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    Department of Mathematical Sciences

    Department image
    Available Programme(s)
  • B.Sc. Mathematics




    • FOREWORD

    OMEIZA YUSUF AHMED (HOD)

    PHILOSOPHY
    VISION
    MISSION

    OBJECTIVE(S)

    Department Organogram
       
     
    Staff Directory Result 33 record(s) found.
    1
    Name: LAWAL HARUNA
    Department: Mathematical Sciences
    Faculty: Science
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    2
    Name: YUSUF AUWALU BICHI
    Department: Mathematical Sciences
    Faculty: Science
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    3
    Name: SHEHU ABDUL'AZEEZ
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer II
    Specialization:
    Phone Extension:
    Phone No.: 2348036298236
    Email: ashehu@fudutsinma.edu.ng
     

    4
    Name: DR. (MRS) OBUNADIKE GEORGINA N
    Department: Mathematical Sciences
    Faculty: Science
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    5
    Name: PROF. FATOKUN JOHNSON OLADELE
    Department: Mathematical Sciences
    Faculty: Science
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    6
    Name: GOSHWE NENTAWE
    Department: Mathematical Sciences
    Faculty: Science
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    7
    Name: SAIFULLAHI MUHAMMAD
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer II
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    Phone Extension:
    Phone No.: 08038699436
    Email: smuhammad@fudutsinma.edu.ng
     

    8
    Name: CHINEDU PETER MATHEW
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer II
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    Phone No.: +2348066967407
    Email: cpeter@fudutsinma.edu.ng
     

    9
    Name: SAMBE TERKIMBIR
    Department: Mathematical Sciences
    Faculty: Science
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    10
    Name: AHMED JAMILU BASHIR
    Department: Mathematical Sciences
    Faculty: Science
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    11
    Name: DZER ROSEMARY MRUMUN
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Assistant Lecturer
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    Phone Extension:
    Phone No.: 08069299944
    Email: rdzer@fudutsinma.edu.ng
     

    12
    Name: OBINIYI AFOLAYAN AYODELE
    Department: Mathematical Sciences
    Faculty: Science
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    13
    Name: YUSUF AHMED OMEIZA
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer II
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    Phone No.: 07039057669
    Email: oyusuf@fudutsinma.edu.ng
     

    14
    Name: LAWAL SULEIMAN
    Department: Mathematical Sciences
    Faculty: Science
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    15
    Name: MUHAMMAD SANI
    Department: Mathematical Sciences
    Faculty: Science
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    16
    Name: JIYA MOHAMMED
    Department: Mathematical Sciences
    Faculty: Science
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    17
    Name: TYOKYAA KANSHIO RICHARD
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer II
    Specialization:
    Phone Extension:
    Phone No.: +2348169201942
    Email: rtyokyaa@fudutsinma.edu.ng
     

    18
    Name: ADEBIYI FAITH O.
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Assistant Lecturer
    Specialization:
    Phone Extension:
    Phone No.: +2348132420995
    Email: fadebiyi@fudutsinma.edu.ng
     

    19
    Name: OLASOJI BABATUNDE OLAOTAN
    Department: Mathematical Sciences
    Faculty: Science
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    20
    Name: BALOGUN FUNMILOLA
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer II
    Specialization:
    Phone Extension:
    Phone No.: +2348036041178
    Email: fbalogun@fudutsinma.edu.ng
     

