Course: Math 260

Title: Introduction to Differential Equations and Linear Algebra

Textbook: Differential Equations and Linear Algebra,

H. Edwards and D. Penny, Prentice Hall 2001.

Week |
Date |
Sec No. |
Description |
Suggested HW Problems |
Remarks |

1 | Sep. 11-15 |
1.1 | Differential Equations and Math Models |
7, 9, 10, 12, 15, 16, 25, 26 | Tue. Sep 14-Last day for adding |

1.2 | Integrals and General and Particular Solutions |
2, 5, 6, 7, 9, 10 | |||

2 | Sep. 18-22 |
1.4 | Separable Equations and Applications |
5, 13, 18, 20, 21, 27, 29, 31 | Tue. Sep. 21 - Last day of dropping courses without permanent record |

1.5 | Linear First Order Equations |
11, 16,19, 21, 22, 25, 26, 28 | |||

3 | Sep. 25-30 |
1.5 | Linear First Order Equations | ||

1.6 | Substitution Methods and Exact Equations |
1, 2, 4, 16, 20, 21, 23, 24, 30, 31, 35, 37, 38, 51, 53 | |||

4 | Oct. 02-06 |
3.1 | Introduction to Linear Systems |
6, 8, 16, 20, 25, 29, 34 | |

3.2 | Matrices and Gauss Elimination |
12, 13, 17, 18, 22, 25, 27 | |||

5 | Oct. 09-13 |
3.3 | Reduced Row-Echelon Matrices |
9, 14, 15, (12, 13, 17, 18 of section 3.3), 32, 35, 36 | |

3.4 | Matrix Operations |
4, 6, 7, 14, 19, 20, 31, 32, 39 | |||

6 | Oct. 16-20 |
3.5 | Inverses of Matrices |
6, 14, 21, 27, 30, 32, 34, 36 | |

3.6 | Determinants |
4, 11, 18, 32, 35, 52 | |||

Monday Oct. 25: Major Exam 1 (Chapter 1 and 3) | |||||

7 | Oct. 23-27 |
4.1 | The Vector Space |
12, 18, 20, 27, 32 | Tue. Oct. .26 - Last day for dropping courses with grade of "W" through Internet |

4.2 | The Vector Space and Subspaces |
2, 4, 6, 13, 16, 17, 19, 23, 26, 27 | |||

8 | Oct. 30-Nov. 03 |
4.3 | Linear Combinations and Independence |
12, 14, 18, 19 | |

4.4 | Bases and Dimension for Vector Spaces |
2, 3, 8, 13, 17, 20 | |||

9 | Nov. 20-24 |
5.1 | Second Order Linear Equations |
5, 12, 18, 24, 25, 33, 39, 40, 43, 45 | |

5.2 | General Solutions of Linear Equations |
4, 9, 10, 15, 18, 24, 25, 26 | |||

10 | Nov. 27-Dec. 01 |
5.3 | Homogeneous Equations with Constant Coeff |
5, 6, 10, 14, 16, 25, 31, 38, 40, 42 |
Wed. Dec.. 01 - last day for withdrawal from all courses with grade of "W" |

5.5 | Undetermined Coefficients |
4, 5, 10, 18, 25, 28, 33, 37, 53, 57, 59 | |||

11 | Dec. 04-08 |
5.5 | Variations of Parameters |
||

6.1 | Introduction to Eigenvalues |
10, 21, 24, 28, 34 | |||

Saturday Dec. 11: Major Exam 2 (Chapter 4 and 5) | |||||

12 | Dec. 11-15 |
6.2 | Diagonalization of Matrices |
Skipped | |

6.3 | Applications involving Powers of Matrices |
Skipped | |||

13 | Dec. 18-22 |
7.1 | First Order Systems and Applications |
3, 4, 8, 9, 19 | |

7.2 | Matrices and Linear Systems |
10, 12, 17, 21, 26, 30 | |||

14 | Dec. 25-29 |
7.3 | The Eigenvalue Method for Linear systems |
7, 9, 12, 17, 22, 25 |
Wed. Dec 29 - Last day for withdrawal from all courses with grade of "WP/WF" |

7.5 | Multiple Eigenvalue Solutions |
1, 3, 7, 9, 23 | |||

15 | Jan 01-03 |
7.5 | Multiple Eigenvalue Solutions |

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*Rules and Regulations*

- No make ups.
- A grade of "DN" will be given if the number of unexcused absences exceeds 8.
- Lateness will count as 1/3 of an absence.
- Student who come late for class are responsible to remind me at the end of the lecture to replace the absence mark to lateness.
- No homework will be collected on a regular basis for grading. However, a set of homework assignments covering one or more sections might be asked for, all at once, on a short notice. The homework problems will not be graded, but a grade will be awarded based on organization of the paper, number of homework problems attempted by the student, following the rules on how to submit a homework paper and, most importantly, the wisdom not to copy the homework from a colleague. Copying will be considered an act of cheating from the facilitator and the copier. Outstanding homework submissions will be awarded extra point which can be used to left deduction points for absences.
- The class will be notified when a section coverage has been completed. Thereafter, it is the responsibility of the student to attempt the homework assignment by the following class meeting. Students will have a chance to ask about the solution of a homework problem. A quiz on the homework (or similar) problems might follow the end of answering questions on the homework problems.
*Grade Distribution*

1 |
First Major | 20% |

2 |
Second Major | 20% |

3 |
Final Exam | 30% |

4 |
Quizzes | 14% |

5 |
Computer Assignments | 8% |

6 |
Attendance | 8% |

TOTAL | 100% |

*Computer Lab*

*Mathcad *and* Maple *and* Mathematica *are mathematical software that are capable of doing symbolic as will as numeric computations. Maple or Mathematica as will as Mathcad will be introduced and used in solving the computer assignments. Application of the software will include: symbolic solutions of differential equations and initial value problems, different procedures for solving linear systems, symbolic manipulation of matrices including the computations of matrix inverse, transpose, and row-reduced echelon form.