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JOHN CABOT UNIVERSITY

COURSE CODE: "MA 491"
COURSE NAME: "Linear Algebra "
SEMESTER & YEAR: Fall 2018
SYLLABUS

INSTRUCTOR: Andrea Marinucci
EMAIL: [email protected]
HOURS: MW 4:30-5:45 PM
TOTAL NO. OF CONTACT HOURS: 45
CREDITS: 3
PREREQUISITES: Prerequisite: MA 198
OFFICE HOURS: By appointment, MW 6:00-6:45 pm

COURSE DESCRIPTION:
This course introduces students to the techniques of linear algebra and to the concepts upon which the techniques are based. Topics include: vectors, matrix algebra, systems of linear equations, and related geometry in Euclidean spaces. Fundamentals of vector spaces, linear transformations, eigenvalues and associated eigenvectors.
SUMMARY OF COURSE CONTENT:

Linear equations and matrices; determinants and their applications; real vector spaces, with particular emphasis on inner product spaces; eigenvalues and eigenvectors.

LEARNING OUTCOMES:

Upon successful completion of the course, students will be able to:

- Solve application problems of systems of linear equations.

- Perform the operations of addition, scalar multiplication, multiplication, and find the inverses and transposes of matrices.

- Calculate determinants using row operations, column operations, and expansion down any column or across any row.

- Prove algebraic statements about vector addition, scalar multiplication, inner products, projections, norms, orthogonal vectors, linear independence, spanning sets, subspaces, bases, dimension and rank.

- Find the kernel, rank, range and nullity of a linear transformation.

- Calculate eigenvalues, eigenvectors and eigenspaces.

- Determine if a matrix is diagonalisable, and if it is, diagonalise it.

TEXTBOOK:
Book TitleAuthorPublisherISBN numberLibrary Call NumberComments
Elementary Linear Algebra with applications. Ninth editionBernard Kolman David R. HillPearson – Prentice HallISBN-13: 9780132296540  
REQUIRED RESERVED READING:
NONE

RECOMMENDED RESERVED READING:
NONE
GRADING POLICY
-ASSESSMENT METHODS:
AssignmentGuidelinesWeight
HomeworkHomework assignments will be graded: the average grade weighs 20 percent of the final grade.20%
AttendanceFull credit for attendance will be given to students with three or fewer unexcused absences. Four or more absences will result in a proportional reduction of the grade.10%
Mid-term exam 30%
Final exam (comprehensive) 40%

-ASSESSMENT CRITERIA:
AWork of this quality directly addresses the question or problem raised and provides a coherent argument displaying an extensive knowledge of relevant information or content. This type of work demonstrates the ability to critically evaluate concepts and theory and has an element of novelty and originality. There is clear evidence of a significant amount of reading beyond that required for the course
BThis is highly competent level of performance and directly addresses the question or problem raised.There is a demonstration of some ability to critically evaluatetheory and concepts and relate them to practice. Discussions reflect the student’s own arguments and are not simply a repetition of standard lecture andreference material. The work does not suffer from any major errors or omissions and provides evidence of reading beyond the required assignments.
CThis is an acceptable level of performance and provides answers that are clear but limited, reflecting the information offered in the lectures and reference readings.
DThis level of performances demonstrates that the student lacks a coherent grasp of the material.Important information is omitted and irrelevant points included.In effect, the student has barely done enough to persuade the instructor that s/he should not fail.
FThis work fails to show any knowledge or understanding of the issues raised in the question. Most of the material in the answer is irrelevant.

-ATTENDANCE REQUIREMENTS:
ATTENDANCE REQUIREMENTS AND EXAMINATION POLICY
You cannot make-up a major exam (midterm or final) without the permission of the Dean’s Office. The Dean’s Office will grant such permission only when the absence was caused by a serious impediment, such as a documented illness, hospitalization or death in the immediate family (in which you must attend the funeral) or other situations of similar gravity. Absences due to other meaningful conflicts, such as job interviews, family celebrations, travel difficulties, student misunderstandings or personal convenience, will not be excused. Students who will be absent from a major exam must notify the Dean’s Office prior to that exam. Absences from class due to the observance of a religious holiday will normally be excused. Individual students who will have to miss class to observe a religious holiday should notify the instructor by the end of the Add/Drop period to make prior arrangements for making up any work that will be missed.
ACADEMIC HONESTY
As stated in the university catalog, any student who commits an act of academic dishonesty will receive a failing grade on the work in which the dishonesty occurred. In addition, acts of academic dishonesty, irrespective of the weight of the assignment, may result in the student receiving a failing grade in the course. Instances of academic dishonesty will be reported to the Dean of Academic Affairs. A student who is reported twice for academic dishonesty is subject to summary dismissal from the University. In such a case, the Academic Council will then make a recommendation to the President, who will make the final decision.
STUDENTS WITH LEARNING OR OTHER DISABILITIES
John Cabot University does not discriminate on the basis of disability or handicap. Students with approved accommodations must inform their professors at the beginning of the term. Please see the website for the complete policy.

SCHEDULE

SessionSession FocusReading AssignmentOther AssignmentMeeting Place/Exam Dates
1st week and 2nd weekLinear Equations and matricesChap 1  
3rd week and 4th weekSolving linear systemsChap 2  
5th week, 6th week and 7th weekDeterminantsChap 3 Mid-term exam
8th week, 9th week and 10th weekReal Vector SpacesChap 4  
10th week, 11th week and 12th weekInner product spacesChap 5  
12th week, 13th week and 14th weekEigenvalues and eigenvectorsChap 7 Final exam (comprehensive). See University schedule for date and time.