A course focusing on the fundamental techniques and applications of calculus including differentiation and integration of functions of one real variable, differential equations, numerical methods, and an introduction to power series with applications to mathematical models. 160.101, alongside 160.102, 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.



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).



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




Course planning information

Expected prior learning

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


Similar content
160112, 160133, 228172

You cannot enrol in this course if you have passed (or are enrolled in) any of the course(s) above as these courses have similar content or content at a higher level.

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 Calculate limits, derivatives, integrals, and power series of single-variable functions.
  • 2 Apply the concepts and techniques of differentiation and integration to a variety of applications.
  • 3 Apply numerical methods to obtain approximations to the solutions of equations and to definite integrals.
  • 4 Use computer software (such as MATLAB) to carry out graphical, numerical and symbolic explorations.
  • 5 Communicate mathematical arguments in appropriate mathematical language/symbols.

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


Assessment Learning outcomes assessed Weighting
Test 1 2 3 4 5 25%
Test 1 2 3 5 25%
Test 1 2 3 5 25%
Exam (centrally scheduled) 1 2 3 5 25%

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.
You may be assessed on your participation in activities such as online fora, laboratories, debates, tutorials, exercises, seminars, and so on.
Creative, learning, online, narrative, photographic, written, and other portfolios.
Practical or placement
Field trips, field work, placements, seminars, workshops, voluntary work, and other activities.
Technology-based or experience-based simulations.
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.




Campus Books stock textbooks and legislation. For more information visit Campus Books.