Math 45 --- Linear Algebra
Instructor: David Arnold
What Is Linear Algebra?
The Math 45 course at College of the Redwoods is an intoductory course
in linear algebra. Its primary emphasis is developing matrix techniques
for solving systems of linear equations. Along the way students will study
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Matrices and operations with matrices
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Determinants
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Vector spaces
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Independent and dependent sets of vectors
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Bases for vector spaces
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Linear transformations
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Eigenvalues and eigenvectors
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Orthogonal sets and least squares approximation
What Are The Prerequisites?
If you have completed courses in college algebra and trigonometry, then
you are eligible to enroll in CR's introductory linear algebra course.
The majority of students in the class will have completed at least one
semester of calculus.
Who Takes Linear Algebra?
Students in mathematics, science, and engineering (MSE) usually complete the following core courses in their freshman and sophomore years.
|
First Semester |
Second Semester |
| Freshman Year |
Calculus I |
Calculus II |
| Sophomore Year |
Calculus III |
Differential Equations |
MSE students are expected to fit an introductory linear
algebra course in during one of these first four semesters. At some schools
you are required to complete an introductory course in linear algebra before
taking the third course in calculus or differential equations.
However, you don't have to be a mathematician, scientist, or engineer to find linear algebra useful. If you are interested in modeling an owl population or
devising a a harvesting plan for a renewable resource, then linear algebra
is the tool that you will need.
Syllabus
Office hours, class management, materials needed, homework and test policies,
grading, etc. All of these are available in the Syllabus.
Homework
Activities and assignments for the semester will be accumulated on the
Homework
Page. This page will be under construction throughout the semester
as new activities and assignments are added.
Sample Examinations
The examinations administered during past semesters can be found on the
Examination
Page. Although examinations this semester will not be identical to
those found on the Examination Page, you can still find questions typical
of those that you will encounter on upcoming quizzes and examinations.
Sample Solutions
You can find partial solutions and hints to the exercises in Strang at: http://scinux.redwoods.edu/strangproblems/strangproblems.cgi. Caution: Most of these problems are keyed to the second edition of the text, but the list will grow as we add solutions and hints from the third edition.
Sample Activities
You can find a list of the Matlab activities that will be used in this
class on the
Activities Page.
Student Projects
You can find student projects in past linear algebra classes at
Student Projects in Linear Algebra.