#21 Polytechnic 2nd Semester Applied Math-II (Integration by partial fraction)|All Branch #astechnic

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SYLLABUS :-
1. Integral Calculus - I

Methods of Indefinite Integration
1.1 Integration by substitution.
1.2 Integration by rational function.
1.3 Integration by partial fraction.
1.4 Integration by parts.
1.5 Integration of special function

2. Integral Calculus - II

2.1 Meaning and properties of definite integrals, Evaluation of definite integrals.
2.2 Application : Length of simple curves, Finding areas bounded by simple
curves Volume of solids of revolution, centre of mean of plane areas.
2.3 Simposns 1/3rd and Simposns3/8th rule and Trapezoidal Rule : their application
in simple cases. Numerical solutions of algebraic equations; Bisections
method, Regula-Falsi method, Newton-Raphson’s method(without proof),
Numerical solutions of simultaneous equations; Gauss elimination
method(without proof)

3. Co-ordinate Geometry (2 Dimension)

3.1 Circle
Equation of circle in standard form. Centre - Radius form, Diameter form,
Two intercept form.

4. Co-ordinate Geometry (3 Dimension)

4.1 Straight lines and planes in space
Distance between two points in space, direction cosine and direction ratios,
Finding equation of a straight line (without proof)

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