Real Analysis

Undergraduate | 2026

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Area/Catalogue
MATH X206
Course ID icon
Course ID
207613
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course level icon
Course level
2
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Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes
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Note:
Course data is interim and subject to change

Course overview

The course introduces the real number system as the unique complete ordered field and moves on to a rigorous development of the core topics of mathematical analysis in the setting of the real line. At the same time, the course is an introduction to rigorous mathematics and develops learners’ skills in creating and working with careful mathematical arguments.

  • The Real Numbers
  • Sequences And Topology
  • Continuity, Differentiation, Integration

Course learning outcomes

  • Describe the fundamental properties of the real numbers that underpin the formal development of real analysis
  • Demonstrate an understanding of the theory of sequences and series, continuity, differentiation, and integration
  • Demonstrate skills in constructing rigorous mathematical arguments
  • Apply the theory in the course to solve a variety of problems at an appropriate level of difficulty
  • Demonstrate skills in communicating mathematics

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A