Math 221 03, Calculus 1

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Welcome to Professor Baldwin’s calculus 1 (or more formally, SUNY Geneseo’s spring 2019 Math 221 03, Calculus I). Use the links below to explore the course materials…

• Introduction
  • Representative Previous Grade Distribution
  • 01/23 - Introduction
  • 01/24 - Syllabus Review
  • 01/25 - Calculus Preview
• Limits
  • 01/28 - Informal Limits
  • Problem Set 1 - Limits
  • 01/30 - Limit Laws
  • 02/01 - Algebra and Limits
  • 02/04 - More Algebra and Limits
  • 02/06 - One-Sided Limits
  • Problem Set 2 - More Limits
  • 02/07 - Infinite Limits
  • 02/08 - Continuity
  • 02/11 - The Formal Definition of Limit
  • 02/13 - The Formal Definition of Limit Continued
• Derivatives
  • 02/14 - The Limit Definition of the Derivative
  • 02/15 - Differentiation Rules
  • Problem Set 3 - Introduction to Derivatives
  • 02/18 - The Product and Quotient Rules
  • 02/20 - The Squeeze Theorem
  • 02/21 - Trigonometric Derivatives
  • 02/22 - Practice with Trigonometric Derivatives
  • 02/25 - The Chain Rule
  • 02/27 - More about the Chain Rule
  • “Some Calculus Applications” Discussion
  • Problem Set 4 - Derivative Topics
  • 03/04 - Implicit Differentiation
  • 03/06 - Problem Set 4 Questions
  • 03/07 - Practice with Implicit Differentiation
  • Sample Exam 1
  • 03/08 - Implicit Differentiation and Inverses of Functions
• Applications of Derivatives
  • 03/13 - Related Rates
  • 03/14 - Related Rates
  • Problem Set 5 - Implicit Differentiation and Related Rates
  • 03/15 - Linear Approximation
  • 03/25 - Extreme Values
  • 03/27 - More about Extreme Values
  • 03/28 - Extreme Value Examples
  • Problem Set 6 - Derivative Applications 1
  • 03/29 - The Mean Value Theorem
  • 04/01 - Derivatives and Shapes of Graphs
  • 04/03 - More on Derivatives and Shapes of Graphs
  • 04/04 - Shape of Graphs Contest
  • 04/05 - End Behavior of Functions
  • 04/08 - More on End Behavior
  • Practice Test for Exam 2
  • 04/10 - Optimization
  • 04/12 - More Optimization
  • Problem Set 7 - Derivative Applications 2
• Integrals
  • 04/15 - Areas Under Curves
  • 04/18 - Review
  • Problem Set 8 - Sums
  • 04/19 - Definite Integrals
  • 04/22 - Definite Integrals as Riemann Sums
  • 04/24 - Properties of Definite Integrals
  • 04/25 - The Fundamental Theorem, Part 1
  • Problem Set 9 - Integration
  • 04/26 - The Fundamental Theorem, Part 2
  • 04/29 - Integration by Substitution
  • 05/01 - More Integration by Substitution
  • 05/02 - Substitution and Definite Integrals
• Applications of Integrals
  • 05/03 - Area
  • 05/06 - Area between Curves
  • 05/08 - Volume by Slicing
  • Practice Questions for Final