What This Document Is
This document is a past exam for Math 128, Calculus II, administered at Washington University in St. Louis. It’s designed to assess student understanding of key concepts covered in the course, focusing on multi-variable calculus and related techniques. The exam consists of a series of problems requiring analytical and problem-solving skills. It’s a valuable resource for students preparing for their own Calculus II exams.
Why This Document Matters
This exam is particularly helpful for students currently enrolled in Calculus II, or those planning to take the course in the future. Reviewing past exams allows you to familiarize yourself with the typical question formats, the scope of topics tested, and the level of difficulty expected. It’s an excellent tool for self-assessment, helping you identify areas where your understanding is strong and areas needing further review. Utilizing this resource can significantly boost your confidence and improve your performance on upcoming assessments. It’s most beneficial when used *in conjunction* with course materials and practice problems.
Common Limitations or Challenges
While this exam provides a realistic assessment experience, it’s important to remember that it represents a specific instance of the course. The exact content and emphasis may vary in future iterations of Math 128. This document does *not* include detailed solutions or explanations; it’s purely a collection of problems. Therefore, it’s most effective when used by students who have a solid foundation in the course material and can independently attempt to solve the problems. It also doesn’t cover every single possible topic within Calculus II.
What This Document Provides
* A comprehensive set of problems covering core Calculus II concepts.
* Questions designed to test your understanding of topics like linear approximation.
* Problems involving optimization of multi-variable functions.
* Questions related to implicit differentiation and related rates.
* Problems assessing your knowledge of tangent planes and differentials.
* Questions exploring the chain rule in multiple dimensions.
* Problems involving homogeneous functions.
* Questions related to marginal rates of substitution.
* A feel for the exam format and time constraints of Math 128 at Washington University in St. Louis.
