Federal University, Dutsin-ma

Katsina state, Nigeria

Courses: 2nd Year 1st Sem., B. Sc. (Ed) Mathematics

  1. GST211: History and Philosophy of Science

    (2 credit units)

    Man - his origin and nature, Man and his cosmic environment, Scientific methodology, Science and technology in the society and service of man, Renewable and non-renewable resources-man and his energy resources, Environmental effects of chemical plastics, Textiles, Wastes and other material, Chemical and radiochemical hazards Introduction to the various areas of science and technology, Elements of environmental studies.

  2. GST221 : Peace Studies and Conflict Resolution

    (2 credit units)

    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 phenomenon, peace – building, management of conflict and security, elements of peace studies and conflict resolution, developing a culture of peace, peace mediation and peace-keeping, alternative dispute resolution (ADR). Dialogue/arbitration in conflict resolutions, role of international organizations in conflict resolution, e.g. ECOWAS, African Union, United Nations, etc.

  3. EDU211: Curriculum and Instruction I

    (2 credit units)

    Fundamental concepts of curriculum development to include objectives, contents, learning opportunities and evaluation. Knowledge and skills on Curriculum Development.

  4. EDU221: Educational Psychology

    (2 credit units)

    Theories and conditions of learning and teaching, with emphasis on individual differences: Motivation; retention, transfer of learning etc.

  5. MTH241: Linear Algebra I

    (2 credit units)

    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 transformation and matrices.Algebra of matrices.

  6. MTH221: Elementary Differential Equations I

    (3 credit units)

    First order ordinary differential equations. Existence and uniqueness. Second order ordinary differential equations with constant co-efficient. General theory of nth order linear equations lap lace transforms, solutions of initial value problems by lap lace transform method. Simple treatment of partial differential equation in two independent variables. Application of O.D and P.D. E to physical, life and social Sciences

  7. MTH231: Sets, Logic and Algebra

    (2 credit units)

    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 groups, rings, integral domains, fields. Number systems; properties of integers, rationals, real and complex numbers .

  8. MTH211: Mathematical Methods I

    (3 credit units)

    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 multiplies. Increments, differentials and linear approximations.Evaluation of line integrals.Multiple integrals.

  9. STA211: Probability I

    (2 credit units)

    Probability as a measure of uncertainty; sample points and events combination of events. Definitions and basic properties of probability joint and conditional probabilities.Combinationanalysis.Random variable, Bernoulli trials, Binomial, Geometric, poison, unifor4m and normal distribution, Bivariate, Marginal and conditional distributions.Concepts of linear regression, correlation and association of attributes.

  10. CMP221 : Computer Programming I

    (3 credit units)

    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 above.

  11. PHY211: Mechanics

    (2 credit units)

    (A more advanced treatment of the topics serves as a bridge between 100 level Mechanics and 300 level topics in Mechanics). Rigid, bodies, Rigid dynamics; moment of inertia, angular momentum. System of particles, moving coordinate system, non-inertial reference frames. Foucault’s pendulum. Gravitation – gravitational fields and potential, Kepler’s laws, Newton’s laws of Application of orbital motion. Reduced mass, impulse, collision in one and 3 - dimensions, system of varying mass, centre of mass reference frames, bending of beams.

  12. PHY231: Thermal Physics

    (2 credit units)

    The foundations of classical thermodynamics including the Zeroth law and definition of temperature; the first law, work done and heat, Carnot’s cycle and the second law; entropy and irreversibility. Thermodynamic potentials and the Maxwell’s relations and applications. Qualitative discussion of phase transition; third law of thermodynamics, ideal and real gases. Elementary kinetic theory of gases including Boltzman’s coin, Maxwell – Boltzman law; distribution of velocities, simple applications of distribution law.

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