CC 301: Analysis

Contents
The course “Analysis” introduces the most important mathematical methods necessary to solve optimization problems.

• Propositional logic
• Sets, relations, functions
• Functions of multiple variables and their characteristics (functional limits, continuity, differentiability, partial derivatives)
• Mathematical tools (chain rules, contour lines, implicit differentiation, approximations, homogeneous functions, differentials)
• Multivariate optimization without constraints
• Multivariate optimization under constraints

Learning outcomes
Students have an intuitive understanding about characteristics of relations and (multivariate) functions and can use the above-mentioned mathematical tools. Particularly, they are able to solve and graphically interpret multivariate optimization problems with and without constraints. Students understand and are able to explain what the learned methods are needed for as well as why, when and how they work.

Necessary prerequisites
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Recommended prerequisites
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Examiner Performing lecturer

Steffen Habermalz, Ph.D. Steffen Habermalz, Ph.D.