MTHE 228 Study Guide - Final Guide: Hyperbolic Function, Partial Fraction Decomposition, Geometric Series

• School: Queen's University
• Department: Mathematics & Engineering Courses
• Course: MTHE 228
• Professor: Josue Vazquez- Becerra

Document Summary

Exam topics provided by : josu v squez-becerra, instructor of mthe 228 and ph. d. Equations and additional notes wri tten by: tom (ke jun) sung, b. a. sc. Saff, a. d. snider, fundamentals of complex analysis, 3 r d edition, pearson, Disclaimer: additional notes and equations added by the compiler may contain errors. Please consult the mentioned source upon discovering them. For additional information and clarification, please consult the mentioned source or in-class lecture notes from the instructor. Thank you: polar and rectangular form of complex numbers, + = & ( + ( *, -. /0123. 45 = cos() + sin(), where tan@a 2b. C5 = : cauchy-riemann equations (checks differentiability, harmonic conjugates, de. Dl = 0 (laplace equation), is harmonic: polynomial, rational, and trigonometric functions, taylor series: () = ( h)y. Y\h: partial fraction decomposition: () = b c\a. , where c, : trigonometric functions: cos() = lmnol0mn. , where : hyperbolic function relations: