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Calculus: Early Transcendental Functions 7th edition

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Ron Larson and Bruce Edwards
Publisher: Cengage Learning

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  • Larson Calculus ET 7e - Precalculus Review
  • Larson Calculus ET 7e - Calculus 1
  • Larson Calculus ET 7e - Calculus 2
  • Larson Calculus ET 7e - Calculus 3

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  • Chapter 1: Preparation for Calculus
    • 1.1: Graphs and Models
    • 1.2: Linear Models and Rates of Change
    • 1.3: Functions and Their Graphs
    • 1.4: Review of Trigonometric Functions
    • 1.5: Inverse Functions
    • 1.6: Exponential and Logarithmic Functions
    • 1: Review Exercises
    • 1: Problem Solving

  • Chapter 2: Limits and Their Properties
    • 2.1: A Preview of Calculus
    • 2.2: Finding Limits Graphically and Numerically
    • 2.3: Evaluating Limits Analytically
    • 2.4: Continuity and One-Sided Limits
    • 2.5: Infinite Limits
    • 2: Review Exercises
    • 2: Problem Solving

  • Chapter 3: Differentiation
    • 3.1: The Derivative and the Tangent Line Problem
    • 3.2: Basic Differentiation Rules and Rates of Change
    • 3.3: Product and Quotient Rules and Higher-Order Derivatives
    • 3.4: The Chain Rule
    • 3.5: Implicit Differentiation
    • 3.6: Derivatives of Inverse Functions
    • 3.7: Related Rates
    • 3.8: Newton's Method
    • 3: Review Exercises
    • 3: Problem Solving

  • Chapter 4: Applications of Differentiation
    • 4.1: Extrema on an Interval
    • 4.2: Rolle's Theorem and the Mean Value Theorem
    • 4.3: Increasing and Decreasing Functions and the First Derivative Test
    • 4.4: Concavity and the Second Derivative Test
    • 4.5: Limits at Infinity
    • 4.6: A Summary of Curve Sketching
    • 4.7: Optimization Problems
    • 4.8: Differentials
    • 4: Review Exercises
    • 4: Problem Solving

  • Chapter 5: Integration
    • 5.1: Antiderivatives and Indefinite Integration
    • 5.2: Area
    • 5.3: Riemann Sums and Definite Integrals
    • 5.4: The Fundamental Theorem of Calculus
    • 5.5: Integration by Substitution
    • 5.6: Indeterminate Forms and L'Hôpital's Rule
    • 5.7: The Natural Logarithmic Function: Integration
    • 5.8: Inverse Trigonometric Functions: Integration
    • 5.9: Hyperbolic Functions
    • 5: Review Exercises
    • 5: Problem Solving

  • Chapter 6: Differential Equations
    • 6.1: Slope Fields and Euler's Method
    • 6.2: Growth and Decay
    • 6.3: Separation of Variables
    • 6.4: The Logistic Equation
    • 6.5: First-Order Linear Differential Equations
    • 6.6: Predator-Prey Differential Equations
    • 6: Review Exercises
    • 6: Problem Solving

  • Chapter 7: Applications of Integration
    • 7.1: Area of a Region Between Two Curves
    • 7.2: Volume: The Disk Method
    • 7.3: Volume: The Shell Method
    • 7.4: Arc Length and Surfaces of Revolution
    • 7.5: Work
    • 7.6: Moments, Centers of Mass, and Centroids
    • 7.7: Fluid Pressure and Fluid Force
    • 7: Review Exercises
    • 7: Problem Solving

  • Chapter 8: Integration Techniques and Improper Integrals
    • 8.1: Basic Integration Rules
    • 8.2: Integration by Parts
    • 8.3: Trigonometric Integrals
    • 8.4: Trigonometric Substitution
    • 8.5: Partial Fractions
    • 8.6: Numerical Integration
    • 8.7: Integration by Tables and Other Integration Techniques
    • 8.8: Improper Integrals
    • 8: Review Exercises
    • 8: Problem Solving

  • Chapter 9: Infinite Series
    • 9.1: Sequences
    • 9.2: Series and Convergence
    • 9.3: The Integral Test and p-Series
    • 9.4: Comparisons of Series
    • 9.5: Alternating Series
    • 9.6: The Ratio and Root Tests
    • 9.7: Taylor Polynomials and Approximations
    • 9.8: Power Series
    • 9.9: Representation of Functions by Power Series
    • 9.10: Taylor and Maclaurin Series
    • 9: Review Exercises
    • 9: Problem Solving

