What This Document Is
This document is an examination from a Calculus II course (MATH 128) at Washington University in St. Louis, specifically Examination Number Three from Spring 2009. It’s a comprehensive assessment designed to evaluate a student’s understanding of key concepts covered in the course up to that point in the semester. The exam format includes both multiple-choice questions and hand-graded problems, requiring a blend of conceptual knowledge and problem-solving skills.
Why This Document Matters
This resource is invaluable for students currently enrolled in a similar Calculus II course, or those preparing to take one. It’s particularly helpful for understanding the *types* of questions and the level of difficulty to expect on exams. Reviewing this exam can help students identify areas where their understanding might be weak and focus their study efforts accordingly. It’s also a useful tool for practicing time management under exam conditions. Students who have completed similar coursework can use this to refresh their knowledge of important calculus concepts.
Common Limitations or Challenges
Please note that this document represents a *past* exam. While the core concepts of Calculus II remain consistent, specific topics emphasized and the exact questions asked may vary in current courses. This resource does not include detailed solutions or explanations; it is intended as a practice tool, not a substitute for understanding the underlying material. It also doesn’t cover all possible Calculus II topics – it’s a snapshot of one particular assessment.
What This Document Provides
* A full copy of a previously administered Calculus II midterm exam.
* A mix of multiple-choice and free-response questions.
* Questions covering topics such as Lagrange multipliers and optimization.
* Problems relating to finding equations of lines using least-squares methods.
* Questions assessing understanding of Taylor polynomials and series representations of functions.
* Problems focused on convergence and divergence of infinite series.
* Applications of geometric series to real-world scenarios (like economic modeling).
* Questions testing understanding of comparison tests for series convergence.
* A clear indication of the point value assigned to each question type.
