What This Document Is
This is a key for a Calculus I midterm exam (Exam II) administered at the University of Illinois at Urbana-Champaign. It provides a detailed record of the questions and structure of a specific past exam, designed to assess student understanding of core calculus concepts. The document includes identification of discussion sections and instructors.
Why This Document Matters
This resource is invaluable for students currently enrolled in Calculus I (MATH 221) at UIUC, or those studying similar material at other institutions. It’s particularly helpful for exam preparation, allowing students to familiarize themselves with the typical format, question types, and point distribution of assessments. Reviewing a past exam key can help identify areas where further study is needed and build confidence before a new exam. It’s best used *after* initial study of course material and practice problem-solving.
Topics Covered
* Implicit Differentiation
* Exponential Decay & Radioactive Material Problems
* Inverse Trigonometric Functions (arccosh, arcsin, arccos)
* Limit Calculations (including indeterminate forms)
* Asymptotes (vertical, horizontal, and slant)
* Optimization and Critical Points
* Inflection Points
* Related Rates (implied by function analysis)
* Geometric Applications (volume optimization within spheres and cylinders)
What This Document Provides
* A complete record of the questions from a past Calculus I midterm.
* An overview of the exam’s structure, including point values for each question.
* Identification of discussion sections and associated instructors.
* A reference point for understanding the expected level of rigor and problem-solving skills assessed in the course.
* A formula sheet included with the original exam.