  • Chapter 10: Conics, Parametric Equations, and Polar Coordinates
    • 10.1: Conics and Calculus
    • 10.2: Plane Curves and Parametric Equations
    • 10.3: Parametric Equations and Calculus
    • 10.4: Polar Coordinates and Polar Graphs
    • 10.5: Area and Arc Length in Polar Coordinates
    • 10.6: Polar Equations of Conics and Kepler's Laws
    • 10: Review Exercises
    • 10: Problem Solving

  • Chapter 11: Vectors and the Geometry of Space
    • 11.1: Vectors in the Plane
    • 11.2: Space Coordinates and Vectors in Space
    • 11.3: The Dot Product of Two Vectors
    • 11.4: The Cross Product of Two Vectors in Space
    • 11.5: Lines and Planes in Space
    • 11.6: Surfaces in Space
    • 11.7: Cylindrical and Spherical Coordinates
    • 11: Review Exercises
    • 11: Problem Solving

  • Chapter 12: Vector-Valued Functions
    • 12.1: Vector-Valued Functions
    • 12.2: Differentiation and Integration of Vector-Valued Functions
    • 12.3: Velocity and Acceleration
    • 12.4: Tangent Vectors and Normal Vectors
    • 12.5: Arc Length and Curvature
    • 12: Review Exercises
    • 12: Problem Solving

  • Chapter 13: Functions of Several Variables
    • 13.1: Introduction to Functions of Several Variables
    • 13.2: Limits and Continuity
    • 13.3: Partial Derivatives
    • 13.4: Differentials
    • 13.5: Chain Rules for Functions of Several Variables
    • 13.6: Directional Derivatives and Gradients
    • 13.7: Tangent Planes and Normal Lines
    • 13.8: Extrema of Functions of Two Variables
    • 13.9: Applications of Extrema
    • 13.10: Lagrange Multipliers
    • 13: Review Exercises
    • 13: Problem Solving

  • Chapter 14: Multiple Integration
    • 14.1: Iterated Integrals and Area in the Plane
    • 14.2: Double Integrals and Volume
    • 14.3: Change of Variables: Polar Coordinates
    • 14.4: Center of Mass and Moments of Inertia
    • 14.5: Surface Area
    • 14.6: Triple Integrals and Applications
    • 14.7: Triple Integrals in Other Coordinates
    • 14.8: Change of Variables: Jacobians
    • 14: Review Exercises
    • 14: Problem Solving

  • Chapter 15: Vector Analysis
    • 15.1: Vector Fields
    • 15.2: Line Integrals
    • 15.3: Conservative Vector Fields and Independence of Path
    • 15.4: Green's Theorem
    • 15.5: Parametric Surfaces
    • 15.6: Surface Integrals
    • 15.7: Divergence Theorem
    • 15.8: Stokes's Theorem
    • 15: Review Exercises
    • 15: Problem Solving

  • Chapter 16: Additional Topics in Differential Equations (Online)
    • 16.1: Exact First-Order Equations
    • 16.2: Second-Order Homogeneous Linear Equations
    • 16.3: Second-Order Nonhomogeneous Linear Equations
    • 16.4: Series Solutions of Differential Equations
    • 16: Review Exercises
    • 16: Problem Solving

  • Chapter A: Appendices
    • A.A: Proofs of Selected Theorems
    • A.B: Integration Tables
    • A.C: Precalculus Review
    • A.D: Rotation and the General Second-Degree Equation (Online)
    • A.E: Complex Numbers (Online)
    • A.F: Business and Economic Applications (Online)
    • A.G: Fitting Models to Data (Online)

