CHSE Odisha Business Mathematics & Statistics study plan

State and apply the limit definition of the derivative to compute derivatives of polynomial, rational, and radical functions from first principles

Derive and memorize the product, quotient, and chain rules, then apply them to differentiate composite functions in 15 mixed practice problems without referring to notes

Compute second derivatives and use them to classify stationary points as maxima, minima, or points of inflection in 8 word problems on cost, revenue, and profit

Evaluate 3x3 determinants by cofactor expansion and apply Cramer's rule to solve a 3-variable linear system

Find the inverse of a 2x2 and 3x3 matrix using the adjoint method and verify by multiplication

Apply derivatives to marginal cost, marginal revenue, elasticity of demand, and maximum-minimum optimization word problems

State the standard integrals of algebraic, exponential, and trigonometric functions and integrate by substitution in 12 problems

Integrate by parts and by partial fractions, choosing the correct method for each of 10 given integrands

Evaluate definite integrals and use them to compute area under a curve and between two curves

Solve 5 applied problems using integration to find total cost from marginal cost and consumer surplus from a demand function

Define sets, subsets, power sets, and universal sets and compute cardinalities including the power set size of a 4-element set

Apply De Morgan's laws and set identities to simplify 10 expressions and verify each with a Venn diagram sketch

Classify relations as reflexive, symmetric, transitive, and equivalence relations on small finite sets

Determine domain, range, and inverse of linear, quadratic, and rational functions and identify one-one and onto functions

Solve 2x2 and 3x3 matrix systems by Gaussian elimination and by matrix inversion, and check consistency of a system with no unique solution

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

Compute quartiles, deciles, and percentiles for grouped data and interpret each result in context

Calculate mean deviation about mean and median, and standard deviation and variance by both direct and assumed-mean methods

Compute and interpret coefficient of variation to compare consistency of two data sets

Identify the correct measure of central tendency and dispersion for skewed versus symmetric distributions in 6 short case questions

Construct a scatter diagram mentally from a data table and describe the direction and strength of association

Compute Karl Pearson's coefficient of correlation for raw and grouped data and interpret the sign and magnitude

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

State the addition and multiplication theorems of probability and solve problems on mutually exclusive and independent events

Apply conditional probability and Bayes' theorem to 6 two-stage experiment problems

Compute mean and variance of a binomial distribution and solve 5 problems on the Poisson distribution

Apply the fundamental counting principle, permutations, and combinations to arrangement and selection problems with and without repetition

Solve problems involving circular permutations and restricted arrangements such as vowels kept together

Find the nth term and sum of n terms of an arithmetic progression and solve 8 AP word problems

Find the nth term and sum of a geometric progression, including infinite GP sums where the common ratio is less than one in absolute value

Solve 5 problems combining AP and GP, such as arithmetic-geometric sequences and growth or depreciation applications

Derive and apply slope, distance, section, and midpoint formulas and find the equation of a line in slope-intercept, point-slope, and two-point forms

Find the angle between two lines and the condition for parallel and perpendicular lines, and compute perpendicular distance from a point to a line

Find the equation of a line through the intersection of two lines and of a line with a given slope and intercept

Construct Laspeyres, Paasche, and Fisher index numbers from a price and quantity table and interpret each

Compute moving averages and fit a straight-line trend by the least squares method to a short time series

Re-solve every item in your error log from weeks 1 to 7 and confirm each mistake is now corrected

Complete two full-length timed mock papers under exam conditions and record the time spent per section

Review the highest-weight domains (statistics, calculus, probability) using only your own summary sheets

Build a one-page recall sheet of formulas for all 11 domains and recite it from memory in 10 minutes