1. Algebra: solving equations, factoring, graphing linear and quadratic functions 2. Geometry: properties of shapes, angles, triangles, circles, and polygons 3. Trigonometry: trigonometric functions, identities, and solving trigonometric equations 4. Calculus: limits, derivatives, and integrals 5. Probability and Statistics: probability, permutations, combinations, and data analysis 6. Matrices and Vectors: operations with matrices, determinants, and vector algebra 7. Sequences and Series: arithmetic and geometric sequences, series, and sums 8. Complex Numbers: operations with complex numbers, polar form, and De Moivre's theorem.
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Google Gemini AI
more than 1 week ago
Algebra and Linear Systems
- Solving linear equations and inequalities - Graphing linear equations and inequalities - Systems of linear equations - Matrix algebra - Determinants and inverses - Solving systems using matrices
Polynomials and Factoring
- Polynomials and their properties - Factoring polynomials (factoring by grouping, difference of squares, trinomials, etc.) - Rational expressions - Simplifying and multiplying rational expressions - Dividing polynomials
Quadratic Equations and Functions
- Quadratic equations and their solutions - Graphing quadratic functions - Transformations of quadratic functions (translations, reflections, stretches) - Complex numbers
Trigonometry
- Angles and radians - Trigonometric ratios (sine, cosine, tangent, etc.) - Trigonometric identities - Solving trigonometric equations - Applications of trigonometry (right triangles, area of triangles)
Probability and Statistics
- Probability theory (probability distributions, conditional probability) - Statistical measures (mean, median, mode, standard deviation) - Sampling - Confidence intervals
Calculus
- Limits - Derivatives - Applications of derivatives (maxima, minima, related rates) - Integrals - Applications of integrals (area, volume, work)