Exploring Calculus with Larson: A Comprehensive Approach

[micromass]

• Author: Ron Larson
• Amazon Link:
  "www.amazon.com/Calculus-Ron-Larson/dp/0547167024/"[/URL]
  [URL='https://www.amazon.com/dp/0538735503/?tag=pfamazon01-20']Calculus: Early Transcendental Functions, 5E[/URL]
  [URL='https://www.amazon.com/dp/0547209983/?tag=pfamazon01-20']Calculus of a Single Variable, 9E[/URL]
  [URL='https://www.amazon.com/dp/053873552X/?tag=pfamazon01-20']Calculus of a Single Variable: Early Transcendental Functions, 5E[/URL]
  [URL='https://www.amazon.com/dp/0547209975/?tag=pfamazon01-20']Multivariable Calculus, 9E[/URL]
  [*] [B]Prerequisities:[/B] High-School Mathematics
  [/LIST]
  
  [B]Table of Contents:[/B]
  [CODE]
  [LIST]
  [*] A Word from the Authors
  [*] Textbook Features
  [*] Preparation for Calculus
  [LIST]
  [*] Graphs and Models
  [*] Linear Models and Rates of Change
  [*] Functions and Their Graphs
  [*] Fitting Models to Data
  [*] Review Exercises
  [*] Problem Solving
  [/LIST]
  [*] Limits and Their Properties
  [LIST]
  [*] 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
  [/LIST]
  [*] Differentiation
  [LIST]
  [*] 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
  [/LIST]
  [*] Applications of Differentiation
  [LIST]
  [*] 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
  [/LIST]
  [*] Integration
  [LIST]
  [*] 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
  [/LIST]
  [*] Logarithmic, Exponential, and Other Transcendental Functions
  [LIST]
  [*] 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
  [/LIST]
  [*] Differential Equations
  [LIST]
  [*] 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
  [/LIST]
  [*] Applications of Integration
  [LIST]
  [*] 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
  [/LIST]
  [*] Integration Techniques, L’Hôpital’s Rule, and Improper Integrals
  [LIST]
  [*] 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
  [/LIST]
  [*] Infinite Series
  [LIST]
  [*] 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
  [/LIST]
  [*] Conics, Parametric Equations, and Polar Coordinates
  [LIST]
  [*] 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
  [/LIST]
  [*] Vectors and the Geometry of Space
  [LIST]
  [*] 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
  [/LIST]
  [*] Vector-Valued Functions
  [LIST]
  [*] 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
  [/LIST]
  [*] Functions of Several Variables
  [LIST]
  [*] 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
  [/LIST]
  [*] Multiple Integration
  [LIST]
  [*] 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
  [/LIST]
  [*] Vector Analysis
  [LIST]
  [*] 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
  [/LIST]
  [/LIST]
  [/CODE]

 

[phion]

This was my first calculus text, I love all the historical tidbits, graphics, and great explanations without any spoon fed solutions.

 

[BloodyFrozen]

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.

 

[guitarphysics]

This is a great first exposure to calculus

 

[member 392791]

I used it for my calculus sequence and I thought it was pretty good.