The purpose of this collection of problems is to serve as a supplementary learning resource for students who are taking a differential calculus course at Simon Fraser University, Burnaby, BC, Canada. The collection contains problems posed at Math 151 - Calculus I and Math 150 - Calculus I With Review final examinations from 2000 to 2020. The problems are sorted by topic and most of them are accompanied with hints or solutions. Both courses, Math 150 and Math 151, are designed for students enrolled in one of Simon Fraser University's science (mathematics, physics, statistics, chemistry, earth sciences) or applied science (engineering, computing science) programs.
Although all of the problems contained in this collection have been used, some of them multiple times, as final examination questions, their levels of difficulty may vary significantly from each other. The process of composing a final examination is never simple. The process is largely determined by institutionally prescribed course outcomes. The process also reflects individual instructors' goals of holding a fair and balanced examination that can serve as an objective tool for determining the level of each student's knowledge.
The last chapter in this collection contains a detailed list of recommendations to all students who are thinking about their well-being, learning, goals, and who want to be successful academically.
The authors are thankful to students Aparna Agarwal, Jana Caine, Nazli Jelveh, Brian Li, Ha Thu Nguyen, Geoffrey Nonis, Daniel Sloseris, Eli Stockie, and Michael Wong for their help.
No project such as this can be free from errors and incompleteness. The authors would be grateful to everyone who points out any typos, errors, or sends any other suggestion on how to improve this manuscript.
