Savitribai Phule Pune University, Maharashtra, Computer Engineering Semester 1, Engineering Mathematics I (2019 Pattern) Syllabus

Engineering Mathematics I (2019 Pattern) Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| 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 Semester-1
Engineering physics (2019 pattern)
Engineering chemistry (2019 pattern)
Engineering mechanics (2019 pattern)
Basic electrical engineering (2019 pattern)
Basic electronics engineering (2019 pattern)
Programming and problem solving (2019 pattern)
Systems in mechanical engineering (2019 pattern)
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