NEB Class 12 Business Mathematics Curriculum

Business Mathematics (Bmt. 406)
Syllabus

Full marks: 75 (Pass marks: 24)

Course Contents:

Unit 1: Algebra

1. Perform matrix operations.
2. Use laws of matrix algebra..
3. Find the transpose of a matrix.
4. Evaluate determinants (up to third order).
5. Find adjoint and inverse of a matrix.
6. Solve system of linear equations by Cramer’s rule, inverse matrix method and Gauss elimination method. .
7. Solve problems of input/output analysis.
8. Use excel in solving problems of matrix algebra.

Unit 2: Calculus

1. Define monotonic functions and test the monotonicity.
2. Identify stationary point and point of inflection.
3. Solve problems related elasticity of demand.
4. Acquaint with relation between the marginal revenue, average revenue and elasticity of demand.
5. Optimize functions of one variable using derivatives.
6. Define the definite integral using the Fundamental Theorem of Calculus.
7. Find the area under a curve (simple problems only).
8. Solve problems of marginal analysis, consumer and producer surplus.
9. Solve first-order linear differential equations with constant coefficient and constant term.
10. Solve differential equations for limited and unlimited growth.
11. Dynamics of market price function(Dynamic analysis).

Unit 3: Financial Mathematics

1. Solve problems of geometric sequence and series.
2. Solve problems of compound interest and depreciation.
3. Find net present value and internal rate of return.
4. Compare investment projects.
5. Solve problems of ordinary annuity, annuity due, deferred annuity, perpetuities and sinking funds.
6. Use excel in solving problems of financial mathematics.

Unit 4: Linear Programming Problem

1. Define standard LP Problems.
2. Solve LP Problems by simplex method and its application in business and economics.
3. Solve standard minimization LP Problems using duality.

Unit 5: Statistics

1. Find Karl Pearson’s and Bowley’s coefficient of skewness.
2. Find the five number summary of raw data.
3. Define correlation and find correlation coefficient by Karl Pearson’s method and interpret the result.
4. Define regression and find regression lines of Y on X and X on Y using least square method.
5. Use excel in solving problems of Skewness, Correlation and Regression.

Unit 6: Probability

1. Define conditional probability and solve the related problems.
2. Use multiplication law of probability for dependent events.
3. State and apply the Bayes’ theorem (simple problems only).
4. Define mathematical expectation and variance of a discrete random variable and solve related problems.
5. Define binomial distribution.
6. Use characteristics of the binomial distribution to solve the simple problems only.
7. Find mean and standard deviation of the binomial distribution.
8. Use excel in solving problems of conditional probability, Bayes’ theorem, Expected Value, Binomial Probability.