Federal University, Dutsin-ma

Katsina state, Nigeria

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

  1. 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.

  2. 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

  3. 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 .

  4. 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.

  5. MTH251: Real Analysis I

    (2 credit units)

    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 reals and incompleteness of rationales. Continuity and differentiability of functions R R. Rolle’s and means value theorems for differentiable functions, Taylor series.

  6. CMP211: Data Structures and Algorithms

    (2 credit units)

    Fundamental data structures: Primitive types; records; the idea of type abstraction; pointers and references; linked structures; implementation strategies for stacks, queues, and hash tables; implementation strategies for graphs and trees; strategies for choosing the right data structure. Fundamental issues in language design: general principles of language design, design goals, typing regimes, data structures models, control structure models, abstraction mechanisms. Review of object-oriented design.

  7. 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.

  8. 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.

  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. CMP241: Computer Electronics

    (2 credit units)

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