160102

Algebra

A course focusing on the fundamental techniques and applications of linear algebra including vector and matrix algebra, vector representation of lines and planes, projections, Gaussian elimination, eigenvectors and complex numbers. 160.102, alongside 160.101, forms a foundation for further study in mathematics. It is essential for students intending to study Mathematics, Physics, Food Technology or Engineering, or for anyone who wants a strong mathematical component to their degree.

Course code

Qualifications are made up of courses. Some universities call these papers. Each course is numbered using six digits.

160102

Level

The fourth number of the course code shows the level of the course. For example, in course 219206, the fourth number is a 2, so it is a 200-level course (usually studied in the second year of full-time study).

100-level

Credits

Each course is worth a number of credits. You combine courses (credits) to meet the total number of credits needed for your qualification.

15

Subject

Mathematics

Course planning information

Expected prior learning

Students must have achieved at least 16 NCEA Level 3 credits in Mathematics, including one of (AS91577 algebra, AS91578 differentiation, or AS91579 integration), or passed 160.103, 160.105, 160.131 or 160.132 or equivalent.

Restrictions

Choose just one

The courses listed above have similar content to this one meaning you can only enrol in this course or one of the listed courses. Only one of the courses can be credited towards your qualification.

Learning outcomes

What you will learn. Knowledge, skills and attitudes you’ll be able to show as a result of successfully finishing this course.

  • 1 Solve systems of linear equations and perform algebraic calculations using vectors and matrices.
  • 2 Use vectors to solve problems involving lines and planes in three dimensions.
  • 3 Calculate determinants, eigenvalues, and eigenvectors of matrices, and demonstrate the ability to use these in applications.
  • 4 Demonstrate proficiency with the algebra and geometry of complex numbers.
  • 5 Use computer software (such as MATLAB) for matrix calculations and for solving systems of linear equations.
  • 6 Communicate mathematical arguments in appropriate mathematical language/symbols.

Learning outcomes can change before the start of the semester you are studying the course in.

Assessments

Assessment Learning outcomes assessed Weighting
Test 1 2 3 4 5 6 10%
Written Assignment 1 2 3 4 5 6 20%
Test 1 2 3 4 6 10%
Test 1 2 3 4 6 30%
Exam (centrally scheduled) 1 2 3 4 5 6 30%

Assessment weightings can change up to the start of the semester the course is delivered in.

You may need to take more assessments depending on where, how, and when you choose to take this course.

Explanation of assessment types

Computer programmes
Computer animation and screening, design, programming, models and other computer work.
Creative compositions
Animations, films, models, textiles, websites, and other compositions.
Exam College or GRS-based (not centrally scheduled)
An exam scheduled by a college or the Graduate Research School (GRS). The exam could be online, oral, field, practical skills, written exams or another format.
Exam (centrally scheduled)
An exam scheduled by Assessment Services (centrally) – you’ll usually be told when and where the exam is through the student portal.
Oral or performance or presentation
Debates, demonstrations, exhibitions, interviews, oral proposals, role play, speech and other performances or presentations.
Participation
You may be assessed on your participation in activities such as online fora, laboratories, debates, tutorials, exercises, seminars, and so on.
Portfolio
Creative, learning, online, narrative, photographic, written, and other portfolios.
Practical or placement
Field trips, field work, placements, seminars, workshops, voluntary work, and other activities.
Simulation
Technology-based or experience-based simulations.
Test
Laboratory, online, multi-choice, short answer, spoken, and other tests – arranged by the school.
Written assignment
Essays, group or individual projects, proposals, reports, reviews, writing exercises, and other written assignments.

Textbooks needed

Textbooks can change. We recommend you wait until at least seven weeks before the semester starts to buy your textbooks.

Compulsory

LINEAR ALGEBRA, A MODERN INTRODUCTION

Author
DAVID POOLE
ISBN
9781285463247.
Edition
4TH
Publisher
CENGAGE
Notes
PACK AVAILABLE: ISBN 9780170291361 INCLUDES SEM 2 TEXTBOOK BOOK CALCULUS 9ED STEWART 160101

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