#### Instructors

**Narendra M Dixit** and **Mohit Kumar Jolly**

Email: narendra@iisc.ac.in & mkjolly@iisc.ac.in

##### Teaching Assistant

**Divakar Badal** Email: divakarbadal@iisc.ac.in

Department: BioSystems Science and Engineering

Semester: Jan - May

Course timing: 17:00 - 18:30 (IST)

Course venue: Microsoft Teams

#### Announcements

First lecture is on 2nd March, 2021

#### 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

Assignments (3-4 through the semester): 15%, Quizzes (3-4 through the semester): 20%, Midterm Exam: 15%, Final Exam: 50%

#### 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

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