Math Tutoring

Algebra, Advanced Math, and Statistics Tutoring

Taking a math class at UNT Dallas but can't seem to make it to the Learning Commons during times that work with your schedule? Smarthinking offers online tutoring for students in the following areas:

Basic math
Algebra
Liberal Arts math
Geometry
Trigonometry
Calculus (single variable)
Statistics

Students can also receive help in the following areas by scheduling appointments or sessions with Smarthinking tutors:

Differential equations
Multivariable calculus
Discrete math
Linear algebra
Advanced statistics

Detailed list of business topics covered

By scheduling a session (appointment) with expert tutors, students can get help in with various topics. The chart below provides a detailed overview of the topics with which Smarthinking tutors are qualified to assist:

Topics/Subjects	Areas Covered
Basic Math	Arithmetic with Decimals, Fractions or Mixed Numbers Arithmetic with Whole or Signed Numbers Bases, other than base 10 Basic Problem Solving Dimensional Analysis, Units of Measure Exponents and Radicals Logic: Negations conjunction disjunction conditionals bi-conditionals truth tables equivalent statements logical arguments Order of Operations Percentages and Percent Change Ration and Proportion Reading and Interpreting Charts and Graphs Rounding and Estimating Scientific Notation Sets: notation operations Venn diagrams survey problems The Real Number System
Liberal Arts Math	Apportionment: quota rule and paradoxes Hamilton’s method Jefferson’s method Adam’s method Huntington-Hill method Averages: mean median mode frequency distributions percentile rank Basic Probability: basic theoretical probability experimental probability odds Brief Survey of Graph Theory: introductory Euler and Hamilton circuits and paths Fleury’s algorithm nearest-neighbor and repetitive nearest neighbor algorithms cheapest link algorithm minimal spanning trees Kruskal’s algorithm Consumer Mathematics: simple interest compound interest ordinary annuities mortgages amortization average daily balance Fair Division: divider-chooser lone-divider lone-chooser last diminisher sealed bids markers Introductory Counting: fundamental counting principle permutations combinations Introductory Scheduling: digraphs priority lists Voting: voting methods fairness criteria weighted voting
Algebra	Algebraic Expressions: simplifying combining like terms properties exponents radicals factoring Binomial Theorem Complex Numbers Conic Sections: circles parabolas ellipses hyperbolas Elementary Sequences and Series: terms of sequences arithmetic sequences geometric sequences and series finite series Exponentials and Logarithms: graphs change of base formula logarithm rules equations exponential growth and decay logistic equations Functions: function notation domain/range intercepts properties average rate of change piecewise defined functions graphs transformations algebra of functions inverses variation applications Graphs/Coordinate Systems: plotting distance formula midpoint formula domain and range symmetry intercepts one-to-one Inequalities: linear absolute value polynomial rational graphs Linear Programming: geometric approach Lines: slopes equations graph applications Matrices: matrix algebra Gaussian elimination inverses determinants Cramer’s Rule Polynomials: roots and multiplicities graphs long and synthetic division fundamental theorem of algebra Quadratics: equations vertex properties applications Rational Expressions/Functions: asymptotes intercepts graphs partial fractions Solving Equations: linear quadratic quadratic in form polynomial rational radical absolute value applications Systems of Equations: systems of linear equations systems of nonlinear equations Systems of Inequalities: systems of linear inequalities systems of nonlinear inequalities
Linear Algebra **By scheduled sessions/appointment only; no drop-in tutoring	Determinants: properties, Cramer’s Rule Eigenvalues and Eigenvectors: characteristic equation diagonalization complex eigenvalues positive definite matrices quadratic forms discrete dynamical systems Linear Transformations: image, kernel Matrices and systems of linear equations: solving systems row operations echelon form homogeneous systems types of matrices rank of a matrix Matrix Algebra: matrix operations inverses matrix equations Optimization: graphical method of linear programming simplex method of linear programming Orthogonality: dot product and inner product spaces Orthogonality Gram-Schmidt process least squares inner product spaces Vectors and Vector Spaces: vector equations subspaces null space row and column spaces bases dimension
Geometry	Basic Definitions: points, lines, rays, angles Congruent Triangles Circles, Polygons, Quadrilaterals Coordinate Geometry: midpoint, slope, distance formula Perimeters, Areas, Volumes and Applications Planes and Parallel Lines Similar Figures Theorems, Postulates, and Proofs Triangles: angles, types, measurements
Continuity (definition, intermediate value theorem) **By scheduled sessions/appointment only; no drop-in tutoring	Derivatives: definition product and quotient rules chain rule implicit differentiation logarithmic and exponential functions Hyperbolic Functions: Definitions Properties Derivatives Integrals: definition/Riemann sums definite and indefinite integrals fundamental theorem of calculus Integration Techniques: antiderivatives trigonometric integrals substitution trigonometric substitution by parts partial fractions approximate integrals improper integrals Limits: definition limit theorems graphs trigonometric limits L’Hospital’s Rule Parametric Equations Polar Coordinates Sequences and Series: convergence of sequences absolute and conditional convergence of series common series integral test comparison tests alternating series ratio test root test power series Taylor series
Calculus (single variable)	Applications of Derivatives: rates of change marginal cost/revenue/profit velocity and acceleration analysis of graphs mean value theorem max/min values optimization related rates Newton’s method Applications of Integrals: areas between curves length of curves work volume surface area average value
