VIKRAMA SIMHAPURI UNIVERSITY: NELLORE B.A./B.SC I YEAR : STATISTICS

(For Non – Mathematics Combination) Semester – I CBCS

Paper-I :ELEMENTARY MATHEMATICS

 

Course Outcomes:

After successful completion of this course, the student will be able to;

1. Have an idea about basic mathematical techniques which are necessary to analyze the Statistical techniques
2. Able to know the concepts of set theory and operations in sets .
3. Able to know the concept of matrices and its
4. Able to complete the adjoint and determinate of a square matrix , hence its
5. Capable of solving the simultaneous equations using matrix
6. Understands the concept of finite

COURSE SYLLABUS:

UNIT-I :

Types of matrices -Matrix addition and subtraction – Matrix multiplication-Transpose of a matrix, row matrix, column matrix, Symmetric and skew symmetric matrices.

UNIT-II:

Singular and Non-Singular Matrices, Determinant of a square matrix, Ad joint of a square matrix, Inverse of square matrix Up to 3 order only.

UNIT-III:

Definition of a Rank, Rank of a Matrix through determinant method up to 3 order only

Solution of Linear Equations.

• Algebraic Method
• Cramer’s Rule
• Matrix Inversion Method

UNIT – IV :

Set, Subset, Types of Sets, Operations onsets, Demorgan Laws – statements only.

UNIT-V:

Finite Differences – Forward Differences – Backward differences.

Newton’s forward interpolation formula – Newton’s backward interpolation formula

Note :1. Concentration on numerical problems Only.

2. Proofs of theorems and Derivations of expressions are omitted.

Text Books:

1. Differential Calculus – Santhi
2. Outlines of Matrices –

Reference Books:

1. Statistical methods – P.Gupta.
2. Fundamentals of Mathematical statistics – SC Gupta and K.Kapoor.
3. Quantitative Techniques1 –Sulthan Chand

Paper-1 Practicals:

1. Addition, Subtraction of
2. Multiplication of
3. Adjoint of a Matrix
4. Inverse of a Matrix
5. Rank of a Matrix
6. Linear equations
7. Union and Intersection on sets
8. Operation on sets
9. Newton’s forward interpolation formula
10. Newton’s backward interpolation formula