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Master essential pre-calculus concepts through this comprehensive 9-hour video course covering quadratic equations, polynomial functions, trigonometry fundamentals, and function transformations. Learn to build and apply the quadratic formula, solve various types of equations including those with square roots and radicals, and work with complex numbers through addition, subtraction, multiplication, and division. Explore polynomial operations including long division, factoring, and finding zeros using both analytical methods and calculator techniques with TI-83/84 and TI-89 calculators. Study function properties such as domain, range, continuity, symmetry, and whether functions are even, odd, or one-to-one, while learning to identify increasing, decreasing, and constant intervals from graphs. Develop skills in graphing various function types including linear, quadratic, polynomial, radical, and rational functions, and master function transformations including shifts, reflections, stretching, and shrinking. Delve into trigonometry basics with the unit circle, Pythagorean identities, and the six basic trigonometric functions, plus angle vocabulary and degree-minute-second conversions. Practice solving inequalities involving linear, quadratic, polynomial, rational, and radical expressions, and work with variation problems including direct, inverse, joint, and combined variations. Apply mathematical concepts to real-world scenarios through word problems involving maximums, minimums, and practical applications, while also learning advanced topics like partial fraction decomposition and matrix solutions for systems of equations.
