# CSCI5560 Analysis of Boolean Functions

 Course code CSCI5560 Course title Analysis of Boolean Functions 布爾函數分析 Course description This course introduces various analytical tools for studying Boolean functions, and their applications in learning algorithm design complexity theory, social choice, property testing, additive combinatorics, Gaussian geometry, etc. 本科介紹各種研究布爾函數的工具，以及在學習演算法設計，複雜性理論，社會選擇，性質檢驗，加性組合，高斯幾何等領域中的應用。 Unit(s) 3 Course level Postgraduate Pre-requisite CSCI2110 or ENGG2440 or ESTR2004 Semester 1 or 2 Grading basis Graded Grade Descriptors A/A-:  EXCELLENT – exceptionally good performance and far exceeding expectation in all or most of the course learning outcomes; demonstration of superior understanding of the subject matter, the ability to analyze problems and apply extensive knowledge, and skillful use of concepts and materials to derive proper solutions. B+/B/B-:  GOOD – good performance in all course learning outcomes and exceeding expectation in some of them; demonstration of good understanding of the subject matter and the ability to use proper concepts and materials to solve most of the problems encountered. C+/C/C-: FAIR – adequate performance and meeting expectation in all course learning outcomes; demonstration of adequate understanding of the subject matter and the ability to solve simple problems. D+/D: MARGINAL – performance barely meets the expectation in the essential course learning outcomes; demonstration of partial understanding of the subject matter and the ability to solve simple problems. F: FAILURE – performance does not meet the expectation in the essential course learning outcomes; demonstration of serious deficiencies and the need to retake the course. Learning outcomes At the end of the course of studies, students will have acquired the ability to 1. write a Boolean function in its Fourier expansion form, 2. use Fourier transform to analyse some properties of Boolean functions, 3. design efficient algorithms using function analytical tools for certain problems 4. prove lower bounds for certain computational tasks using function analytical tools Assessment (for reference only) Presentation: 50% Others: 50% Recommended Reading List 1. Analysis of Boolean Functions, Ryan O’Donnell, Cambridge University Press, 2014

 CSCIN programme learning outcomes Course mapping Upon completion of their studies, students will be able to: 1. identify, formulate, and solve computer science problems (K/S); T 2. design, implement, test, and evaluate a computer system, component, or algorithm to meet desired needs (K/S); TP 3. receive the broad education necessary to understand the impact of computer science solutions in a global and societal context (K/V); 4. communicate effectively (S/V); 5. succeed in research or industry related to computer science (K/S/V); T 6. have solid knowledge in computer science and engineering, including programming and languages, algorithms, theory, databases, etc. (K/S); TP 7. integrate well into and contribute to the local society and the global community related to computer science (K/S/V); 8. practise high standard of professional ethics (V); 9. draw on and integrate knowledge from many related areas (K/S/V); T Remarks: K = Knowledge outcomes; S = Skills outcomes; V = Values and attitude outcomes; T = Teach; P = Practice; M = Measured