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.