Bank Exams Exam  >  Bank Exams Notes  >  IBPS PO Prelims & Mains Preparation  >  National Income: Economics

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams PDF Download

National Income (NI) is a fundamental concept in economics, acting as a key metric for gauging a country’s economic performance. As an important economic metric of a nation, it influences policy decisions, investment considerations, and socio-economic planning. This article of EduRev aims to study in detail the concept of National Income (NI), its measures including Gross Domestic Product (GDP) and Gross National Product (GNP), methods employed to compute it, and other related concepts.

National Income (NI)

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

It refers to the aggregate value of all the final goods and services produced in a country in a particular period of time (usually one financial year).

National Income Accounting

It is a bookkeeping system that a national government uses to measure the level of the country’s economic activity in a given time period.

Understanding the concepts of National Income (NI) and National Income Accounting requires understanding some related concepts. These concepts are dealt with in the sections that follow.

Circular Flow of Income

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

  • The circular flow of income model illustrates the exchange of money, goods, and services among economic agents in an economy.
  • Money and goods/services move in opposite directions within a closed circuit.
  • Key economic activities include production, consumption, and investment.
  • Transactions between sectors of the economy facilitate the circular movement of income and expenditure.
  • This circular flow of income is characterized by the continuous exchange and movement of money and goods/services.

Domestic/ Economic Territory

  • This term denotes the geographic region governed by the Indian government where individuals, goods, and capital can move without hindrance. 
  • Notably, foreign embassies within India are excluded from this domestic/economic territory, while Indian embassies abroad are considered part of it.

Market Price (MP)

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

  • Market Price (MP) is the sum paid by a consumer when buying a product from a seller.
  • It represents the selling price of a product in the market.
  • MP includes indirect taxes, which are added to the selling price.
  • Subsidies received are not part of MP as they are deducted from the selling price.

Factor Cost (FC)

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

  • Factor Cost (FC) denotes the expenses borne by a firm for the factors of production used in manufacturing goods and services.
  • Put simply, it represents the expenditure associated with producing a good or service.
  • FC does not incorporate indirect taxes, as they are unrelated to the production process.
  • Subsidies received are included in FC, as they directly contribute to the production process.

Factor Cost (FC) = Market Price – Indirect Taxes + Subsidy

Nominal Price or Current Price

The market price of any good or service in the current year is called the Nominal Price or Current Price. Since inflation is included in the current market price, the Nominal Price or Current Price changes as per the current level of inflation.

Base Price or Constant Price

In order to compare the National Income of various years, it is calculated with reference to a particular year. This reference year is called the Base Year, and the market price of any good or service in the base year is called the Base Price or Constant Price.

Depreciation

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Depreciation, also known as the Consumption of Fixed Capital, refers to the loss in value of fixed assets due to wear and tear, accidental damages, and obsolescence.

Net Factor Income from Abroad (NFIA)

Net Factor Income from Abroad (NFIA) is equal to the difference between factor income (rent, wages, interest, and profit) earned by normal residents of India temporarily residing abroad and factor income earned by non-residents temporarily residing in India.

NFIA = Factor Income from Abroad to India – Factor Income from India to Abroad

Transfer Payments

  • Transfer Payments refer to those unilateral payments corresponding to which there is no exchange of goods or services.
  • Examples: scholarships, gifts, donations, etc.
  • Transfer payments are not included in National Income (NI).

Question for National Income: Economics
Try yourself:
What is National Income Accounting?
View Solution

Capital Output Ratio (COR)

Capital Output Ratio (COR) refers to the amount of capital (investment) needed to produce one unit of output.

Capital Output Ratio (COR) = Capital/Output

Capital Output Ratio (COR) reflects the level of efficiency in an economy. The higher the COR, the more capital is required to produce, and hence less efficiency is there in the economy, and vice versa.

Incremental Capital Output Ratio (ICOR)

Incremental Capital Output Ratio (ICOR) refers to the additional unit of capital (investment) needed to produce an additional unit of output.

