Program Overview

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ENGR 121 Engineering Mathematics Foundations

An introduction to the range of mathematical techniques employed by engineers, including functions, calculus, linear algebra, vector geometry, set theory, logic, and probability. This course emphasizes engineering applications and modeling.

Course Details

• Dates: 23 Feb 2026 to 21 Jun 2026
• Starts: Trimester 1
• Fees: NZ$1,269.45 for domestic students, NZ$5,806.35 for international students
• Lecture start times:
  • Monday 9.00am
  • Tuesday 9.00am
  • Wednesday 9.00am
  • Friday 9.00am
• Campus: Kelburn
• Estimated workload: Approximately 150 hours or 8.8 hours per week for 17 weeks
• Points: 15

Entry Restrictions

Prerequisites

Courses you must pass before you can enroll in this course:

• 16 Achievement Standard credits NCEA Level 3 Mathematics
• 12 Achievement Standard credits NCEA Level 3 Mathematics excluding the statistics standards 91580, 91581, 91582, 91583, 91584
• MATH 132

Corequisites

You must either pass these courses before enrolling in this course, or take them at the same time:

• None

Restrictions

The courses listed contain similar content to this course. If you have already passed one of them, you cannot take this course:

• Both one of (MATH 141/QUAN 111) and one of (MATH 151, MATH 161, MATH 177)

Taught by

School of Mathematics and Statistics — Faculty of Science and Engineering

Disclaimer

This course outline may be subject to change.

Key Dates

Find important dates—including mid-trimester teaching breaks—on the University's key dates calendar. You'll be told about assessment dates once the course has begun.

About this Course

Topics covered in this course include: sets, number, functions, logic, algebraic techniques, trig functions, sequences, series, limits, differentiation, integration, vectors, matrix algebra, and probability.

Course Learning Objectives

Students who pass this course should be able to:

1. Read, interpret, and manipulate mathematical expressions and equations in a variety of contexts.
2. Apply mathematical concepts and techniques to analyze engineering systems and solve engineering problems.
3. Demonstrate mastery of a range of fundamental mathematical techniques.
4. Creatively and collaboratively combine skills and knowledge from mathematics, physics, computing, and engineering to model an engineering problem.

How this Course is Taught

Four lectures, one tutorial, and one two-hour lab some weeks. Lectures are recorded and available to students. This course is designed for in-person study, and students are strongly recommended to attend lectures, tutorials, and labs on campus. Some assessment items will require in-person attendance, particularly tests and the exam.

Assessment

• Assignments: 24%
• Lab Reports: 15%
• Tests 1-3: 60%
• Diagnostic quiz: 1%

Mandatory Requirements

In addition to achieving an overall pass mark of at least 50%, students must:

1. Attempt all tests. Achieve an average score of at least 30% across the tests. If you believe that exceptional circumstances may prevent you from meeting the mandatory course requirements, contact the course coordinator for advice as soon as possible.

Lecture Times and Rooms

• 23 February 2026 to 5 April 2026
• 20 April 2026 to 31 May 2026

What You'll Need to Get

You do not need to get any texts or equipment for this course.

Course Options

Choose when and where to take this course.

• Academic year: The academic year is the teaching period covered by trimesters 1, 2, and 3.
• Trimester: One of three teaching periods that make up the academic year—usually March to June, July to October, and November to February.
• CRN: A unique number given to a single version of a course. It differentiates between courses with the same course code that are taught in different trimesters or streams, or in different modes (for example, in person or online).

Select a Course Offering to View its Details

• Offering 23 Feb to 21 Jun, 9.00am on Monday, 9.00am on Tuesday, 9.00am on Wednesday, 9.00am on Friday, Kelburn, Trimester 1, CRN 26052
• Offering 6 Jul to 8 Nov, 9.00am on Monday, 9.00am on Wednesday, 9.00am on Thursday, 9.00am on Friday, Kelburn, Trimester 2, CRN 31158