What This Document Is
This document contains worked solutions to a Calculus II (MATH 132) exam administered at Washington University in St. Louis during the Fall 2011 semester. It’s designed as a resource for students looking to review their understanding of key concepts covered in the course, specifically as assessed on Exam 2. The material focuses on applying calculus principles to solve a variety of problems.
Why This Document Matters
This resource is particularly valuable for students who have already attempted the exam and are seeking to pinpoint areas where they struggled. It’s also helpful for students preparing for future exams, as it provides insight into the types of questions and problem-solving approaches commonly used by the instructor. Studying detailed solutions can reinforce understanding of core concepts and improve exam performance. It’s best used *after* independent problem-solving attempts to maximize learning.
Common Limitations or Challenges
This document focuses *solely* on the solutions to a specific past exam. It does not include explanations of the underlying concepts, lecture notes, or additional practice problems. It assumes a foundational understanding of Calculus II topics. Simply reviewing the solutions without first attempting the problems yourself will likely be less effective. This resource will not substitute for attending lectures, completing homework assignments, or seeking help from a professor or teaching assistant.
What This Document Provides
* Detailed, step-by-step solutions to each question on the Fall 2011 MATH 132 Exam 2.
* Coverage of a range of Calculus II topics, including applications of integration (arc length, surface area, work), techniques of integration, and differential equations.
* Solutions addressing problems involving curves, volumes of revolution, work calculations, and modeling with differential equations.
* Solutions to problems involving applications of integration to physical scenarios like spring compression and pumping liquids.
* Solutions to problems involving separable differential equations and related rates.