    21
    Name: AJIBADE ABIODUN OLUSEGUN
    Department: Mathematical Sciences
    Faculty: Science
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    22
    Name: BAKARE KAREEM AYENI
    Department: Mathematical Sciences
    Faculty: Science
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    23
    Name: IBRAHIM ADEKU MUSA
    Department: Mathematical Sciences
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    24
    Name: BALAMI HOLY-HEAVY MSIRALI
    Department: Mathematical Sciences
    Faculty: Science
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    25
    Name: MOHARRAM ALI KHAN
    Department: Mathematical Sciences
    Faculty: Science
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    26
    Name: ADEBAYO ISAIAH
    Department: Mathematical Sciences
    Faculty: Science
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    27
    Name: ODUWALE ADEWALE OLADIPO
    Department: Mathematical Sciences
    Faculty: Science
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    28
    Name: BELLO YUSUF
    Department: Mathematical Sciences
    Faculty: Science
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    29
    Name: OLANREWAJU OYENIKE MARY
    Department: Mathematical Sciences
    Faculty: Science
    Designation: Lecturer I
    Specialization:
    Phone Extension:
    Phone No.: +2347037693881
    Email: oolanrewaju@fudutsinma.edu.ng
     

    30
    Name: AHMAD ABUBAKAR
    Department: Mathematical Sciences
    Faculty: Science
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    31
    Name: UMAR ILIYASU
    Department: Mathematical Sciences
    Faculty: Science
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    32
    Name: ORVEREM JOEL MVENDAGA
    Department: Mathematical Sciences
    Faculty: Science
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    33
    Name: DR. BAOKU ISMAIL G.
    Department: Mathematical Sciences
    Faculty: Science
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    33 record(s) found.

    B.Sc. Mathematics


    ACADEMIC CURRICULLUM
    100L First Semester
    S/n Course Code Course Title Credit Unit Category
    1. GST111 Communication in English I 2 Core
    2. GST121 Nigerian Peoples, Culture and Anti-Cultism/Social Vices 2 Core
    3. GST131 Introduction to Computer Studies 2 Core
    4. MTH111 ELEMENTARY MATHEMATICS 1 3 Core
    5. MTH121 Elementary Mathematics II 3 Core
    6. PHY111 General Physics I 2 Core
    7. PHY121 Experimental Physics I 1 Core
    8. CMP111 Introduction to Computer Science 2 Core
    9. CHM101 Introduction to General Chemistry 2 Core
    10. CHM161 First Year Practical Chemistry I 1 Core
             

    100L Second Semester
    S/n Course Code Course Title Credit Unit Category
    1. CHM162 First Year Practical Chemistry II 1 Core
    2. GST112 Communication in English II 2 Core
    3. GST122 Use Of Library, Study Skills & Information Communication Technology 2 Core
    4. GST132 Logic, Philosophy and Human Existence 2 Core
    5. MTH112 Elementary Mathematics III 3 Core
    6. MTH122 Introduction to Discrete Mathematics 3 Core
    7. STA112 Introductory Statistical Inference 2 Core
    8. CMP112 Introduction to Computer Programming 2 Core
    9. PHY112 General Physics II 2 Core
    10. PHY122 Experimental Physics II 1 Core
    11. CHM122 Introduction to Physical Chemistry 2 Core
             

    200L First Semester
    S/n Course Code Course Title Credit Unit Category
    1. CMP221 Computer Programming I 3 Core
    2. MTH211 Mathematical Methods 3 Core
    3. MTH221 Elementary Differential Equations I 3 Core
    4. MTH231 Sets, Logic and Algebra 2 Core
    5. MTH241 Linear Algebra I 2 Core
    6. MTH251 Real Analysis I 2 Core
    7. GST211 History and Philosophy of Science 2 Core
    8. GST221 Peace Studies and Conflict Resolution 2 Core
    9. STA211 Probability I 2 Elective
    10. CMP241 Computer Electronics 2 Elective
             


    200L Second Semester
    S/n Course Code Course Title Credit Unit Category
    1. CMP212 Computer Programming II 3 Core
    2. GST212 Introduction to Entrepreneurial Studies 2 Core
    3. MTH212 Introduction to Numerical Analysis 3 Core
    4. MTH222 Vectorial Mechanics 2 Core
    5. MTH232 Abstract Algebra I 2 Core
    6. MTH242 Linear Algebra II 2 Core
    7. MTH262 Introduction to Complex Analysis 2 Core
    8. GST232 Communication in Arabic 2 Core/Optional
    9. GST222 Communication in French 2 Core/Optional
    10. MTH252 Further Real Analysis 2 Elective
    11. STA212 Probability II 2 Elective
    12. CMP262 Introduction to File Processing 2 Elective
             

