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NEB Class 11 Business Mathematics Syllabus 2080

NEB Class 11 Business Mathematics Syllabus 2080. CDC Updated Class 11 Business Mathematics Course and Syllabus in 2080 for NEB Exam 2081.
NEB Class 11 Business Mathematics Syllabus 2080

NEB Class 11 Business Mathematics Syllabus 2080

 

 

 

Complete Syllabus of NEB Class 11 Business Mathematics for NEB Exam 2080.

 

Check: Class 12 Business Mathematics Model Question Solution 2080

Also Check: Class 11 Model Question (All Subject) 

 

Subject: Business Mathematics

Grade: 11

Subject code: Bmt. 405

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


Unit 1: Algebra - 21 hrs

 

  • Define functions, inverse, and composite functions.
  • Graph linear functions.
  • Find slope and intercepts of a line.
  • Solve linear inequalities and use their properties.
  • Use absolute values and their properties.
  • Apply linear functions in economics and management.
  • Solve systems of linear equations.
  • Solve economic problems involving systems of linear equations.
  • Solve quadratic equations and inequalities.
  • Sketch the graph of a quadratic function.
  • Solve economic and management problems involving quadratic equations.
  • Define exponential and logarithmic functions.
  • Solve exponential and logarithmic equations.
  • Solve economic and management problems involving exponential and logarithmic functions.
  • Use Excel for graphing linear and quadratic functions and solving related equations.

 


Unit 2: Calculus - 40 hrs

 

  • Define the limit of a function.
  • Find limits of algebraic functions.
  • Define and test continuity of a function.
  • Define the derivative of a function.
  • Find derivatives using differentiation rules.
  • Differentiate implicit and parametric functions.
  • Find higher-order derivatives up to third order.
  • Use differentiation in marginal analysis.
  • Define integration as the reverse process of differentiation.
  • Integrate using rules/methods of integration.
  • Find total cost, total revenue, and total profit functions. (Note: Derivatives and antiderivatives of algebraic, logarithmic, and exponential functions only.)

 


Unit 3: Financial Mathematics - 17 hrs

 

  • Solve problems of partnership, present worth, and discount.
  • Define arithmetic sequences and series.
  • Solve problems related to arithmetic progressions.
  • Solve economics and business problems involving arithmetic sequences and series.
  • Use Excel in solving problems of financial mathematics.

 


Unit 4: Linear Programming Problem - 10 hrs

 

  • Find graphical solutions of a system of linear inequalities.
  • Solve linear programming problems by graphical method and apply them in economics.
  • Use Excel in graphing linear inequalities and solving linear programming problems by graphical method.

 


Unit 5: Statistics - 20 hrs

 

  • Divide the dataset into classes.
  • Build cumulative frequency distribution.
  • Find various measures of central tendency and dispersion.
  • Find missing frequencies when total frequency and either mean, median, or mode are given.
  • Use appropriate measures of average.
  • Use Excel in solving problems of central tendency and dispersion.

 


Unit 6: Probability - 12 hrs

 

  • State the basic principles of counting and solve related problems.
  • Find permutations and combinations (simple cases only).
  • State mathematical and empirical definitions of probability.
  • Solve simple probability problems using combinations.
  • Understand dependent and independent events.
  • State two basic laws of probability and solve related problems.
  • Use Excel in solving problems of permutations, combinations, and probability.

 

Total Working Hours: 120 hrs


Class 11 Business Mathematics - NEB Syllabus 2080

 

 
 
 
 

Scope and Sequence of Contents

Unit 1: Algebra - 21 hrs
  • 1.1 Linear Functions, Equation and Inequalities
    • Functions
    • Inverse and composite functions
    • Linear Equations
    • Linear Functions and their graphs
    • Slope and intercepts of a line
    • Inequalities and their properties (without theoretical proof)
    • Absolute values and their properties (without theoretical proof)
  • 1.2 Applications
    • Demand, supply, cost, revenue, and profit functions
    • Elasticity of demand, supply, and income
    • Budget and cost constraints
  • 1.3 System of linear equations
    • Solving System of linear equations (Up to three variables)
  • 1.4 Applications
    • Supply and Demand Analysis
    • Break-Even Analysis
    • Consumer and producer surplus
    • National income determination
  • 1.5 Quadratic Functions and Equations
    • Quadratic Functions
    • Quadratic equations
    • Quadratic inequalities
    • Main characteristics (open upward and downward, domain and range, zeroes, vertex, axis of symmetry, and intercepts)
    • Sketching the graph of a quadratic function with its main characteristics
  • 1.6 Applications
    • Supply and Demand Analysis
    • Break-Even Analysis
    • Optimization
  • 1.7 Exponential and Logarithmic functions
    • Exponential functions
    • Logarithmic functions and their properties
    • Natural and common logarithms
    • Exponential and Logarithmic equations
    • Economics and Management Applications
  • 1.8 Comp. Work: Excel for linear and quadratic functions and equations.
Unit 2: Calculus - 40 hrs
  • 2.1 Limit and Continuity
    • Limit of a function
    • Procedure of finding Limit
    • Limit at infinity
    • Continuity of a function (Note: Algebraic function only)
  • 2.2 Differentiation
    • Derivatives
    • Average and Instantaneous Rates of Change
    • Rules of differentiations
    • Implicit and parametric Differentiation
    • Higher-Order Derivatives up to third order (Note: Algebraic, exponential, and logarithmic function only)
  • 2.3 Applications
    • Marginal cost, Marginal revenue, and Marginal profit
  • 2.4 Indefinite Integration
    • Integration as the reverse process of differentiation
    • Rules of integrations
    • Total cost, total revenue, and total profit function
Unit 3: Financial Mathematics - 17 hrs
  • 3.1 Financial Mathematics
    • Partnership
    • Present worth and Discount
    • Arithmetic Sequences and series and their applications
  • 3.2 Comp. Work: Excel for financial mathematics
Unit 4: Linear Programming Problem - 10 hrs
  • 4.1 Linear Programming Problem
    • Linear inequalities and their graphical solutions
    • Graphical method of solving LPP
    • Application of LPP in economics and business
  • 4.2 Comp. Work: Excel for graphical method of solving LPP
Unit 5: Statistics - 20 hrs
  • 5.1 Measures of central Tendency
    • Exclusive and inclusive classes, cumulative frequency distribution, and open end classes
    • Mean (arithmetic and weighted arithmetic means)
    • Combined mean of two series
    • Median
    • Partition values
    • Mode
    • Choice of an average
  • 5.2 Measures of Dispersion
    • Range and its relative measure
    • Quartile deviation and its relative measure
    • Mean deviation from mean and median and their relative measures
    • Standard deviation and its relative measure
    • Coefficient of Variation
    • Variance
    • Combined standard deviation
  • 5.3 Comp. Work: Excel for central tendency and dispersion
Unit 6: Probability - 12 hrs
  • 6.1 Permutation and Combination
    • Basic Principles of counting
    • Permutation: Set of objects all different, set of objects not all different (simple cases only)
    • Combination of things all different (simple cases only)
  • 6.2 Probability
    • Mathematical and empirical definition of probability
    • Dependent and Independent Events
    • Basic laws of probability (without theoretical proof)
  • 6.3 Comp. Work: Excel for Permutation, combination, probability, and basic laws of probability

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.


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Iswori Rimal is the author of iswori.com.np, a popular education platform in Nepal. Iswori helps students in their SEE, Class 11 and Class 12 studies with Complete Notes, important questions and other study materials.

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