COURSE INFORMATION FOR MATH 330
LINEAR ALGEBRA
Instructor Professor Jennifer Johnson-Leung
303 Brink Hall
jenfns@uidaho.edu
Class Times
MWF 12:30-1:20, TLC 122
Office Hours
Tentative: Monday 3:30-5, Friday 12:30-1:20 and by appointment
Text Lay Linear Algebra and its Applications Sixth Edition with
MyMathLab - Pearson

Course Description
Linear algebra is one of the most important parts of modern mathematics. In addition, its
applications continue to spread more and more fields. The purpose of this course is to present
the principal topics of linear algebra and to illustrate the power of this subject through avariety of applications.
This course is a transitional course, in which a mathematical argument and the construction of the proof are introduced. However, the focus is on student mastery of the techniquesof linear algebra, which developed initially as efficient methods of solving linear systems ofequations. We will discuss the following topics:(1) Solution of linear systems by Gaussian elimination, including• pivot positions and free variables• reduced echelon form
• writing solution sets in parametric vector form
• relationship between solutions to a linear system and the related homogeneoussystem(2) Basic matrix operations, including• multiplication• transpose• inverse• determinant(3) Vector space concepts and linear transformations, including• linear independence and linear dependence• vector spans• basis of a vector space, dimension• coordinates of a vector space relative to a basis• null space and column space• rank of a matrix1• matrix of a linear transformation• change of basis(4) Eigenvalues and eigenvectors, including• finding eigenvalues from the characteristic equation• finding eigenspaces• diagonalization(5) Inner products, including• orthogonal projections• orthonormal basis

Grading Policies:Homework: Homework exercises will be assigned in each class. MyMathLab assignments
will be due at the next class period and written homework will be submitted approximately
weekly. Collaboration on homework is allowed and encouraged. Late homework will not be
accepted except in extenuating circumstances.
Attendance: Attendance is required and will be counted toward your final grade in thecourse.
Exams: There will be three midterm exams and a final exam. The class schedule will beposted on canvas. No credit will be given for missed examinations. Exception will be madefor illness.
Collaboration: You are encouraged to collaborate on solving the problems given as homework. However, the solutions should be written on your own and in your own words. Clearly,
there is no collaboration on exams.
Point Distribution:• Written Homework - 10 points• MyMathLab Homework - 10 points• Attendance - 5 points• Midterm Exams - 3 at 15 points each
• Final Exam - 30 points
Learning Outcomes for Math 330:
(1) The student will become better at reasoning with abstract ideas in a quantitative
context. In particular, the student will learn to determine if particular examples
satisfy a mathematical definition and to construct simple examples and non-examples
to mathematical definitions.
(2) The student will understand and use standard linear algebra concepts, including
vector spaces, subspaces, spanning sets, linear independence, basis, dimension, changeof coordinates, standard matrix operations, null and column spaces of a matrix,
rank, linear transformations, eigenvalues, eigenvectors, inner product spaces, andorthogonality. The student will understand and use the relationships between theseconcepts.
2(3) The student will learn to perform the following procedures and understand why theseprocedures produce the desired answers:• Compute the solution set to a linear system by using Gaussian elimination tobring the augmented matrix to reduced echelon form, then using the reduced
echelon form to write the solution set in parametric vector form.
• Standard matrix operations including addition, multiplication, and finding theinverse.
• Determine the eigenvalues of a matrix using the characteristic equation and findthe eigenspace corresponding to a given eigenvalue.
• Compute the coordinates of a vector and the matrix of a linear transformation
with respect to different bases.
• Generate an orthogonal basis for a given space.
(4) The student will improve their ability to communicate clearly, effectively, and in an
organized fashion their reasoning, their understanding of concepts and their relationships to each other, and their understanding of procedures and their justification.
The remaining UI syllabus language on CETL’s syllabus page should be considered as partof this document.

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