Instructor

Prof. Narendra M Dixit

Email: narendra@iisc.ac.in

Teaching Assistant
No teaching assistant for this course Email: Not applicable

Department: BioSystems Science and Engineering

Semester: Jan - May

Course timing: To be Decided

Course venue: To be Decided

Announcements

No announcements

Brief description of the course

The course offers exposure to basic mathematical and statistical principles and techniques of importance to bioengineers.

The topics to be covered include: linear algebraic equations; eigenvalues and eigenvectors; nonlinear algebraic equations; fixed-point iteration and optimization methods; linear and nonlinear least squares; first and second order ordinary differential equations; Euler, RK4, and predictor-corrector methods; discrete and continuous random variables; Markov processes; Gillespie algorithm; Monte Carlo methods; hypothesis testing; parametric and non-parametric statistical tests.

Prerequisites

Undergraduate engineering mathematics.

Grading policy

To be Updated

Course outcomes

Facility with basic mathematical and statistical techniques of relevance to bioengineers; facility with associated numerical methods; exposure to the use of mathematical methods in biological systems.

Assignments

To be Updated

Resources

  1. Gilbert Strang, Differential equations and linear algebra, Wellesley-Cambridge,2015
  2. Michael Heath, Scientific computing: an introductory survey, McGraw Hill,2005
  3. Steven Strogatz, Nonlinear dynamics and chaos, Westview, 2015
  4. Sheldon Ross, Introduction to probability models, Academic, 2014
  5. Sheldon Ross, Introductory statistics, Academic, 2010