ACT Math,
ACT Math
ACT Math & Science and SAT Math Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
ACT Math & Science and SAT Math Taught/Tutored – Examples:
* Pre-Algebra: whole numbers, fractions, decimals, and integers; positive integer powers and square roots; ratio, proportion, and percent; multiples and factors; absolute value; one variable, linear equations; probability and counting problems; data interpretation; and mean, median, and mode
* Elementary Algebra: variables, polynomials, factoring, quadratic equations, linear inequalities, integer exponents, and square roots
* Intermediate Algebra: quadratic formula, radical and rational expressions, inequalities, absolute value, sequences, systems of equations, quadratic inequalities, functions, matrices, polynomial roots, and complex numbers
* Coordinate Geometry: number line graphs; graphs of points, lines, polynomials, circles, and other curves; relationships between equations and graphs; slope; properties of parallel and perpendicular lines; distance formula; midpoint formula; transformations; and conics
* Plane Geometry: plane figures (triangles, rectangles, parallelograms, trapezoids, circles); angles; parallel lines; perpendicular lines; translations, reflections, and rotations; 3-D geometry; perimeter, area, and volume; and logical reasoning and proofs
* Trigonometry: right triangle trigonometric ratios; trigonometric functions, identities, and equations; and trigonometric functions modeling
* Data Representation: understand, evaluate, and interpret information presented in graphs, tables, or charts
* Research Summaries: understand, evaluate, and analyze one or more expe
Algebra 1,
Algebra 1
College Algebra, Algebra 2, and Algebra 1 Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
College Algebra, Algebra 2, and Algebra 1 Taught/Tutored – Examples:
* Introduction to Graphing, Functions and Graphs, Linear Functions, Slope and Applications, Equations of Lines and Modeling, Linear Equations, Functions Zeros, and Applications
* Increasing, Decreasing, and Piecewise Functions & Applications, The Algebra of Functions, The Composition of Functions, Symmetry, Transformations
* Classification of Numbers, The Complex Numbers, Quadratic Equations, Functions, Zeros, and Models, Analyzing Graphs of Quadratic Functions, Solving Rational Equations and Radical Equations
* Polynomials Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder Theorem and the Factor Theorem, Theorems about Zeros of Polynomial Functions, Rational Functions
* Inverse Functions, Exponential Functions and Graphs, Logarithmic Functions and Graphs, Properties of Logarithmic Functions, Solving Exponential and Logarithmic Equations, Applications and Models: Growth and Decay; Compound Interest
* Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices and Systems of Equations
* Foundations for Functions, Linear Relations and Functions, Linear Systems, Matrices
* Linear Equations and Functions, Properties and Attributes of Functions
* Quadratic Functions and Factoring, Polynomials and Polynomial Functions
* Rational Functions and Radical Functions, Rational Exponents
* Systems of Equations and Inequalities, Solving Equations and Inequalities
* Exponential Functions and Logarithmic Fun
Algebra 2,
Algebra 2
College Algebra, Algebra 2, and Algebra 1 Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
College Algebra, Algebra 2, and Algebra 1 Taught/Tutored – Examples:
* Introduction to Graphing, Functions and Graphs, Linear Functions, Slope and Applications, Equations of Lines and Modeling, Linear Equations, Functions Zeros, and Applications
* Increasing, Decreasing, and Piecewise Functions & Applications, The Algebra of Functions, The Composition of Functions, Symmetry, Transformations
* Classification of Numbers, The Complex Numbers, Quadratic Equations, Functions, Zeros, and Models, Analyzing Graphs of Quadratic Functions, Solving Rational Equations and Radical Equations
* Polynomials Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder Theorem and the Factor Theorem, Theorems about Zeros of Polynomial Functions, Rational Functions
* Inverse Functions, Exponential Functions and Graphs, Logarithmic Functions and Graphs, Properties of Logarithmic Functions, Solving Exponential and Logarithmic Equations, Applications and Models: Growth and Decay; Compound Interest
* Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices and Systems of Equations
* Foundations for Functions, Linear Relations and Functions, Linear Systems, Matrices
