Yanlai Chen, PhD
Associate Professor
Mathematics
Contact
508-999-8438
508-910-6917
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Liberal Arts 394A
Education
| 2002 | University of Science and Technology of China | B.S. |
| 2007 | University of Minnesota Twin Cities | M.S. |
| 2007 | University of Minnesota Twin Cities | Ph.D. |
Teaching
- Numerical algorithms
- Probability
- Calculus, Differential equation
- Optimization
Teaching
Programs
- Biomedical Engineering and Biotechnology MS, PhD
- Data Science BS, BS/MS
- Master's in Data Science MS
- Engineering and Applied Science PhD
- Mathematics BA, BS
Teaching
Courses
A calculus-based introduction to statistics. This course covers probability and combinatorial problems, discrete and continuous random variables and various distributions including the binomial, Poisson, hypergeometric normal, gamma and chi-square. Moment generating functions, transformation and sampling distributions are studied.
Orthogonality and least square problems. Other topics include applications of eigenvalue, quadratic forms, Numerical Linear Algebra.
Theory and computer-oriented practice in obtaining numerical solutions of various problems. Topics include stability and conditioning, nonlinear equations, systems of linear equations, interpolation and approximation theory.
A special course to meet the needs of students for material not encountered in other courses. Topics dealt with require the approval of the departmental chairperson.
Research
Research interests
- Numerical Analysis, Scientific Computing, Computational Partial Differential Equations
- Dimension reduction, Model order reduction, Reduced order modeling
- Uncertainty quantification, Fractional-order partial differential equations
- Data mining, Machine Learning, Image Processing, Neural Networks
- High performance computing