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Bailey World of Math

Bailey World of MathBailey World of MathBailey World of Math
  • Home
  • Calculus 1
  • Calculus 2
  • Logic and Coding
  • Math Intervention
  • Homework Chart/Test Clndr
  • Senior Hub
  • Advanced Math Topics
  • American Math Competition

Set Theory

These are notes and problem sets from my Unit on Set Theory 

Lesson_4_CartesianProduct_AxiomChoice_SequenceSpace (pdf)Download
Lesson_4_Sets and Operations (pdf)Download
Lesson_5_Power Set and Relations (pdf)Download
Lesson_6_Functions (pdf)Download
Lesson_6b_Functions (pdf)Download
Lesson_7_Countable and Uncountable (pdf)Download
Lesson_8_Countable and Uncountable (pdf)Download
Lesson_9_Combinatorics (pdf)Download
Problems_CLS (pdf)Download
Problems_Functions (pdf)Download
Problems_Review_NumbertheorytoFunctions (pdf)Download
Problems_Set_Operations (pdf)Download
Problems_Sets_and_Functions (pdf)Download
Lesson_4_Sets and Operations_Pres (pdf)Download
Function_Pres (pdf)Download

Number Theory

Here are some notes and problems of my Number Theory Unit

Induction (pdf)Download
ClassWork_Induction2 (pdf)Download
Lesson 9_Combinatorics (pdf)Download
Lesson_8_Euclidean Algorithm (pdf)Download
Lesson_8b_Euclidean Algorithm Part 2 (pdf)Download
Lesson_9_Combinatorics_Hwk_Solutions (pdf)Download

Group Theory

These are some of the Group Theory notes and problem sets I've written (and some co-written with my husband Dr. Paul Bailey) 

Binary Operations (pdf)Download
Introduction to Groups (pdf)Download
Worksheet mod n (pdf)Download
Permutations Group (pdf)Download
Dihedral Group Worksheet to accompany shapes (pdf)Download
DihedralGroupFunFacts (pdf)Download
Subgroups (pdf)Download
Cosets, Theorems and S_n (pdf)Download
Group Homomorphism (pdf)Download
Cosets of the Kernel (pdf)Download
Homomorphism Examples (pdf)Download
homomorphism problems (pdf)Download
More Homomorphism Examples (pdf)Download
Normal Subgroups and Quotient Groups (pdf)Download

Metric Spaces and Topological Spaces

These are my notes and problem sets for Metric Spaces and Topological Spaces. Some of these were written and cowritten with my husband, Dr. Paul Bailey. 

Introduction to Metric Spaces (pdf)Download
Topoogy Lecture 4 (pdf)Download
Introduction to Topolgy (pdf)Download
Topological Properties (pdf)Download
Topological Spaces (pdf)Download
alphabet_chart (pdf)Download
Fundamental Group (pdf)Download
HOMOTOPY (pdf)Download
lecture_6_fundamental_group (pdf)Download
MANIFOLD (pdf)Download
Manifolds and Covering Spaces (pdf)Download
manifolds lecture (pdf)Download
covering spaces and path lifting (pdf)Download
Covering_space_of_Circle (pdf)Download
EVENCOV (pdf)Download

Intro to Set-Based Categories

These are the notes on my Categories unit. Some of these notes were written by my husband, Dr. Paul Bailey, and some were cowritten with him. 

