MA economics 2020 form will be released from which month and give an idea for entrance exam how we can crack this exam and give some hints about syllabus .

The DSE MA economics entrance exam usually is held in the second or third week of June. The form filling process will start around January only. Stay tuned with the official website.

Now, coming to your next question, I'll answer it together ie the syllabus, the books needed and the way to approach them..

Probability - Best book to prepare for it is Joe Blitzein & Jessica Hwang . Reason for recommending is that a lot of previous year questions are picked these book . Also it is followed by Amit Goyal in coaching . It is hard book but will take your problem solving skills to another level .Do only first 5 chapters from it . List of topics you must know are permutation & combinations , Conditional probabilty which includes gambler ruin problem , first step analysis , monty hall .CDF & PDF Questions on distribution like Bernoulli , binomial , geometric , negative binomial , hyper geometric distribution , normal , exponential and questions on their mean & variance . Linearity of expectation ,Conditional expectation and variance . Co variance ,correlation , joint distribution . Cauchy Schwartz , Jensen’s Inequality , Markov Inequality , Chebyshev inequality. This can be used for ISI preparation also. Don’t solve each and every question ( just do 20% of back questions because it is too tough ).

Statistical Inference - Topics to know are central limit theorem , law of large numbers , method of moments , maximum likelihood , Mean squared error , confidence interval - cases like sigma is known and unknown , CI for proportion , difference in means , , hypothesis testing- How to check one sided and 2 sided hypothesis , calculating type 1 error and type 2 error or power of test. Just need to know the basics.

Book that can be used is Alex Mood & Greybill.

Econometrics - Use Basic Econometrics by Damodar Gujarati . There are many books by Gujarati but follow the book with title Basic econometrics . Reason for recommending this book is almost all questions asked in past years are from this book . Moreover it is followed in DSE also . You will easily find this book along with solutions online. Solve upto specification error ( I guess it is chapter-13 ).

Maths - It can be divided in 3 sections .

Linear Algebra - See only first 10 lectures . Follow Book introduction to linear algebra by Gilbert Strang . Only do portions covered in first 10 lectures

Real Analysis

Topics to know Logic , Set theory , Convergence, Divergence , Open sets , closed sets , metric spaces- definition and properties ,open neighborhoods , convex sets , concavity , convexity , quasi convex and quasi concave.

Calculus

Functions- Domain & Range , functional equations , one one & onto functions , inverse functions , limits , continuity , intermediate value theorem , Rolle’s Theorem , Maxima and minima in single & multivariable , constrained optimization . Pick some JEE Mains book ( ignore trigonometry may be Arihant) , Definiteness ( Use Simon & Blume)

Introduction to Logic

You can do this course for fundamental understanding . It is somewhat required.

Microeconomics

It can divided into 4 parts

• Consumer Theory

1 Given utility function , solve for different price level of good

2 . Calculation of substitution effect and income effect using slutsky and hicksian approach.

3 Solve for Pareto efficiency and competitive equilibrium in case 2 consumers for different set of utility function ( very important atleast 4 questions in DSE come from this topic )

4 . First and Second Welfare Theorem . Utility Possibility frontier

• Production Theory - Given various production function calculation of cost function , supply function , conditional demand function for inputs ( both in short run and long run ). Calculation of cost function in case of some input being fixed , concept of sunk cost , fixed cost
• Markets - Profit maximization in case of competitive markets , monopoly , calculation of price and qty in short run and long run equilibrium in both markets , price discrimination - 1 st degree , 2 nd degree and 3 rd degree
• Revealed Preferance Theory - Ch-1 Mas Collel Whinston & Green

Reference - Hal Varian Workbook .Some videos on youtube by Amit Goyal are good for general equilibrum

• Game Theory- concept and application of strong , weak dominated strategy , Nash equilibrium , Nash equilibrium outcome ,best response function , backward induction , subgame , subgame perfect equilibrium , Bertrand , Cournet , Stackelberg , Bayesian Games.