Brief description :
This Teachers’ Enrichment Workshop is especially meant for mathematics teachers of arts and science colleges in and around Chennai. Foundational concepts of linear algebra, abstract algebra, and multivariate calculus will be reviewed and applied. The workshop will be an intensive one and only those who are willing
to work hard and actively participate are encouraged to apply.
Speakers :
| Speaker | Affiliation | Topic(s) | Number of lecture hours | Number of tutorial hours |
| S Kesavan | IITM | Multivariate Calculus | 6 | 4 |
| Vijay Kodiyalam | IMSc | Abstract Algebra | 6 | 4 |
| K N Raghavan | IMSc | Linear algebra | 6 | 4 |
Detailed syllabus
- Multivariate Calculus by S. Kesavan
Syllabus: Continuity, partial differentiation, maxima-minima, Lagrange multipliers, multiple integrals, applications.
Reference book: Mathematical Analysis by Tom. M. Apostol. - Abstract Algebra by Vijay Kodiyalam
Syllabus: Fundamental theorem of finitely generated abelian groups, isomorphism theorems, Burnside theorem, Sylow theorems.
Reference book: A first course in Algebra by John B. Fraleigh. - Linear Algebra by K. N. Raghavan
Syllabus: Linear transformations, inner product spaces, Riesz representation theorem, eigenvalues and eigenvectors.
Reference book: Linear Algebra—A geometric approach by S. Kumaresan.
Timetable
| Time | 0945–1115 | 1130 to 1300 | 1400 to 1500 | 1515 to 1615 | ||||
| Mon | SK L1 | KNR L1 | L | SK T1 | KNR T1 | S | ||
| Tue | SK L2 | T | VK L1 | U | SK T2 | T | VK T1 | N |
| Wed | SK L3 | E | KNR L2 | N | SK T3 | E | KNR T2 | A |
| Thu | SK L4 | A | VK L2 | C | SK T4 | A | VK T2 | C |
| Fri | KNR L3 | VK L3 | H | KNR T3 | VK T3 | K | ||
| Sat | KNR L4 | VK L4 | KNR T4 | VK T4 |
- SK = S. Kesavan
- KNR = K. N. Raghavan
- VK = V. Kodiyalam
- Ln = Lecture number n
- Tn = Tutorial number n