Calculus for AP 2nd edition

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Ron Larson and Paul Battaglia
Publisher: Cengage Learning

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  • 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

  • Chapter P: Preparation for Calculus
    • P.1: Graphs and Models
    • P.2: Linear Models and Rates of Change
    • P.3: Functions and Their Graphs
    • P.4: Inverse Functions
    • P.5: Exponential and Logarithmic Functions
    • P: Review Exercises

  • Chapter 1: Limits and Their Properties
    • 1.1: A Preview of Calculus
    • 1.2: Finding Limits Graphically and Numerically
    • 1.3: Evaluating Limits Analytically
    • 1.4: Continuity and One-Sided Limits
    • 1.5: Infinite Limits
    • 1.6: Limits at Infinity
    • 1: Review Exercises
    • 1: AP® Exam Practice Questions

  • Chapter 2: Differentiation
    • 2.1: The Derivative and the Tangent Line Problem
    • 2.2: Basic Differentiation Rules and Rates of Change
    • 2.3: Product and Quotient Rules and Higher-Order Derivatives
    • 2.4: The Chain Rule
    • 2.5: Implicit Differentiation
    • 2.6: Derivatives of Inverse Functions
    • 2.7: Related Rates
    • 2.8: Newton's Method
    • 2: Review Exercises
    • 2: AP® Exam Practice Questions

  • Chapter 3: Applications of Differentiation
    • 3.1: Extrema on an Interval
    • 3.2: Rolle's Theorem and the Mean Value Theorem
    • 3.3: Increasing and Decreasing Functions and the First Derivative Test
    • 3.4: Concavity and the Second Derivative Test
    • 3.5: A Summary of Curve Sketching
    • 3.6: Optimization Problems
    • 3.7: Linear Approximation and Differentials
    • 3: Review Exercises
    • 3: AP® Exam Practice Questions

  • Chapter 4: Integration
    • 4.1: Antiderivatives and Indefinite Integration
    • 4.2: Area
    • 4.3: Riemann Sums and Definite Integrals
    • 4.4: The Fundamental Theorem of Calculus
    • 4.5: The Net Change Theorem
    • 4.6: Integration by Substitution
    • 4.7: The Natural Logarithmic Function: Integration
    • 4.8: Inverse Trigonometric Functions: Integration
    • 4: Review Exercises
    • 4: AP® Exam Practice Questions

  • Chapter 5: Differential Equations
    • 5.1: Slope Fields and Euler's Method
    • 5.2: Growth and Decay
    • 5.3: Separation of Variables
    • 5.4: The Logistic Equation
    • 5: Review Exercises
    • 5: AP® Exam Practice Questions

  • Chapter 6: Applications of Integration
    • 6.1: Area of a Region Between Two Curves
    • 6.2: Volume: The Disk and Washer Methods
    • 6.3: Volume: The Shell Method
    • 6.4: Arc Length and Surfaces of Revolution
    • 6: Review Exercises
    • 6: AP® Exam Practice Questions

  • Chapter 7: Integration Techniques, L'Hôpital's Rule, and Improper Integrals
    • 7.1: Basic Integration Rules
    • 7.2: Integration by Parts
    • 7.3: Trigonometric Integrals
    • 7.4: Trigonometric Substitution
    • 7.5: Partial Fractions
    • 7.6: Integration by Tables and Other Integration Techniques
    • 7.7: Indeterminate Forms and L'Hôpital's Rule
    • 7.8: Improper Integrals
    • 7: Review Exercises
    • 7: AP® Exam Practice Questions

  • Chapter 8: Infinite Series
    • 8.1: Sequences
    • 8.2: Series and Convergence
    • 8.3: The Integral Test and p-Series
    • 8.4: Comparisons of Series
    • 8.5: Alternating Series
    • 8.6: The Ratio and Root Tests
    • 8.7: Taylor Polynomials and Approximations
    • 8.8: Power Series
    • 8.9: Representation of Functions by Power Series
    • 8.10: Taylor and Maclaurin Series
    • 8: Review Exercises
    • 8: AP® Exam Practice Questions

  • Chapter 9: Parametric Equations, Polar Coordinates, and Vectors
    • 9.1: Conics and Calculus
    • 9.2: Plane Curves and Parametric Equations
    • 9.3: Parametric Equations and Calculus
    • 9.4: Polar Coordinates and Polar Graphs
    • 9.5: Area and Arc Length in Polar Coordinates
    • 9.6: Vectors in the Plane
    • 9.7: Vector-Valued Functions
    • 9.8: Velocity and Acceleration
    • 9: Review Exercises
    • 9: AP® Exam Practice Questions

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

  • Chapter FT5: Fast Track to a 5: Preparing for the AP® Calculus AB and Calculus BC Examinations
    • FT5.ABDT: AB Diagnostic Test
    • FT5.BCDT: BC Diagnostic Test
    • FT5.1: Limits and Continuity
    • FT5.2: Differentiation: Definition and Fundamental Properties
    • FT5.3: Differentiation: Composite, Implicit, and Inverse Functions
    • FT5.4: Contextual Applications of Derivatives
    • FT5.5: Analytical Applications of Derivatives
    • FT5.6: Integration and Accumulation of Change
    • FT5.7: Differential Equations
    • FT5.8: Applications of Integration
    • FT5.9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
    • FT5.10: Infinite Sequences and Series
    • FT5.ABT1: AB Practice Test 1
    • FT5.ABT2: AB Practice Test 2
    • FT5.BCT1: BC Practice Test 1
    • FT5.BCT2: BC Practice Test 2


Calculus for AP 2nd edition by Ron Larson and Paul Battaglia is designed specifically for the AP Curriculum Framework and exam. Ron Larson and co-author Paul Battaglia developed an updated program that meets the current needs of the AP Calculus course. Exercises connect to the AP Calculus Exam and will help students increase their conceptual understanding of mathematics. The WebAssign component for this title features Fast Track to a 5: AP Test Preparation questions, video links, tutorial questions, worked-out solutions, and links to a complete eBook.

