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Calculus Calculus Series by Larson

  1. Strongly Recommend

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  4. Strongly don't Recommend

  1. Jan 22, 2013 #1
    • Author: Ron Larson
    • Amazon Link:
      [URL="https://www.amazon.com/Calculus-Transcendental-Functions-Ron-Larson/dp/0538735503/"]Calculus: Early Transcendental Functions, 5E[/URL]
      [URL="https://www.amazon.com/Calculus-Single-Variable-Ron-Larson/dp/0547209983/"]Calculus of a Single Variable, 9E[/URL]
      [URL="https://www.amazon.com/Calculus-Single-Variable-Transcendental-Functions/dp/053873552X/"]Calculus of a Single Variable: Early Transcendental Functions, 5E[/URL]
      [URL="https://www.amazon.com/Calculus-Multivariable-Ron-Larson/dp/0547209975/"]Multivariable Calculus, 9E[/URL]
      [*] [B]Prerequisities:[/B] High-School Mathematics

      [B]Table of Contents:[/B]
      [*] A Word from the Authors
      [*] Textbook Features
      [*] Preparation for Calculus
      [*] Graphs and Models
      [*] Linear Models and Rates of Change
      [*] Functions and Their Graphs
      [*] Fitting Models to Data
      [*] Review Exercises
      [*] Problem Solving
      [*] Limits and Their Properties
      [*] A Preview of Calculus
      [*] Finding Limits Graphically and Numerically
      [*] Evaluating Limits Analytically
      [*] Continuity and One-Sided Limits
      [*] Infinite Limits
      [*] Setion Project: Graphs and Limits of Trigonometric Functions
      [*] Review Exercises
      [*] Problem Solving
      [*] Differentiation
      [*] The Derivative and the Tangent Line Problem
      [*] Basic Differentiation Rules and Rates of Change
      [*] Product and Quotient Rules and Higher-Order Derivatives
      [*] The Chain Rule
      [*] Implicit Differentiation
      [*] Section Project: Optical Illusions
      [*] Related Rates
      [*] Review Exercises
      [*] Problem Solving
      [*] Applications of Differentiation
      [*] Extrema on an Interval
      [*] Rolle’s Theorem and the Mean Value Theorem
      [*] Increasing and Decreasing Functions and the First Derivative Test
      [*] Section Project: Rainbows
      [*] Concavity and the Second Derivative Test
      [*] Limits at Infinity
      [*] A Summary of Curve Sketching
      [*] Optimization Problems
      [*] Section Project: Connecticut River
      [*] Newton’s Method
      [*] Differentials
      [*] Review Exercises
      [*] Problem Solving
      [*] Integration
      [*] Antiderivatives and Indefinite Integration
      [*] Area
      [*] Riemann Sums and Definite Integrals
      [*] The Fundamental Theorem of Calculus
      [*] Section Project: Demonstrating the Fundamental Theorem
      [*] Integration by Substitution
      [*] Numerical Integration
      [*] Review Exercises
      [*] Problem Solving
      [*] Logarithmic, Exponential, and Other Transcendental Functions
      [*] The Natural Logarithmic Function: Differentiation
      [*] The Natural Logarithmic Function: Integration
      [*] Inverse Functions
      [*] Exponential Functions: Differentiation and Integration
      [*] Bases Other Than e and Applications
      [*] Section Project: Using Graphing Utilities to Estimate Slope
      [*] Inverse Trigonometric Functions: Differentiation
      [*] Inverse Trigonometric Functions: Integration
      [*] Hyperbolic Functions
      [*] Section Project: St. Louis Arch
      [*]Review Exercises
      [*] Problem Solving
      [*] Differential Equations
      [*] Slope Fields and Euler’s Method
      [*] Differential Equations: Growth and Decay
      [*] Separation of Variables and the Logistic Equation
      [*] First-Order Linear Differential Equations
      [*] Section Project: Weight Loss
      [*] Review Exercises
      [*] Problem Solving
      [*] Applications of Integration
      [*] Area of a Region Between Two Curves
      [*] Volume: The Disk Method
      [*] Volume: The Shell Method
      [*] Section Project: Saturn
      [*] Arc Length and Surfaces of Revolution
      [*] Work
      [*] Section Project: Tidal Energy
      [*] Moments, Centers of Mass, and Centroids
      [*] Fluid Pressure and Fluid Force
      [*] Review Exercises
      [*] Problem Solving
      [*] Integration Techniques, L’Hôpital’s Rule, and Improper Integrals
      [*] Basic Integration Rules
      [*] Integration by Parts
      [*] Trigonometric Integrals
      [*] Section Project: Power Lines
