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Dr Babasaheb Ambedkar Technological University, Maharashtra
Computer Engineering
Engineering Mathematics- I
Dr Babasaheb Ambedkar Technological University, Maharashtra, Computer Engineering Semester 1, Engineering Mathematics- I Syllabus
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Unit - 1 Linear Algebra- Matrices
Unit 1
Linear Algebra Matrices
1.1 Inverse of a matrix by GaussJordan method Rank of a matrix
1.2 Normal form of a matrix
1.3 Eigen values and Eigen vectors
1.4 Properties of Eigen values and Eigen vectors without proofs
1.5 Cayley Hamilton’s theorem without proof and its applications.
Unit - 2 Partial Differentiation
Unit – 2
Partial Differentiation
2.1 a Partial Derivative of first order
2.1 b Partial Derivative of higher order
2.2. Homogeneous function Euler’s theorem for functions containing two and three variables with proofs
2.3. Total Derivatives
2.4. Change of variable
Unit - 3 Applications of Partial differentiation
Unit 3
Applications of Partial differentiation
3.1 Jacobians – properties
3.2 Taylor’s and Maclaurin’s theorems without proofs for functions of two variables
3.3 Maxima and minima of functions of two variables
3.4 Lagrange’s method of undetermined multipliers.
Unit - 4 Reduction Formulae and Curve Tracing
UNIT4
REDUCTION FORMULAE AND CURVE TRACING
4.1 Reduction formula
Unit - 5 Multiple Integrals
Unit 5
Multiple Integrals
5.1 Double integration in Cartesian and polar coordinates
5.2 Evaluation of double integrals by changing the order of integration and changing to polar form
5.3 Triple integral
5.4 Applications of multiple integrals to find area as double integral
5.5 Volume as triple integral and surface area
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Other Subjects of Semester-1
Engineering physics
Communication skills
Engineering graphics
Energy and environment engineering
Basic civil and mechanical engineering
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