David Aristoff's homepage Math 450 (Fall 2015)

syllabus

Class times: 12:00 pm - 12:50 pm, MWF, Engineering E 206, Aug 24, 2015 - Dec 13, 2015
Office hours (updated 10/21): M 10:50-11:50, Tues 12:00-1:00, F 1:00-2:00, Weber Hall 221
Course material: Chapters 1-4, 7-8 of W. Cheney and D. Kincaid's "Numerical Mathematics and Computing (sixth edition)"

Weber 205/206 FAQ

Midterm dates: Sept 30, Nov 2, Dec 2

The final exam is cumulative. You may bring two pages of notes with writing on both sides.


Reading:

8/24-8/28: Chapter 1
8/31-9/11: Chapter 2
9/14-9/25: Chapter 3
9/30-10/23: Chapter 4
10/26-11/9: Chapter 7
11/11-12/11: Chapter 8


Homework:

For computer problems, you should print the script you used as well as the output.
You may use any of the scripts below for computations.

Due Friday 9/4: Problems 1.1 #11a,c,d, #12a,c,d; Problems 1.2 #10,13,14,29,31
Due Friday 9/11: Problems 2.1 #1a,b, #3, #5a,b,c,e,f,g,h, #11, #24, #29
Due Friday 9/18: Problems 2.2 #2,3,7,14,21, Computer problems 2.2 #8
Due Monday 9/28: Computer problems 3.1 #1, Problems 3.2 #1,2,6,10, Computer problems 3.2 #7,19
Due Monday 10/12: Problems 4.1 #6,7b,10,20,21, Computer problems 4.1 #1,2,9
Due Wednesday 10/21: Problems 4.1 #43,46, Problems 4.2 #2,3,4,18, Computer problems 4.2 #9 (hint: look at sin_interp_error script below)
Due Wednesday 10/28: Problems 4.3 #3,5,7,10,14, Computer problems 4.3 #4
Due Monday 11/9: Problems 7.1 #3c,d, 7d,e, Computer Problems 7.1 #3
Due Wednesday 11/18: Problems 7.3 #4,6, Problems 8.1 #1b,c, 2b, 4a, 11, Computer problems 8.1 #11
Due Wednesday 12/2: Problems 8.2 #6,7,8,11, Computer problems 8.2 #2,7
Due Friday 12/11: Problems 8.3 #8,12,13, Problems 8.4 #2,4,5,6, Computer problems 8.4 #4

Suggested problems:

Problems 2.1 #15, Problems 3.2 #9, Problems 3.3 #2,5, Problems 4.1 #5,26, Problems 4.2 #6,9,10, Computer problems 4.2 #7,
Problems 7.1 #2,6, Computer problems 7.1 #1,5, Computer problems 7.3 #6, Problems 8.1 #6,21,22
Computer problems 8.1 #6, Problems 8.2 #3, Problems 8.3 #4, 17-19, Computer problems 8.4 #2


Scripts:

8/24-8/28: horners, horners_coeff, horners_full, taylor_error, taylor_approx_plots, taylor_error_plots
8/31-9/4: hw_11_c, hw_12_d, binary_calculator, machine_numbers, complete_binary_calculator, reverse_binary_calculator, complete_reverse_binary_calculator
9/14-9/18: loss_of_significance, bisection_intervals, false_position, newtons_method, modified_newtons, newton_compare, section 2.2 #8
9/21-9/25: computing_ln_2, newton_failure, newton_2d, secant_method, secant_method2
9/28-10/2: section 3.1 #1, section 3.2 #7, section 3.2 #19, interp_naive, interp, interp_evaluate, interp_rootfinder
10/5-10/9: section 4.1 #1, section 4.1 #2, section 4.1 #9
10/12-10/16: runge_function, runge_function_chebyshev, runge_derivs, sin_interp_error, chebyshev_polys.m
10/19-10/23: section 4.2 #9, how_many_nodes, deriv_naive, deriv_compare
10/26-10/30: least_squares_ex, least_squares, gauss_naive, vandermonde, section 4.3 #4
11/2-11/6: tridiag, random_walk, section 7.1 #3
11/9-11/13: LU_fact, LDLt_fact, cholesky_fact, cholesky_fast_fact, section 8.1 #11
11/16-11/20: condition_number, richardson, richardson_error, jacobi, gauss_seidel, SOR
12/7-12/11: section 8.2 #2, section 8.2 #7, SVD, image_processing, power_method, inverse_power_method, shifted_inverse_power_method, section 8.4 #4


selected solutions (updated 12/12)

midterm 1 solutions
midterm 2 solutions
midterm 3 solutions


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