Mathematical Methods 1 introduces students to essential quantitative techniques, focusing on univariate mathematical analysis and linear algebra. These foundational skills are critical for further study in macroeconomics, microeconomics, and econometrics, providing the mathematical underpinnings for core economic models. The course develops problem-solving abilities and analytical skills needed for advanced research in economics.

Synchronous:

Lectures : 6 hours per week in teaching weeks 1-2; 2 hours per week in teaching weeks 3-4; no lectures in teaching weeks 5-8; and 2 hours per week in teaching weeks 9-10.

Tutorials: 1 hour per week in weeks 2-5 and week 10

Asynchronous:

Set of exercises (approximately 20 hours) that will include both theoretical, derivational, and applied type of questions with the corresponding solution guides.

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The aims of the course are to:

1. Equip students with fundamental mathematical skills in univariate calculus and linear algebra.

2. Prepare students for advanced study in economics by developing their analytical problem-solving capabilities.

3. Lay the groundwork for more advanced mathematical techniques required for macroeconomic and econometric analysis.

4. Foster an understanding of how these mathematical tools apply to economic theory and empirical research.

By the end of this course students will be able to:

1. Apply advanced techniques in univariate mathematical analysis, including differential calculus and limits, to solve theoretical problems relevant to economic models.

2. Utilize linear algebra methods, including matrix operations, to analyse and manipulate mathematical structures commonly used in economic theory.

3. Demonstrate logical reasoning and the ability to prove mathematical statements related to mathematical analysis and linear algebra, fostering critical thinking and rigor needed for advanced economic reasoning.

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.