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| Publisher | Upkar Prakashan All Mathematics books by Upkar Prakashan |
| ISBN | 9788174821744 |
| Author: | Anil Kumar Garg |
| Number of Pages | 1014 |
| Available | Available in all digital devices |
This book has been written for the help of all those students who wish to seek admission through entrance examination to various M.C.A. Institutes likes J.N.U., Pune; D.U., V.H.U., Roorkee, UPMCAT, M.P. Combined, H.C.U., BITS (Ranchi) etc. The purpose of this book is to make the students aware of what they are expected to know and what type of questions they have to come across at the M.C.A. entrance examinations. In this book, I have discussed complete theory with suitable illustrations in the beginning of each chapter which is followed by objective and subjective problems. Solutions of these problems have been provided at the end of the chapter.
Previous Year’s Solved Paper
ALGEBRA
1. Sets
2. Relation and Function
3. Number Theory
4. Surds
5. Progressions
6. Exponential and Logarithmic Series
7. Permutations and Combinations
8. Binomial Theorem
9. Theory of Equations
10. Miscellaneous
11. Inequalities
12. Recurrence Relation
13. Group
14. Ring and Field
LINEAR ALGEBRA
1. Matrices and Determinants
2. Linear Algebra
TRIGONOMETRY
CALCULUS
Section (I) : Differential Calculus
1. Function
2. Limit, Continuity and Differentiability
3. Rolle’s Theorem, Mean Value Theorem, Taylor’s Theorem
4. Tangents and Normals
5. Maxima and Minima
6. Curvature
7. Asymptotes
8. Singular Points
9. Curve Tracing
10. Partial Differentiation
Miscellaneous Exercise
Section (II) : Convergence Series
11. Convergence Series
Section (III) : Integral Calculus
12. Indefinite Integrals
13. Definite Integrals
14. Rectification, Quadrature, Volume
and Surfaces
15. Multiple Integration
Miscellaneous Exercise
DIFFERENTIAL EQUATIONS
GEOMETRY
Section (I) : Analytical Plane
Geometry
1. Fundamental Concepts of 2D
2. The Straight Line
3. Pair of Straight Lines
4. The Circle
5. The Parabola
6. The Ellipse
7. The Hyperbola
8. Polar Equations
Miscellaneous Exercise
Section (II) : Analytical Solid
Geometry
9. Fundamental Concepts of 3D
10. The Plane
11. The Straight Line
12. The Sphere
13. The Cone
14. The Cylinder
Miscellaneous Exercise
MECHANICS
Section (I) :
Vector Algebra
STATISTICS AND PROBABILITY
1. Measures of Dispersion
2. Skewness and Kurtosis
3. Curve Fitting and Method of Least Square
4. Correlation and Regression
5. Probability
6. Random Variables and Distribution Functions
7. Mathematical Expectations and Generating Functions
8. Binomial, Poisson and Normal Distributions
NUMERICAL ANALYSIS
LINEAR PROGRAMMING
