**Syllabus for combined Ist & IInd Sem**

**(Common for all branches)**

**EN010 101**** ****ENGINEERING MATHEMATICS – I**

Teaching Scheme Credits: 5

2 hour lecture and 1 hour tutorial per week

Objectives

*To impart mathematical background for studying engineering subjects.*

* *

**MODULE I (18 hours) – MATRIX**

Elementary transformation – echelon form – rank using elementary transformation by reducing in to echelon form – solution of linear homogeneous and non – homogeneous equations using elementary transformation. Linear dependence and independence of vectors – eigen values and eigen vectors – properties of eigen values and eigen vectors(proof not expected) – Linear transformation – Orthogonal transformation – Diagonalisation – Reduction of quadratic form into sum of squares using orthogonal transformation – Rank, index, signature of quadratic form – nature of quadratic form (more…)