Math 221 02, Calculus 1

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Welcome to Prof. Baldwin’s Calculus 1 (or more precisely, SUNY Geneseo’s fall 2020 Math 221 02). Use the buttons below to access the main elements of this course.

• Introduction
  • Syllabus
  • Textbook
  • Antiderivative Rules
  • 08/31 - Policies and Practices Introduction
  • Policies and Practices Discussion
  • 09/02 - Policies and Practices Summary
  • Calculus Concepts Discussion
  • 09/03 - Calculus Concepts Summary
• Limits
  • Topic: The Intuitive Idea of a Limit
    • Intuitive Limits Discussion
    • 09/04 - Intuitive Limits Summary
    • Problem Set 1 - Limits
  • Topic: Finding Limits Algebraically
    • Limit Laws Discussion
    • 09/09 - Limit Laws Summary and Reading Math
    • Algebraic Limits Discussion
    • 09/10 - Finding Limits via Laws and Algebra Summary
    • 09/11 - More Algebra for Finding Limits
    • Problem Set 2 - More Limits
  • Topic: One-Sided Limits
    • One-Side Limits Discussion
    • 09/14 - One-Sided Limits Summary
  • Topic: Infinite Limits
    • Infinite Limits Discussion
    • 09/16 - Infinite Limits Summary
  • Topic: Continuity
    • Continuity Discussion
    • 09/17 - Continuity Summary Part 1
    • Continuity Theorems Discussion
    • 09/18 - Continuity Summary Part 2
    • Problem Set 3 - Limits and Continuity
• Derivatives
  • Topic: Defining the Derivative
    • Derivative Definition Discussion
    • 09/21 - Derivative Definition Summary
    • Derivative Functions Discussion
    • 09/23 - Derivative Functions Summary
  • Topic: Differentiation Rules
    • Differentiation Rules Discussion
    • 09/24 - Differentiation Rules Summary
    • Differentiation Miscellany Discussion
    • 09/25 - Differentiation Miscellany Summary
    • Product and Quotient Rules Discussion
    • 09/28 - The Product and Quotient Rules, Part 1
    • 10/01 - The Product and Quotient Rules Part 2
    • Problem Set 4 - Derivatives and Such
  • Topic: Trigonometric Derivatives
    • Squeeze Theorem Discussion
    • 10/02 - Squeeze Theorem Summary
    • Trig Derivatives Discussion
    • 10/05 - Trigonometric Derivatives Summary
  • Topic: The Chain Rule
    • Chain Rule Discussion
    • 10/07 - Chain Rule Summary, Part 1
    • 10/08 - Chain Rule Summary, Part 2
    • 10/09 - Chain Rule Summary, Part 3
    • Problem Set 5 - Differentiation Rules
  • Topic: Derivatives of Exponential Functions
    • Exponential Derivatives Discussion
    • 10/12 - Exponential Derivatives Summary
  • Topic: Implicit Differentiation
    • Implicit Differentiation Discussion
    • 10/14 - Implicit Differentiation Summary, Part 1
    • 10/15 - Implicit Differentiation Summary, Part 2
  • Topic: Inverse Functions
    • Implicit Differentiation and Inverse Functions Discussion
    • 10/16 - Derivatives of Inverse Functions Summary
    • 10/19 - Derivatives of Inverse Functions, Part 2
    • Problem Set 6 - Exponential Derivatives and Implicit Differentiation
• Applications of Derivatives
  • Topic: Related Rates
    • Related Rates Discussion
    • 10/21 - Related Rates Introduction
    • 10/22 - Related Rates Examples
    • 10/23 - More Related Rates Examples
  • Topic: Linear Approximation and Differentials
    • Differentials Discussion
    • 10/26 - Linear Approximation and Differentials Summary
  • Topic: Extreme Values
    • Extreme Values Discussion
    • 10/28 - Introduction to Extreme Values
    • 10/29 - Extreme Values Examples
    • 10/30 - More Extreme Value Examples
    • Extreme Values on Closed Intervals Discussion
    • Problem Set 7 - Applications of Derivatives 1
    • 11/02 - Extreme Values on Closed Intervals Summary
  • Topic: The Mean Value Theorem
    • Mean Value Theorem Discussion
    • 11/04 - Mean Value Theorem Summary
  • Topic: Derivatives and Graphs
    • Derivatives and Shapes of Graphs Discussion
    • 11/05 - Derivatives and Graphs Part 1
    • 11/06 - Derivatives and Graphs, Part 2
    • Problem Set 8 - Applications of Derivatives 2
  • Topic: Limits at Infinity
    • Limits at Infinity Discussion
    • 11/09 - Limits at Infinity Summary
    • 11/11 - Formal Definition of Limit at Infinity
  • Topic: L’Hôpital’s Rule
    • L’Hôpital’s Rule Discussion
    • 11/12 - L’Hôpital’s Rule Summary
    • Problem Set 9 - Applications of Derivatives 3
• Integrals
  • Topic: Summation Notation
    • Summation Discussion
    • 11/13 - Summation Summary
    • Area Under Curves Discussion
    • 11/16 - Area Under Curves Summary
  • Topic: Definite Integrals
    • Definite Integral Discussion
    • 11/18 - Definite Integral Summary
  • Topic: The Fundamental Theorem
    • Fundamental Theorem Part 1 Discussion
    • 11/19 - Fundamental Theorem Part 1 Summary
    • Fundamental Theorem Part 2 Discussion
    • 11/20 - Fundamental Theorem Part 2 Summary
    • Problem Set 10 - Integrals
  • Topic: Integration by Substitution
    • Integration by Substitution Discussion
    • 11/23 - Introduction to Substitution
    • 11/30 - More about Substitution
    • Substitution in Definite Integrals Discussion
    • 12/02 - Substitution in Definite Integrals Summary
    • Problem Set 11 - Integration
• Applications of Integrals
  • Topic: Area between Curves
    • Area between Curves Discussion
    • 12/04 - Area Between Curves Summary
    • 12/07 - More Area between Curves
  • Topic: Volume
    • Volume by Slicing Discussion
    • 12/09 - Volume by Slices Summary
    • Volumes of Revolution Discussion
    • 12/11 - Volumes of Revolution Summary