MAT360: Numerical Analysis

• Syllabus
• Assignments
• Learning Objectives

• Daily Agendas/Summaries

  Chapter 1: Day 1: Welcome! Day 2: Taylor Polynomials Day 3: Speed Chapter 2: Day 4: Bisection Day 5: Fixed Point Iteration Day 6: FPI, and homework day Day 7: Accelerating convergence Day 8: Newton's method Day 9: Complex Fractal Convergence! Day 10: Roots of Polynomials Day 11: Roots of Polynomials (cont.) Day 12: Roots of Polynomials (cont.) Day 13: Review Day 14: Exam 1

  Chapter 3 (and 5): Day 15: Lagrange Polynomials Day 16: More Lagrange Polynomials Day 17: Newton Polynomials Day 18: Splines Chapter 4: Day 19: Numerical Calculus: motivation Day 20: Homework from 4.1. Day 21: Section 4.2: undetermined coefficients Day 22: Section 4.3: Error analysis Day 23: More Section 4.3, and review Day 24: Exam 2 Day 25: Project Work Day Day 26: Adaptive quadrature Chapter 6: Day 27: ODEs and Taylor Methods Day 28: Runge-Kutta Methods Day 29: Review Day 30: Projects!

• Tea Time Numerical Analysis:
  • Our Textbook: Tea Time Numerical Analysis (Leon Q. Brin)
  • GitHub site
  • Octave files provided by the author
  • I installed octave on my mac using these instructions.
  • We'll probably be using Octave Online in class. You should visit that site, and then issue the command enroll("NKU_MAT360_2024") so that I can see your work; when you want to unenroll, issue the command enroll("default")
• Mathematical prelimaries
• Some useful Mathematica files
• Numerical Recipes
• Abramowitz and Stegun: Handbook of Mathematical Functions
• mat360.lsp -- some lisp routines I may use throughout the semester
• norsemathology.org wiki materials

Notes:

• Feel free to email me with your questions.
• Departmental Syllabus
• Taking tests in my classes
• Suggestions for the NKU Math/CS student