Calculus I: A Guided Inquiry
1st Edition
Published on 21. July 2014
Book
Paperback/Softback
246 pages
978-1-118-87748-7 (ISBN)
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.
More details
Language
English
Place of publication
New York
United States
Target group
College/higher education
Dimensions
Height: 274 mm
Width: 211 mm
Thickness: 18 mm
Weight
522 gr
ISBN-13
978-1-118-87748-7 (9781118877487)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Andrei Straumanis has a B.A. in Chemistry from Oberlin College and a PhD in organic chemistry from Stanford University. During a three-year NSF-supported post-doctoral fellowship in SMET education, Dr. Straumanis developed and tested materials for guided inquiry organic chemistry. Since 1997, he has given numerous talks and workshops on active learning in organic chemistry and the use of guided inquiry in large classrooms.
Content
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 Function7
D4: Differentiability
D5: Second Derivative
Differentiation Techniques
DT1: Power, Constant Multiple, Sum and Difference Rules
DT2: Product and Quotient Rules
DT3: Derivatives of Exponential and Logarithm Functions
DT4 Pre-Activity: Review of Trigonometry (optional)
DT4: Derivatives of Trigonometric Functions
DT5 Pre-Activity: Review of Compositions (prerequisite for DT5)
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
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 Function7
D4: Differentiability
D5: Second Derivative
Differentiation Techniques
DT1: Power, Constant Multiple, Sum and Difference Rules
DT2: Product and Quotient Rules
DT3: Derivatives of Exponential and Logarithm Functions
DT4 Pre-Activity: Review of Trigonometry (optional)
DT4: Derivatives of Trigonometric Functions
DT5 Pre-Activity: Review of Compositions (prerequisite for DT5)
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