Math 294 Home Page

Engineering Mathematics - Fall 2000

Lecturers:

Lecture 1 (Connelly) is in Upson B17 from 10:10 to 11:00 on Monday, Wednesday, Friday.

Lecture 2 (Phoenix) is in Kimball B11 from 12:20 to 1:10 on Monday, Wednesday, Friday.

The course has been changed somewhat from what it has been in the past. It is now almost exclusively linear algebra and Math 293 is not a prerequisite.

Text: Linear Algebra and its applications (Second Edition) by David C. Lay

Grading: The three prelims will count 100 points each; the final will count 200 points; and homework will count 100 points. This is a total of 600 points for the course. The grades will be determined by the performance that we feel is appropriate to the material. There will be no set quotas or curve for the number of people who are to get any given grade.

Here is an abreviated practice prelim for Prelim III. Page 1, Page 2. Sorry there are not more questions, but this was what was used last Spring in 294, and we are not at the same point as they were. This represents the intersection of what was covered on that Prelim and what is covered on our Prelim.

Last minute special: Extra homework practice problems specially designed to improve performance on the Final exam.

The Practice Final is now available here (page 1, page 2, page 3, page 4). This is the final from the Spring this year, and the course covered somewhat different material. So some questions that we did not cover this semester are not included here.

The median score for Prelim III was 74, for Prelim II it was 77, and for Prelim I it was 82.

Here is a very rough estimate of the grade range for the Prelims in the course.

Letter grade

A

B

C

D

F
Prelim III 85-100 70-84 52-69 40-51 0-39
Prelim II 87-100 72-86 61-71 50-60 0-49
Prelim I 90-100 80-89 65-79 50-64 0-49

Teaching Assistants: The following are the TAs for the course this semester, and their office hours. All these office hours (except for the case *) are held in 102 Thurston Hall, the Don Conway Room.

TA

Sections

Taught

Time of Office Hours

e-mail address

Rooms for the

Final Exam

Li Wang*

13

Sunday, 7PM-9PM

lw67@cornell.edu

Malott 251

Jean Cortissoz

07, 12, 17

Monday, 4PM-6PM

jean@math.cornell.edu

Kennedy Auditorium

Aditya Bhandari

05, 11, 14

Monday, 3PM-5PM

ab243@cornell.edu

Kennedy Auditorium

Wayne Lee

16

Monday, 7PM-9PM

wwl4@cornell.edu

Malott 251

Varis Carey

01, 02, 04

Sunday, 7PM-9PM

vc31@cornell.edu

Kennedy Auditorium

Yan Zeng

15

Tuesday, 5PM-7PM

yanzeng@math.cornell.edu

Malott 251

Cyril Youinou

06, 08, 09

Tuesday, 7PM-9PM

cy46@cornell.edu

Kennedy Auditorium

* Li Wang's office hours will be in 218 Malott Hall, not 102 Thurston Hall.

Extra Help: There are at least two resources that you can use for tutoring or extra help or just to use the language.

Homework: The following are the reading and homework assignments. The date below is when the section is covered in lecture. Homework assignments for a given week are due the following Tuesday at 10 PM (except during Fall Break as indicated below) in your TA's mailbox in the Don Conway room 102 Thurston Hall. It will be returned to you in your section on Thursday or Friday.

Note that the last homework for the last week of classes will be due on Tuesday, December 5. We will try to have solutions up by Wednesday, December 6.

