Engineering Mathematics-1 Previous Years Solved Papers

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Papers, Previous year, questions papers

   Engineering Mathematics-1 Solved Papers

SYLLABUS(2019)

Engineering Mathematics-1

Calculus :

1. Improper integrals ( Beta and Gamma Functions ) and their properties; 

2. Applications of definite integrals to evaluate surface area and volumes of revolutions.

Sequences and Series :

1. Convergence of sequence and series; 

2. Tests for convergence; 

3. Power series, 

4. Taylor's series, 

5. Series for exponential, 

6. Trigonometric and Logarithm Functions.

Fourier Series :

1. Periodic functions, 

2. Fourier Series, 

3. Euler's formula, 

4. Change of intervals, 

5. Half Range Sine and Cosine series, 

6. Parseval's Theorem.

Multivariable  Calculus ( Differentiation ) :

1. Limit, Continuity and Partial derivatives, 

2. Directional derivatives, 

3. Total derivatives, 

4. Tangent plane and normal line, 

5. Maxima, Minima and Saddle points, 

6. Method of Lagrange Multipliers, 

7. Gradient, 

8. Curl and Divergence.

Multivariable Calculus ( Integration ) :

 Multiple Integration :

1.  Double integrals (Cartesian), 

2. Change of order of integration in double integrals, 

3. Change of variables (Cartesian to polar), 

Applications :

1. Area and Volumes, 

2. Center of mass and Gravity (Constant and variable densities), 

3. Triple integrals (Cartesian), 

4. Simple applications involving cubes, 

5. Sphere and Rectangular parallelepipeds, 

6. Scalar Line integrals, 

7. Vector line integrals, 

8. Scalar Surface Integrals, 

9. Vector Surface Integrals, 

10. Theorems of Green, Gauss and Stokes. 


Download Links

Unit-1. calculus DOWNLOAD

Unit-2. Sequences and Series DOWNLOAD

Unit-3. Fourier Series DOWNLOAD

Unit-4. Multivariable Calculus (Differentiation) DOWNLOAD

Unit-5. Multivariable Calculus (Integration) DOWNLOAD 






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