Click to apply now for the Summer Program at MDAE

## Course Curriculum

### Mathematics

Students will learn concepts of mathematics that are most useful for understanding higher-level (i.e., quantitative aspects of) economics and finance. These concepts are as follows: Univariate calculus:

- what is a univariate function?
- how does one compute the limit of a univariate function?
- how does one compute the derivative of a univariate function?
- how does one compute the maximum and minimum of a univariate function?

Multivariate calculus:

- what is a multivariate function?
- how does one compute the partial derivatives of a multivariate function?
- how does one compute the maximum and minimum of a multivariate function?

Analytic/Coordinate geometry:

- How does one represent a straight line in equation form?
- How does one compute the intersection point between two straight lines?

Linear Algebra:

- How does one write a system of linear equations in matrix form?
- How does one solve such a system?

Miscellaneous topics:

- What are the log and exponential functions?
- How does one go from an equation in levels to an equation in rates of change?

Applications to Micro and Macro Economics:

- what are some of the applications of the above concepts in economics?

### Statistics

Students will learn concepts of statistics that are most useful for understanding higher-level (i.e., quantitative aspects of) economics and finance. These concepts are as follows: Random variables:

- What is a random variable?
- How does one distinguish between discrete and continuous random variables?
- What is a probability mass function?
- What is a probability distribution function?
- How does one compute the mean and variance of a random variable?
- What are some of the standard distribution functions used in economics and finance?

Jointly distributed random variables:

- What are joint and marginal distributions?
- What is the conditional probability distribution function?
- How does one compute the mean and variance of a conditional probability distribution function?
- What is a regression equation?
- How does one compute the correlation for a regression function?

Hypothesis testing:

- How does one test statistical hypothesis?
- How does one compute confidence intervals?
- What are some of the common distribution functions used in hypothesis testing?

Ordinary Least Squares (OLS) Estimation:

- How does one run OLS regressions?
- What purpose do OLS regressions serve?

Using R for statistical analysis:

- How does one implement the above concepts using a program like R?

Applications to Micro and Macro Economics:

- What are some of the applications of the above concepts in economics and finance?

**Duration and Structure**

There will be 24 hours of teaching per course – 48 Hours Total Lectures will be held thrice a week and we will have 3 hours of lectures every day. Total Duration – 5 weeks Course Dates – **22****rd May to 28th**** June** (Tentative) **Who can apply?** Students in their second or third year of graduation Students must have secured a minimum 50% in their 12th standard **Venue** Meghnad Desai Academy, 12th Floor, Centre 1 Building, Cuffe Parade, Mumbai – 40005 **Fees** **Rs. 24,000 plus applicable taxes ** For more information, please write to info@meghnaddesaiacademy.org or call 022 60126001