    300L First Semester
    S/n Course Code Course Title Credit Unit Category
    1. GST311 Introduction to Entrepreneurship Skills 2 Core
    2. MTH329 Lab Field Work for Mathematical Sciences II 1 Core
    3. MTH311 Metric Space Topology 2 Core
    4. MTH321 Elementary Diff. Equation II 3 Core
    5. MTH331 Complex Analysis I 2 Core
    6. MTH341 Vector and Tensor Analysis 3 Core
    7. MTH351 Numerical Analysis I 3 Core
    8. MTH361 Real Analysis II 2 Core
    9. MTH371 Abstract Algebra II 2 Core
    10. MTH381 Introduction to Mathematical Modeling 2 Elective
    11. MTH391 Discrete Mathematics 2 Elective
    12. STA321 Analysis of Variance I 2 Elective
    13. STA311 Operations Research 2 Elective
    14. MTH301 Analytical Dynamics I 2 Elective
             

    300L Second Semester
    S/n Course Code Course Title Credit Unit Category
    1. MTH392 SIWES 6 Core
             

    400L First Semester
    S/n Course Code Course Title Credit Unit Category
    1. MTH411 Theory of Ordinary Differential Equations 3 Core
    2. MTH421 Applied Functional Analysis I 3 Core
    3. MTH431 Lebesgue Measure and Integration 3 Core
    4. MTH441 Mathematical Methods II 3 Core
    5. MTH451 History of Mathematics 2 Core
    6. MTH401 Seminar 1 Core
    7. MTH491 Fluid Mechanics 3 Elective
    8. MTH461 Numerical Analysis II 3 Elective
    9. MTH471 Complex Analysis II 3 Elective
    10. MTH481 Analytical Dynamics II 3 Elective
             

    400L Second Semester
    S/n Course Code Course Title Credit Unit Category
    1. MTH412 Partial Differential Equations 3 Core
    2. MTH422 Applied Functional Analysis II 3 Core
    3. MTH432 General Topology 3 Core
    4. MTH492 Project 6 Core
    5. MTH472 Numerical analysis III 3 Elective
    6. MTH482 Quantum Mechanics 3 Elective
    7. MTH442 Abstract Algebra III 3 Elective
    8. MTH452 Field Theory 3 Elective
    9. MTH462 Complex Analysis III 3 Elective
             


    COURSE DESCRIPTION OR SYNOPSIS
    CHM101 Introduction to General Chemistry 2 Credit Unit
    Description: Atoms, molecules and chemical reactions; Chemical equations and stoichiometry; Atomic structure and periodicity; Modern electronic theory of atoms; Valence forces and chemical bonding; Inter molecular forces; Kinetic theory and gas laws; Basic chemical Ki

    CHM122 Introduction to Physical Chemistry 2 Credit Unit
    Description: Units and measurements in physical chemistry; States of matter and change of state; Gases and their properties; Chemical equilibria; Thermochemistry; Chemical kinetics; The scope of thermodynamics; The first and second law of thermodynamics; Enthalpy, ent

    CHM161 First Year Practical Chemistry I 1 Credit Unit
    Description: Theory and practice of volumetric/quantitative and inorganic qualitative analyses

    CHM162 First Year Practical Chemistry II 1 Credit Unit
    Description: Melting points and boiling points determination; Heats of solution and neutralization; Solubility and solubility curves; Organic purification methods; Reactions and qualitative analyses of organic functional groups

    CMP111 Introduction to Computer Science 2 Credit Unit
    Description: History of computers, functional components of computer, characteristics of a computer, problem solving, flow charts, Algorithms, computer programming, Statements, symbolic names, Arrays, subscripts, expressions and control statements. Introduction to BAS

