Applied Mathematics-II | 2nd Semester | G1 Batch | Real Marathon by Gaurav Sir.
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.. Application: Length of simple curves, Finding areas bounded by simple curves Volume of solids of revolution, centre of mean of plane areas. 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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