IBL Calculus: Concepts and Applications

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    • Calculus I
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    • Calculus I: In-Class Activities and Activity Guides
      • CA I.1 Bottle Graph Exploration Part I
      • CA I.2 Bottle Graph Exploration, Part II
      • CA I.3 Introduction to Functions
      • CA I.4 Linear and Exponential Characteristics
      • CA I.5 Modeling Change in Applied Data using Mathematica
      • CA I.6 Logarithmic Functions
      • CA I.7 Exponential Functions - Exploration of Rate of Change Relationships
      • CA I.8 Rate of Change Equation Applications
      • CA I.8 Introduction to Limits
      • CA I.9 Continuity
      • CA II.1 Average v. Instantaneous Speed
      • CA II.2 The Derivative Function - A Graphical Approach
      • CA II.3 The Meaning of the Derivative
    • Calculus II: In-Class Activities and Activity Guides
      • CA I.1 Snowflake Exploration, Part I
      • CA I.2 Snowflake Exploration Part II
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      • Calculus I Module III Changes
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Calculus II: In-Class Activities and Activity Guides

Module I:  Approximations, Infinite Sums and the Definite Integral
  • CA I.1  Snowflake Exploration, Part I
  • CA I.2  Snowflake Exploration, Part II
  • CA I.3  Geometric Series
  • CA I.4 Approximating Functions - Taylor Polynomials
  • MI Consensus Concept Quiz 1
  • CA I.5 Area under a Curve
  • CA I.6 Distinguishing Series and Definite Integrals
  • CA I.7  Velocity and Distance Traveled
  • CA I.8 Total Change and Other Applications
  • Module I Concept Review Activity
  • Exam One Outline

Module II:  The Fundamental Theorems of Calculus

  • CA II.1  Antiderivatives and the First Fundamental Theorem of Calculus
  • Module II Reading Quiz over Section 5.4
  • CA II.2  Probability and Integral Functions
  • CA II.3  Reversing the Chain Rule
  • CA II.4  More Probability
  • CA II.5  Reversing the Product Rule
  • CA II.6 Differentiation and Integration - Inverse Operations?
  • Module II Antiderivatives Quiz
  • Module II Review Activity
  • Exam Two Outline

Module III:  More Series and Series Functions

  • CA III.1  Improper Integrals
  • CA III.2  Integrals and Series
  • CA III.3  Convergence of Alternating Series
  • CA III.4  Power Series
  • CA III.5  Taylor Series
  • Module III Quick Concept Check
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