TEW Multivariate Calculus and Linear Algebra (2018)- Speakers and Syllabus

The Teacher’s Enrichment Workshop is meant for mathematics teachers in Engineering and Science colleges in Jabalpur. We will cover certain aspects of multivariate calculus, and linear algebra that would be relevant to the syllabus of Engineering as well as PG education. Each topic will have 7-8-lectures and upto 2 tutorial sessions. Since this workshop is meant for teachers, we will not take usual class-room approach. The lectures will be supplemented by many instructive examples. There will be active tutorial sessions in the afternoon.

 

Proposed Speakers and topics assigned:

 

Speaker

Affiliation

Topic

Number of lectures

Prof. Satya Deo

HRI , Allahabad.

Linear Algebra

4

Prof. A. Kumar

Deptt. of Maths and Computer Sc., R.D. University, Jabalpur.

Linear Algebra

2

Prof. P.V. Jain

Dept. of Maths and Computer Sc., R.D. University, Jabalpur.

Multivariate Calculus

2

Dr. S.P. Tripathi

Dept. of Maths, Kirorimal College, University of Delhi, Delhi.

Multivariate Calculus

6

Dr. J.K. Maitra

Dept. of Maths and Computer Sc., R.D. University, Jabalpur.

Linear Algebra

1

 

Details of the Syllabus:

Multivariate Calculus - continuity, partial derivatives, differentiability, maxima-minima, inverse and implicit function theorems. Reference: Mathematical Analysis by Tom Apostol.

Linear Algebra - Linear transformations, inner product spaces, eigenvalues and eigenvectors, generalised Eigen spaces, Jordan canonical forms. Reference: Linear Algebra by S. Kumaresan.

 

Timetable (Daily Schedule):

10 am – 11.15 am

Tea

Break

11.45 am – 1 pm

Lunch Break

2.30 pm - 3.45 pm

Tea

Break

4 pm – 5 pm

Registration/

Inauguration

 

Linear Algebra

 

Multivariate Calculus

 

Linear Algebra

Multivariate Calculus

 

Linear Algebra

 

Multivariate Calculus

 

Tutorial 1

Multivariate Calculus

 

Linear Algebra

 

Multivariate Calculus

 

Tutorial 2

Linear Algebra

 

Multivariate Calculus

 

Tutorial 3

 

Tutorial 4

Multivariate Calculus

 

Linear Algebra

 

Tutorial 5

 

Tutorial 6

Linear Algebra

 

Multivariate Calculus

 

Tutorial 7

 

Tutorial 8