NEB Class 12 Business Mathematics Syllabus 2080
Complete Syllabus of NEB Class 12 Business Mathematics for NEB Exam 2080.
Check: Class 12 Business Mathematics Model Question Solution 2080
Subject: Business Mathematics
Grade: 12
Subject code: Bmt. 406
Credit hours: 5
Working hours: 160
Introduction
Business primarily revolves around the financial transaction or products that have some monetary value. Involvement of finance makes it extremely important to have sufficient knowledge about the basics of calculations. This is where business mathematics comes into play. It deals with the fundamental topics that one needs to carry out business related calculations. Realizing the necessity to impart the same on students, the curriculum has been developed for Grades 11 and 12 so as to prepare them for job market and for higher studies.
The curriculum of Business Mathematics for Grade 11 and 12 is designed to equip the students with mathematical and statistical concepts applicable in business and economics. The purpose of this course, then, is to present mathematical and statistical skills and concepts so that the students will be able to use them in management, economics, and social sciences. As mathematics and statistics are widely used in economics, business and finance, the students need a certain level of skill and understanding of the basic mathematical and statistical methods. The pedagogical approaches in delivering the course should consider the balance between theory and practice. In doing so, students should provide ample opportunities of working actively in real-world problems. The same applies in case of student evaluation procedure too.
The curriculum has different sections: level-wise competencies, grade-wise learning outcomes, contents and their elaboration, suggested project works, learning facilitation process and the assessment procedure. The major content areas included in this course are: algebra, calculus, financial mathematics, linear programming, statistics and probability.
Level-wise Competencies
By the end of the grade 12, the students will have the following competencies.
1. Understand the concepts of algebra and employ a variety of thinking processes and strategies to truly understand the concepts that underlie the business problems.
2. Apply calculus in business and economics fields.
3. Apply partnership, present worth and discount, arithmetic sequence and series, geometric sequence and series, compound interest and depreciation, NPV and IRR, annuity in business and many other fields.
4. Maximize the profit and minimize the cost under very limited resources used.
5. Apply statistical knowledge and skills for their personal development and future career pathways, and analyze the data using Ms. Excel.
