MATH 0280 Introduction to Matrices and Linear Algebra -Syllabus (Fall 2008)Text: Linear Algebra, A Modern Introduction, Second Edition, by David Poole;Course Objectives: Students who complete Math 0280 are expected to have masteredthe fundamental ideas of linear algebra and to be able to apply these ideas to a variety ofpractical problems. More specifically, in Math 0280 you will be expected to:- explore and learn the core concepts associated with systems of linear equations, manipu-lation of matrices, linear transformations, orthogonality, and eigenvalues/eigenvectors;- begin to think abstractly about certain of these topics;- understand how these ideas can be used to solve problems and compute things.Assessment: homework to total 150 pts. ⇒ 150 pts.exploration assignments to total 150 pts. ⇒ 150 pts.2 midterm exam @ 100 pts. each ⇒ 200 pts.1 final exam @ 200 pts. ⇒ 200 pts.700 pts.A/A±: 90-100%, B/B±: 80-89%, C/C±: 70-79%, D/D+: 60-69%, E: < 60%The grading system above is approximate. Your instructor has the final word on the gradingsystem used in your particular section.Software tools: You should be aware that there are software tools out there, such asMATLAB, that are quite handy for practical linear algebra. In fact, the student edition ofMATLAB is powerful and is quite reasonably priced, and there may be shareware approx-imations of MATLAB (e.g. Octave) that are free alternatives. However, the default modein this course will be to do everything, except for exploration assignments, without software,in some cases to force you to learn concepts and in others because we will be dealing withabstractions. I repeat: MATLAB or other software may NOT be used on regular homeworkunless permission is given on the assignment sheet. In such a case, be sure to indicate whereMATLAB was used to generate a result. On the other hand, it would be to your long-termbenefit at least to familiarize yourself with MATLAB or some other software for linear al-gebra. To this end, significant parts of the exploration assignments will require you to usesome form of computer system, and guidance will be provided in how to use MATLAB forthese.Disability Concerns: If you have a disability for which you are or may be requesting ac-commodation, you are encouraged to contact both your instructor and Disability Resourcesand Services, 216 William Pitt Union, (412) 648-7890/(412) 383-7355 (TTY), as early as pos-sible in the term. DRS will verify your disability and determine reasonable accommodationsfor this course.1Academic Integrity - The University of Pittsburgh Academic Integrity Code states that“A student has an obligation to exhibit honesty and to respect the ethical standards of theacademy in carrying out his or her academic assignments.” Students are expected to adhereto the Academic Integrity Code, and violations of the code will be dealt with seriously.Schedule - the notation Sa.b refers to Chapter a, Section b of the Poole textPlease note that the schedule is approximate and your instructor may choose to alter thepace and/or the order of the topics.Classes Topic Homework1 Introduction, S1.0-1.2 pg. 26-7, # 35, 37, 43, 442-3 S1.3 pg. 41-4, # 2,3,7,10,12, 13, 19, 293-4 S2.0-2.1, pg. 66-7 pg. 64-5, # 15, 17, 18, 22, 23, 27, 315-6 S2.2 pg. 83-5, # 13, 19, 25, 27, 36, 41, 42, 45, 497-8 S2.4; handout on applications pg. 113, #3,Exploration Assignment (EA) 19-10 S2.3, S3.0 pg. 99-101, # 4, 12, 15, 24, 26, 28;pg. 135-6, # 1-6 using F, G from (d) on pg. 13611 S3.1 pg. 150, # 1, 6, 13, 15, 1912 S3.2 pg. 159-60, # 4, 6, 7, 23, 3613 S3.3 pg. 176-8, # 11, 13, 21, 22, 52, 5314 review15 MIDTERM I16-19 S3.5 pg. 207-9, # 6, 7, 10, 15, 18, 22, 28, 36, 40, 42,46, 49, 5020-22 S3.6, robotics (pg. 224-7) pg. 222-3, # 4, 10, 12, 19, 36, 38, 39,question on homogeneous coordinates23-24 S3.7 pg. 247, # 51, EA2 (matrix operations)25-26 S4.1 pg. 259-61, # 3, 13, 17, 23, 2426-27 S4.2 pg. 280-2, # 9, 14, 17, 19, 23, 26, 27, 28, 31, 33, 35,38, 4528-29 S4.3 pg. 295-8, # 1, 3, 7, 22, 23,EA3 (geometry of determinants and e’values)30 review31 MIDTERM II32-33 S4.4 pg. 306-8, # 1, 11, 12, 16, 36, 4033-35 S4.6 pg. 356-61, # 8, 31, 44, 45, 47, 54,EA 4 (applications of eigenvalues)36-37 S5.0, S7.3 pg. 595-8, # 1, 7, 12, 15, 19, 31, 34,EA 5 (least squares)38-39 S5.2 pg. 384-5, # 4,7,9,13,16,2240-41 S5.3 (and back to S7.3) pg. 391-2, # 3,5,7,9,15,18; pg. 596-7, # 2742-43 catch-up and final