Search Results - "numerical integration"
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Quantitative Biology: Dynamics of Living Systems
Published 2017Subjects: “…numerical integration…”
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Computational Methods and Applications for Numerical Analysis
Published 2023Subjects: “…numerical integration…”
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Mathematical Methods, Modelling and Applications
Published 2022Subjects: “…numerical integration…”
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A Brief Introduction to Engineering Computation with MATLAB
Published 2011Table of Contents: “…Chapter 1: Introduction -- Chapter 2: Getting Started -- Chapter 3: Graphics -- Chapter 4: Introductory Programming -- Chapter 5: Interpolation -- Chapter 6: Numerical Integration -- Chapter 7: Regression Analysis -- Chapter 8: Publishing with MATLAB…”
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Numerical Methods for Ordinary Differential Equations
Published 2023Table of Contents: “…Introduction -- Interpolation -- Numerical differentiation -- Nonlinear equatitons -- Numerical integration -- Numberical time integration of initial-value problems -- The finite-difference method for boundary-value problems -- The instationary heat equation…”
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Introduction to GNU Octave A brief tutorial for linear algebra and calculus students
Published 2017Table of Contents: “…Contents -- Preface -- 1 Basic operation -- 1.1 Introduction -- 1.2 Navigating the GUI -- 1.3 Matrices and vectors -- 1.4 Plotting -- Chapter 1 Exercises -- 2 Matrices and linear systems -- 2.1 Linear systems -- 2.2 Polynomial curve fitting -- 2.3 Matrix transformations -- Chapter 2 Exercises -- 3 Calculus -- 3.1 Limits, sequences, and series -- 3.2 Numerical integration -- 3.3 Parametric, polar, and implicit functions -- 3.4 Complex variables -- 3.5 Special functions -- 3.6 Symbolic operations -- Chapter 3 Exercises -- 4 Eigenvalue problems -- 4.1 Eigenvalues and eigenvectors -- 4.2 Markov chains -- 4.3 Diagonalization -- 4.4 Singular value decomposition -- 4.5 Gram-Schmidt and the QR algorithm -- Chapter 4 Exercises -- 5 Additional topics -- 5.1 Three dimensional graphs -- 5.2 Multiple integrals -- 5.3 Vector fields -- 5.4 Statistics -- 5.5 Differential equations -- Chapter 5 Exercises -- 6 Applied projects -- 6.1 SVD and digital image compression -- 6.2 The Gini index and nonlinear curve-fitting -- 6.3 Designing a helical strake: arc length and curvature -- 6.4 Modeling a cave passage: cubic spline curves -- 6.5 Graphs of surfaces and 3D-printing -- A MATLAB compatibility -- B List of Octave commands -- References -- Index…”
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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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Informal Calculus with Applications to Biological and Environmental Sciences
Published 2021Table of Contents: “…Algebra Tips and Tricks: Part I -- Algebra Tips and Tricks Part I (Combining Terms, Distributing, Functions, Graphing) -- Homework for Algebra Tips and Tricks: Part I -- Derivative Introduction -- Ball Toss Project -- Position to Velocity -- Homework: Position to Velocity -- Algebra Tips and Tricks Part II (Piecewise Defined Functions) -- Limits -- Homework: Limits -- Algebra Tips and Tricks Part III (Factoring) -- Algebraic Limits -- Homework: Algebraic Limits -- Instantaneous Velocity -- Homework: Instantaneous Velocity -- Algebra Tips and Tricks IV (Tips for dealing with fractions) -- Definition of Derivative Examples -- Project: Hard Definition of Derivative Problems -- Homework: Examples of the Definition of the Derivative -- Project: Killdeer Migration Speed -- Rules for Derivatives -- Algebra Tips and Tricks Part V (Exponents) -- Power Rule -- Homework: Power Rule -- Algebra Tips and Tricks Part VI (Logarithms) -- Exponentials, Logarithms, and Trig Functions -- Homework: Exponents, Logs, Trig Functions -- Product Rule -- Homework: Product Rule -- Quotient Rule -- Homework: Quotient Rule -- Chain Rule -- Homework: Chain Rule -- Multirule Derivatives -- Homework: Multirule Derivatives -- Anti-derivatives -- Homework: Anti-derivatives -- More Derivative Intuition -- Derivatives and Graphs -- Homework: Derivative Graphs -- Second Derivatives and Interpreting the Derivative -- Homework: Second Derivatives and Interpreting the Derivative -- Optimization -- Homework: Optimization -- Derivatives in Space -- Homework: Derivatives in Space -- Differential Equations -- Recurrance Relations -- Homework: Recurrence Relations -- Introduction to Differential Equations -- Homework: Introduction to Differential Equations -- Understanding Differential Equations -- Homework: Understanding Differential Equations -- Initial Value Problems -- Homework: Initial Value Problems -- Growth and Decay -- Homework: Growth and Decay -- Exploring Graphs of Differential Equations -- Project: Modelling with Differential Equations -- Intuition for Integration -- Introduction to Integrals -- Numeric Integration Techniques -- Homework: Numeric Integration Techniques -- Fundamental Theorem of Calculus -- Homework: The Fundamental Theorem of Calculus -- Project: Measuring Streamflow -- Project: Quake Lake -- Rules for Integration -- Power, exponential, trig, and logarithm rules -- Homework: Power, exponential, trig, and logarithmic rules -- u-substitution -- Homework: u-substitution -- Integral Applications -- Homework: Integral Applications -- Integration by Parts -- Homework: Integration by Parts -- Acknowledgements…”
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