Other university, Computer Engineering , Engineering Mathematics – I Syllabus

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Unit - 1 Differential Calculus

1.1 Rolle’s Theorem .

1.2 Mean Value Theorems

1.3 Taylors Series and Maclaurins Series

1.4 Indeterminate forms

1.5 L Hospitals Rule Evaluation of Limits and Applications.

Unit - 2 Fourier Series

2.1 Definition

2.2 Dirichlet’s Conditions

2.3 Full range Fourier series

2.4 Half range Fourier series

2.5 Harmonic Analysis

2.6 Parseval’s identity and Applications to problems in Engineering

Unit - 3 Partial Differentiation

3.1 Introduction to functions of several variables

3.2 Partial Derivatives

3.3 Homogeneous Function Equation

3.4 Partial derivative of Composite Function Total Derivative Change of Independent variables

Unit - 4 Applications Of Partial Differentiation

4.1 Jacobian and its applications

4.2 Errors Approximations

4.3 Maxima and Minima of functions of two variables

4.4 Lagrange’s Method of undetermined multipliers.

Unit - 5 Linear Algebra-Matrices, System Of Linear Equations

5.1 Rank of a Matrix

5.2 System of Linear Equations

5.3 Linear Dependence and Independence

5.4 Linear and Orthogonal Transformations

5.5 Application to problems in Engineering

Unit - 6 Linear Algebra-Eigen Values And Eigen Vectors, Diagonaliztion

6.1 Eigen Values and Eigen Vectors

6.2 Caylley Hamilton theorem

6.3 Reduction of Quadratic forms to Canonical form by linear and orthogonal transformation

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Other Subjects of first-year
English
Chemistry
Engineering physics
Engineering graphics
Engineering mechanics
Engineering mathematics-ii
Basic electrical engineering
Basic electronics engineering
Systems in mechanical engineering
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