What This Document Is
This is a comprehensive final exam for Calculus II (MATH 128) at Washington University in St. Louis, administered in Spring 2009. It’s designed to assess a student’s understanding of the core concepts covered throughout the semester. The exam format includes a mix of multiple-choice questions and more in-depth, hand-graded problems, requiring both computational skills and conceptual understanding. It covers a broad range of topics typically found in a second semester of calculus.
Why This Document Matters
This exam is an invaluable resource for students currently enrolled in Calculus II, or those preparing to take the course. It’s particularly useful for students wanting to gauge their preparedness for a high-stakes final assessment. Reviewing the *types* of questions asked – without seeing the solutions – can help identify areas needing further study. It’s also beneficial for instructors seeking examples of assessment questions for their own courses. Understanding the scope and style of questions on this exam can significantly improve study efficiency and reduce test-day anxiety.
Common Limitations or Challenges
This document represents a single past exam. While indicative of the course’s content and difficulty, it doesn’t encompass *every* possible topic or question style that might appear on a future exam. It also does not include detailed explanations or step-by-step solutions; it’s a test, not a tutorial. Relying solely on this exam for preparation is not recommended – it should be used in conjunction with coursework, textbooks, and other study materials.
What This Document Provides
* A full set of exam questions, including both multiple-choice and hand-graded problems.
* Coverage of key Calculus II topics, such as integration techniques, applications of integration, differential equations, and infinite series.
* An opportunity to assess understanding of concepts related to marginal cost functions and production functions.
* Practice with identifying and classifying critical points of multivariable functions.
* Exposure to problems requiring application of concepts like integrating factors and Cobb-Douglas production functions.
* A representative sample of the exam’s format and length.
