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College Algebra

College Algebra

College Algebra is a fundamental course that serves as a bridge between high school mathematics and more advanced college-level studies. It focuses on the exploration of algebraic concepts, including functions, equations, inequalities, polynomials, rational expressions, and systems of equations. Students develop skills in problem-solving and critical thinking, often utilizing graphing techniques and technology to analyze data. Emphasis is placed on understanding functions—linear, quadratic, exponential, and logarithmic—as they relate to real-world applications. Mastery of these concepts is essential for success in calculus and other higher mathematics courses, making College Algebra a cornerstone of the mathematical curriculum in higher education.
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Linear equations and inequalities
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Graphs and forms of linear equations
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Functions
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Quadratics: Multiplying and factoring
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Quadratic functions and equations
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Complex numbers
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Exponents and radicals
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Rational expressions and equations
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Relating algebra and geometry
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Polynomial arithmetic
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Advanced function types
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Transformations of functions
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Rational exponents and radicals
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Logarithms