AI Summary
[DOCUMENT_TYPE: exam_prep]
**What This Document Is**
This is a past intermediate examination for Math 128, Calculus II, at Washington University in St. Louis, administered in Spring 2009. It’s designed to assess a student’s understanding of core concepts covered in the second portion of the course, building upon the foundations established in Calculus I. The exam focuses on a range of topics within differential equations and related applications. It combines multiple-choice questions with more in-depth, hand-graded problems requiring detailed solutions.
**Why This Document Matters**
This resource is invaluable for students currently enrolled in Calculus II, or those preparing to take the course. It’s particularly useful for self-assessment, identifying areas of strength and weakness, and familiarizing yourself with the typical format and difficulty level of exams at Washington University in St. Louis. Studying past exams is a proven method for improving test-taking strategies and building confidence. It can also be helpful for instructors looking for examples of assessment questions.
**Common Limitations or Challenges**
While this exam provides a strong indication of the course’s expectations, it represents a specific instance in time. The exact content and emphasis may vary in subsequent semesters. This document does *not* include detailed explanations of the solutions, nor does it offer step-by-step guidance on how to approach each problem. It is a test, not a tutorial. Access to the full document is required to view the complete questions and solutions.
**What This Document Provides**
* A complete, previously administered Calculus II midterm exam.
* A mix of multiple-choice and hand-graded problems.
* Questions covering topics such as separable differential equations.
* Problems relating to integrating factors and linear differential equations.
* Applications of differential equations to real-world scenarios, like population modeling and mixing problems.
* Practice with Euler’s method for approximating solutions.
* Questions involving continuous compounding and withdrawal rates.
* Insight into the expected problem-solving skills for the course.