Math 780: Calculus and Probability

Welcome! You have found the homepage of the Fall 2024 manifestation of Math 780.

Schedule

Quizzes are distributed through gradescope.

Timeframe Topic Resources
Week 0 Welcome!
Week 1 Lines
Trig
Week 2 Exponential and Power Functions
Inverse Functions
Week 3 Limits and Continuity
The Derivative
Week 4 The Chain Rule
Product, Quotient, and Trig Rules
Week 5 Approximations and Concavity
Implicit Differentiation ⟵ covered in week 6
Week 6 Related Rates
Optimization
Week 7-8 L'Hopital's Rule
The Definite Integral
Week 9 The Fundamental Theorem of Calculus
u-Substitution
Week 10 Integration by Parts
Improper Integrals
Week 11 Probability Distributions
Expected Value
Week 12 Cumulative Distribution Functions
Week 13-14 Variance
Named Distributions