# Homework, quizzes and exams¶

## Homework¶

All homework is **due at the start of class on Thursdays.** No late homework will be accepted.

Week to hand in | Problems to hand in |
---|---|

2 | SJL Section 1.1: 1(a,b,d), 2(a,c), 3(a,b,d), 4(a,b,c), 5(a,b,c), 6(a,c,f), 7, 8. SJL Section 1.2: 1, 2, 3, 5(a,c,e,f,h). |

3 | SJL Section 1.2: 6(a,d), 8, 11, 12. SJL Section 1.3: 1, 2, 3, 4, 5(a,c), 8, 9, 10, 15 (28 in 7th edition). |

4 |
SJL Section 1.5: 1, 2, 8(a,d),15 10(a,f), 12 (a,d); SJL Section 2.1: 1, 2.
SJL Section 1.4: 1, 2, 8(a,d), 10(a,f), 12 (a,d), SJL Section 2.1: 1, 2. |

5 | SJL Section 2.1: 3(a,d,f,g,h), 4, 5, 6, SJL Section 2.2: 1, 2, 3(a,c,e,f), 4, 5, 7(c,d), 9, 12(a). |

6 | SJL Section 2.3: 1(a,c), 2(a,c,d), 3, 5(a,b), 8, SJL Section 3.1: 3, 6, 7, 9, 10, 14, SJL Section 3.2, SJL Section 3.2, |

8 | SJL Section 3.3, SJL Section 3.3, SJL Section 3.4: 3, 4, 5(a,b,c), 7, 10, 14(c,d), SJL Section 3.5: 1(a), 2(a), 3, 4, 5, 6, 7, 8, 10. |

10 | SJL Section 3.6, SJL Section 3.6, SJL Section 4.1: 1(a,b,d), 3, 4, 5(a,c,d), 6(a,d), 8(a,c),10, SJL Section 4.2: 1, 2(a,b,c), 3(a,b), 4(a), 5(a,b,c). |

11 | SJL Section 4.3: 1(a,b,e), SJL Section 5.1: 1(a,b), 2(a,b), 3(a,c), 4, 7, SJL Section 5.2: 1(a,b,c,d), 2. |

13 | SJL Section 5.3: 1(a,c), 3(a), 5, 6, SJL Section 5.4: 1, 2, 3, 5, 9. |

14 | SJL Section 5.5: 1, 2, 3, 6, 8, SJL Section 5.6: 1(a), 3, 4, 5, 8, |

15 | SJL Section 6.1: 1(a,c,f,g,k), 2, 3,
8 (6 in SJL Section 6.1: 1(d,e), SJL Section 6.2: 1(a,b,d,e), 2(a,b), 3, 4, 5, SJL Section 6.3: 1(a,c), 2(a,c), 6, 7. |

## Quizes¶

All quizes will be on Tuesdays. You can find old quizes and solutions here Quizes and solutions.

Week for quiz | Topic | Quiz and solution |
---|---|---|

2 | Gauss-Jordan reduction. | |

4 | Calculation of inverse matrix using Gauss-Jordan reduction for an augmented matrix. | |

5 | LU-factorization. | |

8 | Change of bases. | |

11 | Linear maps and transformations. | |

12 | Vector product. | |

13 | Least squares method. | |

15 | Eigenvalues. | |

16 | IVP for ODE. |

## Exams¶

Exam 1 will be on Tuesday, Feb. 24.

Topics: All section covered up to and including 3.3.

Additional training for Exam 1:

- SJL Section 1.2, p. 24: 6(d),
- SJL Section 1.3, p. 42: 1(h),
- SJL Section 1.5, p. 66: 8(d),
- SJL Section 2.2, p. 97: 3(e), 4, 5 (Hint: use induction),
- SJL Section 2.3, p. 105: 1(c), 2(c),
- SJL Section 3.2, p. 126: 10(c),
- For SJL Section 3.3 do your HW above.

Exam 2 will be on Tuesday, March 31.

Topics: SJL Sections 3.3-5.1.

Additional training for Exam 2:

- SJL Section 3.3, p. 137: 9(a),
- SJL Section 3.4, p. 143: 10, 14(c),
- SJL Section 3.5, p. 153: 1(a), 10,
- SJL Section 3.6, p. 159: 4(d), 15,
- SJL Section 4.1, p. 174: 4, 6(a),
- SJL Section 4.2, p. 187: 4(a),
- For SJL Sections 4.3, 5.1, and 5.2 do your HW above.

The Final Exam will be on ????

Topics:

- Solution of systems of linear equations by Gauss-Jordan elimination (SJL Section 1.2, p. 23: 5(d,e,k)),
- LU-factorization (SJL Section 1.5, p. 66: 8(a,d)),
- Change of bases (SJL Section 3.5, p. 153: 3, 6),
- Least squares method (SJL Section 5.3, p. 231: 5, 6),
- QR-factorization (SJL Section 5.6, p. 268: 5, 8 (find QR for A=(x1,x2,x3)),
- Gram-Schmidt orthogonalization for functions,
- Linear independence of functions (SJL Section 3.3, p. 137: 8(a,c), 9(a), SJL Section 5.6, p. 268: 4),
- Systems of ODEs (SJL Section 6.2, p. 305: 2(a,b)),
- Diagonalization of matrices (SJL Section 6.3, p. 322: 1(a,c), 2).