Deenbandhu Chhotu Ram University Of Science And Technology, Haryana, Computer Engineering Semester 1, MATHEMATICS-I Syllabus

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Unit - 1 Infinite series

1.1 Convergence and divergence

1.2 Comparison D Alemberts ratio test

1.3 Integral test

1.4 Raabe’s Logrithmic

1.5 Cauchy root test

1.6 Alternating series

1.7 Absolute and conditional convergence

1.8 Applications of Differentiation Taylors and Maclaurins series

1.9 Asymptotes Curvature Asymptotes

Unit - 2 Partial Differentiation & its Applications

2.1 Functions of two or more variables

2.2 Partial derivatives

2.3 Total differential and differentiability

2.4 Derivatives of composite and implicit functions

2.5 Jacobians

2.6 Higher order partial derivatives

2.7 Homogeneous functions Eulers theorem

2.8 Taylors series for functions of two variables without proof

2.9 Maximaminima of function of two variables

2.10 Lagranges method of undetermined multipliers Differentiation under integral sign

Unit - 3 Applications of Single & Multiple Integration

3.1 Applications of single integration to find volume of solids and surface area of solids of revolution

3.2 Double integral change of order of Integration

3.3 Double integral in polar coordinates

3.4 Applications of double integral to find area enclosed by plane curves and volume of solids of revolution

3.5 Triple integral volume of solids

3.6 Change of variables

3.7 Beta and gamma functions and relationship between them

Unit - 4 Vector Calculus

4.1 Differentiation of vectors

4.2 Scalar and vector point functions Gradient of a scalar field and directional derivative

4.3 Divergence and curl of a vector field and their physical interpretations

4.4 Integration of vectors line integral surface integral volume integral

4.5 Stokes and Gauss theorems without proof and their simple applications

Download CSE Sem 1 syllabus pdf
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Other Subjects of Semester-1
Communicative english
Engineering physics - i
Manufacturing processes
Engineering graphics and drawing
Principles of electrical engineering
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