College Algebra and Calculus: An Applied Approach 1st edition

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Ron Larson and Anne V. Hodgkins
Publisher: Cengage Learning

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  • Chapter 0: Fundamental Concepts of Algebra
    • 0.1: Real Numbers: Order and Absolute Value
    • 0.2: The Basic Rules of Algebra
    • 0.3: Integer Exponents
    • 0.4: Radicals and Rational Exponents
    • 0.5: Polynomials and Special Products
    • 0.6: Factoring
    • 0.7: Fractional Expressions

  • Chapter 1: Equations and Inequalities
    • 1.1: Linear Equations
    • 1.2: Mathematical Modeling
    • 1.3: Quadratic Functions
    • 1.4: The Quadratic Formula
    • 1.5: Other Types of Equations
    • 1.6: Linear Inequalities
    • 1.7: Other Types of Inequalities

  • Chapter 2: Functions and Graphs
    • 2.1: Graphs of Equations (1)
    • 2.2: Lines in the Plane
    • 2.3: Linear Modeling and Direct Variation (1)
    • 2.4: Functions (2)
    • 2.5: Graphs of Functions
    • 2.6: Transformations of Functions (1)
    • 2.7: The Algebra of Functions (1)
    • 2.8: Inverse Functions (1)

  • Chapter 3: Polynomial and Rational Functions
    • 3.1: Quadratic Functions and Models
    • 3.2: Polynomial Functions of Higher Degree
    • 3.3: Polynomial Division
    • 3.4: Real Zeros of Polynomial Functions
    • 3.5: Complex Numbers
    • 3.6: The Fundamental Theorem of Algebra
    • 3.7: Rational Functions

  • Chapter 4: Exponential and Logarithmic Functions
    • 4.1: Exponential Functions
    • 4.2: Logarithmic Functions
    • 4.3: Properties of Logarithms
    • 4.4: Solving Exponential and Logarithmic Equations
    • 4.5: Exponential and Logarithmic Models

  • Chapter 5: Systems of Equations and Inequalities
    • 5.1: Solving Systems Using Substitution
    • 5.2: Solving Systems Using Elimination
    • 5.3: Linear Systems in Three of More Variables
    • 5.4: Systems of Inequalities
    • 5.5: Linear Programming

  • Chapter 6: Matrices and Determinants
    • 6.1: Matrices and Linear Systems
    • 6.2: Operations with Matrices
    • 6.3: The Inverse of Square Matrix
    • 6.4: The Determinant of a Square Matrix
    • 6.5: Applications of Matrices and Determinants

  • Chapter 7: Limits and Derivatives
    • 7.1: Limits
    • 7.2: Continuity
    • 7.3: The Derivative and the Slope of a Graph
    • 7.4: Same Rules for Differentiation
    • 7.5: Rates of Change: Velocity and Marginals
    • 7.6: The Product and Quotient Rules
    • 7.7: The Chain Rule

  • Chapter 8: Applications of the Derivative
    • 8.1: Higher-Order Derivatives
    • 8.2: Implicit Differentiation
    • 8.3: Related Rates
    • 8.4: Increasing and Decreasing Functions
    • 8.5: Extrema and the First-Derivative Test
    • 8.6: concavity and the Second-Derivative Test

  • Chapter 9: Further Applications of the Derivative
    • 9.1: Optimization Problems
    • 9.2: Business and Economics Applications
    • 9.3: Asymptotes
    • 9.4: Curve Sketching: A Summary
    • 9.5: Differentials and Marginal Analysis

  • Chapter 10: Exponential and Logarithmic Functions
    • 10.1: Exponential Functions
    • 10.2: Natural Exponential Functions
    • 10.3: Derivatives of Exponential Functions
    • 10.4: Logarithmic Functions
    • 10.5: Derivatives of Logarithmic Functions
    • 10.6: Exponential Growth and Decay

