Panhellenic Economics & Informatics study plan

Derive and interpret own-price, cross-price and income elasticities from a demand function, then classify goods by sign and magnitude

Solve utility-maximization problems by Lagrange multiplier and verify the second-order condition for a regular interior optimum

Compute substitution and income effects for Cobb-Douglas and quasi-linear preferences and state which dominates for each

Draw and label cost curves (TC, AVC, MC) from a short-run production function and identify the shutdown threshold

Contrast perfect competition, monopoly and Cournot duopoly equilibria on the same demand curve and quantify the deadweight loss in each

Derive a firm's short-run supply curve from marginal cost and aggregate it across firms to obtain market supply

Explain how adverse selection and moral hazard change equilibrium outcomes relative to the symmetric-information benchmark

Evaluate the welfare effect of a per-unit tax or a price ceiling using consumer and producer surplus

Construct the goods-market IS relation and the money-market LM relation algebraically and solve for equilibrium output and interest rate

Distinguish the multiplier under a lump-sum tax from the multiplier under a proportional income tax and compute both

Trace the short-run and long-run effects of a fiscal expansion in a small open economy with perfect capital mobility

Derive and interpret the Phillips curve and the sacrifice ratio in a disinflation episode

Derive the Solow growth model steady state and compute the effect of a change in the saving rate on steady-state capital and output per worker

Compare GDP, GNP and real versus nominal measures and compute a deflator and an inflation rate from a small price-quantity table

Compute and interpret a confidence interval and a one-sample hypothesis test for a mean with known and unknown variance

Explain what a p-value does and does not state, and identify the error in three common misinterpretations

Estimate a simple and a multiple OLS regression by hand on a small dataset and verify the fitted values sum to the observed mean of the dependent variable

State the Gauss-Markov assumptions and diagnose which one is violated in each of four described scenarios

Interpret standard errors, t-statistics, R-squared and adjusted R-squared from a regression output table

Explain the consequences of heteroskedasticity and of an omitted variable, and name one remedy for each

Convert between binary, decimal and hexadecimal and perform two's-complement arithmetic on signed integers

Trace the execution of a recursive function and a simple sorting algorithm step by step, stating the time complexity of each

Implement a stack, a queue and a hash-table lookup from scratch and explain the collision-resolution strategy chosen

Describe how a process, a thread and virtual memory relate, and explain what a context switch preserves

Write correct SQL queries using joins, GROUP BY with HAVING, and a correlated subquery against a small schema

Normalize a given relation to third normal form and justify each decomposition step by the functional dependency removed

Explain the ACID properties and identify which one is violated by each of three described failure scenarios

Compare a B-tree index with a hash index and state which query patterns each accelerates

Set up and solve a linear program graphically and state the shadow price of each binding constraint

Apply a discounting or net-present-value calculation to compare two investment projects and state the decision rule used

Complete two full timed mock exams under exam conditions and score each by domain

Rank your weakest three domains from the mock results and write a targeted revision list for each