    CMP112 Introduction to Computer Programming 2 Credit Unit
    Description: Types of Programming languages, Introduction to BASIC, Constants and Variables, Control Structures, Arrays, Functions and subroutines, Data Files and Introduction to Computer Graphics. Student should write, debug and execute programs using a chosen elemen

    CMP212 Computer Programming II 3 Credit Unit
    Description: Principle of good programming; structured programming concepts. Debugging and testing; string processing, internal searching and sorting, Data structures, Recursion. C++ programming language or any other similar language should be used in teaching the abo

    CMP221 Computer Programming I 3 Credit Unit
    Description: Introduction to problem solving methods and Algorithm development; designing coding, debugging and documenting using techniques of good programming language style, computer organization; programming language and programming Algorithm development. A widely

    CMP241 Computer Electronics 2 Credit Unit
    Description: Number systems Operations and codes, Elementary digital circuits; AND,OR,NAND,NOR gates. Simple computer circuits; Oscillators; Simple sequential circuits; registers, counters, multiplexers, decoders. Basic circuit theory; DC circuits, Kirchoff’s law; AC

    CMP262 Introduction to File Processing 2 Credit Unit
    Description: Introduction to Data management files; and job-control, language application; An over-view of I/O (Input/Output) system architecture; logical file organization, mapping logical organization onto physical storage; Back-up procedure, file recovery; Higher l

    GST111 Communication in English I 2 Credit Unit
    Description: Effective communication and writing in English Language skills, writing of essay answers, Comprehension, sentence construction, outlines and paragraphs, collection and organization of materials, punctuation.

    GST112 Communication in English II 2 Credit Unit
    Description: Logical presentation of papers, phonetics, instruction on lexis, art of public speaking and oral communication, figures of speech, precise, report writing.

    GST121 Nigerian Peoples, Culture and Anti-Cultism/Social Vices 2 Credit Unit
    Description: Nigerian history, culture and arts in pre-colonial times, Nigerian’s perception of his world, culture areas of Nigeria and their characterictics, evolution of Nigeria as a political unit, indigene/settler phenomenon, concepts of trade, economic self-relia

    GST122 Use Of Library, Study Skills & Information Communication Technology 2 Credit Unit
    Description: Brief history of libraries, library and education, University libraries and other types of libraries, study skills (reference services). Types of library materials, using library resources including e-learning, e-material, etc, understanding library catal

    GST131 Introduction to Computer Studies 2 Credit Unit
    Description: History and development of Computer Technology. The why and how of computers. Computer types: Analogue, Digital, and Hybrid, Central preparation, Equipments: Keypunch, starter etc. Data Transmission, Nature, speed and error detection. Data capture and val

    GST132 Logic, Philosophy and Human Existence 2 Credit Unit
    Description: A brief survey of the main branches of Philosophy symbolic Local Special symbols in symbolic logic-conjunction, negation, affirmation, disjunction, equivalent and conditional statements law of tort. The method of deduction using rules of inference and bi-

    GST211 History and Philosophy of Science 2 Credit Unit
    Description: Man- his origin and nature, man and his cosmic environment, scientific methodology, science and technology in the society and service of man, renewable and on-renewable resources – man and his energy resources, environmental effects of chemical plastics,

    GST212 Introduction to Entrepreneurial Studies 2 Credit Unit
    Description: Introduction to entrepreneurship and new venture creation, Enterpreneurship in theory and practice; Forms of business, Staffing, Marketing and new venture; determining capital requirements, Raising capital; Financial planning and management; starting a ne

    GST221 Peace Studies and Conflict Resolution 2 Credit Unit
    Description: Basic concepts in peace studies and conflict resolution, peace as vehicle of unity and development, conflict issues, types of conflict, e.g. ethnic/religious/political/economic conflicts, root causes of conflicts and violence in Africa, indigene/settler p

    GST222 Communication in French 2 Credit Unit
    Description: Introduction to French, French Alphabets and Sounds – Writing and Pronounciation, French Syllabus –Writing and Pronounciation, French Words – Writing and Pronunciation, Phrases, Simple Sentences and Pharagaraphs, Conjuction, dialogue Advance Study of Sent

    GST232 Communication in Arabic 2 Credit Unit
    Description:

    GST311 Introduction to Entrepreneurship Skills 2 Credit Unit
    Description: Some of the ventures to be focused upon include the following: 1. Soap/Detergent, tooth brushes and tooth paste making 2. Photography 3. Brick, Nails, screws making 4. Dyeing/textile blocks paste making 5. Rope making 6. Plumbing 7. Vulcanizing 8.