  • Chapter 11: Integration and Its Applications
    • 11.1: Antiderivatives and Indefinite Integrals
    • 11.2: Integration by Substitution and The General Power Rule
    • 11.3: Exponential and Logarithmic Integrals
    • 11.4: Area and the Fundamental Theorem of Calculus
    • 11.5: The Area of a Region Bounded by Two Graphs
    • 11.6: The Definite Integral as the Limit of a Sum

  • Chapter 12: Techniques of Integration
    • 12.1: Integration by Parts and Present Value
    • 12.2: Partial Fractions and Logistic Growth
    • 12.3: Integration Tables
    • 12.4: Numerical Integration
    • 12.5: Improper Integrals

  • Chapter 13: Functions of Several Variables
    • 13.1: The Three-Dimensional Coordinate System
    • 13.2: Surfaces in Space
    • 13.3: Functions of Several Variables
    • 13.4: Partial Derivatives
    • 13.5: Exrrema of Functions of Two Variables
    • 13.6: Lagrange Multipliers
    • 13.7: Lease Squares Regression Analysis
    • 13.8: Double Integrals and Area in the Plane
    • 13.9: Applications of Double Integrals

  • Chapter 14: Trigonometric Functions (online)*
    • 14.1: Radian Measure of Angles
    • 14.2: The Trigonometric Function
    • 14.3: Graphs of Trigonometric Functions
    • 14.4: Derivatives of Trigonometric Functions
    • 14.5: Integrals of Trigonometric Functions

  • Chapter 15: Series and Taylor Polynomials (online)*
    • 15.1: Sequences and Summation Notation
    • 15.2: Arithmetic Sequences and Partial Sums
    • 15.3: Geometric Sequences and Series
    • 15.4: Series and Convergence
    • 15.5: p-Series and the Ration Test
    • 15.6: Power Series and Taylor's Theorem
    • 15.7: Taylor Polynomials
    • 15.8: Newton's Method

  • Chapter 16: Probability (online)*
    • 16.1: Counting Principles
    • 16.2: Probability
    • 16.3: Discrete and Continuous Random Variables
    • 16.4: Expected Value and Variance
    • 16.5: Mathematical Induction
    • 16.6: The Binomial Theorem

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Group Quantity Questions
Chapter 1: Equations and Inequalities
1 0  
Chapter 2: Functions and Graphs
2.1 27 002.SBS 004 010 014 018 020 022 026 028 034 040 042 048 054 060 062 064 076 078 080 086 090 094 102 106 107 112
2.2 27 004 006 010 012.SBS 014 026 029 030 034 038 042 048 052 056 060 064 068 072 076 079 080 081 086 088 092 098 100
2.3 14 002 006 008 012 016 018 022 024.SBS 030 034 036 038 040 050
2.4 25 006 008 010 014 020 024 030 032.SBS 034 038 040 042 044 048 052 054 056 060 062 066 070 072 074 080 082
2.5 22 004 008 012 014 020 022.SBS 024 028 032 036 040 041 046 050 052 056 058 062 066 072 074 082
2.6 18 002 006 008 010 016 020 030 036 040 044 046 050 054.SBS 056 060 062 064 066
2.7 19 002 006 010 014 018 020 024 028 032.SBS 036 038 040 042 044 054 060 062 064 068
2.8 19 002 004 010.SBS 020 022 026 028 030 032 036 050 055 056 060 062 064 066 068 070
Chapter 3: Polynomial and Rational Functions
3 0  
Chapter 4: Exponential and Logarithmic Functions
4 0  
Chapter 5: Systems of Equations and Inequalities
5 0  
Chapter 6: Matrices and Determinants
6 0  
Chapter 7: Limits and Derivatives
7 0  
Chapter 8: Applications of the Derivative
8 0  
Chapter 9: Further Applications of the Derivative
9 0  
Chapter 10: Exponential and Logarithmic Functions
10 0  
Chapter 11: Integration and Its Applications
11 0  
Chapter 12: Techniques of Integration
12 0  
Chapter 13: Functions of Several Variables
13 0  
Chapter 14: Trigonometric Functions (online)*
14 0  
Chapter 15: Series and Taylor Polynomials (online)*
15 0  
Chapter 16: Probability (online)*
16 0  
Total 171