# MTH 341: Linear Algebra IWinter 2017

## The class comprehensive Final Exam will be given on Friday, March 24th, 2017 from 7:30-9:20 am in BEXL 320

### Professor:

Dr. Vrushali Bokil
Office: Kidder 048
Office Hours: MW 12pm-1pm .
Email: Click to email: bokilv at math dot oregonstate dot edu
Note: Outside of class and office hours, questions should be addressed via email. Emails will be answered during working hours between 9am-5pm. Depending on my schedule, emails may not get answered the same day. So please allow 24 hours for a response.

### Course Information:

Time/Classroom: MWF 11:00-11:50 am, BEXL 320

Registration Details: CRN:39808, Section:003

Required Textbook : Elementary Linear Algebra by Kenneth Kuttler [KK].

Course Description: In this introductory course 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. Sections of Chapters 4,5,6,8,9 and 12 of the required text [KK] will be covered in this class. Topics covered in this course include:

• Solving systems of equations by Gaussian Elimination.
• Matrix operations, including matrix inverse.
• Linear Transformations (definition and connection with matrices)
• Determinants.
• Row space, column space, null space, Rank-Nullity Theorem.
• Subspaces, linear independence/dependence, span, basis, and dimension (with a focus on R^n)
• Eigenvalues and eigenvectors.

Learning Outcomes : After succesfully completing Math 341, a student should be able to
• Determine the number of solutions to a system of linear equations and solve the system.
• Perform the operations of addition, scalar multiplication and multiplication on matrices.
• Determine if a square matrix is invertible and be able to find the inverse of an invertible matrix.
• Calculate the rank of a matrix, its column space and null space.
• Determine whether a set of vectors is linearly independent; find a basis for a spanning set.
• Calculate the determinant of a matrix and understand its significance..
• Calculate the eigenvalues, eigenvectors and eigenspaces of a square matrix.

Reading Assignments: Look at the Course Calendar for sections that are covered in each lecture. Reading material will be assigned in class. NOTE: While it may not be stated explicitly each day, students are expected to read each section to be covered before class. Questions not addressed during class time should be asked in office hours. Students are responsible for any material missed due to absence.

• Written Assignments (30%): Homework is required for this course. There will be weekly assignments given in class and recorded on the class calendar. Students should turn in individual copies with neatly written solutions on canvas on the due date. Due dates/times will be posted on the Course Calendar. Late assignments will not be accepted and will not receive any credit.

• Midterm Exam (30%): Tentatively scheduled for Monday, February 13th, 2017, in BEXL 320 from 11:00-11:50 am. There will be no makeup exams. Absence from the midterm gives a score of 0 for the midterm. Books, notes, or graphing/programmable calculators will NOT be allowed on exams. Exam problems will be based on class lectures and assigned homework problems.

• Final Exam (40%): A comprehensive final exam will be given on Friday, March 24th, 2017 at 7:30 am in BEXL 320 . This date and time is set by OSU. Scheduling conflicts with the final exam must be resolved in advance. The Final Exam will be comprehensive, counts the equivalent of two midterm exams, and will serve as a make up for the midterm. Books, notes, or graphing/programmable calculators will NOT be allowed on the final exam.

• Course Grade Scale: The Grade for the course is determined by the best two of three exam scores and the written homework assignments. Each letter grade below corresponds to grades scored between the lower limit (including) and less than the upper limit (excluding).  A 90 - 100% A- 87 - 90% B+ 84 - 87% B 80 - 84% B- 77 - 80% C+ 74 - 77% C 70 - 74% C- 67 - 70% D+ 64 - 67% D 60 - 64% D- 57 - 60% F below 57%

Class Details and Announcements: Students should check this class website and the Canvas classpage for general information, announcements, assignments, due dates, exam dates and other policies regarding the class.

### Special Arrangements and Course Drop/Add Information:

• Disability Access: 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 Disability Access Services. 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.
• Makeup Policy: For make-up exams for official or emergency reasons and other special arrangements, please read the University's official policy Student Petitions to Change the Time of an Exam Please contact Professor Bokil to make arrangements. For all types of special arrangements appropriate documentation will be required.
• Course Drop/Add Information: See Office of the Registrar and Academic Calendars