Incremental Capital Output Ratio (ICOR) = Incremental Capital/Incremental Output.

Measures of National Income (NI)

There are various metrics for measuring the NI, such as:

  • Gross Domestic Product (GDP)
  • Gross National Product (GNP), etc

These measures are discussed in detail in the sections that follow.

Gross Domestic Product (GDP)

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

  • Gross Domestic Product (GDP) quantifies the total output of final goods and services generated within the domestic economy in a year.
  • Final Goods and Services: Only the ultimate, not intermediate, goods and services contribute to GDP calculation.
  • Within the Domestic Economy: GDP encompasses the production of resident citizens and foreign nationals residing within the geographical boundary.

GDP at Market Price (GDPMP)

  • GDP at Market Price (GDPMP) represents the total value of all final goods and services produced within a country's borders in a given fiscal year.
  • It encompasses the market value of these goods and services.
  • GDPMP incorporates indirect taxes imposed during production processes.
  • However, it does not take into account subsidies provided to industries or sectors.

GDP at Factor Cost (GDPFC)

  • GDP at Factor Cost (GDPFC) signifies the total worth of income derived from the factors of production: Land, Labor, Capital, and Entrepreneurship.
  • It excludes any indirect taxes levied on production processes.
  • However, it does include subsidies provided to support industries or sectors.

GDP at Factor Cost (GDPFC) = GDP at Market Price (GDPMP) – Indirect Taxes + Subsidies

Gross National Product (GNP)

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

  • Gross national product (GNP) estimates the total value of all final goods and services produced within a specific period by assets owned by a country’s citizens.
  • Final Goods and Services: Only the end products and services, not the intermediate ones, are included in GNP calculations.
  • Owned by a Country’s Citizens: GNP considers the output of both resident and non-resident citizens of the country but excludes that of foreign nationals residing within its geographic boundaries.

Thus, GNP = GDP + Factor Income from Abroad to India – Factor Income from India to Abroad.

= GDP + Net Factor Income from Abroad (NFIA)

Difference between GDP and GNP

The major difference between GDP and GNP lies in how the two concepts define the economy. While GDP defines the economy in terms of territory, GNP defines it in terms of citizens.
Thus, GDP measures the aggregate production of final goods and services taking place within the domestic economy. On the other hand, GNP measures the total value of all the final products and services produced by the citizens of a country.

Question for National Income: Economics
Try yourself:
What is the Capital Output Ratio (COR)?
View Solution

Real GDP Vs Nominal GDP

Real GDP

Real GDP refers to the total value of all goods and services produced by an economy in a given year, expressed in constant prices or base year’s prices.

Thus, Real GDP = GDP at Constant Price.


Nominal GDP

Nominal GDP refers to the total value of all goods and services produced by an economy in a given year, expressed in current market prices.

Thus, Nominal GDP = GDP at Current Price.

It is to be noted that Nominal GDP includes inflation, while Real GDP does not.

GDP Deflator

The GDP Deflator refers to the ratio of Nominal GDP to Real GDP.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

As a ratio of the NI calculated at the Current Price and that at a reference price, the GDP Deflator is an economic measure of inflation.

Gross Value Added (GVA)

Gross value added (GVA) is defined as the value of output less the value of intermediate consumption. It represents the contribution of labor and capital to the production process. Thus, the value of GVA can be derived from the GDP as follows:

GVA = GDP – Indirect Taxes + Subsidies

Difference between GVA and GDP

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Net National Income (NNI)

Net National Income (NNI) refers to Gross National Income minus the Depreciation of fixed capital assets. Thus, it takes into account the losses due to depreciation.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Prominent metrics for measuring the Net National Income (NNI) are:

  • Net Domestic Product (NDP), and
  • Net National Product (NNP)

Net Domestic Product (NDP)

Net Domestic Product (NDP) is arrived at by deducting the depreciation from GDP. Thus,

Net Domestic Product = GDP – Depreciation.

