What This Document Is
This document is a third examination for Math 128, Calculus II, at Washington University in St. Louis. It’s designed to assess student understanding of core concepts covered in the course up to this point in the semester. The exam format includes a combination of multiple-choice and hand-graded problems, requiring both recognition of key principles and the ability to demonstrate problem-solving skills. It covers topics typically found within a second semester of calculus coursework.
Why This Document Matters
This exam is invaluable for students currently enrolled in Calculus II at Washington University in St. Louis, or those studying similar material at other institutions. It serves as a critical self-assessment tool to gauge preparedness for graded assessments. Reviewing the *types* of questions asked – even without the solutions – can highlight areas needing further study. It’s most beneficial when used in conjunction with course notes, textbooks, and practice problems completed throughout the semester. Understanding the scope and style of questions asked by your instructor is a key component of exam success.
Common Limitations or Challenges
This document *only* presents the exam questions themselves. It does not include detailed solutions, step-by-step explanations, or worked examples. It is a snapshot of the assessment, not a complete learning resource. Students should not rely on this exam as their sole method of preparation; it’s intended to supplement, not replace, comprehensive study. The exam assumes prior knowledge of foundational calculus concepts.
What This Document Provides
* A set of multiple-choice questions testing conceptual understanding.
* Hand-graded problems requiring detailed mathematical work.
* Questions relating to differential equations and their applications (modeling real-world scenarios).
* Problems involving techniques for solving initial value problems.
* Questions assessing knowledge of Taylor polynomials and series representations of functions.
* Problems focused on convergence and divergence of series.
* Application-based questions involving financial mathematics (perpetuities).
* Questions related to approximating solutions using numerical methods (Euler’s method).
