Topics: Ordinary Differential Equations, linear constant coefficient equations, initial value problem, integrating factor method, linear variable coefficient equation, Bernoulli equation, separable equation, Euler Homogenous equations, exact differential equation, exponential decay, Newton's cooling law, carbon-14 dating, nonlinear equations, second order linear equations, variable coefficients, Homogenous Constant Coefficients Equations, Euler Equidimensional Equation, Nonhomogeneous Equations, power series, Laplace transform, discontinous sources, Two-Dimensional Homogeneous Systems, Two-Dimensional Phase Portraits, Autonomous Systems, Stability, Boundary Value Problems, linear algebra, matrix algebra, Eigenvalues, Eigenvectors, Diagonalizable Matrices, Matrix Exponential, exponential function

Topics: Surgical Patient, Hemostasis, Surgical Bleeding, Transfusion, Surgical Infections, shock, trauma, burns, wound healing, oncology, transplantation, Minimally Invasive Surgery, Natural Orifice Transluminal Endoscopic Surgery, Single-Incision Laparoscopic Surgery, Molecular Biology, Precision Surgery, Subcutaneous Tissue, skin, breast, head, neck, chest wall, lung, mediatinum, pleura, Congenital Heart Disease, Heart Disease, Acquired Heart Disease, Thoracic Aneurysms, Aortic Dissection, Arterial Disease, Venous disease, Lymphatic Disease, Esophagus, Diaphragmatic Hernia, stomach, Small Intestine, obesity, colon, rectum, anus, appendix, liver, gallbladder, Extrahepatic Biliary System, pancreas, spleen, Abdominal Wall, Omentum, Mesentery, Retroperitoneum, Soft Tissue Sarcoma, Inguinal Hernia, Thyroid, Parathyroid, Adrenal, Pediatric Surgery, Gynecology, urology, Neurosurgery, Orthopedic Surgery, . Plastic surgery, Reconstructive Surgery, Anesthesia.Ethics, Palliative Care, global surgery, Perioperative Care, Enhanced Recovery, Chinese Medicine, Surgical Practice, Ambulatory Surgery, stimulation

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Signals, unit step function, unit ramp function, unit parabolic function, unit impulse function, sinusoidal signal, time shifting, signal analysis, Fourier series, wave symmetry, Fourier spectrum, Gibbs phenomenon, Continuous-time Fourier series, Fourier transform, signal transmission, convolution, time convolution, theorem, signal comparison, energy density spectrum, power density spectrum, density function, sampling, sampling theorem, Anti-Aliasing filter, data reconstruction, Laplace transforms, waveform synthesis, Z-transform, system realization, discrete-time Fourier transform

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method