1. Graphs, Capabilities, and Fashions
1.1 Introduction to Graphing
1.2 Capabilities and Graphs
1.3 Linear Capabilities, Slope, and Purposes
1.4 Equations of Strains and Modeling
1.5 Linear Equations, Capabilities, Zeros, and Purposes
1.6 Fixing Linear Inequalities
Built-in Evaluation Matters:
- Graphing Linear Capabilities
- 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 Capabilities
2.1 Growing, Lowering, and Piecewise Capabilities; Purposes
2.2 The Algebra of Capabilities
2.3 The Composition of Capabilities
2.4 Symmetry
2.5 Transformations
2.6 Variation and Purposes
Built-in Evaluation Matters:
- Interval Notation
- The Pythagorean Theorem
- Simplifying Rational expressions
- Addition and subtraction of polynomials
- Simplifying complicated rational expressions
3. Quadratic Capabilities and Equations; Inequalities
3.1 The Complicated Numbers
3.2 Quadratic Equations, Capabilities, Zeros, and Fashions
3.3 Analyzing Graphs of Quadratic Capabilities
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 Capabilities and Rational Capabilities
4.1 Polynomial Capabilities and Fashions
4.2 Graphing Polynomial Capabilities
4.3 Polynomial Division; The The rest Theorem and the Issue Theorem
4.4 Theorems about Zeros of Polynomial Capabilities
4.5 Rational Capabilities
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 Capabilities and Logarithmic Capabilities
5.1 Inverse Capabilities
5.2 Exponential Capabilities and Graphs
5.3 Logarithmic Capabilities and Graphs
5.4 Properties of Logarithmic Capabilities
5.5 Fixing Exponential Equations and Logarithmic Equations
5.6 Purposes and Fashions: Progress and Decay; Compound Curiosity
Built-in Evaluation Matters:
- Integers as exponents
- Discovering logarithms and not using a calculator
6. Methods of Equations and Matrices
6.1 Methods of Equations in Two Variables
6.2 Methods of Equations in Three Variables
6.3 Matrices and Methods of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer’s Rule
6.7 Methods of Inequalities and Linear Programming
6.8 Partial Fractions
Built-in Evaluation Matters:
- Graphing Linear Capabilities
- 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 Methods 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: Mixtures
8.7 The Binomial Theorem
8.8 Chance
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