Martin Flashman's CoursesMath 241 Introduction to Linear Algebra Fall, '01 MWF 12:00- 12:50 FH 177 Final Examination Self- Schedule... Click Here!

Last updated: 08/16/2001

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 Read Section Date Due Do Problems (*= interesting but optional) 1.1 (2 by 2) 8-29 1,3,4,7 1.2  (matrices-  unique sol'ns) (i) 8-31 (ii) 9-5 (i) 1,2,5,7,8 (ii)10, 13 1.3 (Gauss-Jordan) Read for 9-5 (i) 9-7 (ii) 9-7 (i) 1,3,5 (ii) 7, 10, 12, 13, 15 a 1.4 (Applications) 9-10 1-5, 7, 8, 16, 17 2.1 (Matrix Arithmetic) 9-12 1,2 9-14 3-5, *7, 9, 13, 14, 15,19 2.2 (Properties) 9-17 1,2,5,7,18,21,23 9-19 20,27,28,30,31,*33,35 2.3 ( Symmetric Matrices) (i)9-21 (ii)9-24 (i)1-3,6-12,15 (ii) 21,23,27,28(a-c), *30 2.4 (Matrix Inverses) 9-17 read 9-19 (i) 9-21 (ii) 9-24 (iii) (i)1,3,4,5,10 (ii) 11-16,20-22,24 (iii) 29,31 2.5 (Input-Output) 9-28 1-3 2.6 (Stochastic Models) 9-26 1,4,5,7,11,12,13 3.1 Determinants 9-28 (i) (i) 1,2,12,14 10-1(ii) (ii) 6,10,11,17 10-3(iii) (iii) 8, 18, 19 3.2 10-1 (i) 10-3 (ii) 10-5 (iii) (i) 3,5,8 (ii) 2, 4, 14 (iii)12, 15,17,19 3.3 10-1(i) 10-3(ii) (i)1-3 (ii)5,12 3.4 10-5 3,4,6a,10(a,c),15-17,20,21 4.1 10-8 1-3,5,9,11,15,16 4.2 10-8 READ only 10-10 (i) 10-15(ii) (i)1-3,5,7,16 (ii)9,11, 12 4.3 10-10(i) 10-15(ii) (i)2,4(a,b),6(a-c), 8(a-c) (ii)16, 17,20,21 4.4 10-17 4,6 -10 4.5 10-19 1.3.5 10-22 6-8, 21 10-24 13,15,16,17,20 4.6 10-24 Read- 1,2(a,c,e),4,6(a,b), 7(a,b) 10-26 8-10 4.7 10/31 1-5,13,20 11/2 11,21-23,25,27,*28,*30,31(a,b) 6.1 10/31 Read pp284-286 11/2 2,5,6,8-10 11/5 15-17 11/7 19,20 7.1 11/7 6-11 11/9 19-22,24,25 7.2 11/12 8,9,11,13,15 11/30 (For discussion in class) 1,4,18-20,26,27(a,b),28,29,30 12/3 5,8,10,12-14,33,34,39 12/7 Read p337-339 12/14 22 7.3 11/12 1(a,c,e,g),2(a,b,e) 11/28 4,5(a-c),6,11,13, 16,18,21-23,25 5.1 11/30 READ!!!! 12/5 3,5,10,11,16A,*21,25,*30, *22,*32 12/7 26,28,35 5.2 12/5 1,3 12/7 4,5,12,23 12/10 7, 9,17 12/14 26,28,*23 6.2 12/7 Read 12/10 8( a,b), 9, 10, 13 8.1 12/14 1,2,13 8.2 12/14 1,2,4
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 Monday Wednesday Friday Week 1 8/27 Introduction and Motivation Solving 2 by 2  systems. 8/29 Continuation: Introduction to matrices. 8/31 Being Systematic. Week 2 9/3 Labor Day No Classs 9/5 Gauss-Jordan Method using row operations 9/7 A discussion of proofs. Application to polynomial curve fitting Week 3 9/10 Begin Vector-Matrix Arithmetic. 9/12 Inner product. 9/14 Properties of Matrix algebra. Matrix Inverse. Week 4 9/17 More on Matrix Inverse. 9/19 Symmetric Matrices, Transpose,Trace Breath 9/21 Applications Week 5 9/24.Stochastic Matrices. 9/26 Breath Begin Determinants 9-28 More on calculating determinants.  Expansion by Minors Week 6 10/1 Permutations and determinants, more properties of determinants, 10/3 Determinants, Products and Inverses 10/5  Vectors Week 7 10/8 Subspaces, Linear combinations 10/10 Spanning and Linear dependence.Breath 10/12 Exam I covers material [8/27,10/5] Week 8 10/15 Linear Independence 10/17 Basis 10/19 Dimension Week 9 10/22 More on dimension. Rank of a matrix. 10/24 Rank. 10/26 Finish Rank Week 10 10/29 Eigenvalue/vector of a matrix Begin Abstract Vector Spaces and Linear Transformations: Motivation. 10/31 More Abstract Vector Spaces Examples. Subspaces/ Span/Lin. Indep./BASES 11/2 MORE.. breath. Week 11 11/ 5 More VS examples. Start Linear Transformations. 11/7 More Linear transformations: T+aU, TU 11/9 Geometry of LT's; matrices and LT's Begin Kernel and range Week 12 11/12 Rank and Nullity. 11/14 1:1 and the Nullspace 11/16Exam II BREAK 11/19 No class No class No Class Week 13 11/26 More on 1:1 and inverse functions 11/28 Begin Geometry and Lin. Operators 11/30 More Geometry and Transformations Week 14 12/3 Inner products and more on transformations 12/5 Orthogonal Transformations - distance and Isometries 12/7 Orthonormal bases Week 15 12/10 finish Orthonormal bases, 12/12 Orthogonal transformations, General inner product spaces. Diagonalizable Matrices/transformations. Applications of  diagonalization. Breath & Review for Final
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Fall, 2001                                  COURSE INFORMATION  (Revised 12-14)        M.FLASHMAN
MATH 241                                             MWF12:00-12:50    GIST Hall 177
OFFICE: Library 48                                                                                     PHONE:826-4950
Hours (Tent.):  MWF 9:30-10:30  AND BY APPOINTMENT or chance!

