Archive for the ‘S1S2’ Category


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…)


UNIVERSITY OF KERALA

B.TECH DEGREE COURSE- 2003 SCHEME

Scheme of Studies And Syllabi for Combined I And II Semesters (Common for All Branches)

Course No Name of subject Weekly load, hours Max sessional  marks Exam Dur Hrs Exam max marks Credits
L T D/P
03.101 Engineering Mathematics 2 1 0 50 3 100 6
03.102 Engineering Physics 2 1 0 50 3 100 6
03.103 Engineering Chemistry 2 1 0 50 3 100 6
03.104 Engineering Graphics 1 0 2 50 3 100 6
03.105 Engineering Mechanics 2 1 0 50 3 100 6
03.106 Basic Civil Engineering 2 1 0 50 3 100 6
03.107 Basic Mechanical Engineering 2 1 0 50 3 100 6
03.108 Basic Electrical Engineering 2 1 0 50 3 100 6
03.109 Basic Electronics Engineering 2 1 0 50 3 100 6
03.110 Engineering Workshops 0 0 2 50 3 100 4
Total 17 8 4 500 1000 58

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CE/ME/EC/CS/SE/IT/EB/EI 101 MATHEMATICS I

MODULE I

Continuity and differentiability of functions of one variable : Rolle’s theorem, Mean value theorem, Cauchy’s theorem, L’Hospital’s rule for the evaluation of limits of indeterminate forms.

Radius of curvature of plane curves, evolutes.

Theory of algebraic equations: relations between roots and coefficients of an equation, transformations of equations, Descarte’s rule of signs.

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ENGINEERING MATHEMATICS – I
CMELRPTA 101

Module 1 Matrix
Elementary transformation – finding inverse and rank using elementary transformation – solution of linear equations using elementary transformations – eigenvalues and eigenvectors – application of Cayley Hamiltion theorem – Diagonalization – Reduction of quadratic form into sum of squares using orthogonal transformation – nature of quadratic form.

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