Teaching
Fall 2012 – Spring 2015
Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands
2DE11: Numerical mathematics for Master's Degree program in Electrical Engineering.
- Introduction: Errors, efficiency, conditioning, floating point arithmetic.
- Interpolation and differentiation: Polynomial interpolation, numerical differentiation, Richardson extrapolation.
- Roots of equations: Problem formulation, iterative methods, successive substitution, interval methods, Newton's method.
- Systems of equations: Linear systems, conditioning, LU-factorization, Cholesky.
- Numerical methods for initial value problems: Ordinary differential equations, discretization, convergence of one-step methods, multistep methods, predictor-corrector techniques, stiffness.
- Numerical methods for boundary value problems: Discretization.
2WBB0: Calculus variant B for Bachelor's Degree program in Industrial Design, Software Science and Electrical Engineering.
- Numeracy and Functions
- Limits
- Differentiation
- Transcendental functions
- Integration
- Differential Equations
- Vector calculus in the plane and space
2DD40: Mathematics 1 for Bachelor's Degree program in Industrial Engineering.
- Set theory and Logics
- Linear Algebra
- Sequences and series
- Probability theory
Summer 2010 – Summer 2012
College of Science and Technology, Phuentsholing, Bhutan
MAT101: Engineering Mathematics 1 for first year Bachelor's Degree program in Engineering.
- Sequences and series
- Differential and integral calculus
- Matrices and linear systems
MAT102: Engineering Mathematics 2 for second year Bachelor's Degree program in Engineering.
- Linear Algebra
- 3-Dimensional Geometry
- Line, surface and volume integrals
- Ordinary differential equations
- Vector calculus
Summer 2008 – Spring 2010
Paro College of Education, Paro, Bhutan
Mathematics for Bachelor's Degree program in Education.
- Linear Algebra
- Analysis
- Calculus
- Pedagogy
- Probability theory
Spring 2004 – Spring 2006
Drukgyel Higher Secondary School, Paro, Bhutan
Mathematics and Physics for pre-university (10+2) science programs, Bhutan Higher Secondary Education Certificate.