Midterm examination
Coverage: Lectures 1–7
Duration: 120 minutes
Weight: 20%
Structure
- Epsilon-delta limit or continuity proof.
- Sequence or series convergence argument.
- Differentiation and mean value theorem application.
- Taylor approximation and single-variable optimization.
- Definite or improper integration.
- Multivariable limit, partial derivative, or chain-rule calculation.
Evaluation criteria
Correct definitions and assumptions; valid derivations; logical structure; accurate calculations; interpretation where relevant.
Final examination
Coverage: Lectures 8–14, with cumulative concepts from earlier lectures
Duration: 180 minutes
Weight: 25%
Structure
- Hessian classification and unconstrained optimization.
- Lagrange multiplier problem with economic interpretation.
- KKT problem with active constraints and complementary slackness.
- Implicit-function comparative statics.
- Multiple integral and Jacobian transformation.
- Differential-equation steady state and local stability.
- Difference-equation fixed point and dynamic stability.
Evaluation criteria
Correct formulation; explicit regularity and constraint assumptions; mathematically valid solution; interpretation of multipliers and stability; clear notation.
Examination policy
Students must show intermediate steps. Unsupported final answers receive limited credit. Numerical computation may be used only where explicitly permitted and must not replace required analytical reasoning.