What This Document Is
This is a past in-term exam for Calculus II (MATH 128) at Washington University in St. Louis, administered in Fall 2007. It’s designed to assess student understanding of core concepts covered in the course, specifically focusing on differential equations and applications of calculus to various scientific fields. The exam consists of a mix of multiple-choice and hand-graded problems, testing both computational skills and conceptual grasp of the material.
Why This Document Matters
This resource is invaluable for students currently enrolled in a similar Calculus II course, or those preparing for an upcoming exam. It provides a realistic assessment experience, allowing you to gauge your preparedness and identify areas needing further study. Working through practice problems – even without the solutions – helps build confidence and familiarity with the exam format. It’s particularly useful for students in life sciences, social sciences, or managerial sciences where calculus serves as a foundational tool.
Common Limitations or Challenges
Please note that this is a past exam and may not perfectly reflect the specific content or emphasis of your current course. The topics covered are representative of a standard Calculus II curriculum, but the precise weighting of each topic may differ. This document *does not* include worked solutions or explanations; it is purely an assessment tool. It’s intended to be used *in conjunction* with your course materials and instructor’s guidance.
What This Document Provides
* A comprehensive set of problems covering differential equations (including initial value problems and constant solutions).
* Questions relating to modeling real-world scenarios using differential equations (e.g., population growth, financial modeling).
* Problems testing understanding of concepts like carrying capacity and intrinsic growth rates.
* Practice with approximation techniques, such as Euler’s method.
* Questions assessing knowledge of Taylor polynomials and their applications to function approximation and integration.
* A variety of problem types, including multiple-choice questions and problems requiring detailed, hand-graded solutions.
