MA 242 A1 Linear Algebra

A1 Meets MWF 9am - 10am at PSY B39,

Discussion A2 W 11am-12am at SOC B57

Instructor: Alexander Levichev, PSY 233, 64 Cummington st, tel.3-1483 (e-mail is more reliable), office hrs Mon 8am-8.50am, R 8.30am - 9.20am, 11am-11.30am or by appointment

E-mail: levit@math.bu.edu

get to http://math.bu.edu/people/levit for an info about the Instructor as well as for the course updates

Test 1 scores are on the Courseinfo site. It covered 2.1,2.2,2.3,2.7,4.1-4.5.

Test 2 on Wed, 4/18, covers 4.6, 4.7, 5.1 - 5.4, 6.1 - 6.4

Test 2 access is on Wed, 4/25 at 11am. Ave was 25.6 in the 8 through 37 range.

The following sections can be tested on the final: 1.1-1.5,1.7-1.9, 2.1-2.3,4.1-4.7,5.1-5.4,6.1-6.4,6.7,6.8,7.1,7.2 (Section 2.7 won't be tested)

L-36 7.2 finished

L-35 7.1 (the last subsection won't be tested), 7.2 - not finished (the last subsection won't be tested). HW 7.1: 1-19,23-29; 7.2: 1-13,23.

L-34 6.8 (the last subsection, only). HW 6.8: 5,7,9,11

L-33 6.7 finished. HW 6.7: 17,21,23,25

L-32 6.7 (not finished), test 2 solutions presented. HW 6.7: 1-9,13,15

L-31 Review. It is OK to come to the B1 class on Tue (4/17, 9.30am - 10.50am at CAS 228) with test 2 - related questions.

L-30 6.4 (the last subsection won't be tested) HW 6.4: 1-9

L-29 6.3 HW 6.3: 1-15, 19

L-28 6.2 HW 6.2: 1-23,27,29

L-27 6.1, 6.2 (not finished). HW 6.1: 1-19, 25,27,29; 6.2: 1-9

L-26 5.4 finished, 6.1 started. HW 5.4: 1-25,29; 6.1: 1-11

L-25 Examples 1, 2 from 5.3; 5.4 (started). HW 5.4: 1-11

L-24 5.3 (not finished). HW 5.3; 1,5-25

L-23 5.2 (a subsection on pp.315, 316 won't be tested) HW 5.2: 1-15, 19.

L-22 5.1 (a subsection on p.307 won't be tested) HW 5.1: 1-17,21,25,31,32.

L-21 4.7 HW 4.7: 1b,5b,13, and on a handout.

L-20 4.6 HW 4.6 1-13, 17,19

L-19 review presented, questions taken. No new HW.

L-18 4.5 HW 4.5: 1-27

L-17 4.4 HW 4.4: 1-13,27,29.

L-16 4.3 (not quite finished) HW 4.3: 1-9,13,19,21.

L-15 4.2 HW 4.1: 19, 4.2: 1,3,7-25,31,33,35

L-14 4.1 HW 4.1: 1-19,21,23a-d,31,32.

L-13 2.7. HW 2.7: 1-7,11-19.

L-10 pp.109, 110. Questions taken. The quiz on Mon, 2/12, PSY B39 at 9am covers 1.1 -1.5, 1.7 - 1.9. It is open book, you can use your notes (values of sin x, cosx for important angles x is recommended to make part of your notes), and a calculator (however, I do not assume that you have a calculator, it is testing of your analytical skills).

L-12 2.2, 2.3 HW 2.2: 1,3,5,9,13-21odd,29,31,33; 2.3: 1,3,5,11,13,15,33,37.

L-11 2.1 finished. HW 2.1: 1,3,5,11,15,27,31.

L-10 Questions taken. No new HW.

L-9 1.9 finished. 1-27 is the 1.9 HW.

L-8 1.8 finished, 1.9 (not finished). The 1.9 HW will be: 1-27.

L-7 1.8 (to be finished on Fri). HW (to be done after the Fri lecture): 1-33

L-6 1.7 HW: 1-9,19,21,33,35,37.

L-5 1.5 HW: 1-17,21,25,27,29,31.

L-4 1.4 HW: 1-15,21,25,27,31.

L-3 1.3 (not finished). 1.3 HW: 1-15,23,25.

L - 2 1.2 (most part of). 1.1 HW: 1-19,29,31; 1.2 HW: 1-15,23.

L - 1 1.1

To read and to understand the content of respective sections is part of each and every HW assignment

Homework is assigned on a regular basis. It is not collected but you are welcome to turn (part of) it (you'll get it back with my comments which might be helpful as part of your tests' preparation).

There is a quiz, two in-class tests, and a Final.

Grading policy: attendance=1 unit; quiz (Mon, Feb 12) = 1, two tests (Wed, 3/7 and Wed, 4/18; two units each); Final (Mon, 5/7, 9am-11am) = 4 units. The lowest from these 10 grades will be dropped. The average of the remaining nine units will determine the grade for the class.

The students have the responsibility to know the provisions of the CAS Academic Conduct Code, copies of which are available in CAS 105. Cases of suspected academic misconduct will be referred to the Dean's Office. Only documented reasons for a missed quiz, test, or lecture might be taken into consideration.

View your GRADES on-line. From within the CourseInfo site, students should select Student Tools>Check Your Grade

The course covers chapters 1 through 7 (most parts of) from "Linear Algebra and Its Applications" by D. Lay, 3d edition, ISBN 0-321-28713-4. This includes

Chapter 1(Linear Equations): systems of linear equations, row reduction and echelon forms, solution sets, linear independence, introduction to linear transformations.

Chapter 2(Matrix Algebra): matrix operations, finding an inverse, partitioned matrices.

Chapter 3(Determinants): determinants and their properties, cofactor expansion, more on linear transformations, applications.

Chapter 4 (Vector Spaces): subspaces, null spaces, column spaces, linear transformations, linear independence, coordinate systems, basis and dimension, rank of a matrix, change of basis.

Chapter 5 (Eigenvalues and Eigenvectors): eigenvalues and eigenvectors, diagonalization, more on linear transformations, complex eigenvalues.

Chapter 6 (Orthogonality and Least-Squares): inner product, length, and orthogonality, orthogonal projections, the Gram-Schmidt process, inner product spaces.

Chapter 7 (Symmetric Matrices and Quadratic Forms): diagonalization of symmetric matrices, quadratic forms.