Applied Mathematics 1 by Dr. Ram pal and Dr. KK. Prasad book for polytechnic. Download Applied mathematics book for Polytechnic full pdf. applied mathematics for polytechnic pdf Download Applied Mathematics 1 for Polytechnic by Dr. Ram Pal and Dr. K. K. Prasad in pdf for free, Dr. Ram Pal Applied Mathematics for Polytechnic in PDF download. applied mathematics 2

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Applied Mathematics 1 by Ram Pal

Applied Mathematics 1 by Dr. Ram Pal

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Applied Mathematics 1 by Ram pal and K. K. Prasad book for polytechnic. Download Applied mathematics book for Polytechnic full pdf. applied mathematics for polytechnic pdf Download Applied Mathematics 1 for Polytechnic by Dr. Ram Pal and Dr. K. K. Prasad in pdf for free, Dr. Ram Pal Applied Mathematics for Polytechnic in PDF download. applied mathematics 2 for polytechnic pdf

1. Algebra

Arithmetic Progression (A.P.) – its nth term, sum to n terms. Geometric progression (G.P.) its nth term sum to n terms and infinite geometric series.
Partial Functions
Binomial theorem for positive integral index (without proof), binomial theorem for any index, expansions.

2. Trigonometry

Sum and difference formulas of trigonometric ratios of angles and their application (without proof). Formula from product to sum, difference and vice-versa. Ratio of multiple angles, submultiple angles (like 2A, 3A, A/2).
In a triangle sine formulas, cosine formulas, napier’s analogy, solution of triangle.
Simple problems on height and distance.
Plotting of curves y=f(x), f(x) being algebraic function (maximum upto third degree) or trigonometric functions (Sine, Cosine, Tangent).

3. Coordinate Geometry

Equation of straight line in various standard forms. Interaction of two straight lines and angle between them. Concurrent lines, perpendicular distance formula.
General equation of a circle and its characteristics. Equation of a circle given center and radius, three point form and diametristical form.
Definition of a conic section, standard equation of a parabola equation of parabola given its focus and directrix. Given the equation of parabola finding its focus axis, vertex, directrix and lactus section.
Ellipse and hyperbola (standard equation, without derivation) determining the equation of ellipse and hyperbola given the directrix, focus and eccentricity. Given the equation of the ellipse and hyperbola finding the focii, directrixes, axes, lactus rectum, vertex and eccentricity.

4. Vector algebra

Concept of vector, position vector of a point. Addition and subtraction of vectors.
Multiplication of a vector by a scalar product and vector product of two vectors. Application to problems on work done and moment (torque).

5. Determinant and Matrix

Definitions evaluation of a determinant of order two and three. Minor and cofactors. Properties of determinants. Solving simultaneous equation by Cramer’s rule.
Concept of a matrix, definitions, Transpose of a matrix, Symmetric and skew symmetric matrix, Diagonal matrix, unit matrix, addition and multiplication of matrices, adjoint and inverse of a matrix, solving simultaneous equation by Matrix methods.

About the Author

Dr. Ram Pal has more than 30 years of teaching experience in the field of Mathematics. He has worked at Government Inter College Kanaildhar Tehri, Garhwal, UP for more than 6 years as Lecturer in Mathematics. He has contributed to many research papers at National and International Conferences. He is an author of Applied Mathematics -l and Applied Mathematics -ll