HKUST

MAED5851 Scientific Computation, 2017 Fall

MATH4992 Capstone Project in Applied Mathematics, 2017 Fall

SCIE3110 Teaching Science Using Innovative Teaching Tools, 2016 Fall

MATH4999 Capstone Project, 2016 Fall

MATH3312 Numerical Analysis, 2016 Fall

Computer Arithmetic
Root Finding
Interpolation
Numerical Differentiation and Integration
Numerical ODE
Numerical Linear Algebra
Approximation Theory

MATH4336 Introduction to Mathematics of Image Processing, 2016 Spring

Introduction to digital image processing
Digital image fundamentals
Intensity transformations
Fourier transform and its applications in image processing
Image restoration
Image segmentation
Variational methods for image processing

MATH4999 Capstone Project, 2015 Fall

MATH3312 Numerical Analysis, 2015 Fall

Computer Arithmetic
Root Finding
Interpolation
Numerical Differentiation and Integration
Numerical ODE
Numerical Linear Algebra
Approximation Theory

MATH6380F Numerical Methods for Moving Interface Problems, 2015 Spring

Level set method and related numerical approaches
Applications

MATH2011 Introduction to Multivariable Calculus, 2014 Fall

Vectors and Vector-Valued Functions
Functions of Several Variables
Multiple Integration
Vector Calculus

MATH4981A Introduction to Scientific Computation, 2014 Fall

Dynamical system
Computational Fluid Dynamics

MATH 4981H Independent Study: Numerical Analysis of Ordinary Differential Equations, 2014 Summer

Textbook: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations - U.M. Ascher and L.R. Petzold
Topics:
One step methods
Linear multistep methods
Shooting method
Finite difference methods
Convergence
Accuracy
Consistency
0-stability and absolute stability

MATH4336 Introduction to Mathematics of Image Processing, 2014 Spring

Introduction to digital image processing
Digital image fundamentals
Intensity transformations
Fourier transform and its applications in image processing
Image restoration
Image segmentation
Variational methods for image processing

MATH 4981H Independent Study: Numerical Analysis of Ordinary Differential Equations, 2013 Winter

Textbook: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations - U.M. Ascher and L.R. Petzold
Topics:
One step methods
Linear multistep methods
Shooting method
Finite difference methods
Convergence
Accuracy
Consistency
0-stability and absolute stability

MATH2011 Introduction to Multivariable Calculus, 2013 Fall

Vectors and Vector-Valued Functions
Functions of Several Variables
Multiple Integration
Vector Calculus

MATH4981A Introduction to Scientific Computation, 2013 Spring

Dynamical system
Computational Fluid Dynamics

MATH4336 Introduction to Mathematics of Image Processing, 2013 Spring

Introduction to digital image processing
Digital image fundamentals
Intensity transformations
Fourier transform and its applications in image processing
Image restoration
Image segmentation
Variational methods for image processing

MATH4981I Introduction to Finite Element Method and Finite Volume Method, 2012 Fall

Finite Element Method for Linear Elliptic Partial Differential Equations
Finite Volume Method for Conservation Laws

MATH4981A Introduction to Scientific Computation, 2012 Fall

Dynamical system
Computational Fluid Dynamics

MATH1018 Concise Calculus, 2012 Fall

Functions
Limits and Continuity
Differentiation
Applications of Derivatives
Integration
Techniques of Integration
Infinite Sequences and Series
Polar Coordinates and Conics

MATH 4981H Independent Study: Numerical Analysis of Ordinary Differential Equations, 2012 Summer

Textbook: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations - U.M. Ascher and L.R. Petzold
Topics:
One step methods
Linear multistep methods
Shooting method
Finite difference methods
Convergence
Accuracy
Consistency
0-stability and absolute stability

MATH4981D Computational Linear Algebra, 2012 Spring

Numerical Linear Algebra - L.N. Trefethen and D. Bau, III

MATH4336 Introduction to Mathematics of Image Processing, 2012 Spring

Introduction to digital image processing
Digital image fundamentals
Intensity transformations
Fourier transform and its applications in image processing
Image restoration
Image segmentation
Variational methods for image processing

MATH4981A Introduction to Scientific Computation, 2011 Fall

Dynamical system
Computational Fluid Dynamics

MATH1018 (Previous Code MATH021) Concise Calculus, 2011 Fall

Functions
Limits and Continuity
Differentiation
Applications of Derivatives
Integration
Techniques of Integration
Infinite Sequences and Series
Polar Coordinates and Conics

MATH398Q Introduction to Scientific Computation, 2011 Summer

Dynamical system
Computational Fluid Dynamics

MATH021 Concise Calculus, 2011 Spring

Functions
Limits and Continuity
Differentiation
Applications of Derivatives
Integration
Techniques of Integration
Infinite Sequences and Series
Polar Coordinates and Conics

MATH398P Independent Study: Numerical Methods for Moving Interface Problems, 2011 Spring

Front tracking method
Level set method
Phase field method
Recent developments in the research field

MATH021 Concise Calculus, 2010 Fall

Functions
Limits and Continuity
Differentiation
Applications of Derivatives
Integration
Techniques of Integration
Infinite Sequences and Series
Polar Coordinates and Conics

MATH398O Independent Study: Applied Numerical Methods for Engineers, 2010 Summer

Root finding
Interpolation
Least squares data fitting
Numerical differentiation and integration
Solution of ODEs
Solving linear systems

MATH230 Introduction to Numerical Methods, 2010 Spring

Root finding
Interpolation
Least squares data fitting
Numerical differentiation and integration
Solution of ODEs
Solving linear systems

MATH021 Concise Calculus, 2009 Fall

Functions
Limits and Continuity
Differentiation
Applications of Derivatives
Integration
Techniques of Integration
Infinite Sequences and Series
Polar Coordinates and Conics

National Center for Theoretical Sciences, Taiwan

Level Set Method and Its Applications, 2012 Summer


Chinese Academy of Sciences

Partial Differential Equation Based Image Processing, 2009 Summer


UC Irvine

MATH 3A Introduction to Linear Algebra, 2009 Spring

Vector space
Linear transformation
Orthogonality

MATH 3A Introduction to Linear Algebra, 2008 Winter

Vector space
Linear transformation
Orthogonality

MATH 107 Numerical Differential Equations, 2007 Spring

Initial value problems for ODE
Boundary value problems for ODE
Boundary value problems for PDE
Initial value problems for PDE

MATH 105B Numerical Analysis, 2007 Winter

Iterative methods for linear systems
Iterative methods for eigenvalue problems
Approximation theory

MATH 105A Numerical Analysis, 2006 Fall

Root-Finding
Interpolation
Numerical differentiation
Numerical integration
Direct methods for linear systems

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