### MATH TUTORING TOPICS

*"Gary is very knowledgeable, patient, and clear in explaining concepts. He was great preparing my son for exams and finals. And my son completed his math requirement at De Anza College successfully. My son is now attending a 4-year college and he is doing really well. Gary played a big part in his success."*S. Hamill, Cupertino

**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.

Tutoring Math Archbishop Mitty

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Math Tutoring Kings Academy

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Math Tutoring West Valley College