Categories Lecture 1 (pdf)Download
Categories_classwork (pdf)Download
Category and Group Actions (pdf)Download
EpiMonoMorphisms (pdf)Download
Functors1 (pdf)Download
Fundamental Group.Notespdf (pdf)Download
Fundamental Group (pdf)Download
Fundamental Group (pptx)Download
Universal Objects (pdf)Download
Product_CoProduct (pdf)Download
algebraic categories Solutions (pdf)Download
algebraic categories (pdf)Download
Algebraic Objects (pdf)Download

Complex Analysis

These are some of the notes I've written for my Complex Analysis class

complexnumpres (pdf)Download
Lines and Circles on the Complex Plane (pdf)Download
Rootsofunity_PRes (pdf)Download
TopologyonC (pdf)Download
comple_CR_suff (pdf)Download
Complex_Function_Pres (pdf)Download
Complex_Polar_Analy (pdf)Download
complimitfunctions (pdf)Download
Laurentseries (pdf)Download
complex_mappings (pdf)Download
Conformal Mappings (pdf)Download
Mobius circles (pdf)Download
Mobius Transformations (pdf)Download
Stereographic Projection (2) (pdf)Download

More Complex Analysis

More of my notes and problem sets on my complex analysis class using Churchill and Ahlfors.

complex5 (pdf)Download
complexhwk3 (pdf)Download
complexhwk4 (pdf)Download
Comp_int_hwk (pdf)Download
comple_Integr-Intro (pdf)Download
Complex Integration Assumed Vector Calculus (pdf)Download
Complex Integration Assumed Vector Calculus2 (pdf)Download
complexint (pdf)Download
GreensTheoremUandV (pdf)Download
Uniform (pdf)Download
paraindep (pdf)Download
Path Integration (pdf)Download
Cauchy Integral Formula (pdf)Download
Complex_Integral_Formulas_and_Corollaries_Pres (pdf)Download

Linear Algebra

My notes and problem sets from my linear algebra course using Shifrin, Malcolm and Adams

Intro_to_Vectors_Notes (pdf)Download
Intro_to_Vectors_Pres (pdf)Download
Linear_Comb_Spanning_Rn (pdf)Download
Lines and Planes Notes (pdf)Download
1_2_Dot_Product (pdf)Download
1_3_Cross_Product (pdf)Download
4FundamentalSubspaces (pdf)Download
Bases_and_dimension (pdf)Download
Incident Matrices (pdf)Download
Subspaces (pdf)Download
DeterminantHwk (pdf)Download
EigenHwk (pdf)Download
Linear Transformations, Determinants and Eigenstuff (pdf)Download
Subspaces and stuff (pdf)Download

Vector Calculus

My Notes and Problem Sets from my Vector Calculus course using Thomas' Calculus.  

12.1 and 12.2 Vectors and Vector Algebra (pdf)Download
12.3 Dot Product (pdf)Download
12.4 Cross Product (pdf)Download
12.5 Lines and Planes in Space (pdf)Download
12.6 Graphing in 3 dimensions (pdf)Download
13.1 Curves in Space (pdf)Download
13.1 Limits and Continuity (pdf)Download
13.2 Integrals of Vector Functions and Projectile Motion (pdf)Download
13.3 Arc Length (pdf)Download
13.4 Normal Vectors and Curvature (pdf)Download
13.5 Tangential and Normal Components of Acceleration (pdf)Download
14.1 14.2 Functions oF Several Variables and Limits (pdf)Download
14.3 Partial Derivative Notes (pdf)Download
14.4 to 14.7 Chain Rule, Gradients, Tangent Planes and Saddle Points. (pdf)Download
14.8 Lagrange Multipliers (pdf)Download

More Vector Calculus

15.1 Fubini's Theorem (pdf)Download
15.2 Double Integral Theorem (pdf)Download
15.4 Double Integration in Polar Form (pdf)Download
15.6 Moments of Inertia (pdf)Download
15.7 spherical and cylnder coor (pdf)Download
15.8 The Jacobian (pdf)Download
Applications of multiple integral (pdf)Download
16.1 Line Integrals (pdf)Download
16.2 Vector Fields (pdf)Download
16.3 Conservative Vector Fields (pdf)Download
16.4 Green's Theorem in the Plane (pdf)Download
16.5 Surfaces and Area (pdf)Download
16.5b Implicit Surfaces (pdf)Download
16.7 Stoke's Theorem (pdf)Download
16.8 Unified Divergence Theorem (pdf)Download

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