* Linear Equations and Functions, Properties and Attributes of Functions
* Quadratic Functions and Factoring, Polynomials and Polynomial Functions
* Rational Functions and Radical Functions, Rational Exponents
* Systems of Equations and Inequalities, Solving Equations and Inequalities
* Exponential Functions and Logarithmic Fun
Calculus,
Calculus
Calculus Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
Engineering Calculus and Business Calculus – Taught/Tutored – Examples:
* The Limit of a Function, Calculating Limits, Continuity – Continuous Functions, Limits at Infinity
* Derivatives and Rates of Change, The Derivative of a Function, Basic Differentiation Formulas
* Product & Quotient Rule, Chain Rule & Power Rule, Using Derivative Formulas, Higher Order Derivatives, Applications of Derivatives
* Derivatives and the Shapes of Graphs: Curve Sketching – Relative Max & Min, Points of Inflection, Concavity
* Optimization Applications, Business & Economics Applications such as: Maximizing Profit & Minimizing Cost
* Derivatives of Logarithmic and Exponential Functions, Inverse Trigonometric Functions, Hyperbolic Functions, Indeterminate Forms and L’Hospitals Rule, The Mean Value Theorem
* Implicit Differentiation, Related Rates and its Applications, Linear Approximations and Differentials
* Indefinite Integrals (Anti-Derivatives), Integrals Power Rule, Integrals of Logarithmic & Exponential, Applications of Integrals
* The Definite Integral – Fundamental Theorem of Calculus, Valuating the Definite Integral, The Substitution Rule, Area Between two Curves, Applications of Definite Integral
* Integration by Parts, Trigonometric Integrals and Substitutions, Partial Fractions, Integration with Tables, Approximate Integration, Improper Integrals
* Areas Between Curves, Volumes by Disk & Washer Method, Volumes by Cylindrical Shells Method, Arc Length, Area of a Surface of Revolution, Applications to Physics & Engineering
* Sequences, Series, The Integral and Compari
Geometry,
Geometry
Geometry and Trigonometry Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
Geometry and Trigonometry Taught/Tutored – Examples:
* Patterns and Inductive Reasoning, Drawing nets and other models, Points, Lines and Planes, Segments, Rays, Parallel lines and Planes, Measuring Segments, Measuring Angles, Basic Construction, Coordinate Plane, Perimeter, Circumference, and Area
* Conditional Statements, Bi-conditional and Definitions, Deductive Reasoning, Reasoning in Algebra, Proving Angles Congruent
* Properties of Parallel Lines, Proving Lines Parallel, Parallel and Perpendicular Lines, Parallel Lines and the Triangle Angle Sum Theorem, The Polygon Angle Sum Theorem, Lines in the Coordinate Plane, Slope of Parallel and Perpendicular Lines, Constructing Parallel and Perpendicular lines
* Congruent Figures, Triangle Congruency by SSS and SAS, Triangle Congruency by ASA and AAS, Using Congruent Triangles CPCTC, Isosceles and Equilateral Triangles, Congruency in Right Triangles, Using CPCTC
* Mid-segment of Triangles, Bisector of Triangles, Concurrent Lines, Medians and Altitudes, Inverse, Contrapositive and Indirect Reasoning, Inequalities in Triangles
* Classifying Quadrilaterals, Properties of Parallelograms, Proving that a Quadrilateral is a Parallelogram, Special Parallelograms, Trapezoids and Kites, Placing Figures in the Coordinate Plane, Proof Using Coordinate Geometry
* Ratios and Proportions, Similar Polygons, Proving Triangles Similar, Similarity in Right Triangles, Proportions in Triangles
* The Pythagorean Theorem and its converse, Special Right Triangles, The Tangent Ratio, Sine and Cosine Ratios, Angles of
Prealgebra,
Prealgebra
Intermediate Algebra, Elementary Math, Pre-Algebra Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
Intermediate Algebra, Elementary Math, Pre-Algebra Taught/Tutored – Examples:
* Linear Inequalities, Set Operations & Compound Inequalities, Absolute Value Equations & Inequalities
* Linear Equations, Linear Inequalities in Two Variables
* Greatest Common Factor (GCF) and Grouping, Factoring Trinomials, Special Factoring
* Multiply and Divide Rational Expressions, Add and Subtract Rational Expressions, Complex Fractions, Rational Equations
* Radical Expressions & Rational Expressions, Simplify/Add/Subtract Radical Expressions, Multiply/Divide Radical Expressions, Radical Equations, Complex numbers
* Square Root Property, Quadratic Formula, Equations in Quadratic Form, Applications, Graphing, Parabolas and Their Applications.
