What This Document Is
This is a key for a Calculus I (MATH 131) exam administered at Washington University in St. Louis during the Fall 2005 semester. It represents a comprehensive assessment of core calculus concepts covered in the course up to the third exam. The document details both multiple-choice and hand-graded problems, offering a detailed record of the expected solutions and grading criteria. It’s a valuable resource for understanding the scope and difficulty of past exams in this specific course.
Why This Document Matters
This exam key is particularly useful for students currently enrolled in MATH 131 at Washington University in St. Louis, or those taking a similar Calculus I course at another institution. It’s ideal for students preparing for their own exams, seeking to identify areas where their understanding may be weak, and wanting to understand the professor’s expectations regarding problem-solving and presentation of work. Reviewing this key can help refine study strategies and improve exam performance. It’s most effective *after* attempting similar problems independently.
Common Limitations or Challenges
While this key provides a record of a past exam, it’s important to remember that course content and exam focus can shift over time. This key does *not* include the original exam questions themselves, only the solutions. Therefore, it cannot be used as a practice exam. Furthermore, simply viewing the solutions without attempting the problems first will likely be of limited benefit. The detailed steps and reasoning behind each answer are not provided here.
What This Document Provides
* A record of the topics assessed on a past MATH 131 Exam 3.
* Identification of key concepts related to limits, maximum/minimum values of functions, critical points, and antiderivatives.
* Insight into the types of problems (multiple choice and hand-graded) included on the exam.
* Examples of questions relating to function analysis, including increasing/decreasing intervals and concavity.
* A glimpse into the application of calculus principles to problem-solving.
* Information regarding optimization problems and finding the smallest possible sum given a constraint.
* Examples of questions involving asymptotes of functions.
