Punyashlok Ahilyadevi Holkar Solapur University, Maharashtra, Computer Engineering Semester 2, Engineering Mathematics II Syllabus

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Unit - 1 ODE of First order and Degree and Application

Unit 1

ODE of First order and Degree and Application

1.1 Order degree and general solution of differential equations non homogeneous differential equations

1.2 Exact differential equations non exact reducible to exact linear differential equations non linear reducible to linear

1.3 Applications to orthogonal trajectories electrical and mechanical engineering projectile motion and Newton’s law of cooling

Unit 1

ODE of First order and Degree and Application

1.1 Order degree and general solution of differential equations non homogeneous differential equations

1.2 Exact differential equations non exact reducible to exact linear differential equations non linear reducible to linear

1.3 Applications to orthogonal trajectories electrical and mechanical engineering projectile motion and Newton’s law of cooling

Unit - 2 Infinite Series

Unit 2

Infinite series

2.1 Infinite sequences infinite series types of series test of convergence

2.2 Absolute and conditional convergence

2.3 Cauchy test comparison test and De Alembert’s test

Unit 2

Infinite series

2.1 Infinite sequences infinite series types of series test of convergence

2.2 Absolute and conditional convergence

2.3 Cauchy test comparison test and De Alembert’s test

Unit - 3 Complex Variable (Differentiation)

Unit3

Complex Variable Differentiation

3.1 Statement of DeMoivre’s Theorem without proof application of DeMoivre’s theorem –roots of algebraic equations

3.2 Circular and Hyperbolic functions

3.3 Differentiation Cauchy Riemann EquationsWithout Proof Analytic Functions Elementary Analytic FunctionsExponential Trigonometric and Logarithmic function

Unit3

Complex Variable Differentiation

3.1 Statement of DeMoivre’s Theorem without proof application of DeMoivre’s theorem –roots of algebraic equations

3.2 Circular and Hyperbolic functions

3.3 Differentiation Cauchy Riemann EquationsWithout Proof Analytic Functions Elementary Analytic FunctionsExponential Trigonometric and Logarithmic function

Unit - 5 Curve Tracing

Unit 5

Curve Tracing

5.1 Tracing of Cartesian curves

5.2 Tracing of polar curves

5.3 Tracing of parametric curves

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Other Subjects of Semester-2
Engineering physics
Engineering chemistry
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