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Overview

Course Prescription

First and second order ordinary differential equations and solutions. Laplace transforms. Taylor series and series in general. Multivariable and vector calculus including divergence, gradient and curl. Further linear algebra. Eigenvalues and eigenvectors. Fourier series. Application of the techniques through appropriate modelling examples. Introductory data analysis and statistics.

Course Overview

This is a core course for all Engineering students and covers a range of mathematical and modelling topics that have applications across all branches of Engineering.  By the end of the course, students will have a good understanding of how to apply both analytical and numerical methods to solve the kinds of problems that commonly arise in Engineering.

Workload Expectations

This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.

For this course, you can expect 3 hours of lectures, 4 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation.

Course Prerequisites, Corequisites and Restrictions

Prerequisite
Restriction

Locations and Semesters Offered

LocationSemester
City
City

Teaching and Learning

Campus Experience

Attendance is expected at scheduled activities to complete components of the course.

Lectures will be available as recordings. Other learning activities including tutorials will not be available as recordings.

The course will not include live online events, but may involve material delivered online only via recordings.

Attendance on campus is required for written tests and exam.

The activities for the course are scheduled as a standard weekly timetable.

Learning Resources

Taught courses use a learning and collaboration tool called Canvas to provide students with learning materials including reading lists and lecture recordings (where available). Please remember that the recording of any class on a personal device requires the permission of the instructor.

Additional Information on Learning Resources

It is recommended that students obtain a hard copy of the course book, which is available from the University bookshop. An electronic copy of the course book is made freely available on Canvas.

Copyright

The content and delivery of content in this course are protected by copyright. Material belonging to others may have been used in this course and copied by and solely for the educational purposes of the University under license. You may copy the course content for the purposes of private study or research, but you may not upload onto any third-party site, make a further copy or sell, alter or further reproduce or distribute any part of the course content to another person.

Health and Safety

Students must ensure they are familiar with their Health and Safety responsibilities, as described in the university's Health and Safety policy.

Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed for potential plagiarism or other forms of academic misconduct, using computerised detection mechanisms.

Similarly, research students must meet the University’s expectations of good research practice. This requires:

  • Honesty - in all aspects of research work
  • Accountability - in the conduct of research
  • Professional courtesy and fairness – in working with others
  • Good stewardship – on behalf of others
  • Transparency – of research process and presentation of results
  • Clarity - communication to be understandable, explainable and accessible

For more information on the University’s expectations of academic integrity, please see the Academic Conduct section of the University policy hub.

Disclaimer

Elements of this outline may be subject to change. The latest information about taught courses is made available to enrolled students in Canvas.

Students may be asked to submit assessments digitally. The University reserves the right to conduct scheduled tests and examinations online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.


Additional Information on Academic integrity

Although the use of generative AI in helping you understand course material is permitted and encouraged, the use of these tools (e.g. ChatGPT, Gemini, etc.) for assessed coursework is not permitted

Assessment and Learning Outcomes

Additional Information on Assessment

A student's final mark for the course may not exceed their exam mark by more than 10%.

A passing mark is 50% or higher, according to University policy.

The test and exam are in-person and completed on paper. Students must sit the final exam to pass the course. Otherwise, a DNS (did not sit) result will be returned.

Late Policy: Late submissions will be dealt with under the course policy published on Canvas. In short, there are no late submissions allowed for Quizzes. Late assignments will be penalised at 4% of the marks available per hour, and this is automatically applied by Canvas.

Extensions: Procedures for extensions for illness or other unexpected events will be published on Canvas. 

Special Requirements

Please note that most students are required to take ENGSCI 211 in Semester 1. The semester 1 version of the course is taught via lectures and recorded lectorials and some flipped recordings.

The Summer School edition of ENGSCI 211 is restricted to the following students, due to limited capacity and resources:

  • Students repeating the course
  • Conjoint students (However capacity for conjoint students may be limited)
  • Students on special programmes approved by specialisation course advisors (e.g. transfer students from other institutions or part-time students)

Non-conjoint non-repeating students are required to take ENGSCI 211 in Semester One. Students who do not qualify will be dropped from the course.

Please note that approval will NOT be given to take ENGSCI 211 for reasons of balancing workload.

The summer school edition of ENGSCI 211 is taught in a mostly flipped model. That is:

  • Most lecture material will be delivered via recordings only.
  • There will be approximately 2-3 in-person lectorials each week, where additional examples are discussed and key ideas reinforced.
  • There will be an assessment for each topic, details to be confirmed.

Although there are lectures timetabled daily, we expect to only use about 2-3 sessions per week. Details will be confirmed on Canvas before the start of summer school.


Course Learning Outcomes

CLO #OutcomeProgramme Capability Link
1
2
3
4
5

Assessments

Assessment TypeAssessment PercentageAssessment Classification

Assessment to CLO Mapping

Assessment Type12345

Student Feedback, Support and Charter

Student Feedback

Feedback on taught courses is gathered from students at the end of each semester through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions. Your feedback helps teachers to improve the course and its delivery for future students. In addition, class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

Additional Information on Student Feedback

Responses to the 2025 S1 SET Evaluations state that lectorials, practice problems, and office hours were well-appreciated by students, as was the overall course structure with weekly quizzes, assignments and a comprehensive coursebook. We will be incrementally improving these in 2026.

The 2025 S1 SET Evaluations also highlighted the following points for improvement:

  • Course Pacing: we will aim to deliver the topics with more consistent pacing, but this is difficult with regular lecturer changes.
  • Data Analysis Topic: We are continually improving this topic, but do note that expectations are clear in the course materials.

Class representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

Additional Information on Class Representatives

Students will be represented by their elected Part II specialisation class reps.

Tuākana

Tuākana is a multi-faceted programme for Māori and Pacific students providing topic specific tutorials, one-on-one sessions, test and exam preparation and more. Explore your options at Tuakana Learning Communities.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor. Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website.

Wellbeing

We all go through tough times during the semester, or see our friends struggling. There is lots of help out there - please see the Support Services page for information on support services in the University and the wider community.

Special Circumstances

If your ability to complete assessed work is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due. If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page. This should be done as soon as possible and no later than seven days after the affected test or exam date.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter.

Student Academic Complaints and Disputes

Students with concerns about teaching including how a course is delivered, the resources provided, or supervision arrangements, have the right to express their concerns and seek resolution. The university encourages informal resolution where possible, as this is quicker and less stressful. For information on the informal and formal complaints processes, please refer to the Student Academic Complaints Statute in the Student Policies and Guidelines section of the Policy Hub.