Weeks | Topics |
1 |
Mathematical Foundations and Error Analysis
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2 |
Roots of nonlinear algebraic equations: Implicit Methods (Bisection Method, False Position Method)
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3 |
Roots of nonlinear algebraic equations: Explicit Methods (Fixed Point Iteration, Newton-Raphson Method, Secant Method)
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4 |
Curve Fitting: Least squares regression (Linear regression, Polynomial regression, Multiple linear regression)
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5 |
Curve Fitting: Linearization of nonlinear relations
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6 |
Interpolation (Newton and Lagrange interpolation polynomials)
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7 |
Extrapolation, Inverse Interpolation
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8 |
Numerical Differentiation and Integration (Introduction): Numerical Integration (Trapezoidal Rule)
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9 |
Numerical Integration (Simpson's Rules, Integration with unequal segments)
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10 |
Numerical Differentiation (Finite divided difference formulas)
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11 |
Numerical Solution of Ordinary Differential Equations (Introduction): Euler's Method, Heun's method
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12 |
Numerical Solution of Ordinary Differential Equations: Runge-Kutta Methods, Systems of ODE's
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13 |
Boundary-Value Problems for ODEs
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14 |
Numerical Analysis Applications in Chemical Engineering
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