Tamil Nadu HSE First Year Business Mathematics and Statistics study plan

Compute 2×2 and 3×3 determinants by cofactor expansion and verify results using determinant properties.

Solve two- and three-variable linear systems using Cramer's rule and matrix inversion.

Test matrices for symmetry, skew-symmetry, singularity, and consistency of associated equations.

Maintain an error log that classifies every sign, expansion, and arithmetic mistake from practice sets.

Evaluate limits using factorization, rationalization, and standard limit results.

Differentiate polynomials, products, quotients, and composite functions using the chain rule.

Differentiate exponential, logarithmic, and trigonometric functions and combine rules correctly.

Apply derivatives to marginal cost, marginal revenue, and simple rate-of-change business problems.

Calculate simple interest, compound interest, effective rate, present value, and future value.

Solve ordinary annuity and sinking-fund problems by identifying the correct formula and time period.

Construct a six-period loan or investment schedule showing interest, principal, and balance.

Compare two financial options using present-value reasoning and state which is preferable.

Find equations of straight lines in slope-intercept, point-slope, and general forms; compute distance and angle between lines.

Derive equations of circles from center-radius, diameter, and tangent conditions, and identify standard conic forms.

Evaluate indefinite integrals using standard formulas, substitution, and integration by parts.

Evaluate definite integrals and use them to compute simple areas under curves.

Compute mean, median, and mode for raw data, discrete distributions, and continuous frequency distributions.

Calculate range, quartile deviation, mean deviation, standard deviation, and coefficient of variation.

Interpret coefficient of variation to compare consistency between two data sets.

Construct a cumulative frequency table and use it to locate median and quartiles.

Decompose proper rational expressions into partial fractions for distinct linear, repeated linear, and quadratic factors.

Solve permutation and combination problems involving restrictions, circular arrangements, and selections.

Expand binomial powers and find the general term, middle term, and coefficient of a specified power.

Apply counting methods to business scenarios such as scheduling, selection committees, and code formation.

Identify arithmetic and geometric sequences and compute nth terms, finite sums, and infinite geometric sums.

Apply sequences and series to salary increments, depreciation, and simple growth models.

Convert between degrees and radians and prove basic trigonometric identities.

Solve trigonometric equations within a stated interval and apply sine and cosine rules to triangle problems.

Compute classical probabilities using addition and multiplication rules for simple and independent events.

Construct a scatter diagram, compute Karl Pearson's correlation coefficient, and interpret its sign and strength.

Fit two regression lines and use them to predict a response value within the observed data range.

Review the full error log and re-solve one representative problem from each previously missed topic.