UPSC ESE Civil Engineering General Studies and Engineering Aptitude Syllabus

General Studies and Engineering Aptitude syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for General Studies and Engineering Aptitude in UPSC ESE Civil Engineering, not a summary of it.

1. 1

   Current issues of national and international importance

   3 topics

   • Current Affairs
   • Economic and Social Development
   • Environmental Issues
2. 2

   Engineering Mathematics and Numerical Analysis

   5 topics

   • Linear Algebra
   • Calculus
   • Differential Equations
   • Probability and Statistics
   • Numerical Methods
3. 3

   Engineering Aptitude

   3 topics

   • Logical Reasoning
   • Analytical Ability
   • Data Interpretation
4. 4

   Ethics and Values in Engineering Profession

   2 topics

   • Ethics and Values
   • Professional Ethics

General Studies and Engineering Aptitude flashcards for UPSC ESE Civil Engineering

24 of 53 cards from the General Studies and Engineering Aptitude deck — real questions with worked answers.

1. In the context of UPSC ESE General Studies, what is meant by 'Current Affairs' as a preparation area?

   Knowledge of recent national and international events spanning polity, economy, science and technology, defence, sports, awards and government schemes, typically covering the 6-12 months preceding the examination.

2. Which constitutional body conducts the UPSC Engineering Services Examination, and under which article is it established?

   The Union Public Service Commission (UPSC), established under Article 315 of the Constitution of India.

3. Name India's flagship scheme launched to provide piped drinking water to every rural household, frequently tested in current affairs.

   The Jal Jeevan Mission (Har Ghar Jal), launched in 2019 with the goal of functional household tap connections to all rural homes.

4. What does the acronym 'NITI Aayog' stand for, and what body did it replace?

   National Institution for Transforming India; it replaced the Planning Commission in 2015 and functions as a policy think-tank rather than an allocator of funds.

5. In economics, define Gross Domestic Product (GDP).

   The total monetary value of all final goods and services produced within a country's geographical boundaries during a specific period, usually one year.

6. Distinguish between fiscal deficit and revenue deficit.

   Fiscal deficit is the excess of total government expenditure over total receipts excluding borrowings; revenue deficit is the excess of revenue expenditure over revenue receipts.

7. What is the Human Development Index (HDI), and which three dimensions does it combine?

   A composite index of development published by UNDP combining (1) a long and healthy life (life expectancy), (2) knowledge (education), and (3) a decent standard of living (GNI per capita).

8. Define inflation and name the two principal price indices used to measure it in India.

   Inflation is a sustained rise in the general price level of goods and services. It is measured by the Wholesale Price Index (WPI) and the Consumer Price Index (CPI).

9. What is the difference between economic growth and economic development?

   Economic growth is a quantitative increase in a country's output/real GDP; economic development is a broader qualitative improvement including living standards, health, education and equity.

10. In environmental science, define the term 'biochemical oxygen demand' (BOD) and state what high BOD indicates.

    BOD is the amount of dissolved oxygen required by aerobic microorganisms to decompose organic matter in water over a set period (usually 5 days at $20^{\circ}\text{C}$). High BOD indicates heavy organic pollution and low water quality.

11. What is the greenhouse effect, and name three major greenhouse gases.

    The trapping of outgoing infrared radiation by atmospheric gases, warming the Earth's surface. Major greenhouse gases include carbon dioxide ($\ce{CO2}$), methane ($\ce{CH4}$) and nitrous oxide ($\ce{N2O}$).

12. Define eutrophication of a water body.

    Nutrient enrichment (mainly nitrogen and phosphorus) of a water body causing excessive algal growth, which depletes dissolved oxygen on decomposition and harms aquatic life.

13. What is the difference between point source and non-point source pollution?

    Point source pollution originates from a single identifiable discharge (e.g., a factory outlet pipe); non-point source pollution comes from diffuse, spread-out origins (e.g., agricultural runoff) and is harder to regulate.

14. What international agreement aims to keep global temperature rise well below $2^{\circ}\text{C}$ above pre-industrial levels?

    The Paris Agreement (2015), adopted under the United Nations Framework Convention on Climate Change (UNFCCC).

15. In linear algebra, state the condition under which a square matrix $A$ is invertible.

    $A$ is invertible if and only if its determinant is non-zero, $\det(A) \neq 0$ (equivalently, $A$ has full rank and its columns are linearly independent).

16. What is an eigenvalue $\lambda$ of a square matrix $A$?

    A scalar $\lambda$ such that there exists a non-zero vector $\vec{x}$ with $A\vec{x} = \lambda \vec{x}$; it is found by solving the characteristic equation $\det(A - \lambda I) = 0$.

17. State the formula for the inverse of a $2\times 2$ matrix $A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}$.

    $$A^{-1} = \frac{1}{ad - bc} \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}, \quad ad - bc \neq 0.$$

18. What does the rank of a matrix represent?

    The maximum number of linearly independent rows (or equivalently columns) of the matrix; it equals the dimension of the row space (= column space).

19. State the Cayley-Hamilton theorem.

    Every square matrix satisfies its own characteristic equation: if $p(\lambda) = \det(A - \lambda I)$, then $p(A) = 0$.

20. Define the derivative of a function $f(x)$ from first principles.

    $$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}.$$

21. State the product rule and the quotient rule of differentiation.

    Product rule: $(uv)' = u'v + uv'$. Quotient rule: $\left(\dfrac{u}{v}\right)' = \dfrac{u'v - uv'}{v^{2}}$.

22. What is the Fundamental Theorem of Calculus?

    If $F$ is an antiderivative of a continuous function $f$ on $[a,b]$, then $$\int_{a}^{b} f(x)\,dx = F(b) - F(a).$$

23. State the chain rule for differentiating a composite function $y = f(g(x))$.

    $$\frac{dy}{dx} = f'(g(x)) \cdot g'(x), \quad\text{i.e.}\quad \frac{dy}{dx} = \frac{dy}{du}\cdot\frac{du}{dx}.$$

24. Give the Maclaurin series expansion of $e^{x}$.

    $$e^{x} = \sum_{n=0}^{\infty} \frac{x^{n}}{n!} = 1 + x + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + \cdots$$

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