Math Tutoring Topics

Trigonometry and Precalculus Tutoring
Polynomial Functions and Zeros Complex Numbers; Rational Functions; Inverse Functions; Solving Inequalities; Introduction to Vectors Properties of Logarithms Exponential and Logarithmic Equations; Exponential and Logarithmic Models; Introduction to Trigonometry and Angles Trigonometric Functions; Right Triangle Definition Trigonometric Functions; Arbitrary Angle Definition Graphs of Sine and Cosine Functions; Graphs of Other Trigonometric Functions; Inverse Trigonometric Functions; Trigonometric Identities; Trigonometric Equations; Sum and Difference Formulas; Law of Sines; Law of Cosines; Trigonometric Form of a Complex Number; Systems of Linear Equations and Matrices Operations with Matrices Inverses and Determinants of Matrices Circles and Parabolas; Ellipses and Hyperbolas; Parametric Equations; Polar Coordinates Sequences and Series; Counting Principles; Elementary Probability.

Calculus Tutoring
Graphs, Models, and Functions; Finding Limits Introduction to Continuity; Infinite Limits and Limits at Infinity; The Derivative and the Tangent Line Problem; Basic Differentiation Rules; Product and Quotient Rules; The Chain Rule; Implicit Differentiation and Related Rates; Extrema on an Interval Increasing and Decreasing Functions Concavity and Points of Inflection; Curve Sketching and Linear Approximations Applications–Optimization Problems Antiderivatives and Basic Integration Rules; The Area Problem and the Definite Integral; The Fundamental Theorem of Calculus Integration by Substitution; Numerical Integration; Natural Logarithmic Function–Differentiation Natural Logarithmic Function; Integration Exponential Function Bases other than e; Inverse Trigonometric Functions; Area of a Region between 2 Curves; Volume–The Disk Method Volume–The Shell Method Applications–Arc Length and Surface Area; Basic Integration Rules; Other Techniques of Integration Differential Equations and Slope; Fields Applications of Differential Equations.

Algebra Tutoring
Order of Operations Percents, Decimals, and Fractions; Variables and Algebraic Expressions; Graphing in 2 Dimensions; Solving and Graphing Linear Equations,Slopes Parallel, and Perpendicular Lines; Word Problems with Linear Equations; Linear Equations for Real-World Data Systems of Linear Equations; Linear Inequalities; Quadratic Polynomials; Factoring Trinomials, Quadratic Equations, Quadratic Formulas; Completing the Square; The Pythagorean Theorem; Polynomials of Higher Degree Operations and Polynomials Rational Expressions Graphing; Rational Functions; Radical Expressions; Solving Radical Equations; Graphing Radical Functions, Sequences and Pattern Recognition.

Algebra II Tutoring
Solving Linear Equations; Solving Equations Involving Absolute Values, Linear Equations and Functions; Functions–Introduction, Examples, Terminology Systems of 2 and 3 Linear Equations; Systems of 3 Linear Equations; Solving Systems of Linear Inequalities; An Introduction to Quadratic Functions; Quadratic Equations–Factoring Quadratic Equations–Square Roots; Completing the Square Using the Quadratic Formula; Solving Quadratic Inequalities; Conic Sections–Parabolas and Hyperbolas Conic Sections–Circles and Ellipses; An Introduction to Polynomials; Graphing Polynomial Functions; Combining Polynomials; Solving Special Polynomial Equations; Rational Roots of Polynomial Equations; The Fundamental Theorem of Algebra Roots and Radical Expressions; Solving Equations Involving Radicals; Graphing Power, Radical, and Root Functions; Rational Functions; Partial Fractions; Exponential Functions; Logarithmic Functions; The Binomial Theorem Permutations and Combinations; Elementary Probability.

Geometry Tutoring
Geometry Angles and Angle Measure; Inductive Reasoning and Deductive Reasoning; Logical Reasons for a Two-Column Proof; Planning Proofs in Geometry Parallel Lines and Planes; Triangles, Polygons and Their Angles; Congruence of Triangles Variations of Congruent Triangles Theorems Related to Congruent Triangles Median, Altitudes, Perpendicular Bisectors and Angle Bisectors; Parallelograms, Rectangles, Rhombuses, and Squares; Trapezoids, Isosceles Trapezoids, and Kites; Inequalities in Geometry Ratio, Proportion, and Similarity; Similar Triangles, Right Triangles and the Pythagorean Theorem; Special Right Triangles; Right-Triangle Trigonometry; Applications of Trigonometry in Geometry Tangents, Arcs, and Chords of a Circle; Angles and Segments of a Circle; Areas of Polygons, Prisms, Pyramids, and Polyhedra Cylinders, Cones, and Spheres.