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
- 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…)