Math 221 05, Calculus 1

(Adapted from a photo by Nikki Graziano at http://socks-studio.com/2010/09/17/found-functions-series-by-nikki-graziano/, part of the SOCKS project by Fosco Lucarelli and Mariabruna Fabrizi, licensed under a Creative Commons Attribution-ShareAlike 3.0 license.)

Welcome to Professor Baldwin’s Calculus 1 (more precisely, SUNY Geneseo’s Fall 2017 Math 221 05). This course included the following units and materials...

• Introduction
  • Syllabus
  • Aug. 28 — Introduction
  • Aug. 30 — Syllabus Review
• Limits
  • Aug. 31 — Preview
  • Problem Set 1.pdf
  • Sep. 1 — Informal Limits
  • Sep. 6 — Limit Laws
  • Sep. 7 — One-Sided Limits
  • Sep. 8 — Infinite Limits
  • Problem Set 2.pdf
    • Problem Set 2 Solution
  • Sep. 11 — Continuity
  • Sep. 13-14 — Formal Limits
  • Sep. 15 — The Squeeze Theorem
• Derivatives
  • Problem Set 3
  • Sep. 18 — Derivatives at a Point
  • Sep. 20 — Derivatives as Functions
  • Sep. 21-22 — Basic Differentiation Rules
  • Sep. 25-27 — The Product and Quotient Rules
  • Problem Set 4
  • Sep. 28 — Trigonometric Derivatives
  • Sep. 29 - Oct. 2 — The Chain Rule
  • Problem Set 5
  • Oct. 2-4 — Implicit Differentiation
• Applications of Derivatives
  • Oct. 6-12 — Related Rates
  • Problem Set 6
  • Oct. 13 — Linearization
  • Oct. 16-18 — Extrema
  • Oct. 18-19 — The Mean Value Theorem
  • Oct. 20 — The Shapes of Graphs
  • Problem Set 7
  • Oct. 23-25 — Limits at Infinity
  • Oct. 25 — Asymptotes
  • Oct. 26-30 — Optimization
  • Problem Set 8
• Integrals
  • Oct. 30 - Nov. 1 — Area by Riemann Sums
  • Nov. 3-6 — Definite Integrals
  • Problem Set 9
  • Nov. 8 — The Fundamental Theorem Part 1
  • Nov. 9 — More about the Fundamental Theorem
  • Nov. 10 — The Fundamental Theorem Part 2
  • Nov. 13 — Using Integration
  • Nov. 15-17 — Substitution
  • Problem Set 10
• Applications of Integrals
  • Nov. 20 — More about Area
  • Nov. 27 — Volume by Slicing
  • Problem Set 11
  • Nov. 29-30 — Volume by Washers
  • Dec. 1 — Volume by Shells
  • Dec. 4 — Volume by Shells: Examples
  • Dec. 6 — Arc Length
  • Dec. 7 — Mass and Density
  • Dec. 8 — Work
  • Dec. 11 — Work and Pumps
• Review
  • Dec. 12 — Review