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Calculus
Published 2023Table of Contents: “…Preface -- Chapter 0: Highlights of Calculus -- Chapter 1: Introduction to Calculus -- Chapter 2: Derivatives -- Chapter 3: Applications of the Derivative -- Chapter 4: Derivatives by the Chain Rule -- Chapter 5: Integrals -- Chapter 6: Exponentials and Logarithms -- Chapter 7: Techniques of Integration -- Chapter 8: Applications of the Integral -- Chapter 9: Polar Coordinates and Complex Numbers -- Chapter 10: Infinite Series -- Chapter 11: Vectors and Matrices -- Chapter 12: Motion along a Curve -- Chapter 13: Partial Derivatives -- Chapter 14: Multiple Integrals -- Chapter 15: Vector Calculus -- Chapter 16: Mathematics after Calculus…”
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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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4
Calculus
Published 2016Table of Contents: “…Parametric Equations -- 1.3. Calculus of Parametric Curves -- 1.4. Polar Coordinates -- 1.5. …”
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5
Calculus Early Transcendentals
Published 2021Table of Contents: “…Introduction -- 1 Review -- 2 Functions -- 3 Limits -- 4 Derivatives -- 5 Applications of Derivatives -- 6 Integration -- 7 Techniques of Integration -- 8 Applications of Integration -- 9 Sequences and Series -- 10 Differential Equations -- 11 Polar Coordinates, Parametric Equations 405 -- 12 Three Dimensions -- 13 Partial Differentiation -- 14 Multiple Integration -- 15 Vector Functions -- 16 Vector Calculus -- Selected Exercise Answers -- Index…”
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Calculus One
Published 2014Table of Contents: “…0 Functions -- 1 Limits -- 2 Infinity and Continuity -- 3 Basics of Derivatives -- 4 Curve Sketching -- 5 The Product Rule and Quotient Rule -- 6 The Chain Rule -- 7 The Derivatives of Trigonometric Functions and their Inverses -- 8 Applications of Differentiation -- 9 Optimization -- 10 Linear Approximation -- 11 Antiderivatives -- 12 Integrals -- 13 The Fundamental Theorem of Calculus -- 14 Techniques of Integration -- 15 Applications of Integration…”
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Elementary Calculus
Published 2020Table of Contents: “…1 The Derivative -- 2 Derivatives of Common Functions -- 3 Topics in Differential Calculus -- 4 Applications of Derivatives -- 5 The Integral -- 6 Methods of Integration -- 7 Analytic Geometry and Plane Curves -- 8 Applications of Integrals -- 9 Infinite Sequences and Series…”
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Calculus in Context
Published 1994Table of Contents: “…1. A Context for Calculus -- 2. Successive Approximations -- 3. The Derivative -- 4. …”
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Functional Calculus
Published 2020Subjects: DOAB: download the publication
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Functional Calculus Recent Advances and Development
Published 2023Subjects: “…Calculus bicssc…”
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Calculus for the Life Sciences A Modeling Approach
Published 2011Table of Contents: “…1 Mathematical Models of Biological Processes -- 2 Functions -- 3 The Derivative -- 4 Continuity and the Power Chain Rule -- 5 Derivatives of the Exponential and Logarithm Functions -- 6 Derivatives of Products, Quotients, and Compositions -- 7 Derivatives of Trigonometric Functions -- 8 Applications of Derivatives -- 9 The Mean Value Theorem and Taylor's Polynomials -- 10 Partial Derivatives and the Diffusion Equation -- 11 The Integral -- 12 The Fundamental Theorem of Calculus -- 13 Applications of the Fundamental Theorem of Calculus…”
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Calculus for the Life Sciences A Modeling Approach
Published 2013Subjects: Access online version
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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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