# À LA CARTE MATH COURSES

**Algebra I:**

Numbers & Operations; Basics of Algebra; Solving Equations; Inequalities; Ratios & Proportions; The Real Numbers; Monomials & Laws for Exponents; Polynomials; Factoring; Rational Expressions; Linear Equations & Inequalities in Two Variables; and Word Problems

**Algebra II: **

Mathematical Systems; Complex & Imaginary Numbers; Functions; Quadratic Equations & Inequalities; Conic Sections; and Exponential & Logarithmic Functions

**Geometry: **

Symbolic Logic; Introduction to Euclidean Geometry; Reasoning; Parallel Lines; Angles & Polygons; Congruent Triangles; Quadrilaterals; Similarity; Trigonometry of the Right Triangle; Inequalities; Circles; Area & Volume; Coordinate Geometry & Coordinate Proofs; Locus; Transformational Geometry; and Constructions

**Statistics I: **

Measures of Central Tendency; Displaying Data; Sigma Notation; Measures of Dispersion; Variance; Standard Deviation; and Normal Distribution & Bell Curve

**Trigonometry: **

Use of Scientific Calculators; Right Triangle Trigonometry; Angles & Their Measures; Circular Functions; Trigonometric Identities & Equations; Graphs of Trigonometric Functions; Inverse Trigonometric Functions; Applications; Trigonometric Ratios of Any Angle; and Polar Coordinates

**Precalculus: **

Polynomial Functions; Rational Functions; Polynomial & Rational Inequalities; Solving Polynomial Equations; Polar Coordinates; Polar Coordinates & the Complex Plane; Mathematical Induction; and Limits & Continuity

**Probability and Combinatorics: **

Permutations; Combinations; Types of Probability; Evaluating Probabilities; Probability of Mutually Exclusive or Inclusive Events; Outcome Sets; The Counting & Probability Principles; Probability of Independent & Dependent Events; Bernouilli Experiments; The Binomial Theorem; and Conditional Probability

**Calculus I: **

The Derivative; Methods of Differentiation; Graphs of Functions & Their Derivatives; Mean Value Theorem; Rolle’s Theorem; and Applications of the Derivative

**Calculus II: **

The Indefinite Integral; Riemamm Sums; The Definite Integral; Methods of Integration; Applications of the Definite Integral; and Improper Integrals

**Sequences and Series: **

Sigma Notation; Factorial Notation; Finite Sequences; Infinite Sequences; The Fibonacci Sequence; Arithmetic Series; Infinite Series; Maclaurin Series; and Taylor Series

**Graph Theory: **

Notation Basics; Types of Graphs; Creating Additional Graphs; Movement; Distance & Centrality; Characteristics of Graphs; Meshes & Hypercubes; and Directed Graphs & Multigraphs

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