
Basic Math Skills, Algebra, Geometry, Trigonometry, Calculus I & II (Single Variable Calculus), Statistics
Basic Math: Operations on Whole Numbers, Addition and Subtraction Using Fractional Notation, Addition and Subtraction Using Decimal Notation, Multiplication and Division Using Fractional Notation, Multiplication and Division Using Decimal Notation, Ratio and Proportion, Percent Notation, The Real Number System, Dimensional analysis, Number Systems Other than Base 10, Order of Operations, Exponents, Set Operations, Venn diagrams, Logic; Truth tables, Conditionals and Biconditionals.
Algebra: Linear equations; Applications, Absolute value  Inequalities; Linear, Absolute value, Non linear  Functions / Graphs; Function notation, Linear, Polynomials, Translations / Shifting / Reflecting graphs, Composition, Inverse functions  Roots of polynomials; Quadratic, Factoring, Complete square, Quadratic formula, Complex Numbers, Higher Degree, Factoring special cases, Synthetic division  Exponentials and Logs; Graphs, Properties, Solving equations  Systems of linear equations; 2 equations 2 unknowns, Matrix algebra, Gaussian elimination, Inverses, Determinates  Conics  Mathematics of finance; Simple/compound interest, Annuities, Amortization  Linear programming; Geometric approach, simplex method.
Geometry: Basic Definitions; Points, Lines, Rays, Angles, Triangles  Angles, Types, Measurements  Congruent Triangles  Planes and Parallel Lines  Circles, Polygons, Quadrilaterals  Coordinate Geometry, Midpoint, Slope, Distance Formula  Theorems, Postulates, and Proofs.
Trigonometry: Trigonometric functions; Angles and their measure, Right Triangle trigonometry, Functions of Any Angle, Applications  Graphs of Trigonometric Functions; Inverse Trig functions  Analytic Trigonometry, Solving equations, Verifying Identities, Formulas Law of Sins, Law of Cosines  Complex numbers  Vectors  Analytic Geometry; Conics, Polar equations.
Calculus: Limits; Definition, Limit Theorems, L'Hospital's Rule  Continuity; Intermediate Value Theorem  Derivatives; Chain Rule, Implicit Differentiation  Applications of Derivatives; Analysis of Graphs, Mean Value Theorem, Max/Min, Related Rates  Integrals; Definition, Definite Integrals, Fundamental Theorem of Calculus  Integration Techniques; Polynomials, Exponential and Logs, Trigonometric, Substitution, Trig substitution, Parts, Partial Fractions  Applications of Integrals; Length of Curves, Work, Volume, Surface Area  Parametric equations  Polar coordinates  Sequences and Series; Convergence test, Power series.
Statistics: Descriptive Statistics, Data Analysis (Graphic Representations, Measures of Central Tendency, Dispersion, Position, Regression and Correlation); Probability (Combinatorics, Random Variables, Probability Distributions for Discrete and Continuous Random Variables; Inferential Statistics (Sampling and Sampling Distributions, Central Limit Theorem, Confidence Intervals, Hypothesis Testing, Inference Concerning Correlation and Regression); Analysis of Variance (Categorical Data Analysis; Chisquare; Contingency Tables; Homogeneity tests; Decision Theory); Process and Quality Control (Control Charts)
Bilingual Math: Bilingual Math tutoring is available in all of the content areas described under Mathematics and Statistics.
Spanish
Spanish tutoring supports introductory to intermediate level subjects in Spanish. For introductory level students, we cover topics of varying levels of difficulty. Students receive help on basic grammar questions, such as number and gender agreement between nouns and adjectives. Assistance with higher level topics such as the subjunctive or preterit/imperfect, "if" clauses and the passive voice are also available.
Writing
TEXAS TUTOR PROFESSIONALStutors review students' writing in the following general academic areas at the secondary through graduate levels, unless otherwise indicated: Composition; Literature; English for Speakers of Other Languages (ESOL); Creative Writing; AP English (high school); English Language Arts (high school); WritingIntensive Courses Across the Curriculum (to include writing projects for classes in the humanities, sciences, and business, and to include thesis and dissertation projects in the humanities and business).
Science
Biology, Introductory Human Anatomy & Physiology, General Chemistry, and Physics
Biology: Chemistry of Life; Evolution; Cells; Molecules; Energy; DNA; Genetics; Biodiversity; Plant Form and Function; Physiology; Ecology. TEXAS TUTOR PROFESSIONALS tutorial support aligns with the APTM Biology course*.*.
