Linear Algebra 2 (A)

Maynooth University

Course Description

• Course Name

Linear Algebra 2 (A)

• Host University

Maynooth University

• Location

Dublin, Ireland

• Area of Study

Algebra, Mathematics

• Language Level

Taught In English

• Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

Hours & Credits

• ECTS Credits

5
• Recommended U.S. Semester Credits
2
• Recommended U.S. Quarter Units
3
• Overview

Module Objective:
To introduce students to inverses and determinants of n x n ? matrices, Vector spaces, Eigenvectors and eigenvalues.

Inverse and determinants of n x n - matrices; eigenvalues and eigenvectors; vector spaces; basis and dimension; linear maps; rank and nullity. Computation using mathematical computing software.

Learnig Outcomes:
On successful completion of the module, students should be able to:
-Solve systems of linear equations.
-Calculate the inverse and determinant of an n x n matrix and understand their meaning.
-Obtain the eigenvalues and eigenvectors of an n x n matrix.
-Find a basis and the dimension of a vector space.
-State and prove basic results regarding vector spaces and subspaces.
-Define the terms rank and nullity and understand their meaning.
-Apply basic results regarding linear transformations.
-Use the methods from the course to solve problems. State definitions and theorems covered in the course.

Teaching & Learning Methods:
24 lecture hours, 5 tutorial hours, 3 Lab hours, 48 private study hours.

Assessment:
Continuous Assessment: 25%
University scheduled written examination: 75%

Pre-requisites: MT111S or MT112A

Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.