Date

Sections covered

Homework Assignments
8/25 1.1 Introduction, linear systems 1.1: 6,11,15,23,31
8/28 1.2 Row reduction 1.2: 3,5,8,15,21,26
8/30 1.3, 1.4 Vectors, linear combinations and matrix equations 1.3: 4,7,10,21,28,30

1.4: 10,20,24,29,36

9/1 1.5 Solution sets of Ax=b. 1.5: 3,6,13,19,22,30
9/4 1.6 Linear independence 1.6: 5,11,14,21,29,35
9/6 1.7, 1.8 Linear transformations,

matrix of linear transformations

 1.7: 2,5,10,13,20,33,[35]

1.8: 6,8,14,18,22,33,[37]

9/8 1.9 Applications 1.9: 2,[7],10,[12]
9/11 2.1, 2.2 Matrix operations, Inverse of a matrix 2.1: 3,10,14,22,25

2.2: 3,6,12,23,27

9/13 2.3 Invertible matrices 2.3: 3,9,24,28,34
9/15 2.4 Partitioned matrices 2.4: 5, 10, 15, 16, 22
9/18 2.6 Iterative solutions of linear systems 2.6: 1, 9, 15
9/20 Review - Catch up
9/21

PRELIM I

 Covers up to and including

Section 2.3 Invertible matrices
9/22 2.8 Computer graphics 2.8: 2, 7, 11, 14, 17
9/25 3.1, 3.2 Determinants 3.1: 9, 15, 28, 30, 43[M]

3.2: 5, 20, 21, 34, 42
9/27 3.3 Cramer's rule 3.3: 7, 18, 19, 29, 30, 31
9/29 4.1 Vector spaces 4.1: 2, 4, 7, 8, 15, 21
10/2 4.2 Null and column spaces 4.2: 1, 4, 7, 10, 27, 34
10/4 4.3 Linear independence 4.3: 1, 2, 13, 21, 26, 31
10/6 4.4 Coordinate systems 4.4: 3, 5, 17, 25, 35

FALL BREAK

Homework due Wednesday 10/11 at 10 PM (instead of Tuesday).
10/11 4.5 Dimension 4.5: 2, 11, 14, 20, 21
10/13 4.6 Rank 4.6: 2, 6, 11, 18, 21, 28
10/16 4.7 Change of basis 4.7: 3, 7, 14, 18
10/18 4.9 Applications (Markov chains). 4.9: 1, 7, 9, [15], 19
10/20 5.1, 5.2 Eigenvectors 5.1: 2,5,7,14,21,26

5.2: 7,13,16,21,27
10/23 5.3, 7.1 Diagonalization 5.3: 4,6,13,19,23

7.1: 11,19,30,[37]
10/25 Review
10/26

PRELIM II

 Covers up to and including

Section 4.9 Applications
10/27 5.4 Linear transformations 5.4: 2,3,6,10,11,23
10/30 Appendix B, Complex numbers A postscript copy of the homework

is available here. You can also get

copies in other forms at the homework

link later in the week.
11/1 5.5 Complex eigenvalues 5.5: 3,11,15,21,25
11/3 5.6 Discrete dynamical systems 5.6: 1,2,5,6,7,12
11/6 5.7 Applications to diff. eqns, mixing probs 5.7: 2,5,7,12,13,[15]
11/8 5.7 More on DE's (Handouts) Special Homework (pdf format)
11/10 5.8 Iterative estimates for eigenvalues 5.8: 1, 7, 11, 14, 21
11/13 6.1 Inner products 6.1: 1, 9, 14, 19, 28, 31
11/15 Review
11/16

PRELIM III

 Covers up to and including

Sectiion 5.7 More on DE's
11/17 6.2 Orthogonal sets 6.2: 1, 8, 15, 29
11/20 6.3 Orthogonal projection 6.3: 1, 6, 7, 15, 22
11/22 6.4 Gram-Schmidt 6.4: 3, 11, 18

THANKSGIVING
11/27 6.5, 6.6 Least squares problems 6.5: 1, 6, 10, 19

6.6: 1, 10, 11
11/29 6.7 Inner product spaces 6.7: 3, 10, 19
12/1 Review
12/7

FINAL EXAMINATION 9:00-11:30 AM (See the room assignments above.)

 Covers the whole course, with some

emphasis on Sections on 5.8 to 6.7

Graded homework solutions and practice prelims here. Click on the link to Course Documents (log in as guest, and use guest as the password).

Last updated: Decembe 4, 2000.