Section Instructor Room 1 Thunder DU 318 2 Blau DU 428

**LINEAR ALGEBRA AND APPLICATIONS (4)**
Matrix algebra and solutions of systems of linear equations,
matrix inversion, determinants.
Vector spaces, linear dependence, basis and dimension, subspaces.
Inner products, Gram-Schmidt process.
Linear transformations, matrices of a linear transformation.
Eigenvalues and eigenvectors. Applications.
Constructing and writing mathematical proofs.
A transition between beginning calculus courses
and upper-level mathematics courses.

**PRQ:** MATH 232, Calculus III

**TEXT:**
Bernard Kolman and David R.Hill,
**Elementary Linear Algebra**, *9th Edition,*
Prentice Hall, Upper Saddle River, New Jersey, 2008.

**SYLLABUS:**
The course will cover most of Chapters 1-7 of the text.

**COURSE OBJECTIVES:**
Students will develop computational skills
in working with linear transformations
and the matrices used to represent them.
However, more of the course will focus on non-computational issues
such as reasoning and constructing proofs.
This course is intended as a transition
between the beginning calculus courses
and upper level courses in mathematics.

**CALCULATORS:**
This course is not focused on numerical computation.
Students may wish to use calculators or computers as a study aid,
but no electronic devices of any kind will be allowed on exams.
See
this
page for some examples that illustrate the difficulties
in doing numerical calculations.
*A calculator can give you a completely wrong answer.*
Techniques from numerical linear algebra
are covered in a subsequent course, MATH 434.

**FINAL EXAM:**
The final exam will be a comprehensive, departmental examination.
It is scheduled as a mass exam, on
**Wednesday, December 10, 6-7:50PM.**
All sections of this course will take the same final exam at the same time.

**LECTURES AND EXAMS:**
This is the tentative schedule for lectures and exams.

Week of Sections 8/25 1.1, 1.2, 1.3 9/1 Labor Day, 1.4, 1.5 9/8 2.1, 2.2, 2.3 9/15 3.1, 3.2, 3.3, Exam 1 9/22 4.2, 4.3 9/29 4.4, 4.5 10/6 4.6, 4.7 10/13 4.8, 4.9, Exam 2 10/20 5.1, 5.3, 5.4 10/27 5.4, 5.5 11/3 6.1, 6.2 11/10 6.3, 6.5 11/17 Exam 3, 7.1 11/24 7.2, Thanksgiving Break 12/1 7.2, 7.3, Review FINAL EXAM: Wednesday, Dec. 10, 6-7:50 PM

**HOMEWORK PROBLEMS:**
These are the suggested homework problems.
Your instructor will tell you which ones are to be handed in for grading.

|Section|Page|Problems 1.1 8 2 3 5 10 11 14 15 19 22 23 34 1.2 19 5 7 8 9 11 12 13 15 17 19 1.3 30 5 7 11 14 20 23 24 27 28 29 31 33 36 43 44 45 46 1.4 40 3 5 8 9 10 11 12 22 23 25 32 34 36 1.5 52 3 5 9 11 15 16 17 19 20 21 22 23 24 26 27 31 32 33 35 36 40 51 52 54 2.1 94 1 3 5 7 11 13 2.2 113 1 5 7 9 11 13 14 15 17 18 21 23 27 29 30 31 2.3 124 2 3 5 7 8 9 11 13 15 2.3 124 17 19 21 24 25 29 3.1 145 2 3 5 8 9 12 13 3.2 154 1 3 4 5 6 7 9 10 11 13 14 15 17 19 22 23 24 30 31 32 34 3.3 164 1 5 10 11 12 17 19 3.4 169 1 2 3 4 7 9 14 3.5 172 1 3 5 7 4.1 187 5 7 11 15 17 19 4.2 196 1 2 3 4 6 8 9 11 4.2 196 13 15 17 19 20 23 25 4.3 205 1 2 3 4 5 7 9 11 13 15 17 19 4.3 205 19 23 24 29 30 33 34 4.4 215 1 3 4 5 7 8 9 11 12 13 4.5 226 1 2 3 4 9 10 11 13 16 18 20 23 24 27 28 4.6 242 2 4 7 8 9 10 11 13 15 16 17 18 19 21 23 24 26 28 29 31 32 35 41 42 44 47 4.7 251 1 4 6 9 13 16 17 20 4.8 267 1 2 6 7 9 10 12 15 16 17 23 24 26 29 35 37 38 4.9 282 1 2 5 7 9 13 18 28 31 32 34 35 41 45 5.1 297 3 5 7 12 16 17 18 22 27 34 5.3 317 6 7 10 11 15 16 17 19 20 21 23 30 31 34 35 40 41 43 5.4 329 1 2 5 8 10 11 15 20 21 23 24 28 31 32 33 5.5 348 1 2 4 5 7 8 9 11 15 18 19 25 26 28 29 6.1 372 2 3 4 5 6 8 9 11 12 13 14 16 17 20 24 25 26 31 32 34 6.2 387 1 3 6 7 8 10 12 13 15 16 18 20 21 25 26 28 6.3 397 1 3 4 5 7 8 9 10 13 19 20 21 6.5 413 1 3 4 5 6 7 8 11 13 14 15 17 7.1 450 1 2 4 7 9 11 12 15 17 21 22 23 24 25 32 7.2 461 1 2 4 7 9 11 12 15 17 18 19 22 25 26 28 7.3 475 1 2 3 4 8 9 10 11 14 15 16 19 20 21 27

**Review:**
Chapter Summaries
from the textbook by Kolman.

Previous final exams:
Fall 2002,
Fall 2004,
Fall 2008,
Spring 2011,
Fall 2009
with
solutions.

**DRC STATEMENT:**
If you have specific physical, psychiatric, or learning disabilities and
require accomodations, please let your instructor know early in the
semester so that your learning needs may be appropriately met. You will
need to provide documentation of your disability to the DRC (Disability
Resource Center) Office located in the Health Services Building, 4th
floor.