# Linear Algebra I MTH 341 - Sec 030

### Course Description:

In this introductory course (3 credit hours) on Linear Algebra, we will study systems of linear equations and their solution using matrix algebra, compute determinants of matrices, linear transformations and eigenvalues and eigenvectors of matrices. Topics covered in this course include:
• Solving systems of linear equations by Gaussian Elimination
• Matrix operations, conditions for invertibility
• Determinants
• Definition of linear transformations and connection with matrices
• Subspaces of R^n, linear independence, span, basis, and dimension
• Row space, column space, null space, rank-nullity theorem
• Eigenvalues and eigenvectors
Sections of Chapters 4,5,6,8,9 and 12 of the required text will be covered in this class.

Learning Outcomes : After succesfully completing Math 341, a student should be able to

• Use Gaussian elimination to determine the solution set of a system of linear equations, and describe the solution set.
• Perform matrix operations, including finding the inverse or showing no inverse exists for a square matrix.
• Calculate determinants of square matrices and apply properties of determinants to draw conclusions about solution sets of linear equations and invertibility.of matrices.
• Find and use the matrix representation of a linear transformation associated to the standard basis in Euclidean space R^n.
• Use the definition to determine whether a subset of R^n is a subspace.
• Determine if a collection of vectors is linearly independent or dependent, and find the span of a set of vectors.
• Use the rank-nullity theorem to draw conclusions about solution sets to linear systems and the invertibility status of square matrices.
• Determine a basis for and the dimension of a given subspace, including the null space and column space of a matrix and the eigenspaces of square matrices.

Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at http://ds.oregonstate.edu. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.

 Homework 30% Midterm 30% Final 40% Total 100%

 A 93 A- 90 B+ 87 B 83 B- 80 C+ 77 C 73 C- 70 D+ 67 D 63 D- 60

### Homework

Homework is required for this course. Assignments will be posted on canvas, and will consist (mostly) of problems from the text. Exam problems will (mostly) be similar to homework problems. There will be five homework assignments. Students may work together, but must turn in individual copies.

While it may not be stated explicitly each day, students are expected to read each section to be covered. Questions not addressed during class time should be asked in office hours. Students are responsible for any material missed due to absence.

### Exams

There will be one midterm exam and one cummulative final exam (with two distinct parts). There will be no makeup exams. Missed midterm grades may be replaced by the grade from the first part of the final. Scheduling conflicts with the final exam must be resolved in advance. No books, notes, phones, or graphing/programmable calculators will be allowed on exams. Scientific calculators are allowed but will not be needed.

sample midterm problems sample final problems (Note: does not include LU, but it should!)

Last updated: Mon Nov 28 17:06:38 PST 2016