Welcome to MthSc 365 Section 2 Numerical Methods for Engineers (Spring 2014)

1. This site: http://www.math.clemson.edu/~heister/math365-spring2014/
2. Blackboard: http://bb.clemson.edu
3. Syllabus (see blackboard)
4. Lecture notes (on blackboard)
5. Homework (on blackboard)

See http://www.registrar.clemson.edu/pdf/academicCalendar.pdf and http://www.registrar.clemson.edu/html/examSched.htm for important dates.

Schedule (Chapters refer to the lecture notes):

• January 8:
  • Introduction
  • Syllabus
  • Chapter 1.1, 1.2: numerical methods, analytical solution
• January 10:
  • 1.3: Convergence
  • 2.1: Binary Numbers
• January 13:
  • 2.2, 2.3: binary floating point numbers
• January 15:
  • Matlab introduction
• January 17:
  • finish 2.3
• January 22:
  • work on homework 3
• January 24:
  • recursion example
  • Taylor Series/Theorem (3)
  • Forward/Backwards Difference Formula (3.1.1)
• January 27:
  • FD/BD order
  • Centered Difference (3.1.2)
• January 31:
  • work on MATLAB homework
• February 3:
  • three point formulas
  • second order derivatives
  • intro: finite differences
• February 5:
  • finite difference demo
• February 7:
  • lab: finite differences
• February 10:
  • convection-diffusion-reaction equation (finish chapter 3)
• February 17:
  • bisection algorithm (chapter 4)
• February 19:
  • lab work
• February 21:
  • lab work
• February 24:
  • midterm1
• February 26:
  • Newton's method
• February 28:
  • finish chapter 4:
  • Secant method, Newton in higher dimensions
• March 3:
  • summary nonlinear methods
  • intro: linear systems
  • Algorithm: Backsubstitution
• March 31:
  • work on HW12
• April 2:
  • curve fitting (7)
  • Intro: numerical integration (Ch 8)
  • Newton Cotes formulas