    MTH111 ELEMENTARY MATHEMATICS 1 3 Credit Unit
    Description: Elementary set theory, subset, union, intersection, complements, Venn diagrams. Real numbers; integers, rational and irrational numbers, mathematical induction, real sequences and series, theory of quadratic equations, binomial theorem. Complex numbers; a

    MTH112 Elementary Mathematics III 3 Credit Unit
    Description: Function of a real variable, graphs, limits and idea of continuity. The derivative as limit or rate of change. Techniques of differentiation. Extreme curve sketching. Integration as an inverse of differentiation. Methods of integration, Definite integrals

    MTH121 Elementary Mathematics II 3 Credit Unit
    Description: Geometric representation of vectors in 1-3 dimensions, components, direction cosines, addition, scalar, multiplication of vectors linear independence, scalar and vector products of two vectors. Differentiation and integration of vectors with respect to a

    MTH122 Introduction to Discrete Mathematics 3 Credit Unit
    Description: This course introduces the student to the basic definitions of Sets, Relations Boolean Algebra and Graph Theory. Methods of Proof. (Induction, Deduction and Contradiction). Some elementary extension to Matrices is considered as a basis for further courses

    MTH211 Mathematical Methods 3 Credit Unit
    Description: Real –valued functions of a real variable. Review of differentiation and integration and their applications. Mean value theorem. Taylor series. Real – valued functions of two or three variables. Partial derivatives, chain rule, extreme, languages multipli

    MTH212 Introduction to Numerical Analysis 3 Credit Unit
    Description: Solution of algebraic and transcendental equations. Curve fitting. Error analysis. Interpolation and approximation. Zeros or non – linear equations; to one variable system of linear equations. Numerical differentiation and integral equations. Initial valu

    MTH221 Elementary Differential Equations I 3 Credit Unit
    Description: First order ordinary differential equations. Existence and uniqueness. Second order ordinary differential equations with constant co-efficient. General theory of nth order linear equations Laplace transforms, solutions of initial value problems by lap lac

    MTH222 Vectorial Mechanics 2 Credit Unit
    Description: Vectors in Euclidean spaces, vector and triple products. Equations of lines and planes, vector equations. General kinematics, momentum, angular momentum, fundamental equations of motion. Energy and conservation laws. Dynamics of a particle-force in oscill

    MTH231 Sets, Logic and Algebra 2 Credit Unit
    Description: Introduction to the language and concepts of modern mathematics. Topics includes; Basic set theory; mappings, relations, equivalence and other relations, Cartesian products. Binary logic, methods of proof. Binary operations. Algebraic structures, semi gro

    MTH232 Abstract Algebra I 2 Credit Unit
    Description: Group: Definition, examples include permutation groups. Subgroups, cosets. Lagrange’s theorem and applications cyclic groups, Rings: definition, examples including Z, ZN.rings of polynomials and matrices. Integral domains, fields, polynomials rings, facto

    MTH241 Linear Algebra I 2 Credit Unit
    Description: Vector space over the real field. Subspaces, linear independence, basis and dimension. Linear transformations including linear operators, linear transformations and their representation by matrices—range, null space, rank. Singular and non-singular transf

    MTH242 Linear Algebra II 2 Credit Unit
    Description: Systems or linear equation, change of basis, equivalence and similarity. Eigenvalues and elqenvectors.minimum and characteristics of polynomials of a linear transformation (matrix).Cayley –Hamilton theorem.Bilinear and quadratic forms, orthogonal diagonal

