MATH 3368-01: Numerical Methods

Syllabus

Notes:

Sec 1.2: Number Representation in Computer

Sec 2.2: Method of Bisection

Sec 2.5 Newton's Method

Sec 2.6 Secant Mathod

Sec 4.2.1 Lagrange Interpolating Polynomial

Sec 4.2.2 Divided differences and Newton's Interpolating Polynomial

Sec 5.6.1 Quadrature's Rule

Sec 5.6.2 Composite Quadrature's Rule

Sec 5.8 Romberg Integration

Sec 5.2&5.3 Numerical Differentiation

Sec 6.1 Introduction to Initial Value Problem of Ordinary Differential Equations (ODEs)

Sec 6.3.1-6.3.3: Euler's and Taylor's methods

Sec 6.3.4-6.3.6: Runge-Kutta methods

Sec 6.6-6.7 Systems and higher-order differential equations

Sec3.1-3.2 Review for Matric Algebra

Sec 3.4 Gaussian Elimination and LU Decomposition Methods

Practice Test

• Midterm
• Final Exam

Projects:

• Project One
• Project Two
• Project Three
• Project Four (Due April 30)

Tentative Test/Exam Schedule