The aim of this paper is to develop confidence and capability in the concepts and techniques of modern mathematics and its applications.
The paper delivers a standard syllabus combining calculus and linear algebra, but does so in a way that demonstrates how different concepts link together and why they are important. Calculus has been described as one of the most important tools in science. It allows us to think mathematically about continuous change, area and volumes. Linear algebra is invaluable for working with processes and models in high dimensions, linking both with calculus as well as geometry and data science.
The calculus and linear algebra covered in this paper provide the foundation for future study in mathematics and also the application of mathematics in other disciplines.
About this paper
| Paper title | Fundamentals of Modern Mathematics 1 |
|---|---|
| Subject | Mathematics |
| EFTS | 0.1500 |
| Points | 18 points |
| Teaching period(s) | Semester 1
(On campus)
Semester 2 (On campus) |
| Domestic Tuition Fees ( NZD ) | $981.75 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Restriction
- MATH 101, MATH 102, MATH 160, MATH 170
- Schedule C
- Arts and Music, Science
- Notes
- It is strongly recommended that students enrolling in MATH 130 have a background in NCEA Level 2 Mathematics with Calculus or equivalent.
- Eligibility
The paper assumes a mathematics background of a level equivalent to NCEA level two, though mathematics equivalent to NCEA level three is recommended.
- Contact
For more information, contact David Bryant - david.bryant@otago.ac.nz - (Semester One) or Joerg Hennig - joerg.hennig@otago.ac.nz - (Semester Two).
- Teaching staff
To be advised.
- Paper Structure
The paper brings together ideas from calculus, algebra and geometry, teaching foundational skills for study in mathematics and for the application of mathematics in multiple disciplines.
Calculus is all about how to think mathematically about phenomena which change continuously in time, with examples drawn from mechanics, physiology, physics, mathematical biology, physical geography, surveying, and a wide range of other disciplines.
In linear algebra we introduce matrices and matrix algebra, demonstrating links with geometry and data analysis.
We look at how combining these strands allows us to deal with high dimensional models and problems.- Textbooks
No textbook required.
- Graduate Attributes Emphasised
Information literacy, Interdisciplinary perspective, Critical thinking, Lifelong learning
View more information about Otago's graduate attributes.- Learning Outcomes
Students who successfully complete the paper will:
- Realise how mathematical formalism is used for solving real-world problems
- Use notation, algebra and the language of mathematics with increasing fluency and confidence
- Apply mathematics within multiple disciplines
- Work with mathematical expressions and develop skills for communicating mathematics