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| Date | Topic | Text | Assignments |
| Jan. |
14 |
Introduction, Overview |
CK (Chap 1) |
| Number Representation and
Significance |
| Jan. |
16 |
Representation Choices |
CK (Chap 2) |
| Jan. |
18 |
More on Representation |
CK (Chap 2) |
| Jan. |
21 |
Measuring Loss of Significance |
CK (Chap 2) |
HW1 out |
| Root Finding |
| Jan. |
23 |
Basics, Bisection |
CK (Chap 3) |
| Jan. |
25 |
Newton's Method |
CK (Chap 3) |
| Jan. |
28 |
Secant Method |
CK (Chap 3) |
| Interpolation and
Numerical Differentiation |
| Jan. |
30 |
Basics of Interpolation |
CK (Chap 4) |
HW1 due; HW2 out |
| Feb. |
1 |
Polynomial Interpolation |
CK (Chap 4) |
| Feb. |
4 |
Polynomial Interpolation (contd.) |
CK (Chap 4) |
|
| Feb. |
6 |
Errors in Interpolation |
CK (Chap 4) |
HW2 due; HW3 out |
| Feb. |
8 |
More on Errors, Derivatives |
CK (Chap 4) |
|
| Feb. |
11 |
Numerical Differentiation |
CK (Chap 4) |
|
| Feb. |
13 |
Numerical Differentiation |
CK (Chap 4) |
HW3 due; HW4 out |
| Numerical Quadrature |
| Feb. |
15 |
Basics |
CK (Chap 5) |
|
| Feb. |
18 |
Quadrature Rules |
CK (Chap 5) |
|
| Feb. |
20 |
Example Rules and Error Analysis |
CK (Chap 5) |
HW4 due |
| Feb. |
22 |
Exam 1 |
|
|
| Feb. |
25 |
Gaussian Quadrature |
CK (Chap 5) |
|
| Feb. |
27 |
Adaptive Quadrature |
CK (Chap 5) |
|
| Mar. |
1 |
More on Quadrature |
CK (Chap 5) |
HW5 out |
| Spring Break |
| Linear Systems |
| Mar. |
11 |
Basics |
CK (Chap 6) |
|
| Mar. |
13 |
Gaussian Elimination |
CK (Chap 6) |
|
| Mar. |
15 |
Pivoting and Analysis |
CK (Chap 6) |
HW5 due; HW6 out |
| Mar. |
18 |
LU Factorization |
CK (Chap 6) |
|
| Mar. |
20 |
Iterative Solution |
CK (Chap 6) |
HW6 due; HW7 out |
| Mar. |
22 |
Iterative Solution (contd.) |
CK (Chap 6) |
|
| Mar. |
25 |
Iterative Solution (contd.) |
CK (Chap 6) |
|
| Mar. |
27 |
Iterative Solution (convergence) |
CK (Chap 6) |
HW7 due |
| Approximation |
| Mar. |
29 |
.... |
CK (Chap 7) |
HW8 out |
| Apr. |
1 |
.... |
CK (Chap 7) |
|
| Apr. |
3 |
.... |
CK (Chap 7) |
HW8 due; HW9 out |
| Apr. |
5 |
.... |
CK (Chap 7) |
|
| Apr. |
8 |
.... |
CK (Chap 7) |
HW 9 due |
| Apr. |
10 |
Exam 2 |
|
|
| ODEs |
| Apr. |
12 |
.... |
CK (Chap 8) |
|
| Apr. |
15 |
.... |
CK (Chap 8) |
|
| Apr. |
17 |
.... |
CK (Chap 8) |
|
| Apr. |
19 |
.... |
|
HW10 out |
| Misc. Topics |
| Apr. |
22 |
Systems of ODEs |
CK (Chap 9) |
|
| Apr. |
24 |
Least Squares Methods |
CK (Chap 10) |
|
| Apr. |
26 |
Least Squares Methods |
CK (Chap 10) |
HW10 due |
| Review and Schedule for Slippage |
| Apr. |
29 |
|
|
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| May |
1 |
|
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