    MTH251 Real Analysis I 2 Credit Unit
    Description: Bounds of real numbers, convergence of sequence of numbers. Monotone sequences, the theorem of nested intervals, Cauchy sequences, tests for convergence of series. Absolute and conditional convergence of series, and re – arrangements. Completeness of real

    MTH252 Further Real Analysis 2 Credit Unit
    Description: Integration-The Riemann Integral.Exponential and logarithmic functions.The trigonometric functions.The Gamma function.Vectors in Real Analysis.Vector functions-convergence and continuity. Vector derivatives.Directional derivatives.partial derivatives. Loc

    MTH262 Introduction to Complex Analysis 2 Credit Unit
    Description: Complex Numbers & functions.Complex Planes, complex mapping.Types of transformations.Calculus of Complex Variables.The Cauchy-Goursat Theorem.Liouville’s Theorem and the Maximum Principle.

    MTH301 Analytical Dynamics I 2 Credit Unit
    Description: Degrees of freedom.Homonymic constraints. Generalized co-ordinates, Lagrange’s generalized co-ordinates Lagrange, Lagrange equations for homonymic systems, face dependent on co-ordinates only, force obtainable from a potential. Impulsive force.

    MTH311 Metric Space Topology 2 Credit Unit
    Description: Sets matrices and examples. Open spheres (or balls).Open sets and neighborhoods. Closed sets.Interior, exterior, frontier, limit points and closure of a set.Dense subsets and separable spaces.Convergence in metric space.Homoeomorphism.Continuity and compa

    MTH321 Elementary Diff. Equation II 3 Credit Unit
    Description: Series solutions of second order linear equations. Bessel, Legendre and hyper geometric equations and functions. Gamma, Beta functions sturmlioville problems. Orthogonal polynomials and functions.Fourier-Bessel and Fourier-Legendre series.Fourier transfor

    MTH329 Lab Field Work for Mathematical Sciences II 1 Credit Unit
    Description: The students are to visit notable Computer & Mathematical Centres where applied Mathematics like Computing and Statistical Analysis is being demonstrated to give a clear picture of the classroom theory. The Students are expected to submit a report of the

    MTH331 Complex Analysis I 2 Credit Unit
    Description: Function of a complex variable. Limits and continuity of functions of a complex variable.Derivation of the Cauchy Riemann equations. Analytic functions. Bilinear transformations, conformal mapping. Contour integrals. Cauchy’s theorems and its main consequ

    MTH341 Vector and Tensor Analysis 3 Credit Unit
    Description: Vector algebra.Vector, dot and cross products.Equations of curves and surfaces.Vector differentiation and applications.Gradient, divergence and curl.Vector integrals, line, surface and volume integrals.Green’s Stoke’s and divergence theorems.Tensor produc

    MTH351 Numerical Analysis I 3 Credit Unit
    Description: Solution of linear difference equations.Implicit and explicit multistep methods for solving initial value problems.Analysis of convergence multistep methods.RungeKutta methods. Theorem about convergence of runge-kutta methods Numerical methods for solving

    MTH361 Real Analysis II 2 Credit Unit
    Description: Riemann integral of functions R R;continuousmonopositive functions. Functions of bounded variation.The Riemann stietjesintegral.pointwise and uniform convergence of sequences and series of functions R R. Effects on limits (sums) when the functions are co

    MTH371 Abstract Algebra II 2 Credit Unit
    Description: Normal sub- groups and Quotient groups.Homorphism, isomorphism theorems.cay ley’s theorems. Direct products.Groups of small order.Group acting on sets.Sylow theorems. Ideal and quotient rings, P.I.D and U.F.D’s Euclidean rings. Irreducibility, Field exten

    MTH381 Introduction to Mathematical Modeling 2 Credit Unit
    Description: Methodology of model building; identification, formulation and solution of problems, cause-effect diagrams.Equation types.Algebraic, ordinary differential, partial differential, difference, integral and functional equations.Application of mathematical mod

