Publisher Description

Students learn when they are activity engaged and thinking in class. The activities in this book are the primary classroom materials for teaching Calculus 1, using the POGIL method. Each activity leads students to discovery of the key concepts by having them analyze data and make inferences.  The result is an "I can do this" attitude, increased retention, and a feeling of ownership over the material.Kendall Hunt is excited to partner with The POGIL Project to publish materials in a variety of disciplines that are designed for use in active learning, student-centered classrooms.POGIL is an acronym for Process Oriented Guided Inquiry Learning. Because POGIL is a student-centered instructional approach, in a typical POGIL classroom or laboratory, students work in small teams with the instructor acting as a facilitator. The student teams use specially designed activities that generally follow a learning cycle paradigm. These activities are designed to have three key characteristics:

• They are designed for use with self-managed teams that employ the instructor as a facilitator of learning rather than a source of information.
• They guide students through an exploration to construct understanding.
• They use discipline content to facilitate the development of important process skills, including higher-level thinking and the ability to learn and to apply knowledge in new contexts. 

Table of Contents

• Functions
  F1: Review of Functions
  F2: Characteristics of Functions
  F3: Compositions of Functions
• Limits 
  L1: Limit of a Function
  L2: Limit Laws
  L3: Precise Definition of a Limit
  L4: Continuity
• Derivatives
  D1: Velocity, Introduction to Derivatives
  D2: Derivative at a Point
  D3: Derivative as a Function
  D4: Differentiability
  D5: Second Derivative
• Differentiation Techniques
  DT1: Power, Constant Multiple, Sum and Difference Rules
  DT2: Product and Quotient Rules
  DT3: Derivatives of Exponential Functions
  DT4: Derivatives of Trigonometric Functions
  DT5: the Chain Rule
  DT6: Derivatives of Inverse Functions
  DT7: Implicit Differentiation
• Differentiation Applications
  DA1: Related Rates
  DA2: Linear Approximation
  DA3: Mean Value Theorem
  DA4: Maximum and Minimum Values
  DA6: Optimization
• Integration
  I1: Area and Distance
  I2: Riemann Sums
  I3: Definite Integrals
  I4: Fundamental Theorem of Calculus
  I5: Antiderivatives and the Fundamental Theorem of Calculus
  I6: Indefinite Integrals

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