1. Graphs, Features, and Fashions
1.1 Introduction to Graphing
1.2 Features and Graphs
1.3 Linear Features, Slope, and Functions
1.4 Equations of Strains and Modeling
1.5 Linear Equations, Features, Zeros, and Functions
1.6 Fixing Linear Inequalities
Built-in Evaluation Matters:
- Graphing Linear Features
- Operations on the Actual Numbers
- Order of operations
- Factoring trinomials: ax2 + bx + c
- Factoring trinomial squares and variations of squares
- The precept of zero merchandise
- Interval notation
- Fixing linear equations
- Fixing linear inequalities
2. Extra on Features
2.1 Growing, Lowering, and Piecewise Features; Functions
2.2 The Algebra of Features
2.3 The Composition of Features
2.4 Symmetry
2.5 Transformations
2.6 Variation and Functions
Built-in Evaluation Matters:
- Interval Notation
- The Pythagorean Theorem
- Simplifying Rational expressions
- Addition and subtraction of polynomials
- Simplifying complicated rational expressions
3. Quadratic Features and Equations; Inequalities
3.1 The Advanced Numbers
3.2 Quadratic Equations, Features, Zeros, and Fashions
3.3 Analyzing Graphs of Quadratic Features
3.4 Fixing Rational Equations and Radical Equations
3.5 Fixing Equations and Inequalities with Absolute Worth
Built-in Evaluation Matters:
- Multiplying radical expressions
- Multiplying binomials
- Simplifying radical expressions
- Finishing the sq.
- Factoring trinomials: ax2 + bx + c
- Factoring trinomial squares and variations of squares
- The precept of zero merchandise
- Discovering the LCM of algebraic expressions
- The precept of powers
4. Polynomial Features and Rational Features
4.1 Polynomial Features and Fashions
4.2 Graphing Polynomial Features
4.3 Polynomial Division; The The rest Theorem and the Issue Theorem
4.4 Theorems about Zeros of Polynomial Features
4.5 Rational Features
4.6 Polynomial Inequalities and Rational Inequalities
Built-in Evaluation Matters:
- Introduction to polynomials
- Factoring by grouping
- Operations on the Actual Numbers
- Interval Notation
5. Exponential Features and Logarithmic Features
5.1 Inverse Features
5.2 Exponential Features and Graphs
5.3 Logarithmic Features and Graphs
5.4 Properties of Logarithmic Features
5.5 Fixing Exponential Equations and Logarithmic Equations
5.6 Functions and Fashions: Progress and Decay; Compound Curiosity
Built-in Evaluation Matters:
- Integers as exponents
- Discovering logarithms with out a calculator
6. Techniques of Equations and Matrices
6.1 Techniques of Equations in Two Variables
6.2 Techniques of Equations in Three Variables
6.3 Matrices and Techniques of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer’s Rule
6.7 Techniques of Inequalities and Linear Programming
6.8 Partial Fractions
Built-in Evaluation Matters:
- Graphing Linear Features
- Operations on the Actual Numbers
7. Conic Sections
7.1 The Parabola
7.2 The Circle and the Ellipse
7.3 The Hyperbola
7.4 Nonlinear Techniques of Equations and Inequalities
Built-in Evaluation Matter:
8. Sequences, Collection, and Combinatorics
8.1 Sequences and Collection
8.2 Arithmetic Sequences and Collection
8.3 Geometric Sequences and Collection
8.4 Mathematical Induction
8.5 Combinatorics: Permutations
8.6 Combinatorics: Combos
8.7 The Binomial Theorem
8.8 Likelihood
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