Mathematics Final Year Topic: Primal–Dual Certificates and Sensitivity in Small Linear Programmes
This Mathematics final year project uses exact examples to connect feasible solutions, bounds and changes in model parameters.
Mathematics
final year project topics.
Find a Mathematics final year project you can explain, investigate and make your own. Compare the proposed objectives, research approach and resources before choosing your topic.
Mathematics project topics and briefs
50 topicsMathematics Final Year Topic: Integrality Gaps in Bounded Zero–One Knapsack Examples
This Mathematics final year project compares an integer optimum with the upper bound from a continuous relaxation.
Mathematics Final Year Topic: Optimal Assignment Certificates from a Hungarian-Method Construction
This Mathematics final year project examines the relation between an assignment, reduced costs and a dual bound in small exact problems.
Mathematics Final Year Topic: Linear-Programming Solutions of Finite Two-Person Zero-Sum Games
This Mathematics final year project compares algebraic and optimisation representations of mixed-strategy equilibria in small games.
Mathematics Final Year Topic: Sensitivity of Eigenvalues in Symmetric and Non-Normal Matrix Examples
This Mathematics final year project compares how controlled small matrix changes affect spectra in two clearly distinguished matrix classes.
Mathematics Final Year Topic: Residual and Forward Error in the Solution of Ill-Conditioned Linear Systems
This Mathematics final year project distinguishes satisfying a linear equation approximately from recovering its solution accurately.
Mathematics Final Year Topic: Normal Equations and QR Factorisation in a Nearly Rank-Deficient Least-Squares Problem
This Mathematics final year project compares two least-squares solution approaches as a documented design matrix approaches rank deficiency.
Mathematics Final Year Topic: Singular-Value Truncation and Matrix Approximation Error in Different Norms
This Mathematics final year project relates a truncated singular-value representation to explicitly chosen approximation criteria.
Mathematics Final Year Topic: Polynomial Factors in Powers of Jordan Blocks and Their Effect on Matrix Iteration
This Mathematics final year project examines how non-diagonal structure changes powers of matrices with known eigenvalues.
Mathematics Final Year Topic: Positive Definiteness and Semidefiniteness in Parameterised Quadratic Forms
This Mathematics final year project classifies a bounded family of real quadratic forms using stated matrix criteria.
Mathematics Final Year Topic: Explicit Norm-Equivalence Constants in Finite-Dimensional Vector Spaces
This Mathematics final year project compares vector norms through proved inequalities and examples approaching their bounds.
Mathematics Final Year Topic: Closed and Bounded Sets in Finite- and Infinite-Dimensional Normed Spaces
This Mathematics final year project uses explicit examples to distinguish boundedness from compactness under different space assumptions.
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