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Faculty of Science Mathematics & Statistics
Faculty of Science

Mathematics & Statistics

MATH 3X03, Winter 2019

COMPLEX ANALYSIS I

In this course you will learn the fundamental ideas and surprising results in the study of functions of a complex variable. Once a complex function is differentiable it satisfies a whole range of magical properties: surprising identities relating its integrals and derivatives; you can count its zeros by calculating an integral; the level curves form orthogonal webs; and you can turn the plane into the sphere.  By opening up to complex values, you will solve problems involving real variables and functions, which seemed impossible from the real number point of view. Topics include analytic functions, series, residue theorem, conformal maps with applications. 

INSTRUCTOR:  E. Sawyer

Course Website

Calendar Description
3 unit(s) 
Analytic functions, Cauchy’s theorem, Cauchy’s integral formula, residues, zeroes of analytic functions; Laurent series, the maximum principle.
Three lectures, one tutorial; one term
Prerequisite(s): MATH 2R03 and 2XX3

PLEASE REFER TO MOSAIC FOR THE MOST UP-TO-DATE INFORMATION ON TIMES AND ROOMS

 

 

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McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca