## 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