Introductory Human Anatomy & Physiology: Cells, Tissues, Organs, and Skeletal, Muscular, Circulatory, Lymphatic, Respiratory, Nervous, Endocrine, Digestive, Urinary and Reproductive systems
General Chemistry: Measurement; Atomic Structure; Chemical Formula & Equations; Chemical Reactions; Thermo Chemistry; Electron Configurations; Bonding; States of Matter; Solubility; Reaction Rates; Acids & Bases; Equilibria; Brief introduction to Nuclear chemistry; Simple Organic Nomenclature & Introduction to functional groups. TEXAS TUTOR PROFESSIONALS tutorial support aligns with the APTM Chemistry course*.
Physics:Kinematics; Forces and Newton's Laws of Motion; Work and Energy; Circular Motion; Momentum; Simple and Harmonic Motion; Fluids; Heat and Temperature; The Ideal Gas Law; Thermodynamics; Electric Forces and Electric Fields; Electric Circuits; Magnetic Forces and Fields; Optics; Special Relativity; Particles and Waves; Nuclear Physics and Radioactivity; Waves and Sound; Electromagnetic Waves. TEXAS TUTOR PROFESSIONALS's tutorial support aligns with the APTM Physics B, APTM Physics C (Mechanics), APTM Physics C (Electricity & Magnetism)* courses.
Business Studies Accounting and Economics
Accounting: T Topics covered in Principles Accounting I and Principles Accounting 2 classes including topics such as Financial Reporting and Accounting Cycle, Operating Activities, Investing and Financing Activities, Foundations of Management Accounting, Capital Investment Decisions, and Planning, Control, and Performance Evaluation. TEXAS TUTOR PROFESSIONALS Tutors are also qualified to provide support to students taking intermediate Managerial and Financial Accounting, Cost Accounting, and Tax Accounting on a prearranged basis.
Economics: Topics covered in Principles Microeconomics and Principles Macroeconomics classes including topics such as Basic Price Theory, The Theory of the Firm, Public Economics, Analysis of the Market Structure, Resource Allocation and Welfare Analysis, National Income Analysis, Monetary System and the Federal Reserve, Business Cycles and Growth and International Trade. TEXAS TUTOR PROFESSIONALS’ tutors are also qualified to provide support to students taking Intermediate Microeconomics and Macroeconomics, Money and Banking, International Trade and Finance, Mathematical Economics and Industrial Organization on a prearranged basis.
Advanced Subject Suite
Organic Chemistry, Introductory Finance, Mathematics Beyond Calculus II, and Advanced Statistics
Atomic Orbital Hybridization, Covalent Bonding, Electro Negativity, Resonance, Lewis AcidBase Theory. Functional Groups and Nomenclature. Structure, Properties, and Reactions of Alkanes, Alkenes, Alkynes, Cycloalkanes. Aromaticity, Properties and Reactions Of Aromatic Hydrocarbons, Structure, Properties and Reactions of Alkyl Halides, Alcohols, Ethers, Epoxides, Aldehydes, Ketones, Amines, Carboxylic Acids and Carboxylic Acid Derivatives, Common Reaction Mechanisms: Free Radical Chain Mechanism, Electrophilic Addition, Nucleophilic Substitution, Elimination, Electrophilic Substitution, Nucleophilic Acyl Addition. Stereochemistry: E/ZIsomers, R/SIsomers, Fischer Projections, Enantiomers, Diastereomers, Optical Activity
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Introductory Finance: Role and Objective of Financial Management; Review of the Four Basic Financial Statements; Analysis of Financial Statements and Financial Performance; The Financial Environment: Markets, Institutions, Interest Rates, and Taxes; Risk And Rates of Return; Time Value of Money; Bonds and their valuation; Stocks and their valuation; Cost of Capital; Capital Budgeting, including Cash Flow Estimation, Decision Criteria, and Risk Analysis; Capital Structure and Leverage; Distributions to Shareholders: Dividends and Share Repurchases/Treasury Stock; Managing Current Assets/Working Capital; Financing Current Assets/Managing Current Liabilities; Financial Planning, Budgeting and Forecasting
Multivariable Calculus (I.E. Calculus III)  Vectors: Dot Product, Cross Product, Lines, Planes; VectorValued Functions: Limits, Derivatives, Curves, Tangents, Curvature; Partial Derivatives: Chain Rule, Directional Derivatives, Gradient, Lagrange Multipliers; Multiple Integrals: Surface Area, Polar & Cylindrical Coordinates, Moments and Center of Gravity; Vector Calculus: Vector Fields, Line Integrals, Green's Theorem, Surface Integrals, Stokes Theorem and Divergence Theorem.
