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Precalculus
Published 2016Table of Contents: “…Warming Up -- Imposing Coordinates -- Three Simple Curves -- Linear Modeling -- Functions and Graphs -- Graphical Analysis -- Quadratic Modeling -- Composition -- Inverse Functions -- Exponential Functions -- Exponential Modeling -- Logarithmic Functions -- Three Construction Tools -- Rational Functions -- Measuring an Angle -- Measuring Circular Motion -- The Circular Functions -- Trigonometric Functions -- Sinusoidal Functions -- Inverse Circular Functions…”
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APEX PreCalculus
Published 2017Table of Contents: “…1 Numbers and Functions -- 1.1 Real Numbers -- 1.2 Introduction to Functions -- 1.3 Factoring and Expanding -- 1.4 Radicals and Exponents -- 1.5 Logarithms and Exponential Functions -- 2 Basic Skills for Calculus -- 2.1 Linear Functions -- 2.2 Solving Inequalities -- 2.3 Function Domains -- 2.4 Graphs and Graphing -- 2.5 Completing the Square -- 3 Solving and Trigonometric Functions -- 3.1 Solving for Variables -- 3.2 Intersections -- 3.3 Fractions and Partial Fractions Decomposition -- 3.4 Introduction to Trigonometric Functions -- 3.5 Trigonometric Functions and Triangles…”
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College Algebra 2e
Published 2021Table of Contents: “…Exponential and Logarithmic Functions -- Introduction to Exponential and Logarithmic Functions -- 6.1 Exponential Functions -- 6.2 Graphs of Exponential Functions -- 6.3 Logarithmic Functions -- 6.4 Graphs of Logarithmic Functions -- 6.5 Logarithmic Properties -- 6.6 Exponential and Logarithmic Equations -- 6.7 Exponential and Logarithmic Models -- 6.8 Fitting Exponential Models to Data -- Chapter Review -- Exercises -- Chapter 7. …”
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Calculus
Published 2016Table of Contents: “…Chapter 1: Integration -- 1.1 Approximating Areas -- 1.2 The Definite Integral -- 1.3 The Fundamental Theorem of Calculus -- 1.4 Integration Formulas and the Net Change Theorem -- 1.5 Substitution -- 1.6 Integrals Involving Exponential and Logarithmic Functions -- 1.7 Integrals Resulting in Inverse Trigonometric Functions -- Chapter 2: Applications of Integration -- 2.1 Areas between Curves -- 2.2 Determining Volumes by Slicing -- 2.3 Volumes of Revolution: Cylindrical Shells -- 2.4 Arc Length of a Curve and Surface Area -- 2.5 Physical Applications -- 2.6 Moments and Centers of Mass -- 2.7 Integrals, Exponential Functions, and Logarithms -- 2.8 Exponential Growth and Decay -- 2.9 Calculus of the Hyperbolic Functions -- Chapter 3: Techniques of Integration -- 3.1 Integration by Parts -- 3.2 Trigonometric Integrals -- 3.3 Trigonometric Substitution -- 3.4 Partial Fractions -- 3.5 Other Strategies for Integration -- 3.6 Numerical Integration -- 3.7 Improper Integrals -- Chapter 4: Introduction to Differential Equations -- 4.1 Basics of Differential Equations -- 4.2 Direction Fields and Numerical Methods -- 4.3 Separable Equations -- 4.4 The Logistic Equation -- 4.5 First-order Linear Equations -- Chapter 5: Sequences and Series -- 5.1 Sequences -- 5.2 Infinite Series -- 5.3 The Divergence and Integral Tests -- 5.4 Comparison Tests -- 5.5 Alternating Series -- 5.6 Ratio and Root Tests -- Chapter 6: Power Series -- 6.1 Power Series and Functions -- 6.2 Properties of Power Series -- 6.3 Taylor and Maclaurin Series -- 6.4 Working with Taylor Series -- Chapter 7: Parametric Equations and Polar Coordinates -- 7.1 Parametric Equations -- 7.2 Calculus of Parametric Curves -- 7.3 Polar Coordinates -- 7.4 Area and Arc Length in Polar Coordinates -- 7.5 Conic Sections…”
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54
Algebra and Trigonometry 2e
Published 2021Table of Contents: “…Exponential and Logarithmic Functions -- Introduction to Exponential and Logarithmic Functions -- 6.1. Exponential Functions -- 6.2. Graphs of Exponential Functions -- 6.3. …”
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