(14) Calculus

Topic outline

• Essential Questions

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  1. What does "calculus" mean?
  2. Why can one not use high school math to answer the central questions of calculus? Can you explain with stories and/or examples?
  3. What is the relationship between a rate of change and the total amount of change? How many ways can we represent this relationship? What is the relationship called?
  4. What is the main reason introductory calculus students struggle? Hint (source)

   

   

• Whole Course Resources
  • Alternative Calculus Outline
    • Note that this course will be doing Term 1's content only.
  • Satirical 10 Day Syllabus for Precalculus

• Limits & Derivatives of Polynomials - Basic

• Limits & Derivatives of Polynomials - Intermediate

• Limits & Derivatives of Polynomials - Advanced

• The Fundamental Theorem of Calculus - Basic
  • • The Fundamental Theorem of Calculus - Linear
      
    • FTC Introductory Template

• The Fundamental Theorem of Calculus - Intermediate
  • • FTC Introductory Template
      

• The Fundamental Theorem of Calculus - Advanced