Set Theory material (Lecture Note 1) by MK Garba, NF Gatta PDF free download

Topics: sets, roster form, set builder notation, set equality, null set, subsets, comparability. theorem, universal set, power set, disjoint sets, Venn-Euler diagrams, set operations, complement, comparable sets operation, principle of duality, finite sets, cardinality, inclusion-exclusion principle

Topics: Complementary Events, mutually exclusive events, addition rules, Dependent Events, independent Events, Multiplication Rules

Topics: Factorial Notation, permutation, combination

Topics: Statistical Inference, sampling, statistics, Sampling Techniques, Non-Probability Sampling Techniques, Large Sample Distribution of Means, Difference of Means, Central Limit Theorem, Sampling Distribution of Means, Large Sample Distribution of Proportion, Difference of Proportions, Large Sample Interval Estimation, estimation, Hypothesis Testing, Null Hypothesis, Scatter Diagram, Simple Bivariate Regression Model, Least Square Method, Correlation Analysis, Spear’s Ranking Order Correlation, Time Series Analysis, time series

Topics: Developmental linguistics, Psycholinguistics, Neurolinguistics, Sociolinguistics, Sounds, suprasegmentals, Consonants, vowels, Sound variation, Stylistic variation, Sound change, Consonant change, Vowel change, Suprasegmental change, Phonemes, syllables, phonological processes, Syllabification, Maximal Onset Principle, Phonological features, Child phonology, Processing sounds, Speech perception, Speech production.phonological processing, Word classes, words, Lexical categories, English verbs, Building words, Morphemes, Morphological processes, derivation, inflection, Compounds, Clitics, Allomorphy, agglutinative ideal, morphological operations, Word meaning, Entailment, hyponymy, Early words, Lexical processing, mental lexicon, Lexical disorders, aphasia, Agrammatism, Paraphasias, Lexical variation, Lexical change, Borrowing words, Sentences, Complex sentences, Sentence structure, Empty T constituent, Covert complements, Empty complementisers, Empty determiners, Yes–no questions, Syntactic variation, Children’s sentences, Sentence processing, Null Subject Parameter, Children’s nominals, Presuppositions, Relevance Theory, Context, coherence, Syntactic disorders, Agrammatism, Paragrammatism, Specific Language Impairment

Topics: measure theory, independence, integral, moments, laws of large numbers, convergence theorem, Lp-Spaces, Radon–Nikodym Theorem, Conditional Expectations, martingale, optional sampling theorem, Martingale Convergence Theorem, Backwards Martingale, exchangeability, De Finetti's theorem, convergence of measures, Characteristic Function, Central Limit Theorem, Infinitely Divisible Distribution, markov chains, Electrical Network, Ergodic Theory, Brownian motion, iterated logarithm, large deviations, Poisson point process, Itô Integral, Stochastic Differential Equations

Topics: data description, frequency distribution, graph, ogive, frequency polygon, central tendency, population variance, probability, counting rules, normal distribution, discrete probability distribution, confidence interval, sample size, hypothesis testing, correlation regression, chi-square test, analysis of variance, sampling, simulation, nonparametric statistics, Scheffé Test, turkey test, sampling techniques

Topics: Abstract Algebra, Binary Operations, groups, Symmetric Groups, subgroups, Isomorphism, Cosets, Lagrange's Theorem, Ring Theory, Quaternions, Circle Group, logic, Elementary Number Theory, partitions, Equivalence Relations, functions, Elementary Number Theory, Partitions, Equivalence Relations

Topics: statistics, summarizing data, listing, grouping, Numerical data, Stem-and-Leaf Displays, frequency distribution, graphical presentations, Summarizing Two-Variable Data, population, sample, mean, weighted mean, median, mode, grouped data, measures of variation, range, standard deviation, variance, posibility, probability, counting, permutation, combination, sample spaces, events, odds, conditional probability, multiplication rules, Bayes theorem, Mathematical Expectation, expectation, decision, decision making, Statistical Decision Problems, Random Variable, probability distributions, binomial distributions, hypergeometric distributions, Poisson distribution, Multinomial distribution, Mean of a Probability Distribution, Standard Deviation of a Probability Distribution, normal distribution, Continuous Distributions, sampling, random sampling, sample designs, systematic sampling, stratified sampling, cluster sampling, sampling distribuions, central limit theorem, estimation, Tests of Hypotheses, Significance Tests, One-Way Analysis of Variance, analysis of variance, Multiple Comparisons, Two-Way Analysis of Variance, Design of Experiments, Design of Experiments, regression, Curve Fitting, Regression Analysis, Multiple Regression, Nonlinear Regression, Coefficient of Correlation, correlation, Correlation Analysis, Multiple Correlation, Partial Correlation, Nonparametric tests, sign test, signed-rank test, U test, H test, Tests of Randomness, Rank Correlation

Topics: Set, Element, Equality of Sets, Subset, Complementary Set, Union, Intersection, Equivalent Set, Cardinal Numbers, finite set, Denumerable Sets, Non-denumerable Sets, Equivalence Theorem, infinite set, Ordinal Numbers, ordered set, Continuous Sets, point set

Topics: Group, function, permutation, isomorphism, group element, subgroup, function, cyclic group, partition, equivalence relation, counting coset, homomorphism, quotient group, homomorphism theorem, ring, quotient ring, integral domain, polynomial, factoring polynomial, extension of fields, vector space, field extension, ruler, compass, Galois theory, set theory

Topics: Production, Operations AnalysisStrategy, Competition, forecasting, sales, operations planning, linear programming, Inventory Control, Supply Chain Management, Service Operations Management, Queueing Techniques, Push and Pull Production Control Systems, Production Control Systems, Operations Scheduling, Project Scheduling, Facilities Layout, facilities Location, Quality Assurance, Reliability, Maintainability

Topics: discrete mathematics, mathematical logic, functions, proofs, set theory, set operations, axiomatic set theory, real numbers, arithmetic, induction, recursion, summation notation, Asymptotic notation, number theory, graphs, multiplication, exponentiation, binomial coefficients, generating functions, probability theory, random variables, Markov's inequality, probability generating functions, linear algebra, abstract vector spaces, finite fields

Topics: Discrete mathematics, logic, sets, functions, sequences, matrices, algorithms, Number theory, cryptography, induction, recursion, counting, discrete probability, advanced counting techniques, counting techniques, Linear Recurrence Relations, modelling computation, Finite-State Machines, relations, graphs, trees, boolean algebra, modelling computation, Boolean Functions, Logic Gates, Minimization of Circuits.Tree Traversal, Spanning Trees, Minimum Spanning Trees, Graph Models, Graph Terminology, Graph Isomorphism, Connectivity, Euler path, Hamilton Path, Shortest-Path Problems, Planar Graphs, Graph Coloring, Representing Relations, Equivalence Relations, Probability Theory, Bayes Theorem, variance, Pigeonhole Principle, permutation combination, binomial coefficient, Recursive Algorithms, Program Correctness, Divisibility, Modular Arithmetic, Integer Representations, Set Operations, Cardinality of Sets

Topics: Analysis Of Variance, ANOVA, Completely Randomized Design

Topics: Contingency Table

Topics: Correlation, simple regression, Correlation Analysis, Scatter Plot, Correlation Coefficient

Topics: terms, Experimental Design

Topics: Determination of Sample Size

Topics: estimation, parameter, statistic, interval estimation