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;
- Have an idea about basic mathematical techniques which are necessary to analyze the Statistical techniques
- Able to know the concepts of set theory and operations in sets .
- Able to know the concept of matrices and its
- Able to complete the adjoint and determinate of a square matrix , hence its
- Capable of solving the simultaneous equations using matrix
- 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.
- Proofs of theorems and Derivations of expressions are omitted.
Text Books:
- Differential Calculus – Santhi
- Outlines of Matrices –
Reference Books:
- Statistical methods – P.Gupta.
- Fundamentals of Mathematical statistics – SC Gupta and K.Kapoor.
- Quantitative Techniques1 –Sulthan Chand
Paper-1 Practicals:
- Addition, Subtraction of
- Multiplication of
- Adjoint of a Matrix
- Inverse of a Matrix
- Rank of a Matrix
- Linear equations
- Union and Intersection on sets
- Operation on sets
- Newton’s forward interpolation formula
- Newton’s backward interpolation formula