Applied Mathematics

We have great pleasure in presenting this text book on Applied Mathematics to the students of F.Y.B.C.A. (Semester I). This book is written according to the new revised syllabus of University to be implemented from June 2019.

The book contains two parts (A) Mathematics and (B) Statistics. The book starts with Part (A), first chapter which covers Sets, Number Sets, Elementary Inequalities and Functions. Second chapter covers Propositional Logic. The third chapter covers Relations and Functions. The chapter four deal with Permutations and Combinations. The last chapter of Part (A) covers Principle of Inclusion and Exclusion.

Second Part of Book is (B) Statistics, starts with Frequency distribution, Second and third chapters covers Measures of central Tendency and Measures of Dispersion. Chapter four and five deal with Moments, Skewness and Kurtosis. Chapter six covers Correlation and Linear Regression. Chapter seven covers Theory of Sampling, chapter eight covers Probability Theory. Chapter nine deal with Standard Distributions, chapter ten covers Introduction to Testing of Hypothesis.

Mathematics

1. Sets

2. Propositional Logic

3. Relations and Functions

4. Permutations and Combinations

5. Principle of Inclusion-Exclusion

Statistics

1. Frequency Distribution

2. Measures of Central Tendency

3. Measures of Dispersion

4. Moments

5. Skewness and Kurtosis

6. Correlation and Regression

7. Sampling Theory

8. Probability

9. Standard Distributions

10. Introduction to Hypothesis Testing