Pre-Calculus
Pre-Calculus is the final preparation before calculus, bringing together everything you have learned and introducing the tools you will need for the journey ahead. You will deepen your understanding of functions, explore exponential and logarithmic relationships, master trigonometry, and discover the power of vectors and sequences. Think of this course as building a launchpad: by the time you finish, the leap to calculus will feel like a natural next step rather than a terrifying jump into the unknown.
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Functions Revisited→
Deepen your understanding of what functions really are
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Transformations of Functions→
Learn to shift, stretch, and flip any function
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Polynomial Functions→
Explore the behavior of higher-degree polynomials
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Rational Functions→
Master functions with polynomials in the denominator
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Exponential Functions→
Understand explosive growth and rapid decay
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Logarithmic Functions→
Unlock the inverse of exponential functions
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Exponential and Logarithmic Equations→
Solve equations involving exponents and logs
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Angles and the Unit Circle→
Build the foundation for trigonometry
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Trigonometric Functions→
Define sine, cosine, and their companions
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Graphs of Trigonometric Functions→
Visualize sine, cosine, and their transformations
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Trigonometric Identities→
Master the fundamental equations that are always true
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Solving Trigonometric Equations→
Find all angles that satisfy trigonometric equations
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Inverse Trigonometric Functions→
Work backwards from ratios to angles
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Law of Sines and Law of Cosines→
Solve any triangle, not just right triangles
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Vectors→
Represent quantities with both magnitude and direction
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Sequences and Series→
Explore patterns in lists of numbers and their sums