      [*] Trigonometric Substitution
      [*] Partial Fractions
      [*] Integration by Tables and Other Integration Techniques
      [*] Indeterminate Forms and L’Hôpital’s Rule
      [*] Improper Integrals
      [*] Review Exercises
      [*] Problem Solving
      [*] Infinite Series
      [*] Sequences
      [*] Series and Convergence
      [*] Section Project: Cantor’s Disappearing Table
      [*] The Integral Test and p-Series
      [*] Section Project: The Harmonic Series
      [*] Comparisons of Series
      [*] Section Project: Solera Method
      [*] Alternating Series
      [*] The Ratio and Root Tests
      [*] Taylor Polynomials and Approximations
      [*] Power Series
      [*] Representation of Functions by Power Series
      [*] Taylor and Maclaurin Series
      [*] Review Exercises
      [*] Problem Solving
      [*] Conics, Parametric Equations, and Polar Coordinates
      [*] Conics and Calculus
      [*] Plane Curves and Parametric Equations
      [*] Section Project: Cycloids
      [*] Parametric Equations and Calculus
      [*] Polar Coordinates and Polar Graphs
      [*] Section Project: Anamorphic Art
      [*] Area and Arc Length in Polar Coordinates
      [*] Polar Equations of Conics and Kepler’s Laws
      [*] Review Exercises
      [*] Problem Solving
      [*] Vectors and the Geometry of Space
      [*] Vectors in the Plane
      [*] Space Coordinates and Vectors in Space
      [*] The Dot Product of Two Vectors
      [*] The Cross Product of Two Vectors in Space
      [*] Lines and Planes in Space
      [*] Section Project: Distances in Space
      [*] Surfaces in Space
      [*] Cylindrical and Spherical Coordinates
      [*] Review Exercises
      [*] Problem Solving
      [*] Vector-Valued Functions
      [*] Vector-Valued Functions
      [*] Section Project: Witch of Agnesi
      [*] Differentiation and Integration of Vector-Valued Functions
      [*] Velocity and Acceleration
      [*] Tangent Vectors and Normal Vectors
      [*] Arc Length and Curvature
      [*] Review Exercises
      [*] Problem Solving
      [*] Functions of Several Variables
      [*] Introduction to Functions of Several Variables
      [*] Limits and Continuity
      [*] Partial Derivatives
      [*] Section Project: Moiré Fringes
      [*] Differentials
      [*] Chain Rules for Functions of Several Variables
      [*] Directional Derivatives and Gradients
      [*] Tangent Planes and Normal Lines
      [*] Section Project: Wildflowers
      [*] Extrema of Functions of Two Variables
      [*] Applications of Extrema of Functions of Two Variables
      [*] Section Project: Building a Pipeline
      [*] Lagrange Multipliers
      [*] Review Exercises
      [*] Problem Solving
      [*] Multiple Integration
      [*] Iterated Integrals and Area in the Plane
      [*] Double Integrals and Volume
      [*] Change of Variables: Polar Coordinates
      [*] Center of Mass and Moments of Inertia
      [*] Section Project: Center of Pressure on a Sail
      [*] Surface Area
      [*] Section Project: Capillary Action
      [*] Triple Integrals and Applications
      [*] Triple Integrals in Cylindrical and Spherical Coordinates
      [*] Section Project: Wrinkled and Bumpy Spheres
      [*] Change of Variables: Jacobians
      [*] Review Exercises
      [*] Problem Solving
      [*] Vector Analysis
      [*] Vector Fields
      [*] Line Integrals
      [*] Conservative Vector Fields and Independence of Path
      [*] Green's Theorem
      [*] Section Project: Hyperbolic and Trigonometric Functions
      [*] Parametric Surfaces
      [*] Surface Integrals
      [*] Section Project: Hyperboloid of One Sheet
      [*] Divergence Theorem
      [*] Stokes's Theorem
      [*] Review Exercises
      [*] Section Project: The Planimeter
      [*] Problem Solving
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Feb 1, 2013 #2


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    Gold Member

    This was my first calculus text, I love all the historical tidbits, graphics, and great explanations without any spoon fed solutions.
  4. Feb 2, 2013 #3
    It's a decent exposure for HS calculus. In my opinion, it focuses to much on apply formulas. Then and again, that's high school calculus.
  5. May 23, 2013 #4
    This is a great first exposure to calculus
  6. Jun 4, 2013 #5
    I used it for my calculus sequence and I thought it was pretty good.
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