What This Document Is
This is a review package designed to prepare students for the first quiz in MIT’s 18.515 Mathematical Logic course. It was created by the UBC Engineering Undergraduate Society (EUS) and contains 37 practice questions covering foundational mathematical concepts. The questions are sourced from standard calculus textbooks and are ranked by difficulty – easy (*), medium (**), and difficult (***).
Why This Document Matters
This review is valuable for students enrolled in Mathematical Logic who want to solidify their prerequisite skills. It’s particularly useful for those needing a refresher on high school-level mathematics before tackling the more abstract concepts of logic. The package aims to mirror the style and difficulty of actual exam questions, providing targeted practice. It’s intended as a self-assessment tool to identify areas needing further study.
Common Limitations or Challenges
This package is *not* a substitute for attending lectures or completing assigned readings in the course. It focuses on reviewing foundational material and does not cover the core concepts of mathematical logic itself. While solutions are available (linked within the document), the package is designed for independent problem-solving first. The difficulty ranking is subjective, and some problems may present challenges regardless of their assigned level.
What This Document Provides
The full review package includes:
* 37 practice questions spanning algebra, trigonometry, logarithms, functions, and limits.
* Difficulty ratings for each question (*, **, ***).
* A list of source textbooks used in creating the problems (Schuam’s Outline of Calculus, Stewart’s Calculus, Spivak’s Calculus, Apostol’s Calculus).
* A note emphasizing the usefulness of memorizing standard trigonometric values.
* The first 13 problems focus on high school review material.
* Contact information for EUS tutoring support and involvement opportunities.
This preview only shows the first 13 questions, covering basic algebraic manipulations, trigonometric evaluations, logarithmic solutions, and introductory limit problems. It does *not* include the solutions, the more challenging problems, or the full list of source materials.
