Mathematics Sessions Elementary School ArithmeticNumbers, operations on numbers, relations among numbers, observation of numbers, measurement, etc.Schedule Session Basic GeometryTwo-Dimensional Coordinate System, Angles, Lines, Circles, Polygons, Symmetry, Perimeter, Area, Circumference, etc.Schedule Session Middle School PrealgebraReal number operations, reciprocals, exponents, basic number theory, equations, inequalities, decimals, ratios, proportions, percents, square roots, perimeter, area, circumference, right triangles, divisibility rules, etc.Schedule Session AlgebraCategories of numbers, Signed Numbers, Properties of Operations, Square Roots, Cube Roots, Basic Set Theory, Functions, Linear and Quadratic Functions, Solving Algebraic Equations, Solving System of Equations, Operations on Polynomials, Factoring Polynomials, Rational Polynomial Functions, Inequalities, Graphing Polynomial Functions, Absolute Value Equations, Word Problems, etc.Schedule Session GeometryLines, Rays, Segments, Points, Collinear, Midpoint, Angles, Inductive and Deductive Reasoning, Bisection, Congruence, Properties, Angle Pairs, Planes, Parallel and Perpendicular Lines, Polygons, Proofs, Geometric Inequalities, Quadrilaterals, Similarity, Right Triangles, Polygonal Angle Measurements, Circle Angle Measurement, Area, Volume, etc.Schedule Session High School Algebra 2Properties of Real Numbers, Solving and Graphing Algebraic Equations and Inequalities, Polynomial Functions, Irrational and Complex Numbers, Rational Exponents, Solving Radical and Rational Algebraic Expressions, Graphing, Applications, Remainder and Factor Theorem, Roots and Zeroes, Function Composition, Inverse Functions, Exponential and Logarithmic Functions, Schedule Session TrigonometryAngles and the Unit Circle, Sine, Cosine and other Trigonometric functions, Law of Sines, Law of Cosines, Graphing Trigonometric Functions, Trigonometric Identities, Angle Formulas, Solving Trigonometric Equations, Periodic Functions, Circular Functions, Combined Sinusoids, etc. Schedule Session PrecalculusConic Sections, Sequences, Series, Matrices, Probability, Sets, Powers and Roots, Factorials, Permutations and Combinatorics, Binomial Theorem, Vectors, Polar Coordinates, Complex Numbers In Polar Form, Parametric Equations, Partial Fractions, Spherical Coordinates, Limits, Sigma Notation, Fractals, etc.Schedule Session Calculus 1Definition and Properties of Polynomial, Exponential, Logarithmic, and Trigonometric Functions, Limits, Continuity, Differentiability, Definition of Derivative, Differentiation Methods (Power, Product, Quotient, and Chain Rules, Exponential, Logarithmic, Trigonometric, and Inverse Trigonometric), Equation of Tangent Line To a Curve, Velocity, Acceleration, Derivatives of Piecewise-Defined Functions, Implicit Differentiation, Function Extrema, Nth Derivative, Graphing Derivative Functions, Optimization, Linearization, Rectilinear Motion, Related Rates, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule and Limits, etc. Schedule Session Calculus 2Reimann Sums, Definite Integrals and Area, Fundamental Theorem of Calculus, Calculating Area Between Curves, Determining Volume (Using Cross-Sections, the Disc Method, and the Washer Method), Indefinite Integrals, Techniques of Integration (Power, U-Substitution, Integration by Parts, Partial Fractions, Long Division, Inverse Trigonometry, Completing the Square, Partial Fractions, Trigonometric Substitution), Logistic Equations, Arc Length, Parameteric Equations, Arc Length of Parametric Curves, etc. Schedule Session Calculus 3Review of Limits and Integration Techniques, Improper Integrals, Differential Equations, Sequences, Geometric Series and General Series, Convergence and Divergence of Sequences and Series including Taylor, Maclaurin, and Power Series, etc. Schedule Session StatisticsCategorical and Quantitative Data, Center, Variability, Correlation, Regression Lines, Statistical Questions, Census, Sample, Population, Observational Study, Experiment, Treatment, Control Group, Sampling and Surveys, Bias, Simple Random Sample, Distribution, Margin of Error, Statistic, Parameter, Statistical Significance, Data Ethics, Inference, Probability, Events, Sample Space, Compound Events, Simulation, Law of Large Numbers, Two-Way Tables and Venn Diagrams, Independence, Mutually Exclusivity, Conditional Probability, Tree Diagrams, Bayes Rule, Factorials, Permutations and Combinations, Discrete and Continuous Random Variables, Density Function, Expected Value, Mean, Standard Deviation, Variance, Z-Score, Central Limit Theorem, Chebyshev’s Rule, Skewness, Outliers, Uniform Distribution, Normal Distribution, Gamma-Type Distribution, Exponential Distribution, Weibull Distribution, Beta-Type Distribution, Bernoulli Trial, Binomial Distribution, Multinomial Distribution, Negative Binomial Distribution, Geometric Distribution, Hypergeometric Distribution, Poisson Distribution, Covariance and Correlation, Confidence Intervals, Hypotheses Test, Test Statistic, Significance Level, Type I and Type II Errors, Categorical Data Analysis, Goodnes of Fit, Chi-Square Test For Association, Relationship Between Two Quantitative Variables, etc.Schedule Session College Discrete MathematicsLogic, Proof Methods, Counting Theory (Rule of Sum, Rule of Product, Inclusion-Exclusion Principle, Pidgeon Hole Principal, Permutations, Combinations, Binomial Theorem, Pascal’s Identity), Finite Sets, Infinite Sets, Sequences, Series, Functions, Binary Relations, Divisibility, GCD, LCM, Primes, Fundamental Theorem of Arithmetic, Congruence Modulo, Euclid Algorithm, Chinese Remainder Theorem, Algorithm Analysis (Big Oh, Big Omega, Big Theta), Distribution Functions, Mathematical Induction, Recursion, Recurrence Relations, Generating Functions, etc.Schedule Session