Net National Product (NNP)

Net National Product (NNP) is calculated by subtracting the depreciation from GNP. Thus,

Net National Product = GNP – Depreciation.

Methods of Computing National Income (NI)

National Income (GDP or GNP) can be calculated by 3 methods: Income Method, Expenditure Method, and Production Method.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Income Method

  • This method calculates National Income (NI) by aggregating the incomes earned by all individuals within an economy.
  • Individuals generate income by providing their own services and utilizing their property, such as land and capital, in the production process.

Therefore,

National Income (NI) = Employee compensation + Corporate profits + Proprietors’ Income + Rental income + Net Interest

Product or Value Added Method

  • This method is also known as the "Output Method".
  • National Income (NI) is calculated by summing up the values of output produced or services provided by various sectors of the economy throughout the year.
  • When determining output values, only the value added by each firm in the production process is considered, utilizing the concept of value-added.

Expenditure Method

  • This method is alternatively known as the "Total Outlay Method".
  • It operates on the assumption that the income received by an individual is either expended on consumer goods and services or saved and invested.

Therefore,

National Income (NI) = Personal Consumption Expenditure (C) + Investments (I) + Government Expenditure (G) + Exports (X) – Imports (I)

Question for National Income: Economics
Try yourself:
Which method of computing national income calculates the income earned by individuals within an economy?
View Solution

New GDP Series

The Ministry of Statistics and Programme Implementation (MoSPI) launched a new series of GDP in 2019.

Major changes that have been made to the methodology of GDP calculation are as follows:

  • Change in Base Year: The base year has been changed from 2004-05 to 2011-12.
  • Factor Costs Replaced with Market Prices: The old series of GDP used Factor Costs for calculating GDP. The new series used market prices for calculating GDP.
  • Widening of Data Pool: Previous data was sampled from the Annual Survey of Industries (ASI), which comprised about two lakh factories. The new database draws from the five lakh odd companies registered with the Ministry of Corporate Affairs (MCA21).
    • While the earlier data gave only a factory-level picture, the new data looks at the enterprise level.

These changes have led to a significant change in the GDP figures. For example, India’s GDP growth rate for the financial year 2013-14 was 4.7% as per the old methodology, and 6.9% as per the new methodology.

Difficulties in Estimating NI

Major problems faced while estimating NI can be studied under two heads – Conceptual Difficulties and Statistical or Practical Difficulties.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Conceptual Difficulties

The conceptual problem relates to how and what is to be included and what is not in the measurement of National Income (NI). Though the concept of NI implies that everything that is produced should be reckoned, by definition, we consider only those things that are exchanged for money or carry some price.

In order to mitigate these difficulties, certain guidelines have been laid down about the process of National Income estimation, and about what components have to be included.

Statistical or Practical Difficulties

  • The lack of adequate statistical data due to flaws in extrapolation, and ineffective training of illiterate statistical staff, makes the task of National Income estimation more acute and difficult.
  • Multiple counting is also an important problem while calculating NI.
  • India is a country with large regional diversities. Thus, different languages, customs, etc., also create a problem in computing the estimates.

Shortcomings of GDP

  • Inequality: GDP doesn't reflect the distribution of wealth, so it doesn't indicate whether everyone benefits from economic growth.
  • Non-Market Transactions: Volunteer work and other non-market activities aren't included in GDP.
  • Black Markets and Illegal Activities: GDP figures can be distorted by unrecorded economic activities.
  • Barter Trade: In economies where barter trade is prevalent, GDP may underestimate economic activity.
  • Environmental Losses: GDP ignores environmental damage, undermining the idea of sustainable growth.
  • Quality of Life: GDP includes negative events like disasters and illness, which don't necessarily improve well-being.
  • Happiness Level: GDP doesn't measure happiness or factors like leisure time.

Alternatives to GDP

Due to shortcomings of GDP to measure the welfare and well-being of the people, several other indicators have been proposed and are being used. Some of these indices are discussed below.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Genuine Progress Indicator (GPI)

  • Genuine Progress Indicator (GPI) is a metric that has been suggested to replace, or supplement GDP as a measure of economic growth.
  • It measures whether the environmental impact and social costs of economic production and consumption in a country are negative or positive factors in overall health and well-being.

