Spring 2024. M 472 -- Numerical Analysis II. Matrix decomposition techniques. Iterative Methods for Linear Systems. Conjugate Gradient Method. Gradient Descent Method. Elements of Deep Learning.
Fall 2023. M 211 -- Calculus I. Introduction to differential calculus.
Fall 2023. M 471 -- Numerical Analysis I. Machine numbers. Polynomial interpolation. Numerical differentiation and integration. Euler' s method. Runge-Kutta method.
Spring 2023. M/ 540 -- Partial Differential Equations I. Introduction to PDE's. Elliptic, parabolic and hyperbolic PDE's. Energy methods.
Spring 2023. M/S 344 -- Introduction to Differential Equations II. Systems of ordinary differential equations, nonlinear systems and stability.
Fall 2022. M/S 343 -- Introduction to Differential Equations I. Basic methods for solving ordinary differential equations.
Spring 2022. M 371 -- Elementary Computational Methods. Numerical methods for linear algebra. Polynomial interpolation. Numerical integration.
Numerical methods for ordinary differential equations.
Spring 2022. M/S 344 -- Introduction to Differential Equations II. Systems of ordinary differential equations, nonlinear systems and stability.
Fall 2021. M 211 -- Calculus I. Introduction to differential calculus (two sections taught).
Spring 2021. M/S 344 -- Introduction to Differential Equations II. Systems of ordinary differential equations, nonlinear systems and stability.
City University of Hong Kong (Hong Kong SAR of China):
Spring 2019. MA1201 -- Calculus and Basic Linear Algebra II. Integration, complex numbers, vectors.
Spring 2019. MA8005 -- Advanced Partial Differential Equations I. Sobolev spaces and elliptic PDEs.
Fall 2018. MA8006 -- Functional Analysis and Applications. Banach spaces, Hilbert spaces, Projection theorem, Banach fixed point theorem, Baire's theorem, Hahn-Banach theorem and weak convergence.
Fall 2018. MA0102 -- Basic Engineering Mathematics II. Linear algebra, ordinary differential equations, Laplace transform and Fourier series.
Spring 2018. MA0101 -- Basic Engineering Mathematics I. Vector calculus, differentiation and integration techniques.
Spring 2018. MA3515 -- Optimization. Linear programming and simplex algorithm.
Spring 2018. MA1005 -- Arts and Mathematics. Basic mathematical concepts and techniques that artists have used such as symmetry, conics and polyhedra, perspective, and projective geometry.
Fall 2017. MA8006 -- Functional Analysis and Applications.
Fall 2017. MA0102 -- Basic Engineering Mathematics II.
Spring 2017. MA0101 -- Basic Engineering Mathematics I.
Fall 2016. MA2503 -- Linear Algebra. Matrix calculus and finite dimensional spaces.