Business Mathematics & Statistics

PART I – MATHEMATICS

• Introduction to Projects
• Project Management
• Indices
• LogarithmsCycle
• Banker's Discount
• Simple Interest
• Compound Interest
• Arithmetic, Geometric and Harmonic Progressions
• Annuities

PART II – STATISTICS

• Measures of Averages
• Measures of DispersionCorrelation
• Regression
• Curve Fitting
• Time Series
• Index Number

• Conics – Parabola
• Ellipse
• Hyperbola
• Rectangular Hyperbola
• Polar Equations
• Rectangular Cartesian Co-ordinates
• Plane
• The Straight Line
• The Sphere
• Cone, Cylinder and Central Quadrics

PART – I STATICS

• Introduction
• Forces Acting at a Point
• Parallel Forces and Moments
• Friction
• Centre of Gravity
• Equilibrium of Strings
• Stability of Equilibrium
• Virtual Work

PART – II DYNAMICS

• Kinematics of a Point
• Kinetics – Newton’s Laws of Motion
• Work, Power and Energy
• Simple Harmonic Motion
• Motion in a Resisting Medium
• Plane Motion – Projectiles
• Impulse – Impulsive Forces
• Circular Motion
• Coplanar Motion – Central Orbits
• Moment of Inertia
• Motion of a Rigid Body – Rotation about a Fixed Axis
• Past University Question Papers

• Ratio and Proportion
• Percentage
• Profit and Loss, Discount
• Simple Interest & Compound Interest
• Solutions of Simultaneous Equations
• Time and Work
• Time and Distance
• Mensuration
• Polygons
• Stocks & Shares
• Past University Question Papers

• Theory of Numbers
• Partial Fractions
• Bionomial Series
• Exponential Series
• Logarithnm Series
• Summation of Series
• Theory of Equations
• Matrices

• Meaning, Scope and Functions of Statistics
• Statistical Survey
• Collection and Editing of Data
• Sampling Techniques
• Classification and Tabulation
• Diagrams and Graphs
• Measures of Central Tendency
• Measures of Variation or Dispersion
• Skewness, Moments and Kurtosis
• Correlation
• Regression Analysis
• Index Numbers
• Analysis of Time Series
• Interpolation and Extrapolation
• Statistical Quality Control

• Getting Started With Spss
• Frequency Distribution and Cross Tabulation
• Construction of Frequency Distribution Tables
• Cross Tabulation
• Graphical Representation of Data – Charts and Graph
• Bar Diagrams
• Histogram
• Pie Charts
• Computation of Measures of Central Tendency
• Computation of Methods of Dispersion or Variation
• Simple and Multiple Correlation Analysis
• Simple Regression Analysis
• Multiple Regression Analysis
• Tests of Significance – Small and Large Samples
• Analysis of Variance (Anova)
• Multivariate Analysis of Variance (Manova)
• Chi-Square Test
• Non-Parametrictests
• Assessing the Reliability of Questionnaires
• Glossary

• Partial Fractions
• Binomial Series
• Exponential Series
• The Logarithmic Series
• Theory of Equations
• Matrices
• Finite Differences
• Trigonometry
• Differential Calculus
• Integration
• Multiple Integrals
• Fourier Series
• Differential Equations - First order and Higher Degree
• Total Differential Equations
• Partiall Differential Equations
• The Laplace Transform
• Vector Analysis

• Vector Differentiation
• Vector Integration
• Fourier Series
• Fourier Transform

• Vector Differentiation
• Vector Integration
• Plane
• Straight line
• Sphere
• Cone
• Cylinder
• Sequence of Real Numbers
• Series

• Elements of Set Theory
• Sequences of Real Numbers
• Series of Real Numbers
• (A) Limits and Metric Spaces (B) Metric Space
• Continuous Functions on Metric Spaces
• Connectedness, Completeness and Compactness
• Calculus

• Complex Numbers
• Geometrical Representation of Complex Numbers
• Limits and Continuity
• Analytic Functions
• Conformal Mapping
• Infinite Series, Power Series
• Complex Integration
• Development of Analytic Function as Power Series
• Singularities
• Calculus of Residues
• University Exam Paper

• Small Samples - F Test
• Linear Programming - Maximization
• Linear Programming Big 'M' Method
• Linear Programming - Duality
• Transportation
• Assignment
• Small Samples - Chi-Square Test
• Corelation
• Regression
• Multivariate Analysis
• Multiple and Partial Corelation
• Curve Fitting
• Time Series
• Operations Research
• Introduction
• Linear Programming - Formulation
• Linear Programming - Graphical method
• Theory of Probability
• Binomial Distribution
• Poisson Distribution
• Normal Distribution
• Decision Theory
• Types of Sampling
• Large Samples
• Test of Significance of Correlation Coefficient
• Small Samples - t Test

• Basic Concepts and Definitions
• Mathematical Models
• Classification of Second-Order Equations
• The Cauchy Problem
• Method of Separation of Vaiables
• Boundary-Value Problems

• Linear Equations of the First Order
• Linear Equations with Constant Coefficients
• Linear Equations with Variable Coefficients
• Linear Equations with Regular Singular Points
• Existence and Uniqueness of Solutions to First Order Equations

• Introduction
• Decision Theory
• Deterministic Inventory Control Models
• Queuing Theory
• Replacement and Maintenance Models
• Project Management : Pert and CPM
• Network Model
• Markov Chains
• Simulation
• Dynamic Programming
• Non-Linear Programming Problem
• Integer Programming
• Goal Programming (Multi-Objecctive Programming)
• Past University Question Papers