From the catalogue: Math 307. Theory of Matrices, (3-0) Cr. 3. offered Fall, Spring. Summer Session. Prerequisite: 2 semesters of calculus. (* Calculus is not really necessary *) The algebra of matrices (* Think of matrices as extensions of numbers *) Vector Spaces, (* Chapter 4 *) Simultaneous Linear Equations, (* Chapter 1 *) Determinants, (* Chapter 3 *) Quadratic Forms, (* Chapter 7 *) Eigenvalues, (* Chapter 5 *) Diagonalization (* Chapter 5 *) over the real and complex numbers. (* Very little about Complex Numbers *) Only one of 307, 317 may be counted toward graduation. Non-major graduate credit. Math 307 Spring, 2005 Hentzel Time: 10:00-10:50 MWF Room: 205 Carver hall Instructor: Irvin Roy Hentzel Office 432 Carver Phone 515-294-8141 E-mail: hentzel@iastate.edu Office Hours: to be decided later. I will answer questions in the class room after class and during class. You can always send me questions by e-mail. http://orion.math.iastate.edu/hentzel/class.307.05 Text: Linear Algebra and its Applications, Third Edition David C. Lay Problems are assigned each day. I will work them at the beginning of the next lecture. There will be four in class tests and a final exam. I will cover 1.1, 2,1, 3.1 4.1 5.1 6.1 7.1 1.2 2.2 3.2 4.2 5.2 6.2 7.2 1.3 2.3 3.3 4.3 5.3 6.3 1.4 2.4 4.4 5.4 6.4 1.5 2.5 4.5 5.5 6.5 1.6 2.6 4.6 6.6 1.7 2.7 4.7 5.7 6.7 1.8 2.8 4.8 6.8 1.9 2.9 4.9 1.10 There are four 50 Minute exams: The dates are on: Test #1 January 31 Test #2 February 23 Test #3 March 30 Test #4 April 20 There will be a 2 hour final: The grading scale is: T1 + T2 + T3 + T4 + 2F ------------------------------ 6 0-59 60-61 62 63-64 65-69 70-74 75-79 80-82 83-86 87-89 90-92 93-100 F D- D D+ C- C C+ B- B B+ A- A January 10 1.1 and 1.2 January 12 1.3 January 14 1.4 January 17 Holiday January 19 1.5 January 21 1.6 January 24 1.7 and 1.8 January 26 1.9 ans 1.10 January 28 REVIEW January 31 TEST I February 2 2.1 and 2.2 February 4 2.3 February 7 2.4 February 9 2.5 February 11 2.6 February 14 2.7 February 16 2.8 February 18 2.9 February 21 REVIEW February 23 TEST II February 25 3.1 February 28 3.2 March 2 3.3 March 4 4.1 and 4.2 General Vector spaces March 7 4.3 General Bases and Dimension March 9 4.4 Coordinate Systems March 11 4.5 Dimension March 14 Vacation March 16 Vacation March 18 Vacation March 21 4.6 Rank March 23 4.7 Change of Basis March 25 4.8 and 4.9 Differential Equations and Markov Chains March 28 REVIEW March 30 TEST III April 1 5.1 and 5.2 April 4 5.3 and 5.4 April 6 5.5 April 8 5.7 (omit 5.6) April 11 6.1 and 6.2 Inner Products, Length and Orthogonality April 13 6.3 Orthogonal Projections April 15 6.4 Gram-Schmidt April 18 REVIEW April 20 TEST IV April 22 6.5 Least Squares April 25 6.6 Linear Least Squares April 27 6.7 Inner Product Spaces April 29 7.1 and 7.2 Symmetric Matrices and Quadratic Forms May 2 Final Week No class May 4 Final Week No class May 6 Final Week No class Sample Syllabus Statements 1. "If you have a documented disability and anticipate needing accommodations in this course, please make arrangements to meet with me soon. Please request that a Disability Resources staff send a Student Academic Accommodation Request (SAAR) form verifying your disability and specifying the accommodation you will need." 2. "If you have a disability and require accommodations, please contact the instructor early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the Disability Resources (DR) office, located on the main floor of the Student Services Building, Room 1076, 515-294-6624." 3. "Iowa State University complies with the American with Disabilities Act and Section 504 of the Rehabilitation Act. Any student who may require an accommodation under such provisions should contact me as soon as possible and no later than the end of the first week of class or as soon as you become aware. No retroactive accommodations will be provided in this class." 4. "If a student has a disability that qualifies under the Americans with Disabilities Act and Section 504 of the Rehabilitation Act and requires accommodations, he/she should contact the Disability Resources (DR) office for information on appropriate policies and procedures. DR is located on the main floor of the Student Services Building, Room 1076; their phone is 515-294-6624." 5. "Any student who feels s/he may need an accommodation based on the impact of a disability should contact me privately to discuss your specific needs. Please contact the Disability Resources Office at 515-294-6624 in room 1076, Student Services Building to coordinate reasonable accommodations for students with documented disabilities." 6. "If you have a documented disability that requires assistance, you will need to go to the Disability Resource (DR) Office for= coordination of your academic accommodations. The DR is located in the Student Services Building, Room 1076. Their phone number is 515-294-6624, TDD 515-294-6335 or email Bea at Awoniyib@iastate.edu." 7. "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."