COURSE OUTLINE and HOMEWORK ASSIGNMENTS - subject to minor changes :

L-1 Mon  7 Jan 0.1-3 What is numerical analysis? -- 3,4,5
L-2 Wed  9 Jan 0.4,5 Bisection; Errors -- 8,11,12
L-3 Fri 11 Jan 0.5 Computer Arithmetic -- 17,21,26
L-4 Mon 14 Jan 0.6,7 Measuring Efficiency -- 19,30,34
L-5 Wed 16 Jan 1.1-3 Bisection and Linear Interpolation -- 1,4,6
L-6 Fri 18 Jan 1.4,6 Newton's Method & Fixed-Point Iterations -- 12,25,31
  Mon 21 Jan   Martin Luther King Day - no classes
L-7 Wed 23 Jan 1.11 Errors and Convergence -- 62,65,67
Project 1 due by 1PM, Friday 25 January
L-8 Fri 25 Jan 1.7-9 Polynomial Root Finding -- 37,40,47
L-9 Mon 28 Jan 1.10 Multiple Roots; Golden Section -- 55,59,61
L-10 Wed 30 Jan 2.1,2 Introduction to Linear Algebra -- 3,4,5
L-11 Fri  1 Feb 2.3,4 Elimination Methods -- 7,9,12
L-12 Mon  4 Feb 2.4,5 LU Decomposition -- 14,16,23,25
L-13 Wed  6 Feb 2.6,7,15 Cost of Elimination /= Cramer's Rule -- 19,26,77
L-14 Fri  8 Feb 2.13 Improve Stability by Pivoting -- 65,66,67
L-15 Mon 11 Feb 2.8,9 Norms and Condition Numbers -- 39,41
Project 2 due by 1PM, Wednesday 13 February
L-16 Wed 13 Feb 2.9 Error Propagation -- 42,43,45,46
L-17 Fri 15 Feb 2.12 Multidimensional Newton's Method -- 60,62,63
L-18 Mon 18 Feb   Review for Exam I
L-19 Wed 20 Feb   Exam I on Chapters 0, 1, and 2  
L-20 Fri 22 Feb 3.1,2 Lagrange and Neville Interpolation -- 4,7,8,9
L-21 Mon 25 Feb 3.3 Calculus of Divided Differences -- 23,29,32
L-22 Wed 27 Feb 3.7 Least Squares Approximation -- 62,68,71
L-23 Fri  1 Mar 3.8 Errors and Complexity -- 79,80
L-24 Mon  4 Mar 4.1,2 Chebychev Polynomials -- 5,7,10
L-25 Wed  6 Mar 4.3 Pade' Approximations -- 14,16,17
Project 3 due by 1PM, Friday 8 March
L-26 Fri  8 Mar 5.1-3 Interpolation for Derivatives and Integrals -- 5,18,24
L-27 Mon 11 Mar 5.4,5 Extrapolation; Newton-Cotes Formulas -- 30,32,36
L-28 Wed 13 Mar 5.6-8 Composite Rules -- 46,52,61
L-29 Fri 15 Mar 5.9,10 Gaussian Quadrature -- 63,66,68
L-30 Mon 25 Mar 5.14 Fast Fourier Transform -- 91,94,96
L-31 Wed 27 Mar 5.15 Error Terms -- 99,103,105
L-32 Fri 29 Mar   Review for Exam II
L-33 Mon  1 Apr   Exam II on Chapters 3, 4, and 5  
L-34 Wed  3 Apr 6.1-3 Taylor-Series and Euler Methods -- 2,8,10
Project 4 due by 1PM, Wednesday 5 April
L-35 Fri  5 Apr 6.4,5 Runge-Kutta and Multistep Methods -- 15,21,22
L-36 Mon  8 Apr 6.6-9 Predictor-Corrector Methods -- 27,35,44
L-37 Wed 10 Apr 6.10,11 Convergence and Stability -- 47,53,55
L-38 Fri 12 Apr 7.1,2 The Shooting Method -- 6,8,9
L-39 Mon 15 Apr 7.3,4 Finite Differences -- 14,18,23
L-40 Wed 17 Apr 7.5 Characteristic-Value Problems -- 26,28,31
L-41 Fri 19 Apr 7.6,7 Temperature Distribution -- 44,47,49
L-42 Mon 22 Apr   Review of Chapters 0, 1, and 2
Project 5 due by 1PM, Wednesday 24 April
L-43 Wed 24 Apr   Review of Chapters 3, 4, and 5
L-44 Fri 26 Apr   Review of Chapters 6 and 7
Monday 29 April, 1:00-3:00PM : Final exam -- room to be announced.