What This Document Is
This document is a comprehensive final exam for Math 128, Calculus II, as administered at Washington University in St. Louis during the Fall 2009 semester. It’s designed to assess a student’s understanding of the core concepts covered throughout the course, serving as a culminating evaluation of their mathematical proficiency. The exam focuses on a variety of advanced calculus topics and problem-solving techniques.
Why This Document Matters
This resource is invaluable for students currently enrolled in Calculus II, or those preparing to take the course in the future. It’s particularly useful for students seeking to gauge their preparedness for a high-stakes final exam environment. Reviewing the *types* of questions asked can help identify areas needing further study and refine test-taking strategies. It’s also beneficial for instructors looking for examples of assessment questions aligned with a standard Calculus II curriculum. Utilizing this exam as a practice tool can significantly boost confidence and improve performance.
Common Limitations or Challenges
Please note that this document presents the exam questions themselves, but does *not* include detailed solutions or step-by-step explanations. It is intended as a practice and assessment tool, not a substitute for thorough understanding of the course material. Successfully navigating this exam requires a solid foundation in Calculus II principles and the ability to apply those principles independently. The exam reflects the specific content emphasis of the Fall 2009 course at Washington University in St. Louis, and may vary slightly from other iterations.
What This Document Provides
* A full set of exam questions covering key Calculus II topics.
* A variety of question formats, including multiple-choice problems.
* Problems relating to curves, tangent lines, and surface planes.
* Questions focused on optimization and stationary points of functions.
* Problems involving linear programming and maximization/minimization techniques.
* Questions testing understanding of homogenous functions.
* Problems requiring application of linear approximation.
* A representative sample of the difficulty level expected in a university-level Calculus II final exam.