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  • Read It links under each question quickly jump to the corresponding section of a complete, interactive eBook that lets students highlight and take notes as they read.
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  • Watch It links provide step-by-step instruction with short, engaging videos that are ideal for visual learners.
  • Select questions contain detailed solutions to the problem, available to students at your discretion.
  • Lecture videos are available as a textbook resource.

WebAssign Question Types

  • Explore It (EI) modules help students visualize the course's complex topics through hands-on exploration and interactive simulation.
  • 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.
  • 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.
  • 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.
  • QuickPrep (QP) questions review the concepts of linear functions to help improve student readiness for calculus. Assign any of these QuickPrep modules early in the course or whenever the review is most needed.
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Group Quantity Questions
Chapter FT5: Fast Track to a 5: Preparing for the AP® Calculus AB and Calculus BC Examinations
FT5.ABDT FR.001 FR.002 FR.003 FR.004 FR.005 FR.006 1.001 1.002 1.003 1.004 1.005 1.006 1.007 1.008 1.009 1.010 1.011 1.012 1.013 1.014 1.015 1.016 1.017 1.018 1.019 1.020 1.021 1.022 1.023 1.024 1.025 1.026 1.027-028 1.029 1.030 1.031 1.032-033 1.034 1.035 1.036 1.037 1.038 1.039 1.040 1.041 1.042 1.043 1.044 1.045
FT5.ABT1 FR.001 FR.002 FR.003 FR.004 FR.005 FR.006 1.001 1.002 1.003 1.004 1.005 1.006 1.007 1.008 1.009 1.010 1.011 1.012 1.013 1.014 1.015 1.016 1.017 1.018 1.019 1.020 1.021 1.022 1.023 1.024 1.025 1.026-028 1.029 1.030 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.040 1.041 1.042 1.043 1.044 1.045
FT5.ABT2 FR.001 FR.002 FR.003 FR.004 FR.005 FR.006 1.001 1.002 1.003 1.004 1.005-007 1.008 1.009 1.010 1.011 1.012 1.013 1.014 1.015 1.016 1.017 1.018 1.019 1.020 1.021 1.022 1.023 1.024 1.025 1.026 1.027 1.028 1.029 1.030 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039-041 1.042 1.043 1.044 1.045
FT5.BCDT FR.001 FR.002 FR.003 FR.004 FR.005 FR.006 1.001 1.002 1.003 1.004 1.005 1.006 1.007 1.008 1.009 1.010 1.011 1.012 1.013 1.014 1.015 1.016 1.017 1.018 1.019 1.020 1.021 1.022 1.023 1.024 1.025 1.026 1.027 1.028 1.029 1.030 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.040 1.041 1.042 1.043 1.044 1.045
FT5.BCT1 FR.001 FR.002 FR.003 FR.004 FR.005 FR.006 1.001 1.002 1.003 1.004 1.005 1.006 1.007 1.008 1.009 1.010 1.011 1.012 1.013 1.014 1.015 1.016 1.017-018 1.019 1.020 1.021 1.022 1.023 1.024 1.025 1.026 1.027 1.028 1.029 1.030 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.040 1.041 1.042 1.043 1.044 1.045
FT5.BCT2 FR.001 FR.002 FR.003 FR.004 FR.005 FR.006 1.001 1.002 1.003 1.004 1.005 1.006 1.007 1.008 1.009 1.010 1.011 1.012 1.013 1.014 1.015 1.016 1.017 1.018 1.019 1.020 1.021 1.022 1.023 1.024 1.025 1.026 1.027 1.028 1.029 1.030 1.031 1.032 1.033 1.034 1.035 1.036 1.037 1.038 1.039 1.040 1.041 1.042 1.043 1.044 1.045
FT5.1 FR.001 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.2 FR.001 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.3 FR.001 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.4 FR.001 001 002 003 004-005 006 007-009 010 011 012 013 014 015
FT5.5 FR.001 001 002 003 004 005 006 007 008 009 010 011-012 013 014 015
FT5.6 FR.001 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.7 FR.001 001 002 003-005 006-007 008-010 011 012 013 014-015
FT5.8 FR.001 001-002 003-004 005 006 007 008 009 010 011-013 014 015
FT5.9 FR.001 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.10 FR.001 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
Chapter 1: Limits and Their Properties
1 0  
Chapter 2: Differentiation
2.AP 016
2.2 VE.001 062 068
2.5 083
Chapter 3: Applications of Differentiation
3 0  
Chapter 4: Integration
4.7 060.MI
Chapter 5: Differential Equations
5.3 008
5.4 JIT.002
Chapter 6: Applications of Integration
6 0  
Chapter 7: Integration Techniques, L'Hôpital's Rule, and Improper Integrals
7 0  
Chapter 8: Infinite Series
8 0  
Chapter 9: Parametric Equations, Polar Coordinates, and Vectors
9.AP 008
Total 0 (452)