What This Document Is
These are detailed class notes taken during a University of California, Berkeley Econ 2 (Introductory Economics) section, focusing on foundational mathematical concepts essential for economic reasoning. The notes expand upon lecture material and delve into the rigorous application of proof techniques and relational structures. This resource is designed to supplement core course lectures and provide a deeper understanding of the analytical tools used in economics.
Why This Document Matters
This document is invaluable for students in introductory economics courses who want to strengthen their mathematical foundation and improve their ability to construct and evaluate economic arguments. It’s particularly helpful when tackling problem sets or preparing for exams that require precise logical reasoning. Students who find themselves needing extra practice with formal proofs or a more detailed explanation of key definitions will find these notes exceptionally useful. Accessing these notes can help solidify understanding of core concepts and build confidence in applying them.
Topics Covered
* Methods of Mathematical Proof (Deduction, Contraposition, Induction, Contradiction)
* Binary Relations and Equivalence Relations
* Convergence of Sequences of Real Numbers
* Cardinality and Numerical Equivalence
* Application of definitions and theorems to economic scenarios
What This Document Provides
* A structured overview of various proof methodologies, outlining the logical steps involved in each.
* Detailed explanations of key definitions related to mathematical relationships.
* A foundation for understanding the formal mathematical underpinnings of economic models.
* A resource for clarifying concepts presented in lectures and textbooks.
* A series of examples illustrating the application of these concepts (detailed solutions are contained within the full document).
