Office: 376 Carver
Office Hours: 12:20-1:10 MTWRF
Textbook: Linear Algebra and it's Applications, 3rd ed, by David C Lay
Class Meetings: Class will meet in Carver 298, from 9:50 - 10:50 MTWRF. The student will be expected to have read the section(s) in the text that will be discussed for that day. See the Course Calendar for approximate dates.
Math Help Room (Carver 385): The summer hours for the Mathematics Help Room are Monday, Wednesday, and Thursday, 9:00am-11:00am and 1:30pm-3:30pm. The Math Help Room is staffed by graduate students in mathematics, and you are strongly encouraged to make use of this excelent resource.
Grading: There will be six major one hour exams, covering chapters 1 thru 6. The tenative dates for these are on the Course Calendar below. In addition, selected problems from the homework assignments will be collected weekly, and attendance will be recorded. There will be a total of 1000 points possible. The precise percentage cuttoffs (100%= 1000 points) will be determined at the end of the semester. the cuttoffs will be no higher than 90% / 80% / 70% / 60%. Pluses or minuses will be given as appropriate. For example, a student who recieves at least 90% of the 1000 points possible will be guarenteed an A- . The maximum point distribution will be as follows:
| Attendence (2 points per day for 38 days) | 76 |
| Homework (12 points per assignment for 32 assignments) | 384 |
| Exams (90 points per exam for 6 exams) | 540 |
| Total | 1000 |
Homework: Homework will be assigned, and will be collected weekly. Each week's homework will be collected on the following Monday, except for the last week's homework, which will be collected on the last day of class.
The homework assignments for each section follows. The underlined problems will be turned in for grading.
| Section | Homework Assignment |
|---|---|
| 1.1 | 8, 10, 12, 14, 16, 18, 20, 22 |
| 1.2 | 2, 6, 8, 10, 12, 14, 16, 18 |
| 1.3 | 6, 8, 10, 12, 14, 18 |
| 1.4 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 22 |
| 1.5 | 2, 4, 6, 8, 10, 12, 14, 16, 18 |
| 1.7 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 |
| 1.8 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 24, 25, 26, 29, 30, 34 |
| 1.9 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 26(correction: should refer to problem 18, not problem 2), 28(correction: should refer to problem 20, not problem 14) |
| 2.1 | 2, 4, 6, 8, 10, 23, 24, 25 |
| 2.2 | 1, 5, 7, 14, 16, 18, 30,32 |
| 2.3 | 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 28 |
| 2.5 | 2, 4, 6, 8, 10, 12, 14, 16, 22, 25, 26 |
| 3.1 | 1, 5, 9, 13, 20, 22, 24, 26, 28, 29, 30, 33, 34, 35, 36 |
| 3.2 | 5, 7, 9, 16, 18, 20, 23, 25, 31, 32, 33, 34, 35, 36 |
| 3.3 | 4, 6, 14, 16, 22, 24 |
| 4.1 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 20, 21, 22, 32, 33 |
| 4.2 | 2, 4, 6, 18, 20, 24, 30 |
| 4.3 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 23, 24, 25 |
| 4.4 | 2, 4, 6, 8, 10, 12, 14, 28, 30, 32 |
| 4.5 | 2, 4, 6, 8, 10, 12, 14, 16, 18 |
| 4.6 | 2, 4, 6, 8, 10, 12, 14, 16, |
| 4.7 | 2, 4, 6, 8, 10, 14 |
| 5.1 | 2, 6, 8, 12, 14, 16 |
| 5.2 | 6, 8, 12, 14, 16, 18 |
| 5.3 | 2, 4, 6, 12, 14, 20 |
| 5.4 | 2, 4, 6, 10, 12, 14, 16, 19, 20, 21 |
| 6.1 | 2, 6, 8, 10, 16, 18, 27, 28, 29, 30 |
| 6.2 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 |
| 6.3 | 2, 5, 6, 9, 10, 11, 12, 14, 16, 18 |
| 6.4 | 2, 4, 6, 8, 10, 12 |
Attendance: This course, when taught in the summer, lasts 8 weeks, and therefore proceeds at a rather rapid pace. It is essential that the student keep up with the material, and attend each class faithfully. Attendence will be recorded, and will count for 76 points towards the student's grade (2 points per day).
Missed Exams / Makeups: Makeup Exams will not be given, except for documented emergencies and illness where the student has contacted the instructor in advance. Having to work is not an acceptable excuse for missing an exam. In the event where an emergency prevents advance notification, contact and arrangements should be made as soon as possible after the exam (definately within 48 hours of the missed exam).
Course Calendar: (Approximate)
| Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|
| May 16 § 1.1 Systems of Linear Equations |
May 17 |
May 18 § 1.3 Vector Equations |
May 19 § 1.4 The Matrix Equation Ax=b |
May 20 § 1.5 Solution Sets of Linear Systems |
| May 23 § 1.7 Linear Independence |
May 24 § 1.8 Introduction to Linear Transformations |
May 25 § 1.9 The Matrix of a Linear Transformation |
May 26 § 2.1 Matrix Operations |
May 27 Exam 1 (Chapter 1) |
| May 30 Holiday: No class |
May 31 § 2.2 The Inverse of a Matrix |
June 1 § 2.3 Characterizations of Invertible Matrices |
June 2 § 2.5 Matrix Factorizations |
June 3 § 3.1 Introduction to Determinants |
| June 6 § 3.2 Properties of Determinants |
June 7 § 3.3 Cramer's Rule, Volume, and Linear Transformations |
June 8 REVIEW |
June 9 Exam 2 (Chapters 2 and 3) |
June 10 § 4.1 Vector Spaces and Subspaces |
| June 13 § 4.2 Null Spaces, column Spaces, and Linear Transformations |
June 14 § 4.3 Linearly Independent Sets; Bases |
June 15 § 4.4 Coordinate Systems |
June 16 § 4.5 The Dimension of a Vector Space |
June 17 § 4.6 Rank |
| June 20 § 4.7 Change of Basis |
June 21 REVIEW |
June 22 Exam 3 (Chapter 4) |
June 23 § 5.1 Eigenvectors and Eigenvalues |
June 24 § 5.2 The Characteristic Equation |
| June 27 § 5.3 Diagonalization |
June 28 § 5.4 Eigenvectors and Linear Transformations |
June 29 § 5.5 Complex Eigenvalues |
June 30 § 6.1 Inner Product, Length, and Orthogonality |
July 1 § 6.2 Orthogonal Sets |
| July 4 Holiday: No class |
July 5 § 6.3 Orthogonal Projections |
July 6 § 6.4 The Gram-Schmidt Process |
July 7 REVIEW |
July 8 Exam 4 (Chapters 5 and 6) |
Please address any special needs or special accommodations with me at the beginning of the semester or as soon as you become aware of your needs. Those seeking accommodations based on disabilities should obtain a Student Academic Accommodation Request (SAAR) form from the Disability Resources (DR) office (515-294-6624). DR is located on the main floor of the Student Services Building, Room 1076.