Weeks | Topics |
1 |
Chapter 1 - Introduction to Computational methods: Representations of Numbers in Computer, Digital Error Types
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2 |
Chapter 2- Numerical Derivatives and Integrals: Numerical Derivatives, Forward, Backward and Comparison of Symmetric Derivatives, Application: Variable Force in the one Dimension
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3 |
Numerical Integral-Simpson and Trapez Formulas, Subprograms, Comparison of the Simpson and Trapez Formulas.
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4 |
Gauss integrals, Subprograms
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5 |
Singular Integrals, Application: Exact Solution of the Simple Pendulum
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6 |
Chapter 3 - Root Finder: Interval Half Method, Beam Method
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7 |
Newton-Raphson Method
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8 |
Applications: Ising Model.
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9 |
Midterm
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10 |
Black-Body Radiation, Square Well Potential
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11 |
Chapter 4 - Differential Equations I: Initial Value Problems: Euler Methods, Runge-Kutta Method.
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12 |
Second Order Equations and Linear Equations Systems, Applications: Hunt-hunter Model.
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13 |
Projection Movement With Air Friction, Movement of Planets
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14 |
Van der Pol oscillator, Chaos in the Lorenz model.
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