6. Develop appropriate process skills for the acquisition and application of mathematical concepts and skills.
7. Apply mathematical and statistical knowledge and skills for their personal development and future career pathways.
8. Apply modern technology to solve problems related to business and economic fields.
NEB Class 12 Marketing Chapter List
| Unit | Chapter | Working Hours |
|---|---|---|
| 1 | Algebra | 21 |
| 2 | Calculus | 40 |
| 3 | Financial Mathematics | 17 |
| 4 | Linear Programming Problem | 10 |
| 5 | Statistics | 20 |
| 6 | Probability | 12 |
Grade-wise Learning Outcomes
1. Algebra
1.1 Perform matrix operations.
1.2 Use laws of matrix algebra.
1.3 Find the transpose of a matrix.
1.4 Evaluate determinants (up to third order).
1.5 Find ad joint and inverse of a matrix.
1.6 Solve system of linear equations by Cramer’s rule, inverse matrix method and Gauss elimination method.
1.7 Solve problems of input/output analysis.
1.8 Use excel in solving problems of matrix algebra.
2. Calculus
2.1 Define monotonic functions and test the monotonicity.
2.2 Identify stationary point and point of inflection.
2.3 Solve problems related elasticity of demand.
2.4 Acquaint with relation between the marginal revenue, average revenue and elasticity of demand.
2.5 Optimize functions of one variable using derivative.
2.6 Define the definite integral using the Fundamental Theorem of Calculus.
2.7 Find the area under a curve (simple problems only).
2.8 Solve problems of marginal analysis, consumer and producer surplus.
2.9 Solve first-order linear differential equations with constant coefficient and constant term.
2.10 Solve differential equations for limited and unlimited growth.
2.11 Dynamics of market price function (Dynamic analysis)
3. Financial Mathematics
3.1 Solve problems of geometric sequence and series.
3.2 Solve problems of compound interest and depreciation.
3.3 Find net present value and internal rate of return.
3.4 Compare investment projects.
3.5 Solve problems of ordinary annuity, annuity due, deferred annuity, perpetuities and sinking funds.
3.6 Use excel in solving problems of financial mathematics.
4. Linear Programming Problem
4.1 Define standard LP Problems.
4.2 Solve LP Problems by simplex method and its application in business and economics.
4.3 Solve standard minimization LP Problems using duality.
5. Statistics
5.1 Find Karl Pearson’s and Bowley’s coefficient of skewness.
5.2 Find the five number summaries of raw data.
5.3 Define correlation and find correlation coefficient by Karl Pearson’s method and interpret the result.
5.4 Define regression and find regression lines of Y on X and X on Y using least square method.
5.5 Use excel in solving problems of Skewness, Correlation and Regression.
6. Probability
6.1 Define conditional probability and solve the related problems.
6.2 Use multiplication law of probability for dependent events.
6.3 State and apply the Bayes’ theorem (simple problems only).
6.4 Define mathematical expectation and variance of a discrete random variable and solve related problems.
6.5 Define binomial distribution.
6.6 Use characteristics of the binomial distribution to solve the simple problems only.
6.7 Find mean and standard deviation of the binomial distribution.
6.8 Use excels in solving problems of conditional probability, Bayes’ theorem, Expected Value, Binomial Probability.
Scope and Sequence of Contents
| 4. Scope and Sequence of Contents |
|---|
1. Algebra LH21
|
2. Calculus LH40
|
3. Financial Mathematics LH17
|
4. Linear Programming Problem LH10
|
5. Statistics LH20
|
6. Probability LH12
|
Suggested Practical/Project Activities
|
SN |
Content Area |
Task |
LH |
|
1 |
Algebra |
o Performing basic operations on matrices using excel. o Evaluating a determinant of a Matrix using excel. o Solving system of linear equations using matrices. o Solving problems involving a Leontief input-output model using excel. o Applications of matrices in real life. o Methods of solving system of linear equations by using Cramer’s rule, inverse matrix method and Gauss elimination method. |
7 |
|
2 |
Calculus |
o Applications of maxima and minima of one variable in daily life. o Calculating consumer surplus and producer surplus using definite integral. o Applications of differential equations with constant coefficient and constant term in economics. |
7 |
|
3 |
Financial Mathematics |
o Solving some problems of geometric sequence and series using excel. o Solving some problems of compound interest and depreciation using excel. o Solving some problems of net present value and internal rate of return using excel. o Solving some problems on amount of immediate annuity and annuity due using excel. o Solving some problems on present value of immediate annuity and annuity due using excel. o Solving some problems on present value of deferred annuity using excel. o Solving some problems on present value of perpetual annuity using excel. o Investigation on geometric sequence and series can be applied in real life situations. o Applying the concept of compound interest and depreciation in all areas of life. o Net present value (NPV) and internal rate of return (IRR) methods for project evaluation. o Calculating amount and present values of annuities in real life situations. |
6 |
|
4 |
Linear Programming |
o Simplex method of solving linear programming problem(LPP) o Simplex method of solving linear programming problem(LPP) |
5 |
|
5 |
Statistics |
o Calculating Karl Pearson’s and Bowley’ coefficient of skewness for individual series, discrete series and continuous series using excel. o Calculating five number summary for individual series, discrete series and continuous series using excel. o Calculating Karl Pearson’s correlation coefficient using excel. o Estimating regression lines of Y on X and that of X on Y using excel. o Skewness in statistics. o Calculating correlation coefficient by Karl Pearson’s method and its interpretation in real life situations. o Estimating simple regression lines of Y on X and X on Y in real life situations. |
11 |
|
6 |
Probability |
o Solving some problems on conditional probability and Bayes’ theorem using excel. o Finding expected value and variance of discrete random variable using excel. o Finding the probability of an event of binomial distribution using excel. o Finding the mean and standard deviation of binomial distribution using excel. o Developing conceptual understanding of Conditional Probability and Bayes’ theorem through explanation. o Developing conceptual understanding of Binomial distribution through explanation. |
4 |
|
Total |
40 |
Student Assessment
Continuous assessment of students for formative purpose will be an integral part of teaching learning process. Student’s summative evaluation will be done using both internal (25%) and external examination (75%).
(a) Internal Evaluation
Practical evaluation includes written tests (first term, second term), classroom participation and project work including presentation /excels lab work. The scores of evaluation will be used for providing feedback and to improve their learning. The criteria for internal evaluation are shown in the following table:
|
SN |
Criteria |
Marks |
|
1 |
Classroom participation (Daily attendance, home assignment and classwork, participation in learning, participation in other activities) |
3 |
|
2 |
Trimester exam (3 marks from each trimester exam) |
6 |
|
3 |
Project work, project report and presentation |
16 |
|
Total |
25 |
(b) External Evaluation
External evaluation of the students will be based on the written examination. It carries 75 percent of the total weightage. The types and number questions will be as per the test specification chart developed by the Curriculum Development Centre.
