Numerical Methods – Study materials

Based On

Format

• Open text book.
• The student is allowed a standard scientific (non-graphing calculator, a ruler, and writing utensils.
• No other aids allowed.

Advice

• Root Finding: bracketing methods (Chapter 5), open methods (Chapter 6), roots of polynomials (Chapter 7).
• Solving Systems of Equations: Gauss elimination (Chapter 9), LU decomposition and matrix inversion (Chapter 10), Gauss-Seidel method (Chapter 11). 3. Optimization: one-dimensional unconstrained optimization (Chapter 13), multidimensional unconstrained optimization (Chapter 14), constrained optimization (Chapter 15).
• Curve-fitting: least-squares regression (Chapter 17), interpolation (Chapter 18), Fourier approximation (Chapter 19).
• Numerical Differentiation and Integration: Newton-Cotes integration formulas (Chapter 21), integration of equations (Chapter 22), numerical differentiation (Chapter 23).
• Ordinary Differential Equations: Runge-Kutta methods (Chapter 25), implicit methods (Chapter 26), boundary-value problems (Chapter 27).
• Partial Differential Equations: Finite-difference methods for elliptic equations (Chapter 29) and parabolic equations (Chapter 30).
• Students are encouraged to focus on textbook sections that teach fundamentals of the underlying numerical methods, and pseudocode design for implementing these methods. Sections that teach use of software packages (e.g., MATLAB, MS excel) should receive less attention.

Practice Exam from the GPC.

Academic Dishonesty

Appropriate actions will be taken in response to Academic Dishonesty and defined USU Student Code. Acts of academic dishonesty include, but are not limited to, Cheating, Falsification, Plagiarism, etc..