Differential Equations (i.e. Introductory Differential Equations)  Solution of FirstOrder ODE's: Analytical, Graphical and Numerical Methods; Linear ODE's; Undetermined Coefficients and Variation of Parameters; Sinusoidal and Exponential Signals: Oscillations, Damping, Resonance; Complex Numbers and Exponentials; Fourier Series, Periodic Solutions; Delta Functions, Convolution, and Laplace Transform Methods; Matrix and FirstOrder Linear Systems: Eigenvalues and Eigenvectors; and NonLinear Autonomous Systems: Critical Point Analysis and Phase Plane Diagrams.
Linear Algebra (Sophomore Level)  Linear Equations: Row Reduction, Vector and Matrix Equations, Linear Independence, Linear Transformations; Matrix Algebra: Matrix Operations, Inverse, Subspaces, Dimension, Rank; Determinants: Properties of Determinants, Cramer's Rule; Vector Spaces: Subspaces, Null, Column & Kernel Spaces, Bases; Eigenvalues: Eigenvalues & Eigenvectors, Characteristic Equation, Diagonalization, Linear Transformations, Complex Eigenvalues, Discrete Dynamical Systems; Orthogonality: Inner Product, GramSchmidt Process, LeastSquares, Inner Product Spaces, Symmetric Matrices: Quadratic Forms; Optimization: Simplex Method.
Discrete Mathematics Logic and Proofs: Propositional Logic & Equivalences, Proof Methods, and Strategies; Discrete Structures: Sets, Set Operations, Functions, Sequences, and Series; Algorithms: Integers, Primes, GCD , Matrices, Induction, Recursion; Counting: Pigeonhole Principal, Permutations, Combinations, Linear Recurrence Relations, Generating Functions; Discrete Probability: Bayes’ Theorem, Expected Value, Variance; Graphs: Representation, Isomorphism, Connectivity, Euler & Hamiltonian Paths, Trees; Boolean Algebra: Functions, Logic Gates, Minimization of Circuits
Advanced Statistics: Basic Review: Box Plots, Histograms, Bar Charts, Pie Charts, Counting Principles; Descriptive Statistics, Mean, Median, Mode, FiveNumber Summary, Standard Deviation, Range, IQR, Probability Distributions
Estimation Theory: Estimates by Method of Moments and their properties; Maximum Likelihood Estimates & Their Properties, Fisher Information, RaoCramer Inequality, Efficient Estimates; Bayes’ Estimates, Prior and Posterior Distributions, Conjugate Priors; Sufficient and Jointly Sufficient Statistics, NeymanFisher Factorization Criterion, RaoBlackwell Theorem; Estimates for Parameters of Normal Distribution and their properties; ChiSquare, Fisher and Student Distributions; Sampling Distributions; Confidence Intervals (For Sampling Distribution and for parameters of Normal Distribution).
Hypotheses Testing:Testing Simple Hypotheses, Bayes’ Decision Rules, Types of Error, Most Powerful tests, Likelihood Ratio tests, Randomized tests; Composite Hypotheses, Power Function, Monotone Likelihood Ratio and Uniformly Most Powerful tests; TTests and FTests; GoodnessOfFit Tests, ChiSquare Tests, Tests Of Independence And Homogeneity, KolmogorovSmirnov Test, Effect Sizes; Two Independent Samples, Paired Sample TTests; Test for Equality Of Variance sion, leastsquares fit, statistical inference in simple linear regression, confidence intervals, prediction intervals; Classification problem, boosting algorithm; Multiple linear regression; Correlation; Normal probability plots and other assumption checking techniques; Effect Sizes; Logistic regression; Correlation and regression techniques for quantitative and qualitative data analysis; nominal scales, interactions; other related multivariate methods.
Regression And Classification: Simple Linear Regression, LeastSquares Fit, Statistical Inference in Simple Linear Regression, Confidence Intervals, Prediction Intervals; Classification Problem, Boosting Algorithm; Multiple Linear Regression; Correlation; Normal Probability Plots and Other Assumption Checking Techniques; Effect Sizes; Logistic Regression; Correlation and Regression Techniques for Quantitative and Qualitative Data Analysis; Nominal Scales, Interactions; Other Related Multivariate Methods.
ANOVA:Basic OneWay, Repeated Measures, Mixed Model, Factorial, Randomized Block ANOVA, ANCOVA; Effect Sizes; Preplanned Comparisons; PostHoc Analysis/Comparisons: Bonferroni, Tukey, LSD, and Dunnett's. NonParametric Statistics: Kruskal Wallis; Sign Test; Wilcoxin SignedRank; Wilcoxin Rank Sum Test; Other tests.