Gross National Happiness (GNH)

  • Gross National Happiness (GNH) attempts to measure the sum total not only of economic output but also of net environmental impacts, the spiritual and cultural growth of citizens, mental and physical health, and the strength of the corporate and political systems.
  • The term was first coined by Jigme Singye Wangchuck, the King of Bhutan in the early 1970s.

Gross Sustainable Development Product (GSDP)

  • Gross Sustainable Development Product (GSDP) measures the economic impacts of environmental and health degradation or improvement; resource depletion, depreciation; the impact of people’s activity on the environment; quality of environment, etc.
  • It has been developed by the Global Community Assessment Centre and the Society for World Sustainable Development.

Human Development Index (HDI)

  • Human Development Index (HDI) is a summary measure of average achievement in key dimensions of human development, viz:
    • Health: Measured through – Life expectancy at birth
    • Education: Measured through – Mean years of schooling, and Expected years of schooling
    • Standard of Living: Measured through – Gross National Income per capita on a PPP basis.
  • It was developed by Indian Economist Amartya Sen and Pakistani economist Mahbub ul Haq.
  • It is published annually by the United Nations Development Programme (UNDP) as part of its Human Development Report.

Social Progress Index (SPI)

  • The Social Progress Index (SPI) measures the extent to which countries provide for the social and environmental needs of their citizens.
  • It focuses exclusively on indicators of social outcomes, rather than measuring inputs.
  • It has been developed by the Social Progress Imperative.

Human Capital Index (HCI)

  • The Human Capital Index seeks to measure the amount of human capital that a child can expect to attain by the age of 18.
  • It measures three components:
    • Survival: Measured by under-5 mortality rates.
    • Expected Years of Quality-Adjusted School: Combines information on the following two aspects of education.
      • Quality: Measured by harmonizing test scores from major international student achievement testing programs
      • Quantity: Measured by the number of years of school that a child can expect to obtain by age 18 given the prevailing pattern of enrollment rates across grades in respective countries.
    • Health: Measured using two indicators – adult survival rates, and rate of stunting for children under age 5 years.


Green GDP

Green GDP is a term used generally for expressing GDP after adjusting for environmental damages such as biodiversity loss, climate change impacts, etc. Thus, it is an indicator of economic growth with environmental factors taken into consideration.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

In summary, National Income (NI) serves as a holistic gauge of a nation's economic health, going beyond mere numerical representation. Despite its limitations, current NI metrics are pivotal in informing governmental policies, business strategies, and individual choices. However, there's a growing recognition of the need for more inclusive measures that account for social welfare and environmental sustainability. Therefore, ongoing research and development efforts are essential to evolve NI metrics towards a more comprehensive understanding of progress.

Question for National Income: Economics
Try yourself:
What is one of the major changes made to the methodology of GDP calculation in the new series launched in 2019?
View Solution

Methods of Computing National Income (NI)

National Income (GDP or GNP) can be calculated by 3 methods: Income Method, Expenditure Method, and Production Method.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Income Method

  • This method calculates National Income (NI) by aggregating the incomes earned by all individuals within an economy.
  • Individuals generate income by providing their own services and utilizing their property, such as land and capital, in the production process.

Therefore,

National Income (NI) = Employee compensation + Corporate profits + Proprietors’ Income + Rental income + Net Interest

Product or Value Added Method

  • This method is also known as the "Output Method".
  • National Income (NI) is calculated by summing up the values of output produced or services provided by various sectors of the economy throughout the year.
  • When determining output values, only the value added by each firm in the production process is considered, utilizing the concept of value-added.

Expenditure Method

  • This method is alternatively known as the "Total Outlay Method".
  • It operates on the assumption that the income received by an individual is either expended on consumer goods and services or saved and invested.

