Textbook
Calculus: Resequenced for Students in STEM, Enhanced eText, Preliminary EditionISBN: 9781119321590
1120 pages
December 2017, ©2018

Description
Dwyer and Gruenwald’s Calculus Resequenced for Students in STEM, Preliminary Edition highlights a new approach to calculus and is devoted to improving the calculus sequence for students in STEM majors. The text introduces a new standard for order and choice of topics for the 3semester sequence. Resequencing topics in the calculus sequence allows for frontloading material for upperlevel STEM majors into the first two semesters, ensuring Calculus 2 is an attractive jumpingoff point for students in biology and chemistry. The topical ordering was developed in consultation with advisory boards consisting of educators in mathematics, biology, chemistry, physics, engineering and economics at diverse institutions.
Table of Contents
Chapter 1  Functions
1.1 Functions and Their Graphs
1.2 Library of Functions
1.3 Implicit Functions and Conic Sections
1.4 Polar Functions
1.5 Parametric Functions
Chapter 2  Limits
2.1 Limits in Calculus
2.2 Limits: Numerical and Graphical Approaches
2.3 Calculating Limits Using Limit Laws
2.4 Limits at Infinity and Horizontal Asymptotes
2.5 Continuity and the Intermediate Value Theorem
2.6 Formal Definition of Limit
Chapter 3  The Derivative
3.1 Tangents,Velocities,and Other Rates of Change
3.2 Derivatives
3.3 Rules for Differentiation
3.4 Product and Quotient Rules
3.5 Trigonometric Functions and Their Derivatives
3.6 Chain Rule
3.7 Tangents to Parametric and Polar Curves
3.8 Implicit Differentiation
3.9 Inverse Functions and Their Derivatives
3.10 Logarithmic Functions and Their Derivatives
Chapter 4  Applications of the Derivative
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 Derivatives and Graphs
4.4 Optimization
4.5 Applications to Rates of Change
4.6 Indeterminate Limits and L Hôpital s Rule
4.7 Polynomial Approximations
4.8 Tangent Line Approximations: Differentials and Newton s Method
Chapter 5  The Integral
5.1 Antiderivatives and Indefinite Integrals
5.2 Area Under a Curve and Total Change
5.3 The Definite Integral
5.4 The Fundamental Theorem of Calculus
5.5 Integration by Substitution
Chapter 6  Techniques of Integration
6.1 Advanced Substitution techniques
6.2 Integration by Parts
6.3 Trigonometric Substitution
6.4 Integrating Rational Functions
6.5 Improper Integrals
6.6 Approximating Definite Integrals
7.1 Average Value and Area Between Curves
7.2 Arc Length
7.3 Volumes
7.4 Solids of Revolution
7.5 Work
Chapter 8  Vectors and Matrices
8.1 Vectors
8.2 Dot Product
8.3 Matrices
8.4 Determinants and Inverse Matrices
8.5 Cross Product
8.6 Lines and Planes in Space
Chapter 9  Functions of Several Variables
9.1 Introduction to Functions of Several Variables
9.2 Limits and Continuity
9.3 Partial Derivatives
9.4 Chain Rule
9.5 Directional Derivatives and Gradients
9.6 Tangent Planes and Linear Approximations
9.7 Extrema and the Second Partials Test
9.8 Lagrange Multipliers
Chapter 10  Double Integrals
10.1 Double Integrals over Rectangles
10.2 Double Integrals over Regions
10.3 Double Integrals in Polar Coordinates
10.4 Applications of Double Integrals
Chapter 11  Differential Equations
11.1 Introduction to Differential Equations
11.2 Separable Differential Equations
11.3 Graphical and Numerical Solutions to Differential Equations
11.4 Linear First Order Differential Equations
Chapter 12  Infinite Series
12.1 Sequences
12.2 Series
12.3 Integral Test
12.4 Comparison Tests
12.5 Alternating Series
12.6 Ratio and Root Tests
12.7 Power Series
12.8 Power Series Representations of Functions
12.9 Taylor Series
Chapter 13  VectorValued Functions
13.1 Review of Vectors
13.2 VectorValued Function
13.3 Differentiation and Integration of VectorValued Functions
13.4 Arc Length and Curvature
13.5 Motion in Space
13.6 Tangent, Normal, and Binormal Vectors
Chapter 14  Surfaces, Solids, and Multiple Integrals
14.1 Cylinders and Quadric Surfaces
14.2 Review of Double Integrals
14.3 Surface Area
14.4 Integrals over Solids: Triple Integration
14.5 Cylindrical and Spherical Coordinates
14.6 Triple Integrals in Cylindrical and Spherical Coordinates
14.7 Change of Variables: The Jacobian
Chapter 15  Vector Analysis
15.1 Vector Fields
15.2 Line Integrals
15.3 Conservative Vector Fields
15.4 Green s Theorem
15.5 Parametric Surfaces
15.6 Surface Integrals
15.7 Divergence Theorem
15.8 Stokes Theorem