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Precalculus

Functions, trigonometry, and the gateway to calculus.

Chapters

13 chapters · 13 problem sets

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1 FundamentalsA review of the real numbers, exponents, algebraic and rational expressions, equations and inequalities, the complex numbers, and the coordinate pl… Problems ›

2 FunctionsA function is a rule that describes how one quantity depends on another. Problems ›

3 Polynomial and Rational FunctionsFunctions defined by polynomial expressions are called polynomial functions. Problems ›

4 Exponential and Logarithmic FunctionsExponential functions place the variable in the exponent and model real-world phenomena such as population growth, compound interest, and radioacti… Problems ›

5 Trigonometric Functions: Unit Circle ApproachThis chapter introduces the trigonometric functions by viewing them as functions of real numbers . Problems ›

6 Trigonometric Functions: Right Triangle ApproachAngles are far easier to measure than distances. Problems ›

7 Analytic TrigonometryAn equation is a statement that two mathematical expressions are equal. Problems ›

8 Polar Coordinates and Parametric EquationsA system that locates a point in the plane using a distance and a direction. Problems ›

9 Vectors in Two and Three DimensionsA scalar is a quantity determined completely by its magnitude — for example length, mass, area, temperature, or energy; only one number is needed. Problems ›

10 Systems of Equations and InequalitiesA system of equations is a set of equations that involve the same variables. Problems ›

11 Conic SectionsA parabola is the set of all points in the plane that are equidistant from a fixed point \( F \) (called the focus ) and a fixed line \( l \) (call… Problems ›

12 Sequences and SeriesA sequence is a function \( a \) whose domain is the set of natural numbers. Problems ›

13 Limits: A Preview of Calculus Problems ›

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