MATH2521 is a Pure Mathematics Level II course about the calculus of complex-valued functions of one complex variable. See the course overview below.

This course has replaced MATH2520 which was previously a 3uoc course.

**Units of credit:** 6

**Assumed knowledge:** MATH1231 or MATH1241 or MATH1251 or DPST1014,

**Exclusions:** MATH2621, MATH2069

**Cycle of offering:** Term 3

**Graduate attributes:** The course will enhance your research, inquiry and analytical thinking abilities.

**More information:** This recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus.

The Online Handbook entry contains up-to-date timetabling information.

The higher version of this course, MATH2621 Higher Complex Analysis, is offered yearly in Term 3.

MATH2521 (alternatively MATH2621) is a compulsory course for Mathematics majors.

If you are currently enrolled in MATH2521, you can log into UNSW Moodle for this course.

#### Course Aims

This course aims to extend our understanding of differential and integral calculus from functions of a single real variable to functions of a complex variable. The differences between the two are often unexpected and very surprising. The theory of complex valued functions will give us many new insights into the real variable theory.

#### Course Description

This is a first course in the theory and applications of complex functions. Topics covered include analytic functions, Taylor and Laurent series, integrals, Cauchy's theorem, residues, evaluation of certain real integrals, Laplace transforms, conformal mappings, applications to differential equations.

MATH2521 is a core second year mathematics course. Either this course or MATH2621 Higher Complex Analysis is compulsory for Mathematics majors. The higher version is strongly recommended for students intending to proceed to Honours in mathematics.