Therefore,

National Income (NI) = Personal Consumption Expenditure (C) + Investments (I) + Government Expenditure (G) + Exports (X) – Imports (I)

Question for National Income: Economics
Try yourself:
Which method calculates National Income (NI) by aggregating the incomes earned by all individuals within an economy?
View Solution

New GDP Series

The Ministry of Statistics and Programme Implementation (MoSPI) launched a new series of GDP in 2019.

Major changes that have been made to the methodology of GDP calculation are as follows:

  • Change in Base Year: The base year has been changed from 2004-05 to 2011-12.
  • Factor Costs Replaced with Market Prices: The old series of GDP used Factor Costs for calculating GDP. The new series used market prices for calculating GDP.
  • Widening of Data Pool: Previous data was sampled from the Annual Survey of Industries (ASI), which comprised about two lakh factories. The new database draws from the five lakh odd companies registered with the Ministry of Corporate Affairs (MCA21).
    • While the earlier data gave only a factory-level picture, the new data looks at the enterprise level.

These changes have led to a significant change in the GDP figures. For example, India’s GDP growth rate for the financial year 2013-14 was 4.7% as per the old methodology, and 6.9% as per the new methodology.

Difficulties in Estimating NI

Major problems faced while estimating NI can be studied under two heads – Conceptual Difficulties and Statistical or Practical Difficulties.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Conceptual Difficulties

The conceptual problem relates to how and what is to be included and what is not in the measurement of National Income (NI). Though the concept of NI implies that everything that is produced should be reckoned, by definition, we consider only those things that are exchanged for money or carry some price.

In order to mitigate these difficulties, certain guidelines have been laid down about the process of National Income estimation, and about what components have to be included.

Statistical or Practical Difficulties

  • The lack of adequate statistical data due to flaws in extrapolation, and ineffective training of illiterate statistical staff, makes the task of National Income estimation more acute and difficult.
  • Multiple counting is also an important problem while calculating NI.
  • India is a country with large regional diversities. Thus, different languages, customs, etc., also create a problem in computing the estimates.

Shortcomings of GDP

  • Inequality: GDP doesn't reflect the distribution of wealth, so it doesn't indicate whether everyone benefits from economic growth.
  • Non-Market Transactions: Volunteer work and other non-market activities aren't included in GDP.
  • Black Markets and Illegal Activities: GDP figures can be distorted by unrecorded economic activities.
  • Barter Trade: In economies where barter trade is prevalent, GDP may underestimate economic activity.
  • Environmental Losses: GDP ignores environmental damage, undermining the idea of sustainable growth.
  • Quality of Life: GDP includes negative events like disasters and illness, which don't necessarily improve well-being.
  • Happiness Level: GDP doesn't measure happiness or factors like leisure time.

Alternatives to GDP

Due to shortcomings of GDP to measure the welfare and well-being of the people, several other indicators have been proposed and are being used. Some of these indices are discussed below.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Genuine Progress Indicator (GPI)

  • Genuine Progress Indicator (GPI) is a metric that has been suggested to replace, or supplement GDP as a measure of economic growth.
  • It measures whether the environmental impact and social costs of economic production and consumption in a country are negative or positive factors in overall health and well-being.

Gross National Happiness (GNH)

  • Gross National Happiness (GNH) attempts to measure the sum total not only of economic output but also of net environmental impacts, the spiritual and cultural growth of citizens, mental and physical health, and the strength of the corporate and political systems.
  • The term was first coined by Jigme Singye Wangchuck, the King of Bhutan in the early 1970s.

Gross Sustainable Development Product (GSDP)

  • Gross Sustainable Development Product (GSDP) measures the economic impacts of environmental and health degradation or improvement; resource depletion, depreciation; the impact of people’s activity on the environment; quality of environment, etc.
  • It has been developed by the Global Community Assessment Centre and the Society for World Sustainable Development.

