Assam HS Class 11-12 Business Mathematics & Statistics study plan

Derive the compound interest formula from first principles and compute maturity amounts for annual, half-yearly and quarterly compounding on at least 10 self-made business problems

Distinguish simple interest from compound interest numerically by tabulating both for the same principal over 1, 2, 5 and 10 years and stating where the gap becomes material

Solve for principal, rate, time and effective annual rate when the other three are given, including cases requiring logarithms

Build a formula sheet linking arithmetic progression (simple interest as linear growth) and geometric progression (compound interest as exponential growth) with the nth term and sum formulas for both

Compute present value and future value of a single sum and of an annuity regular (immediate) using the standard annuity formulas, showing every substitution step

Construct sinking fund and loan-amortisation style problems where the periodic deposit or instalment is the unknown

Evaluate limits of rational and exponential-type functions by direct substitution, factorisation and simplification, including the standard limit leading to e

Differentiate polynomials, products, quotients and simple exponential and logarithmic functions, and interpret the derivative as marginal cost, marginal revenue and marginal propensity

Find maxima and minima of cost, revenue and profit functions using first and second derivative tests, and verify each stationary point

Solve elasticity of demand and break-even style optimisation problems where the objective function must first be constructed from given data

Integrate standard algebraic and exponential forms and evaluate definite integrals between limits

Apply definite integration to compute total cost from marginal cost and consumer surplus from a demand function

Identify and correct common calculus slips such as forgetting the constant of integration and misapplying the quotient rule

Perform matrix addition, scalar multiplication and multiplication of conformable matrices, and state clearly why matrix multiplication is not commutative

Compute 2x2 and 3x3 determinants by expansion along a row or column and find inverses of 2x2 matrices

Solve a system of two or three linear equations by Cramer's rule and by matrix inversion, and interpret the solution as a market equilibrium or input-mix problem

Express business word problems in set language, apply union, intersection and complement, and use Venn diagrams with two and three sets to count survey-type data

Distinguish relations from functions and test whether a given relation is a function, including domain and range in business contexts

Classify raw data by variable type and construct a frequency distribution with appropriate class intervals, mid-values and cumulative frequencies

Draw and label a histogram, frequency polygon, ogive and pie chart from the same dataset and read specific values off each

Compute mean, median and mode for raw, discrete and grouped data, including the step-deviation shortcut for grouped mean

Compute range, quartile deviation, mean deviation, variance and standard deviation, and compare two datasets by coefficient of variation

Explain how the choice of average depends on the shape of the distribution and the presence of extreme values

Construct a scatter diagram and compute Karl Pearson's coefficient of correlation for both raw and grouped data

Compute rank correlation for tied and untied ranks and interpret the sign and magnitude of each result

Derive the two regression lines from the means, standard deviations and correlation coefficient, and predict one variable from the other

State the classical and relative-frequency definitions of probability and apply the addition and multiplication theorems, including conditional probability

Solve business probability problems involving independent and mutually exclusive events, and compute expected value for a simple decision

Decompose a time series into trend, seasonal, cyclical and irregular components and compute a moving-average trend for a given series

Fit a straight-line trend by least squares and by the semi-average method, then forecast two future periods

Compute Laspeyres, Paasche and Fisher index numbers and explain the upward bias of Laspeyres and the use of the chain index

Apply the fundamental counting principle and solve permutation problems with and without repetition and with restricted positions

Solve combination problems and distinguish clearly when order matters in business scenarios such as seating, selection of committees and arrangement of codes

Re-solve one representative problem from each of the eleven domains under timed conditions without notes

Review the error logs from weeks 3 and 6 and redo every previously wrong question correctly

Memorise all formulas for finance, calculus, dispersion, correlation and index numbers by writing them from memory twice

Attempt two full-length mock papers of 3 hours each and mark them using the official-style marks distribution