Short description

MATH 499 Graduation Project is a 6-ECTS elective, which is counted towards the mathematics core elective credit requirement. The goal of the course is to engage the student in original thinking and independent work towards the creation of a capstone thesis under the supervision of an experienced faculty.

The timeline for the MATH 499:

• Spring Semester Week 1: assessment of the student’s preparation by supervisor.
• Spring Semester Week -4: composition of the thesis committee (choice of second reader).
• Spring Semester Week -2: public defense.
• Spring Semester Week -1: submission of revised thesis.

The grade for the course, decided by majority in the thesis committee (supervisor, second reader and course coordinator) is Pass/Fail.

Remarks:

• Students can withdraw at any time or can be withdrawn by their supervisor in case of inadequate preparation or work.

Completed projects over the past years

• 2020–now
• 2016–2019

Project descriptions for the AY 2023-2024

1. Topics in Analysis and PDEs (Durvudkhan Suragan)
2. Evolutionary differential equations (Amin Esfahani)
3. Finite-time passification criterion for externally disturbed uncertain fractional-order impulsive systems (FOISs) with time-delayed responses (Ardak Kashkynbayev)
4. Method of heat polynomials for solving inverse Stefan type problems (Samat Kassabek)
5. Method of heat polynomials for solving inverse two-dimensional Stefan problems (Samat Kassabek)
6. Solution of Stefan type problems using Deep Learning (Samat Kassabek)
7. Time Series Forecasting Methods for Socio-Economic Indicators: A Case Study of Kazakhstan (Kerem Ugurlu)
8. Machine Learning Techniques Applied to Robust Optimal Control Problems (Kerem Ugurlu)
9. Optimal Control Problems with AVaR (Kerem Ugurlu)
10. Statistical Method for Embedding-based Machine Translation (Kerem Ugurlu)
    
     

Project descriptions for the AY 2022-2023

1. Topics in Analysis and PDEs (Durvudkhan Suragan)
2. Quaternion and Octonion Algebra, and its applications (Michael Aristidou)

Project descriptions for the AY 2020-2021

1. Partial Differential Equations in Material Science. (Daniel Oliveira Da Silva)
2. Extending the transition probability of one-particle TASEP on Z with inhomogeneous rates to Z². (Eunghyun Lee)
3. Transformation Rules for Elastic Scattering Coefficients (Abdul Wahab)
4. Reconstruction of Elastic Scattering Coefficients from Multi-static Response Measurements in 3D (Abdul Wahab)
5. A Lower Bound for Double Base Expansions (Francesco Sica)

Project descriptions from the previous years

• AY 2019-2020

1. Semantics- and Syntax-related subvectors in the Skip-gram Embeddings (Zhenisbek Assylbekov and Rustem Takhanov)
2. A Lower Bound for Double Base Expansions (Francesco Sica)
3. Problems in Analysis (Mark Lawrence)
4. Topics in Analysis and PDEs (Durvudkhan Suragan)
5. NOTES ON ALGEBRAIC PROPERTIES OF ROGERS SEMILATTICES (Manat Mustafa)
6. Simulations and Applications of Risk Measures (Kerem Ugurlu)

• AY 2018-2019 (accessible only inside NU network)

1. Low rank approximation of matrices for generating pmi (Zhenisbek Assylbekov and Thomas Mach)
2. Hirota equation and the wigner transform (Alejandro J. Castro Castilla)
3. Well-posedness of nlse and mkdv equations  (Alejandro J. Castro Castilla)
4. Hirota equation with dissipative and pumping terms (Alejandro J. Castro Castilla)
5. A lower bound for double base expansions (Francesco Sica)
6. De factorisatione numerorum (Francesco Sica)
7. Exactly solvable multi-species stochastic particle models(Eunghyun Lee)
8. Analytic solutions of partial differential equations (Daniel Oliveira Da Silva)
9. Spectral geometry of partial differential equations and applications (Durvudkhan Suragan)
10. Approximations of periodic solutions to problems in micro-electro-mechanical systems (Piotr Skrzypacz)
11. Discontinuous galerkin method for nonlinear diffusion-convection problems (Piotr Skrzypacz)
12. Solving 1d transmission problems by finite elements (Piotr Skrzypacz)
13. The robust finite element discretizations for dead-core problems (Piotr Skrzypacz)
14. Differential equations in micro-electrico-mechanical systems  (Piotr Skrzypacz)
15. Asymptotic behavior of epidemic models (Ardak Kashkynbayev)
16. Frobenius singularities of algebraic sets of matrices (Zhibek Kadyrsizova)