What This Document Is
This document is a mathematical review specifically designed to prepare students for the demands of Intermediate Microeconomics (ECON 3030) at Cornell University. It focuses on the foundational rules of differentiation, a core mathematical skill essential for understanding economic models and analysis. The review doesn’t teach calculus from first principles, but rather provides a refresher on the techniques most frequently used in the course.
Why This Document Matters
This review is crucial for students who may be unfamiliar with, or need to refresh their knowledge of, differential calculus. A strong grasp of these concepts is vital for successfully navigating the mathematical components of ECON 3030, including understanding marginal analysis, optimization problems, and elasticity. It serves as a bridge between foundational math skills and their application within an economic context. Students will benefit from reviewing this material *before* or *during* the early stages of the course.
Common Limitations or Challenges
This document is a *review* and assumes some prior exposure to calculus. It does not provide a comprehensive introduction to calculus concepts. Students without any prior calculus background will likely need additional resources to fully grasp the material. Furthermore, while the review covers essential rules, it doesn’t delve into advanced differentiation techniques or applications beyond those directly relevant to intermediate microeconomics.
What This Document Provides
The full document includes:
* An introduction to the concept of derivatives as a measure of change.
* A detailed explanation of the power function rule, sum-difference rule, product rule, and quotient rule for differentiation.
* Coverage of the chain rule and its application.
* An overview of the derivative of logarithmic functions (both natural and general base).
* A discussion of the derivative of inverse functions.
* Illustrative examples for each rule.
This preview only provides a glimpse into the introductory concepts and the initial rules of differentiation. It does *not* include the complete explanations, examples, or coverage of logarithmic and inverse function derivatives found in the full document.