    MTH391 Discrete Mathematics 2 Credit Unit
    Description: Groups and subgroups; Group Axioms, permutation Group, Co-sets, graphs; Directed and Undirected graphs, sub graphs, cycles, connectivity, application (flow charts) and state transition graphs; lattices and Boolean Algebra, finite fields, minimum polynomia

    MTH392 SIWES 6 Credit Unit
    Description:

    MTH401 Seminar 1 Credit Unit
    Description:

    MTH411 Theory of Ordinary Differential Equations 3 Credit Unit
    Description: The general first order equation, Existence and uniqueness theorems.Singular points.Differentia inequalities. Autonomous systems-orbits, limits and invariants sets. Linearisation.Stability, liapunov theory.Green’s function.Periodic solution.Special topics

    MTH412 Partial Differential Equations 3 Credit Unit
    Description: First and second order Partial Differential Equations. Solutions of Heat, Wave, and Laplace equations by the method of characteristics, separation of variables, eigenfunctions expansions and Fourier series and transforms Sturm-Liouville problems orthogona

    MTH421 Applied Functional Analysis I 3 Credit Unit
    Description: Metric spaces and fixed points; metric spaces optimal economic growth problems, fixed points by successive approximations, applications of contraction mapping principle. Integration theory: fundamental result: the integration in S1, closure of S1and S2, c

    MTH422 Applied Functional Analysis II 3 Credit Unit
    Description: Separability and compactness. Algebraic structure of linear vector spaces, normed spaces and continuous operators, linear products spaces and Hilbert spaces. Minimization of quadratic functionals

    MTH431 Lebesgue Measure and Integration 3 Credit Unit
    Description: Lebesgue measure; measurable and non-measurable sets. Measurable functions. Lebesgue integral; integration of non-negative functions the general int5egral convergence theorem

    MTH432 General Topology 3 Credit Unit
    Description: Topological spaces, definition, open and closed sets, neighborhoods. Coarser, and finer topologies. Basis and sub- bases.Separatic axioms, compactness, local compactness, connectedness. Construction of new topological spaces from given ones; sub-spaces, q

    MTH441 Mathematical Methods II 3 Credit Unit
    Description: Calculus of variation: Lagrange’s functional and associated density. Necessary condition for a weak relative extremum.Hamilton’s principles.Lagrange’s equations and geodesic problems.The du Bois- Raymond equation and corner conditions.Variable end-points

    MTH442 Abstract Algebra III 3 Credit Unit
    Description: Minimal polynomial of an algebraic number.Eisentein’s irreducibility criterion.Splitting fields and normal extension.Primitive element theorem.Galois group of a polynomial.Field degrees and group orders.The Galois correspondence.The fundamental theorem of

    MTH451 History of Mathematics 2 Credit Unit
    Description: The origin of Mathematics historical relations between geometry and algebra.The origin and development of calculus and analysis.Euclidean and non Euclidean geometry. The development of algebra, groups

    MTH452 Field Theory 3 Credit Unit
    Description: Gradient, divergence and curl: further treatment and application of the differential definitions. The integral definition of gradient, divergence and curl: line, surface and volume integrals: green’s gauss` and stroke’s theorems. Curvilinear Co-ordinates

    MTH461 Numerical Analysis II 3 Credit Unit
    Description: The basic Gaussian Elimination Methods. Gaussian Elimination methods with partial pivoting.Algorithms for both basic G.E.M. and G.E.M. with partial pivoting. Inner products and Gram- Schmidt process. Matrix and Vector Norms. Error Analysis of Linear Syste

    MTH462 Complex Analysis III 3 Credit Unit
    Description: The algebra of complex numbers. Geometric representation of complex numbers and the spherical representation. Analytic functions, power series. The Exponential and logarithm function. Analytical function as mappings. Cauchy’s theorem and the cauchy Integr