CalculusII and III multivariable) **By scheduled sessions/appointment only; no drop-in tutoring	Functions of Several Variables: Planes Surfaces graphs and level curves limits continuity partial derivatives chain rules directional derivatives gradient tangent planes linear approximation extrema Lagrange multipliers Multiple Integration: iterated integrals area in the plane volume change of variables mass inertia surface area Jacobians Vector Calculus: vector fields line integrals conservative vector fields Green’s theorem Divergence Curl surface integrals Stokes’ Theorem Vectors and Vector-Valued Functions: dot product cross product lines curves in space differentiation integration motion in space lengths of curves curvature normal vectors
Discrete Math **By scheduled sessions/appointment only; no drop-in tutoring	Boolean Algebra: Functions logic gates minimization of circuits Counting: pigeonhole principle permutations combinations Discrete Probability: Bayes’ Theorem, expected value Functions: Injections Surjections Inverses composition Graphs: Representation Isomorphism Connectivity Euler & Hamiltonian paths trees Integers and Numbers: division algorithm primes Euclidean algorithm gcd integers mod n bases other than 10 Logic: propositional logic rules of inference equivalences qualifiers Order Relations: partially ordered sets lattices Boolean algebras extreme elements and bounds Proofs: methods and strategies Relations: Representations Properties linear recurrence relations equivalence relations Sets: set operations Venn diagrams families of sets Sequences and Series: explicitly defined, recursion
Differential Equations **By scheduled sessions/appointment only; no drop-in tutoring	Higher-Order Differential Equations: initial-value problems boundary-value problems homogeneous equations with constant coefficients non-homogeneous equations reduction of order undetermined coefficients variation of parameters Cauchy-Euler Equation solving systems of linear equations by elimination nonlinear differential equations modeling The Laplace Transform: definition of the Laplace transform inverse transforms, transforms of derivatives translations on the saxis translations on the taxis derivatives of a transform transforms of integrals transform of a periodic function Dirac delta function systems of linear equations Numerical Solutions of Ordinary Differential Equations: Euler methods and error analysis Runge Kutta methods multistep methods higher-order equations and systems second-order boundary value problems Series Solutions of Linear Equations: solutions about ordinary points solutions about singular points Solution of First-Order Differential Equations: direction fields separable equations linear equations exact equations solutions by substitutions Riccati equation numerical methods modeling Systems of Linear First-Order Differential Equations: homogeneous linear systems (distinct, repeated or complex eigenvalues) nonhomogeneous linear systems (solved via undetermined coefficients or variation of parameters) matrix exponential
Trigonometry **By scheduled sessions/appointment only; no drop-in tutoring	Angles and their Measure: degrees minutes seconds radians linear and angular speed arc length area of sector Area of a Triangle Basics of Simple Harmonic Motion Complex Numbers: polar form DeMoivre’s Theorem Conic Sections: circles parabolas ellipses hyperbolas Formulas: sum and difference formula double angle formula half angle formulas sum-to-product formulas product-to-sum formulas Graphs of Trigonometric Functions: domain range amplitude period phase shift curve fitting Inverse Trig Functions Law of Sines, Law of Cosines Polar Coordinates: coordinates, polar equations Trigonometric Equations Trigonometric Functions: basic properties right triangle trigonometry co-terminal angles reference angles unit circle trigonometry Trigonometric Identities: common identities, verifying identities Vectors: rectangular and polar form arithmetic unit vectors angle between vectors
Statistics	Descriptive Statistics: measures of central tendency measures of dispersion graphical data display summary statistics Inferential Statistics: confidential intervals (means, proportions, variance, standard deviation) hypothesis testing (z tests, t tests, F tests, chi squared tests, one-way ANOVA) sample size estimation Process and Quality Control: control charts Probability: counting fundamental principles of probability discrete and continuous probability distributions normal probabilities central limit theorem Relationships between Variables: linear correlation simple linear regression Understanding Data: variable types populations and samples sampling techniques
Advanced Statistics **By scheduled sessions/appointment only; no drop-in tutoring	Analysis of Variance: variance components factorial designs complete, incomplete, and randomized block designs response surfaces split-plot and repeated measures designs mixed models ANCOVA experimental design effect sizes preplanned comparisons post hoc tests power analysis Common Families of Distributions: discrete and continuous distributions transformations and expectations expected values moments and moment generating functions location and scale families inequalities and identities joint and marginal distributions bi-variate transformations hierarchical models multivariate distributions Hypothesis Testing: types of error most powerful tests likelihood ratio tests composite hypotheses power analysis basis of T-tests and F-tests, chi-squared tests for goodness of fit or independence f-test for equality of variance Multivariate Statistics: multivariate regression MANOVA dimension reduction techniques PCA, MDS, factor analysis, canonical correlation, discriminant functions, clustering techniques) Nonparametric Statistics: Kruskal Wallis Mann-Whitney sign test Wilcoxon signed-rank Wilcoxon rank sum test spearman rank correlation Kendall’s tau Bootstrapping bayess decision rules Probability Theory: set theory conditional probability and independence theorems random variables density and mass functions point estimation interval estimation sufficient statistics likelihood and likelihood ratio tests evaluation estimators Regression: least-squares and maximum likelihood methods statistical inference in regression confidence and prediction intervals classification problems boosting algorithm multiple linear regression model selection techniques model checking logistic regression nonlinear methods dummy variables modern regression techniques time series Sampling Theory and Practice: sampling distributions types of random samples sample design sample analysis variance estimation sampling from the normal distribution generating a random sample imputation and multiple imputation