E-Mail: flashman@axe.humboldt.edu         WWW: http://www.humboldt.edu/~mef2/
***Prerequisite:MATH 205 or 210 (Allowed for Concurrent enrollment) (Permission given for three completed semesters or 4 quarters of Calculus)

• TEXT Linear algebra with applications, 3rd Edition by Gareth Williams.
• Catalog Description: Linear systems, matrices, determinants, linear independence, bases, eigenvalues, and eigenvectors.
• SCOPE: The course covers an introduction to the core concepts of linear algebra and some applications to both mathematical and non-mathematical problems. Key connections are made between systems of linear equations, matrices, vectors, and transformations while developing some related fundamental theory and algorithms. The text chapters that will be covered include Chapters 1 to 7.
• TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be several reality check quizzes, two midterm exams and a comprehensive final examination.
• Homework assignments are made regularly. They should be done neatly and  passed in on the due date. Homework is graded Acceptable/Unacceptable with problems to be  redone. Redone work should be returned for grading promptly.
• Exams will be announced at least one week in advance.
• THE FINAL EXAMINATION WILL BE SELF SCHEDULED.
• The final exam will be comprehensive, covering the entire semester.
• MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES! It is the student's responsibility to request a makeup promptly.
• *** DAILY ATTENDANCE SHOULD BE A HABIT! ***
• GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from tests and various  assignments. The final examination will be be worth either 200 or 300 points determined by the following rule:

• The final grade will use the score that maximizes the average for the term based on all possible points .
 Reality Quizzes 150 points 2 Midterm Examinations 200 points Homework 0 points Final Examination 200 or 300 points Total 550 or 650 points
• The total points available for the semester is 550 or 650. Notice that only 400 or 500 of these points are from examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.

• MORE THAN 2 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.
** See the course schedule for the dates related to the following:
• No drops will be allowed without "serious and compelling reasons" and a fee.
• Students wishing to be graded with either CR or NC should make this request to the Adm & Rec office in writing or by using the web registration procedures.
• Technology: The computer or a graphing calculator can be used for many problems. We will use MATRIX.  Matrix by John Kennedy is designed particularly to help learn many linear algebra applications using matrices on any PC. MATRIX can be obtained from me or downloaded from the Math Archives. Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.

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• Graphing Calculators: Graphing calculators are welcome and highly recommended. We may use the HP48G for some in-class work though most graphing calculators will be able to do much of this work. HP48G's may be available for students to borrow for the term through me by arrangement with the Math department. Supplementary materials will be distributed if needed. If you would like to purchase one or have one already, let me know. I will try to help you with your own technology during office hours or by appointment (not in class).