What This Document Is
This is a digitized collection of solutions from a past Calculus II (MATH 132) exam administered at Washington University in St. Louis during the Fall 2014 semester. It’s designed as a resource for students looking to review their understanding of key concepts covered in the course, specifically around the time of Exam III. The material focuses on applying theoretical knowledge to solve a variety of problems.
Why This Document Matters
This resource is particularly valuable for students preparing for their own Calculus II exams, or those seeking to solidify their grasp of integral calculus, sequences and series. It’s ideal for identifying areas where your understanding might be weak and for observing different approaches to problem-solving. Studying worked examples can be a powerful learning tool, helping you to recognize patterns and refine your own techniques. It’s best used *after* you’ve attempted similar problems on your own, as a way to check your work and understand alternative solution paths.
Common Limitations or Challenges
This document presents completed solutions; it does not offer step-by-step explanations of *how* those solutions were reached. It assumes a foundational understanding of Calculus II principles. It also focuses solely on the specific questions from this one past exam, and may not be fully representative of all possible exam questions or topics. Accessing the full document is necessary to see the detailed workings and reasoning behind each answer.
What This Document Provides
* A collection of fully solved problems covering topics such as inverse hyperbolic functions and integration techniques.
* Analysis of sequences and series, including determining convergence or divergence.
* Applications of the ratio and root tests for series convergence.
* Problems involving geometric series and decimal representations.
* Discussion of integral test remainder estimates.
* Questions designed to test understanding of absolute and conditional convergence of alternating series.
* A range of multiple-choice questions with associated solutions.
