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Engineering Mathematics - I for SPPU 19 Course (FE - I - Common - 107001)

SKU: 9789389180206
Dr. H. R. Bhapkar, Dr. M. K. Nikam, Dr. Vanita R. Daddi, A. R. Tambe, Dr. S. N. Kadlag, Shital A. Patil ISBN 9789389180206
10% Discount
₹ 350.00
₹ 315.00
+ -

Unit I : Differential Calculus
Rolle’s Theorem, Mean Value Theorems, Taylor's Series and Maclaurin's Series, Expansion of functions using standard expansions, Indeterminate Forms, L' Hospital's Rule, Evaluation of Limits and Applications. (Chapters - 1, 2, 3)
Unit II : Fourier Series
Definition, Dirichlet’s conditions, Full range Fourier series, Half range Fourier series, Harmonic analysis, Parseval’s identity and Applications to problems in Engineering. (Chapter - 4)
Unit III : Partial Differentiation
Introduction to functions of several variables, Partial Derivatives, Euler's Theorem on Homogeneous functions, Partial derivative of Composite Function, Total Derivative, Change of Independent variables. (Chapter - 5)
Unit IV : Applications of Partial Differentiation
Jacobian and its applications, Errors and Approximations, Maxima and Minima of functions of two variables, Lagrange's method of undetermined multipliers. (Chapter - 6)
Unit V : Linear Algebra-Matrices, System of Linear Equations
Rank of a Matrix, System of Linear Equations, Linear Dependence and Independence, Linear and Orthogonal Transformations, Application to problems in Engineering. (Chapters - 7,8)
Unit VI : Linear Algebra-Eigen Values and Eigen Vectors, Diagonalization
Eigen Values and Eigen Vectors, Cayley Hamilton theorem, Diagonaliztion of a matrix, Reduction of Quadratic forms to Canonical form by Linear and Orthogonal transformations. (Chapter - 9)

 

Unit I : Differential Calculus
Rolle’s Theorem, Mean Value Theorems, Taylor's Series and Maclaurin's Series, Expansion of functions using standard expansions, Indeterminate Forms, L' Hospital's Rule, Evaluation of Limits and Applications. (Chapters - 1, 2, 3)
Unit II : Fourier Series
Definition, Dirichlet’s conditions, Full range Fourier series, Half range Fourier series, Harmonic analysis, Parseval’s identity and Applications to problems in Engineering. (Chapter - 4)
Unit III : Partial Differentiation
Introduction to functions of several variables, Partial Derivatives, Euler's Theorem on Homogeneous functions, Partial derivative of Composite Function, Total Derivative, Change of Independent variables. (Chapter - 5)
Unit IV : Applications of Partial Differentiation
Jacobian and its applications, Errors and Approximations, Maxima and Minima of functions of two variables, Lagrange's method of undetermined multipliers. (Chapter - 6)
Unit V : Linear Algebra-Matrices, System of Linear Equations
Rank of a Matrix, System of Linear Equations, Linear Dependence and Independence, Linear and Orthogonal Transformations, Application to problems in Engineering. (Chapters - 7,8)
Unit VI : Linear Algebra-Eigen Values and Eigen Vectors, Diagonalization
Eigen Values and Eigen Vectors, Cayley Hamilton theorem, Diagonaliztion of a matrix, Reduction of Quadratic forms to Canonical form by Linear and Orthogonal transformations. (Chapter - 9)

 

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