# Linear Algebra

Maynooth University

## Course Description

• ### Course Name

Linear Algebra

• ### Host University

Maynooth University

• ### Location

Dublin, Ireland

• ### Area of Study

Algebra, Mathematics

• ### Language Level

Taught In English

• ### Prerequisites

MT243P or equivalent

• ### 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 the student to linear algebra.

Vector spaces over the rationals, reals and complex numbers; basis and dimension; linear maps; rank and nullity; eigenvalues and eigenvectors; diagonalisation; dual spaces; inner product spaces.

Learning Outcomes:

-Define a vector space.
-Obtain a basis and the dimension of a vector space.
-Explain the terms rank and nullity.
-Find eigenvalues and vectors.
-Define dual and inner products spaces.
-Deduce simple properties from any definitions given in the course.
-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, 51 private study hours.

Assessment:
Continuous Assessment: 30%
University scheduled written examination: 70%

Pre-requisites
MT243P or equivalent

### 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.