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- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/14%3A_Fundamentals_of_Engineering/14.06%3A_CalculusA quick introduction to calculus as a theory, the techniques are in later sections. This is not a substitute for calculus class.
- https://eng.libretexts.org/Courses/Arkansas_Tech_University/Engineering_Modeling_and_Analysis_with_Python/13%3A_Statistics_Probability_and_Interpolation/13.04%3A_InterpolationThis page discusses interpolation, a method to estimate new data points within a range of known ones, useful in data analysis, signal processing, and engineering. It covers common techniques such as l...This page discusses interpolation, a method to estimate new data points within a range of known ones, useful in data analysis, signal processing, and engineering. It covers common techniques such as linear, polynomial, and spline interpolation, highlighting Python's SciPy library for executing these methods. The content also features examples of linear and cubic spline interpolation, along with visualization techniques using Matplotlib.
- https://eng.libretexts.org/Courses/Arkansas_Tech_University/Engineering_Modeling_and_Analysis_with_Python/15%3A_Dynamic_Systems/15.01%3A_Numerical_IntegrationThis page explains numerical integration, including methods like the Trapezoidal Rule and Simpson's Rule for approximating definite integrals when analytical solutions are unavailable. It highlights t...This page explains numerical integration, including methods like the Trapezoidal Rule and Simpson's Rule for approximating definite integrals when analytical solutions are unavailable. It highlights the scipy.integrate module in Python, which offers tools like quad and trapezoid for integration. Examples are provided to illustrate function integration using these methods, along with the related results and error estimates.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/14%3A_Fundamentals_of_Engineering/14.07%3A_Infinitesimal_calculus_for_derivatives/14.7.06%3A_Newtons_MethodIn many areas of pure and applied mathematics, we are interested in finding solutions to an equation of the form f(x)=0. For most functions, however, it is difficult—if not impossible—to calculate t...In many areas of pure and applied mathematics, we are interested in finding solutions to an equation of the form f(x)=0. For most functions, however, it is difficult—if not impossible—to calculate their zeroes explicitly. In this section, we take a look at a technique that provides a very efficient way of approximating the zeroes of functions. This technique makes use of tangent line approximations and is behind the method used often by calculators and computers to find zeroes.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/10%3A_Parachute_PersonA simple physics problem of a person parachuting is solved in a simplistic manner. This problem is then converted into a program as an example of how engineers/scientists would use programming.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/18%3A_Advanced_Programming_Concepts/18.01%3A_Analysis_MethodsThis is a review of some of the basic analysis techniques. It is not intended to be complete for all engineering, it is just a start.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Fundamentals_of_Foundation_Engineering_and_their_Applications_2e/05%3A_BEARING_CAPACITY_OF_SHALLOW_FOUNDATIONS/5.12%3A_Example_5.2This page details the numerical estimation of short-term undrained collapse load for footings using PLAXIS software. It describes methods to validate the analytical collapse load and examines footings...This page details the numerical estimation of short-term undrained collapse load for footings using PLAXIS software. It describes methods to validate the analytical collapse load and examines footings at a specific depth through total stress analysis with the Undrained Mohr-Coulomb model. The findings reveal a strong correlation between numerical and analytical bearing capacities, confirming the numerical approach's effectiveness in undrained conditions.
- https://eng.libretexts.org/Courses/Arkansas_Tech_University/Engineering_Modeling_and_Analysis_with_Python/15%3A_Dynamic_Systems/15.05%3A_SummaryThis page discusses the importance of numerical methods in scientific computing for solving complex mathematical problems, including integration, differentiation, and ordinary differential equations (...This page discusses the importance of numerical methods in scientific computing for solving complex mathematical problems, including integration, differentiation, and ordinary differential equations (ODEs). It highlights techniques like numerical integration using the trapezoidal and Simpson's rules, and differentiation through finite differences.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Fundamentals_of_Foundation_Engineering_and_their_Applications_2e/05%3A_BEARING_CAPACITY_OF_SHALLOW_FOUNDATIONS/5.05%3A_Bearing_capacity_of_footings_on_layered_soilsThis page examines foundational engineering principles, emphasizing the critical thickness of the soil layer and the need to assess failure surfaces in non-uniform profiles. It covers strategies for e...This page examines foundational engineering principles, emphasizing the critical thickness of the soil layer and the need to assess failure surfaces in non-uniform profiles. It covers strategies for estimating bearing capacity in various scenarios, such as soft clay over stiff layers, and encourages the excavation of weak soils or alternative filling for stability. Additionally, it references Salimi Eshkevari et al.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/05%3A_General_Stress_Analysis/5.04%3A_Linear_ViscoelasticityThis page presents an overview of linear viscoelasticity, detailing the mechanical response of polymers and composites, including molecular mechanisms like entropic elasticity and the impact of the gl...This page presents an overview of linear viscoelasticity, detailing the mechanical response of polymers and composites, including molecular mechanisms like entropic elasticity and the impact of the glass transition temperature (Tg). It includes discussions on creep compliance, stress relaxation, and models like the Maxwell and Standard Linear Solid (SLS) models, emphasizing stress-strain relationships.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/14%3A_Fundamentals_of_Engineering/14.11%3A_Mechanics/14.11.04%3A_Solid_MechanicsSolid mechanics deals deformations of bodies (such as stresses and strains). Sometimes this is referred to materials which can be confused with materials science. Solid mechanics is a better term.
