Statistical Mathematics | MCA 1st Semester Textbook (MCA 102) | RGPV & MP Universities | Matrices, Calculus, Probability, Statistics & Discrete Math | MCQs, HOTS & Solved Examples

The All-in-One Statistical Mathematics Textbook for RGPV MCA Students

Authored by Dr. D.C. Agarwal and Dr. Pradeep K. Joshi and published by Shree Sai Prakashan, this is the complete textbook for MCA First Semester students (MCA 102) at Rajiv Gandhi Proudyogiki Vishwavidyalaya (RGPV), Bhopal, and other Madhya Pradesh universities. With 460 pages covering 5 core subject areas, it is the most comprehensive single textbook for MCA 102 available on Amazon.

5 Subject Areas in 1 Book — Complete MCA 102 Coverage:

Unit I: Matrices and Eigen Value Problems — Rank of Matrix, Solution of System of Linear Equations, Reduced Echelon Form, Eigenvalues and Eigenvectors, Properties, Cayley-Hamilton Theorem, Inverse of a Matrix.

Unit II: Calculus — Functions of a Single Variable, Limit, Continuity, Differentiability, Mean Value Theorems, L'Hospital's Rule, Indeterminate Forms, Maxima and Minima, Product and Chain Rule, Beta and Gamma Functions, Functions of Multiple Variables, Partial Derivatives.

Unit III: Testing of Hypothesis — Sampling Distributions, Tests Based on Small and Large Samples, Normal, Student's t, Chi-Square and F-Distributions, Testing of Mean, Variance and Proportion, Tests for Independence of Attributes, Goodness of Fit.

Unit IV: Probability and Probability Distributions — Axioms of Probability, Conditional Probability, Addition and Multiplication Laws, Probability Mass Function, Probability Density Functions, Binomial, Poisson, and Normal Distributions.

Unit V: Discrete Mathematics — Sets, Power Sets, Counting Functions, Basic Proof Techniques (Induction, Proof by Contradiction), Propositional Logic, Data Structures (Stacks, Queues, Graphs, Arrays, Hash Tables, Trees), Graph Properties, Graph Coloring.

Exam-Ready Pedagogy:

The book contains Solved Examples, Multiple Choice Questions (MCQs), Higher Order Thinking Skills (HOTS) Questions, and Objective Questions at the end of each unit. RGPV MCA 102 exam questions are frequently drawn from the examples and practice sets in this book.

Who Should Buy This Book:

MCA 1st Semester students at RGPV, Bhopal and other MP universities. Also relevant for MCA students at other AICTE-affiliated universities where the first semester covers Matrices, Statistics, Probability and Discrete Math. Computer Science postgraduate students who need a comprehensive single-volume reference.

Publisher: Shree Sai Prakashan, Meerut. Paperback, 460 pages.