Human Development Index (HDI)

  • Human Development Index (HDI) is a summary measure of average achievement in key dimensions of human development, viz:
    • Health: Measured through – Life expectancy at birth
    • Education: Measured through – Mean years of schooling, and Expected years of schooling
    • Standard of Living: Measured through – Gross National Income per capita on a PPP basis.
  • It was developed by Indian Economist Amartya Sen and Pakistani economist Mahbub ul Haq.
  • It is published annually by the United Nations Development Programme (UNDP) as part of its Human Development Report.

Social Progress Index (SPI)

  • The Social Progress Index (SPI) measures the extent to which countries provide for the social and environmental needs of their citizens.
  • It focuses exclusively on indicators of social outcomes, rather than measuring inputs.
  • It has been developed by the Social Progress Imperative.

Human Capital Index (HCI)

  • The Human Capital Index seeks to measure the amount of human capital that a child can expect to attain by the age of 18.
  • It measures three components:
    • Survival: Measured by under-5 mortality rates.
    • Expected Years of Quality-Adjusted School: Combines information on the following two aspects of education.
      • Quality: Measured by harmonizing test scores from major international student achievement testing programs
      • Quantity: Measured by the number of years of school that a child can expect to obtain by age 18 given the prevailing pattern of enrollment rates across grades in respective countries.
    • Health: Measured using two indicators – adult survival rates, and rate of stunting for children under age 5 years.


Green GDP

Green GDP is a term used generally for expressing GDP after adjusting for environmental damages such as biodiversity loss, climate change impacts, etc. Thus, it is an indicator of economic growth with environmental factors taken into consideration.

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

Question for National Income: Economics
Try yourself:
Which of the following changes was made to the methodology of GDP calculation in the new series launched in 2019?
View Solution

In summary, National Income (NI) serves as a holistic gauge of a nation's economic health, going beyond mere numerical representation. Despite its limitations, current NI metrics are pivotal in informing governmental policies, business strategies, and individual choices. However, there's a growing recognition of the need for more inclusive measures that account for social welfare and environmental sustainability. Therefore, ongoing research and development efforts are essential to evolve NI metrics towards a more comprehensive understanding of progress.

The document National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams is a part of the Bank Exams Course IBPS PO Prelims & Mains Preparation.
All you need of Bank Exams at this link: Bank Exams
541 videos|683 docs|263 tests

Top Courses for Bank Exams

FAQs on National Income: Economics - IBPS PO Prelims & Mains Preparation - Bank Exams

1. What is the difference between Gross Domestic Product (GDP) and Gross National Product (GNP)?
Ans. GDP measures the total value of goods and services produced within a country's borders, while GNP includes the value of goods and services produced by a country's residents, both domestically and abroad.
2. How is Net National Product (NNP) calculated at Market Price?
Ans. NNP at Market Price is calculated by subtracting depreciation from Gross National Product (GNP).
3. What is the significance of measuring National Income at Factor Cost (National Income)?
Ans. National Income measured at Factor Cost provides a more accurate representation of the actual income earned by factors of production within a country, excluding indirect taxes and subsidies.
4. How is Personal Income different from Disposable Income?
Ans. Personal Income is the total income received by individuals before taxes, while Disposable Income is the income remaining after taxes have been deducted.
5. What are some of the difficulties in measuring National Income accurately?
Ans. Some of the difficulties in measuring National Income include inaccuracies in data collection, the informal economy, non-market transactions, and rapidly changing economic structures.
541 videos|683 docs|263 tests
Download as PDF
Explore Courses for Bank Exams exam

Top Courses for Bank Exams

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

practice quizzes

,

Previous Year Questions with Solutions

,

Viva Questions

,

Objective type Questions

,

pdf

,

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

,

ppt

,

video lectures

,

Important questions

,

study material

,

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

,

shortcuts and tricks

,

Summary

,

Sample Paper

,

Exam

,

Free

,

National Income: Economics | IBPS PO Prelims & Mains Preparation - Bank Exams

,

Extra Questions

,

mock tests for examination

,

MCQs

,

past year papers

,

Semester Notes

;