Modern - Pure - Applied - Vedic
Binary Numbers Indices, Logarithm and Antilogarithm Laws & Properties of logarithms Simple applications of logarithms and antilogarithm Modulo Arithmetic Congruence Modulo Alligation and Mixture Numerical Problems Boats and Streams Pipes and Cisterns Races and Games Numerical Inequalities
Averages Clock Calendar TIme, Work and Distance Mensuration Seating arrangement
Sets Relations Sequences and Series Permutations and Combinations Binomial Theorem Matrices and types of matrices Equality of matrices, Transpose of a matrix, Symmetric and Skew symmetric matrix Algebra of Matrices Determinants Inverse of a matrix Solving system of simultaneous equations using matrix method, Cramer’s rule and
Functions Domain and Range of a function Types of functions Graphical representation of functions Concepts of limits and continuity of a function Instantaneous rate of change Differentiation and its Applications Differentiation as a process of finding derivative Derivatives of algebraic functions using Chain Rule Higher Order Derivatives Application of Derivatives Marginal Cost and Marginal Revenue using derivatives Increasing/Decreasing Functions Maxima and Minima Integration and its Applications Integration Indefinite Integrals as area under the curve Applications of Integration Differential Equations and Modeling Differential Equations Formulating and Solving Differential Equations Application of Differential Equations
Introduction Random experiment and sample space Event Conditional Probability Total Probability Bayes’ Theorem Probability Distribution Mathematical Expectation Variance Binomial Distribution Poisson Distribution Normal Distribution Descriptive Statistics Data Interpretation Measure of Dispersion Skewness and Kurtosis Percentile rank and Quartile rank Correlation
Population and Sample Parameter and Statistics and Statistical Inferences t-Test (one sample t-test and two independent groups t-test)
Time series Components of Time series Time series analysis for univariate data Secular Trend Methods of Measuring trend
Interest and Interest Rates Accumulation with simple and compound interest or with equivalency Effective rate of interest Present value, net present value and future value Annuities, Calculating value of Regular Annuity Simple applications of regular annuities (upto 3 period) Tax, calculation of tax, simple applications of tax calculation in GST, IT Bills, tariff rates, fixed charge, surcharge, service charge Calculation and interpretation of electricity bill, water supply bill and other supply bills Perpetuity, Sinking Funds Calculation of EMI Calculation of Returns, Nominal Rate of Return Compound Annual Growth Rate Linear method of Depreciation
Straight line Circle Parabola
Logical reasoning