SUMMARY
At the University of Toronto, first-year math courses such as MAT135 and MAT137 typically have class sizes ranging from 400 to 500 students, while MAT157, an Analysis I course, has about 50 to 100 students, with many dropping out by the first midterm. The discussion highlights that students often struggle due to a lack of confidence and study habits, particularly when faced with proof-based mathematics. Recommended resources for success in MAT157 include Velleman's "How to Prove It" and Spivak's "Calculus." Overall, class sizes decrease significantly in upper years, with advanced courses having as few as 15 students.
PREREQUISITES
- Understanding of proof-based mathematics
- Familiarity with calculus concepts
- Knowledge of mathematical analysis
- Study skills for large lecture environments
NEXT STEPS
- Research Velleman's "How to Prove It" for foundational proof techniques
- Explore Spivak's "Calculus" for a deeper understanding of calculus concepts
- Investigate strategies for succeeding in large university courses
- Learn about the structure of advanced math courses such as algebraic topology and mathematical logic
USEFUL FOR
First-year math students at the University of Toronto, prospective students considering math courses, and educators looking to understand class dynamics in large lecture settings.