* Intermediate Algebra: quadratic formula, radical and rational expressions, inequalities, absolute value, sequences, systems of equations, quadratic inequalities, functions, matrices, polynomial roots, and complex numbers
* Elementary Algebra: variables, polynomials, factoring, quadratic equations, linear inequalities, integer exponents, and square roots
* Pre-Algebra: whole numbers, fractions, decimals, and integers; positive integer powers and square roots; ratio, proportion, and percent; multiples and factors; absolute value; one variable, linear equations; probability and counting problems; data interpretation; and mean, median, and mode
* Coordinate Geometry: number line graphs; graphs of points, lines, polynomials, circles, and other curves; relationships between equations and graphs; slope
Precalculus,
Precalculus
Pre-Calculus Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
Engineering Pre-Calculus – Taught/Tutored – Examples:
* Partial Fraction Decomposition, Polynomial Functions and Models, The Graph of a Rational Function
* Exponential Functions, Logarithmic Functions, Properties of Logarithms, Logarithmic and Exponential Functions, Financial Models, Exponential Growth and Decay Models, Newton’s Law, Logistic Growth and Decay Models
* The Inverse Sine, Cosine and Tangent Functions, The Inverse Trigonometric Functions, Sum and Difference Formulas, Double-Angle and Half-Angle Formulas, Sum-to-Product and Product-to-Sum Formulas
* Polar Coordinates, Polar Equations and Graphs, Vectors, The Dot Product, Vectors in Space, The Cross Product
* Conics, The Parabola, The Ellipse, The Hyperbola, Rotation of Axes, General Form of a Conic, Polar Equations of Conics, Plane Curves and Parametric Equations
* Sequences, Arithmetic Sequences, Geometric Sequences, Geometric Series, Mathematical Induction, Binomial Theorem
Also, please check my: Detailed Solutions Posts in all mathematics subjects at Wyzant Ask An Expert/Wyzant Examples of Expertise.
Trigonometry
Trigonometry
Trigonometry and Geometry Qualification Summary: Professor of Engineering and Business Mathematics, and Software Engineer. Higher Education: 1) MBA (GPA: 4.0); 2) Master of Science in Engineering Mathematics; 3) Bachelor of Science in Electrical Engineering.
Courses Taught/Tutored: Calculus I II & III, Business Calculus, Trigonometry, Pre-Calculus, College Algebra, Differential Equations, Geometry, Electrical Engineering Circuit Analysis, ACT & SAT Math, Development Math.
Trigonometry and Geometry Taught/Tutored – Examples:
* Angles, Angle Relationships and Similar Triangles, Trigonometric Functions, Using the Definitions of the Trigonometric Functions,
* Trigonometric Functions of Acute Angles, Trigonometric Functions of Non-Acute Angles, Finding Trigonometric Functions Values Using a Calculator, Solving Right Triangles, Further Applications of Right Triangles
* Radian Measure, Applications of Radian Measure, The Unit Circle and Circular Functions, Linear and Angular Speed
* Graphs of the Sine and Cosine Functions, Translations of the Graphs of the Sine and Cosine Functions, Graphs of the Tangent and Cotangent Functions, Graphs of the Secant and Cosecant Functions
* Fundamental Identities, Verifying Trigonometric Identities, Sum and Difference Identities for Cosine, Sum and Difference Identities for Sine and Tangent, Double-Angle Identities, Half-Angle Identities
* Inverse Circular Functions, Solving Trigonometric Equations I, Solving Trigonometric Equations II
* Oblique Triangles and the Law of Sines, The Ambiguous case of the Law of Sines, The Law of Cosines, Geometrically Defined Vectors and Applications, Algebraically Defined Vectors and the Dot Product
* Complex Numbers, Trigonometric (Polar) Form of Complex Numbers, The Product and Quotient Theorems, De Moivre’s Theorem; Powers and Roots of Complex Numbers
* Patterns and Inductive Reasoning, Drawing nets and other models, Points, Lines and Planes, Segments, Rays, Parallel lines and Planes, Measuring Segments, Measuring Angles, Basic Construction, Coor