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Homework 7
- Section 6.3 Fourier Series: Scalar Product Spaces
- Read Section 6.3. Do Problem 6.37. WeBWorK reading question due November 17 @ 9:45 am.
- In class (group work): 6.38
- Homework: 6.39, 6.40, 6.41 (use cosines), 6.43, 6.45, 6.46, 6.50, 6.51, 6.53
- Hand In: 6.41, 6.43, 6.50
- Section 6.4 Orthogonal Matrices
- Read Section 6.4. Do the True/False questions (pp. 363-364). Do Problems 6.58, 6.60(b). WeBWorK reading question due November 22 @ 9:45 am.
- In class (group work): 6.60(a), 6.73(b)
- Homework: 6.60(c), 6.61, 6.62, 6.64, 6.67, 6.73(a)(c), 6.75, 6.76
- Hand In: 6.61(b), 6.73(c)
- Section 6.5 Least Squares
- Read Section 6.5. Do Problem 6.79. WeBWorK reading question due November 29 @ 9:45 am.
- In class (group work): 6.82, 6.85
- Homework: 6.83, 6.86, 6.89, 6.91, 6.92, 6.93
- Hand In: 6.86, 6.93, plus the following problem:
- Find the least squares best fit line \(y = a + bt\) to the four points \((t,y) = (0,1),(1,6),(3,13),(4,18)\). Also compute the predicted values vector \(B_0\) of \(y\) for each of the given \(t\) values, and then compute the error vector \(B_1 = B - B_0\).
- WeBWorK assignment due December 6 @ 11 pm
- Section 6.6 Quadratic Forms: Orthogonal Diagonalization
- Read Section 6.6. Do the True/False questions (pp. 391-392). Do Problems 6.95, 6.96. WeBWorK reading question due December 3 @ 9:45 am.
- In class (group work): 6.97(a), 6.98(b), 6.102
- Homework: 6.97(c)(e), 6.98(c)(d), 6.100, 6.104, 6.105, 6.112
- Hand In: 6.97(e) (identify the surface type), 6.100