160133

Processes in Mathematics

A mathematical foundation for further studies in mathematics, statistics, natural and computing sciences, business and education. It combines a blend of concepts, techniques and applications. Topics from algebra and calculus include matrices, vectors and geometry, complex numbers, techniques and applications of differentiation and integration. The course follows from 160.132; well-prepared students from high school can enter 160.133 directly.

Course code

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

160133

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 who have achieved at least 18 credits in NCEA Level 3 Mathematics, including: (1) merit or excellence for the Differentiation and Integration standards AS91578 and AS91579; and (2) at least one of AS91575 Trigonometry, AS91577 Complex Numbers, AS91587 Simultaneous Equations, may apply to enrol in 160.133 directly.

Prerequisite courses

Complete first
160132, or 160111, or 228171, or 160101, or 160102, or 160103, or A- or better in 160131

You need to complete the above course or courses before moving onto this one.

Restrictions

Choose just one
160112, 228172, both of 160101, 160102 And, 160133 may not be taken at the same time as any of 160101, 160102 or 160111

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, calculate eigenvalues and eigenvectors, and manipulate complex numbers.
  • 2 Demonstrate proficiency with vectors, lines and planes in two and three dimensions.
  • 3 Demonstrate expertise at calculating derivatives and integrals of functions.
  • 4 Apply the concepts and techniques of algebra and calculus to a wide variety of applications.
  • 5 Use computer software to carry out graphical, numerical and symbolic investigations.

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

Assessments

Assessment Learning outcomes assessed Weighting
Practical/Placement 1 2 3 4 5 45%
Exam (centrally scheduled) 1 2 3 4 55%

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

CALCULUS, METRIC VERSION, EARLY TRANSCENDENTALS

Author
JAMES STEWART
ISBN
9780170279383
Edition
8TH
Publisher
BROOKS/COLE/CENGAGE LEARNING
Notes
Either: this textbook and Linear Algebra by Poole; Or: ebook which has excerpts from both books.

LINEAR ALGEBRA, A MODERN INTRODUCTION

Author
DAVID POOLE
ISBN
9780170279383
Edition
4TH
Publisher
BROOKS/COLE/CENGAGE LEARNING
Notes
Either: this textbook and Calculus by Stewart; Or: ebook which has excerpts from both books.

EBOOK: CP1031 - 160.133 PROCESSES IN MATHEMATICS

Author
DAVID POOLE AND JAMES STEWART
ISBN
9780170411349
Edition
2ND
Publisher
BROOKS/COLE/CENGAGE BRAIN
Notes
Either: this ebook; Or: two books, Calculus by Stewart and Linear Algebra by Poole.

Campus Books stock textbooks and legislation. Current second-hand textbooks are also bought and sold. For more information visit Campus Books.

Course delivery details

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