  • Chapter QP: Quick Prep Topics
    • QP.1: Definition and Representations of Functions
    • QP.2: Working with Representations of Functions
    • QP.3: Function Notation
    • QP.4: Domain and Range of a Function
    • QP.5: Solving Linear Equations
    • QP.6: Linear Functions
    • QP.7: Parabolas
    • QP.8: Factoring Quadratic Equations and Finding x-intercepts of a Quadratic Function
    • QP.9: Polynomials
    • QP.10: More about Factoring Polynomials
    • QP.11: Finding Roots
    • QP.12: Dividing Polynomials
    • QP.13: Rational Functions
    • QP.14: Root Functions
    • QP.15: Rationalizing the Numerator or Denominator
    • QP.16: Exponential Functions
    • QP.17: Logarithmic Functions
    • QP.18: Trigonometric Functions and the Unit Circle
    • QP.19: Graphs of Trigonometric Functions
    • QP.20: Trigonometric Identities
    • QP.21: Special Functions
    • QP.22: Algebraic Combinations of Functions
    • QP.23: Composition of Functions
    • QP.24: Transformations of Functions
    • QP.25: Inverse Functions


Designed for the three-semester engineering calculus course, Calculus: Early Transcendental Functions, 7th Edition, by Ron Larson and Bruce Edwards, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of Calculus: Early Transcendental Functions has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

The WebAssign enhancement to this textbook, which includes an interactive eBook, is a fully customizable online solution that empowers students to learn, not just do homework. Insightful tools save time and highlight exactly where students are struggling. Students get an engaging experience, instant feedback, and better outcomes. A total win-win!

Features
  • Read It links under each question quickly jump to the corresponding section of the eBook.
  • Watch It links provide step-by-step instruction with short, engaging videos that are ideal for visual learners.
  • Course Packs with ready-to-use assignments built by subject matter experts specifically for this textbook are designed to save you time, and can be easily customized to meet your teaching goals.
  • A Personal Study Plan lets your students use chapter and section assessments to gauge their mastery of the material and generate individualized study plans that include various online, interactive multimedia resources.
  • Students can Talk to a Tutor for additional assistance through a link at the assignment level.
  • Select questions contain detailed solutions to the problem, available to students at your discretion.
  • Lecture Videos, Lecture Slides, and an online Test Bank are available as a textbook resources.
Question Types
  • Master It Tutorials (MI) show how to solve a similar problem in multiple steps by providing direction along with derivation so students understand the concepts and reasoning behind the problem solving.
  • Expanded Problem (EP) questions are expanded versions of existing questions that include intermediary steps to guide the student to the final answer.
  • QuickPrep questions review twenty-five key precalculus topics to help improve student readiness for calculus. Assign any of these QuickPrep modules (or any of the questions from the modules) early in the course or whenever the review is most needed.
  • Just-In-Time (JIT) problems are ideal for students who need to remediate their algebra and trigonometry skills. They are carefully selected prerequisite review problems tied to specific calculus problems and assignable at the section level.
  • Video Examples (VE) ask students to watch a section level video segment and then answer a question related to that video. Consider assigning the video example as review prior to class or as a lesson review prior to a quiz or test.
  • Explore It (EI) modules help students visualize the course's complex topics through hands-on exploration and interactive simulation.
Use the Textbook Edition Upgrade Tool to automatically update all of your assignments from the previous edition to corresponding questions in this textbook.

Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

Question Group Key
MI - Master It Tutorial
MI.SA - Stand Alone Master It
EP - Expanded Problem
QP - QuickPrep
JIT - Just-In-Time
VE - Video Example
EI - Explore It
XP - Extra Problem


Question Availability Color Key
BLACK questions are available now
GRAY questions are under development


Group Quantity Questions
Chapter 1: Preparation for Calculus
1 0  
Chapter 2: Limits and Their Properties
2 0  
Chapter 3: Differentiation
3 0  
Chapter 4: Applications of Differentiation
4 0  
Chapter 5: Integration
5 0  
Chapter 6: Differential Equations
6 0  
Chapter 7: Applications of Integration
7 0  
Chapter 8: Integration Techniques and Improper Integrals
8 0  
Chapter 9: Infinite Series
9 0  
Chapter 10: Conics, Parametric Equations, and Polar Coordinates
10 0  
Chapter 11: Vectors and the Geometry of Space
11 0  
Chapter 12: Vector-Valued Functions
12 0  
Chapter 13: Functions of Several Variables
13 0  
Chapter 14: Multiple Integration
14 0  
Chapter 15: Vector Analysis
15 0  
Chapter 16: Additional Topics in Differential Equations (Online)
16 0  
Total 0  

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