• YKW.zip.

    M381 Number Theory and Mathematical Logic
    The tutorial notes below are designed for students of M381: Number Theory and Mathematical Logic. (If there is any mistake in the following notes, please inform me as soon as possible. Thank you very much!)

    1. Tutorial notes on Foundations and Turing machines I.(161K)

    2. Tutorialnotes on Prime numbers, Turing machines II and Abacus machines I.(425K)

    3. Tutorial notes on Congruence and Abacus machines II(259K) Abacus machines to Turing machines.(40K)

    4. Tutorial notes on Fermat's Little Theorem and Recursive functions.(580K)

    5. Tutorial notes on Multiplicative Functions and Church Thesis.(259K)

    6. Tutorial notes on Quadratic Reciprocity and Formal Systems.(153K)

    7. Tutorial notes on Continued Fractions and Quantifier Logic.(130K)

    8. Tutorial notes on Diophantine Equations and Formal Number Theory.(171K)

    9. Final Tutorial.(119K)

    M382 Number Theory and Coding Theory
    The tutorial notes below are designed for students of M382: Number Theory and Coding Theory. (If there is any mistake in the following notes, please inform me as soon as possible. Thank you very much!)

    1. Tutorial notes on Foundations and the Main Coding Theory Problem.(119K)

    2. Tutorial notes on Prime Numbers and Mathematical Prerequistes.(144K)

    3. Tutorial notes on Congruence and Linear Codes I.(130K)

    4. Tutorial notes on Fermat's Little Theorem and Linear Codes II.(118K)

    5. Tutorial notes on Multiplicative Functions and Review on Coding Theory.(157K)

    6. Tutorial notes on Quadratic Reciprocity and BCH Codes.(116K)

    7. Tutorial notes on Continued Fractions and Cyclic Codes.(144K)

    8. Tutorial notes on Diophantine Equations and Cryptography.(144K)

    9. Tutorial notes on Final Tutorial.(92K)

    M336 Groups and Geometry
    The tutorial notes below are designed for students of M336: Groups and Geometry. (If there is any mistake in the following notes, please inform me as soon as possible. Thank you very much!)

    1. Tilings & Groups: properties and patterns.(360K)

    2. Frieze patterns & Groups: axoims and their consequences, Supplementary Notes.(88K)

    3. Properties of the integers & Abelian and cyclic groups.(122K)

    4. Counting with groups & Periodic and transitive tilings.(123K)

    5. Decomposition of Ableian groups & Finite groups 1.(206K)

    6. Two-dimensional lattices & Wallpaper patterns.(395K)

    7. Sylow's theorems & Finite groups 2.(127K)

    8. Groups and solids in three dimensions & Three-dimensional lattices and polyhedra.(221K)

    9. Examination information.(57K)

    M337 Complex Analysis
    The tutorial notes below are designed for students of M337: Complex Analysis. (If there is any mistake in the following notes, please inform me as soon as possible. Thank you very much!)

    1. Tutorial notes on 26-4-03.(325K)

    2. Tutorial notes on 31-5-03.(203K)

    3. Tutorial notes on 28-6-03.(129K)

    4. Tutorial notes on 26-7-03.(136K)

    5. Tutorial notes on 13-9-03.(129K)

    6. Tutorial notes on 18-10-03 (First Draft).

    7. Tutorial notes on 15-11-03.(170K)

    8. Tutorial notes on 13-12-03.(195K)

    9. Tutorial notes on 17-1-04.(74K)