What This Document Is
This document provides essential information for students preparing for Exam 1 in MATH 220, Calculus, at the University of Illinois at Urbana-Champaign. It’s a comprehensive overview designed to help you focus your study efforts and understand the scope of the assessment. This resource details the specific concepts and skills that will be evaluated on the exam, offering a roadmap for effective preparation.
Why This Document Matters
This guide is invaluable for any student enrolled in MATH 220 who wants to maximize their performance on Exam 1. It’s best utilized in the weeks leading up to the exam, serving as a central point of reference as you review lecture notes, homework assignments, and practice problems. Understanding the areas of emphasis outlined within will allow you to prioritize your study time and build confidence before the test.
Topics Covered
* Functions: Representation, properties (increasing/decreasing, even/odd), and basic graphs.
* Mathematical Modeling: Linear functions, intercepts, and applications.
* Function Transformations: Shifts, stretches, and reflections of graphs.
* Exponential Functions: Properties and applications.
* Inverse Functions & Logarithms: Definitions, properties, and relationships.
* Limits: Understanding and calculating limits, including infinite limits and the Squeeze Theorem.
* Continuity: Definition and the Intermediate Value Theorem.
* Derivatives: Definition, interpretation, and relationship to rates of change.
* Trigonometry: Unit circle, definitions, and key identities.
What This Document Provides
* A clear outline of the sections from the course textbook that will be assessed on the exam.
* References to relevant external resources, including online materials and previous course content.
* Specific problem sets from the textbook that are recommended for review.
* Guidance on the types of questions and concepts you can expect to encounter on the exam.
* Important logistical details regarding the exam itself, such as permitted materials and location.
