitness. Being aerobically fit you can feel it as you go about. Athletic (track & short quarter mile races): 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.

 

GST121 Communication in English II (2 Units)

GST121 is a continuation of GST111. However, while GST111 concentrated on study skills, with emphasis on reading and summary skills, GST121 will deal with Elements of English Grammar together with the processes of written communication. It will also emphasize skills for eliciting information from simple literary text, as well as a survey of the Nigerian and African literary tradition.

At the end of this course, students should be able to: demonstrate skill for effective communication in English in different social contexts, develop adequate writing skills for academic purpose, and attain a reasonable level of competence for the appreciation of literary texts. Module A: Elements Of Grammar And Usage –A review of GST111 and an introduction to GST121, Elements of the English Simple Sentence, Problems related to components of the sentence (parts of speech), Types and functions of sentences, The paragraph: its structure and development

Module B: Process Of Written Communication –Essays, Mid-semester test, Letters, The mechanics of writing, Module C: Introduction To Technical Writing –Proposals, Reports, Module D: Aspects Of Literature –An overview of African and Nigerian Literature, Aspects of Literary Appreciation and A study of selected literary texts.

Recommended Reading:

Adegbija, E. (2004) Language, Communication and Study Skills. Ota: Covenant University Press

Adetugbo, A. (1997) Communicative English and Study Skills. Lagos: University of Lagos Press

Akere, F. (1990) English Across Disciplines: A Use of English Course Text. Lagos: Pumark Nig. Ltd.

Banjo, L. & J. Bisong (1985) Developmental English. Ibadan: Spectrum Books Ltd.

Eko, E. (1981) Effective Writing. Uyo: Scholars Press

Ogbulogo, C. (2003) Problem Areas in English Grammar and Usage. Lagos: Estorise Nig. Ltd.

Ogbulogo, C. (2004) Business Communication in Practice. Lagos: Sam Iroanusi

Literature Books:

Novel

Ike, Chukwuemeka (2001), Conspiracy of Silence, Lagos:Longman

Drama

Yoloye A. Just A Little Slumber, Lagos Free Gift.

Poetry

Senanu K. and Vincent T.ASelection of African Poetry, Lagos: Longman

 

GST122 Communication in French (2 Units)

The course is designed to enable students to acquire basic conversational/speaking and writing skills. Attention will therefore be focused on the basic grammatical structure and relevant items of vocabulary (lexical items) of the language. The course will be essentially oral but there will also be (reading) comprehension composition (writing) exercises. Module 1: Essentials of the French Language, Pronunciation versus spelling/orthography, pronunciation and recognition of French sounds, Greetings and introducing self, Module 2: Meeting people and introducing them, Describing people: Professions and nationalities, Describing self: family and school, Telling age: days of the week and month of the year, Describing places: countries and cities/towns, Mid-semesters Examination. Module 3: Making request, Making travel arrangements, Departure and arrival at destination, Ordering a meal in a restaurant, Shopping for clothes and other items, Banking transaction of visitor tourist, Revision, and (End of Semester) Examinations.