    MTH471 Complex Analysis II 3 Credit Unit
    Description: Laurent expansions.Isolated singularities and residues.Residue theorem calculus of residue, and application to evaluation of integrals and to summation of series.Maximum modulus principle.Argument principle.Ruche’s theorem.The fundamental theorem of algeb

    MTH472 Numerical analysis III 3 Credit Unit
    Description: Numerical quadrature: Romberg, Gauss, Integrable singular integrands, infinite range, multiple integrands. Discrete and continuous Collocation Tau methods for solving Ode’s. Error analysis. Partial differential equations: finite difference methods. Stabil

    MTH481 Analytical Dynamics II 3 Credit Unit
    Description: Lagrange’s equations for non-homonymic systems. Lagrange multiplies. Variational principles; calculus of variation, Hamilton’s principle.Lagrange’s equations from Hamilton’s principles.Canonical transformations.Normal modes of vibrations.Hamilton-Jacobin

    MTH482 Quantum Mechanics 3 Credit Unit
    Description: Particle- wave duality. Quantum postulates. Schrödinger equation of motion. Potential steps and wells in 1- dim Heisenberg formulation. Classical limits of quantum mechanics. Computer brackets. Linear harmonic oscillator. Angular momentum. 3-dim square we

    MTH491 Fluid Mechanics 3 Credit Unit
    Description: Real and Ideal fluids.Differentiation following the motion of fluid particles.Equations of motion and continuity for incompressible invscid fluids. Velocity potentials and stoke’s stream functions. Bernoulli’s equation with application to flow along curve

    MTH492 Project 6 Credit Unit
    Description:

    PHY111 General Physics I 2 Credit Unit
    Description: Units and dimensions, scalars and vectors, linear and circular motion; velocity, acceleration. Laws of mechanics and gravitation, simple applications. Conservation of energy, momentum; work, power, simple harmonic motion, simple pendulum. Moment of inerti

    PHY112 General Physics II 2 Credit Unit
    Description: Concepts of heat, temperature; measurement of temperature, clinical thermometer. Heat capacity, specific heat, latent heat, calorimetry. Gas laws; kinetic theory of gases. Thermal energy, isothermal and adiabatic changes. Conduction, convection, radiation

    PHY121 Experimental Physics I 1 Credit Unit
    Description: This introductory course emphasises quantitative measurement, the treatment of measurement, errors and graphical analysis, reading and repeated readings, best value, mistakes, discrepancy, systematic errors, detecting systematic errors, use of the mean. R

    PHY122 Experimental Physics II 1 Credit Unit
    Description: A continuation of the treatment of experimental errors and analysis. Mean square error, standard deviation, sample and set standard errors, meanings and uses. Frequency distribution, histogram and frequency data curve, least square errors and curve – fitt

    STA112 Introductory Statistical Inference 2 Credit Unit
    Description: Statistical data: Their source, collection and preliminary analysis by table, graphs and simple statistics to include measures of location dispersion, skewness, kurtosis and correlation. Time series, demographic measures and index numbers. Inference: est

    STA211 Probability I 2 Credit Unit
    Description: Probability as a measure of uncertainty; sample points and events combination of events. Definitions and basic properties of probability joint and conditional probabilities. Combination analysis. Random variable, Bernoulli trials, Binomial, Geometric, poi

    STA212 Probability II 2 Credit Unit
    Description: Moment generating functions and its properties. Limit theorems in probability. Central limit theorem for independently and identical distributed random variables. Distribution of order statistics.Hyper geometric, multinomial, negative binomial, exponentia

    STA311 Operations Research 2 Credit Unit
    Description: The nature of operations research.Allocation problems, Techniques of operations research. Phases of operation research study. Classification of operation research models.Linear, Dynamic and integer programming.Decision theory. Inventory models, critical

    STA321 Analysis of Variance I 2 Credit Unit
    Description: Analysis of simple, double and multiple classifications of balanced data in crossed and nested arrangements. Analysis of two-way, three-way contingency tables for tests of homogeneity, independence and interactions. Analysis involving incomplete tables, m
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