Section Instructor Room 1 Geline DU 310 2 Krislock DU 428 3 None

**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
**Thursday, May 8, 8-9:50AM.**
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 1/13 1.1,1.2,1.3,1.4 1/20 MLK Day, 1.5,2.1, 2.2 1/27 2.3,2.4,3.1 2/3 3.2,3.3,3.4, Exam 1 2/10 4.2,4.3, 4.4 2/17 4.5, 4.6, 4.7, 4.8 2/24 4.9, 6.1, 6.2 3/3 6.3, 6.5, Exam 2 3/10 Spring Break 3/17 7.1, 7.2 3/24 5.1, 5.3 3/31 5.4, 5.5 4/7 7.3, Exam 3 4/14 Optional Sections 4/21 Review 4/28 Final Exam: Thursday, May 8, 8-9:50AM FINAL EXAM: Thursday, May 8, 8-9:50 AM

**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 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 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 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.

**CAAR STATEMENT:**
Students who request accommodation due to a physical or learning disability
must contact their instructor at the beginning of the semester.
The instructor has the right to see documentation
of the student's condition from the CAAR office.