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 focuses on applying core calculus concepts to solve a variety of problems. The material is presented as a detailed walkthrough of each question from the original exam, offering a comprehensive look at problem-solving strategies.
Why This Document Matters
This resource is invaluable for students currently enrolled in Calculus II, or those preparing for similar exams. It’s particularly helpful for students who want to review challenging topics like applications of integration, differential equations, work problems, and integration techniques. Studying worked solutions can help identify areas where your understanding needs strengthening and provide insight into the expected format and difficulty level of exam questions. It’s best used *after* attempting the original exam or similar practice problems, to solidify your learning and understand where you may have gone wrong.
Common Limitations or Challenges
This document presents *solutions* to specific problems, but it does not offer a comprehensive review of the underlying calculus principles. It assumes a foundational understanding of the concepts and techniques covered in a standard Calculus II course. It will not teach you the material from scratch, nor does it include explanations of *why* certain methods are chosen – it focuses on the execution of those methods. Accessing this resource doesn’t guarantee success; it’s a study aid, not a substitute for active learning and practice.
What This Document Provides
* Detailed solutions to a range of Calculus II exam questions.
* Applications of integration to problems involving surface area, work, and fluid pressure.
* Solutions to separable differential equations with initial value problems.
* Examples of integration by parts and trigonometric substitution techniques.
* Worked examples covering a variety of integration problems, including trigonometric functions and logarithmic functions.
* A glimpse into the types of questions and problem-solving approaches commonly found on Calculus II exams at Washington University in St. Louis.
