CCMAS Course Search
Browse BRIDGE's courses under the National Universities Commission's Core Curriculum Minimum Academic Standards (CCMAS) — Nigeria's unified benchmark curriculum for every accredited program. Search by course title, code, faculty or programme to see full descriptions, learning outlines and credit-hour loads.
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Programme: M.Sc. Mathematics ×
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of 27 courses
MAT 806
3
Representations of groups by linear transformations; group algebras; character theory and modular representations.
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Representations of groups by linear transformations; group algebras; character theory and modular representations; Representation theory of algebraic groups; representation of finite groups; representation of compact and locally compact groups; representation of Lie groups; Unitary representation theory
SCI 802
2
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Programme Core Courses
MAT 812
3
Basic existence theorems: Equations with L2 kernels: Fredholm Theory; Nonlinear equations; Schauder fixed point theorem.
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Basic existence theorems: Equations with L2 kernels: Fredholm Theory; Nonlinear equations; Schauder fixed point theorem; Dual integral and series equations; Wiener-Hope equations and Technique; Singular Integral equations; Applications
MAT 814
3
Mathematical Modelling.
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Mathematical Modelling; The Art of Transforming Real Life Situation into Mathematical statements; Examples will be drawn from Areas such as Biology; Business; Deformable Media; Industry; and other dynamical system; Case studies
MAT 809
3
Lie groups and their Lie algebras; subgroups.
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Lie groups and their Lie algebras; subgroups; Matrix groups: One-parameter groups; exponential map; Campbell-Hausdorff formula; Lie algebra of a matrix group; integration on matrix groups; Abstract Lie groups
MAT 807
3
Algebraic integers.
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Algebraic integers; Completions; the different and discriminant; Cyclotomic fields; Parallelotopes; Class-Number; Ideles and Adeles; Elementary properties of Zeta-functions; L-functions
MAT 805
3
Basic examples of linear partial differential equations and their fundamental solutions.
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Basic examples of linear partial differential equations and their fundamental solutions; Existence and regularity of solutions (Local or Global) of the Cauchy problems; boundary value problems and mixed boundary value problems; The fundamental solutions of their partial differential equations
MAT 815
3
Background of the axiomatic approach to Nul et al.
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Background of the axiomatic approach to Nul et al; Axioms of continuum and Basic Concepts; Constitutive Relations; Equations of Motion and other Equations of Balance; The place of the Classical Theories
MAT 819
3
Schrodinger equations; Stone's Theorem and its applications.
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Schrodinger equations; Stone's Theorem and its applications; Unitary transformations: Heisenberg representation: Measurement: Quantum Theory of Scattering; Angular Momentum; Motion in an external field; Base and Fermi Statistics: Perturbation Theory