Use the Tab and Up, Down arrow keys to select menu items.
This course will develop the students’ skills in mathematically rigorous thinking through the study of analysis, one of the fundamental subjects within mathematics. Throughout the course, students will acquire the necessary tools to formulate and prove results about a range of topics, including the real number system and limits.
This course comprises an introduction to Real Analysis, a topic that is both fundamental to any kind of "continuous" mathematics and fundamental to developing certain types of mathematically rigorous thinking. It gives a deeper understanding of the real number system and limits, and develops these ideas to shore up the foundations of differentiation and integration.Alongside tidying up calculus, the course goals are to develop mathematical thinking, rigour and the construction of clear and precise mathematical arguments that communicate your thinking to others. You will learn about the role that axiomatic, abstract theory plays in mathematics by working with the concepts and actually doing mathematics!
Upon successful completion of the course, students will:understand a range of topics in real analysis;be able to formulate formal mathematical arguments and proofs;be able to work with both concrete examples and more abstract, axiomatic theory;appreciate the wider relevance of the topics covered.
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
Employable, innovative and enterprising
Students will develop key skills and attributes sought by employers that can be used in a range of applications.
MATH103, MATH199 or EMTH119.
MATH222, MATH243
Students must attend one activity from each section.
Rua Murray
Miguel Moyers Gonzalez
Textbook – recommended readingThere is no set text for this course. There will be skeleton notes provided on AKO | LEARN. Your completed notes, if carefully taken, will contain all the information you need. However, if you would like to do some background reading, you may find the following books useful.•William F. Trench, Introduction to Real Analysis. Downloadable from http://ramanujan.math.trinity.edu/wtrench/misc/index.shtml or http://digitalcommons.trinity.edu/mono/7/ (link on Learn too)•Michael Spivak, Calculus, Publish or Perish.
Domestic fee $847.00
International fee $4,988.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .