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Precalculus - MATH 120

Covers functions, trigonometry, analytic geometry, exponentials, logarithms, sequences, and mathematical modeling.

Study Tools

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Study guides

12

01 Functions and Their Graphs

A progressive guide to representing, analyzing, transforming, composing, and inverting functions using formulas, graphs, domains, and ranges.
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06 Trigonometric Identities and Equations

A progressive guide to verifying trigonometric identities, applying angle formulas, and solving trigonometric equations with exact values and complete solution sets.
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09 Conic Sections

A structured guide to identifying, converting, graphing, and comparing parabolas, ellipses, and hyperbolas using standard equations and geometric properties.
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12 Integrated Applications

A structured guide to choosing, connecting, and checking mathematical models in cumulative applications involving functions, geometry, trigonometry, sequences, exponentials, logarithms, and data.
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10 Sequences and Series

A structured guide to identifying, representing, modeling, and summing arithmetic and geometric sequences and series.
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08 Analytic Geometry

A structured guide to using coordinates, formulas, and algebra to analyze points, lines, circles, and geometric relationships in the plane.
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04 Logarithmic Functions

A structured guide to logarithmic functions, their inverse relationship with exponential functions, key properties, equation-solving methods, inequalities, and applications to growth and decay.
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11 Mathematical Modeling

A structured guide to selecting, fitting, interpreting, validating, and responsibly applying mathematical models to real-world data.
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07 Applications of Trigonometry

A practical guide to solving right and non-right triangle problems, choosing trigonometric methods, finding triangle areas, and checking mathematical models.
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05 Trigonometric Functions

A progressive guide to measuring angles, using the unit circle, interpreting trigonometric graphs, applying identities, evaluating inverse functions, and solving basic trigonometric equations.
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03 Exponential Functions

A structured guide to modeling growth and decay, compound interest, logarithmic solutions, and the assumptions behind exponential models.
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02 Polynomial and Rational Functions

A structured guide to recognizing, solving, and graphing polynomial and rational functions using zeros, factors, end behavior, asymptotes, equations, and inequalities.
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Quizzes

12

09 Conic Sections

A 14-question quiz on identifying, analyzing, converting, and graphing conic sections, including parabolas, ellipses, hyperbolas, and rotated conics.
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01 Functions and Their Graphs

A medium-difficulty quiz on functions and their graphs, including domains, notation, transformations, composition, intercepts, and inverse functions.
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04 Logarithmic Functions

A medium-difficulty quiz on logarithmic functions, including inverse relationships, domains, logarithm properties, equations, inequalities, exponential models, and applications.
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11 Mathematical Modeling

A medium-difficulty quiz on mathematical modeling, including model selection, parameter interpretation, residual analysis, validation, and responsible prediction.
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07 Applications of Trigonometry

A medium-difficulty quiz on applying right-triangle trigonometry, the Laws of Sines and Cosines, triangle-area formulas, and systematic modeling strategies.
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06 Trigonometric Identities and Equations

A medium-difficulty quiz on fundamental trigonometric identities, sum and difference formulas, double-angle and half-angle formulas, and solving trigonometric equations.
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12 Integrated Applications

A 14-question quiz on selecting mathematical models, interpreting functions, applying analytic geometry and trigonometry, analyzing exponential change, and checking solutions in context.
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05 Trigonometric Functions

A 14-question quiz on angle measurement, the unit circle, trigonometric graphs, identities, inverse functions, and basic trigonometric equations. Questions progress from foundational applications to more involved reasoning.
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10 Sequences and Series

A medium-difficulty quiz on sequences, series, recursive and explicit formulas, arithmetic and geometric models, summation notation, and finite and infinite sums. Questions are ordered from more direct applications to more involved modeling and reasoning.
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08 Analytic Geometry

A medium-difficulty quiz on analytic geometry covering coordinate quadrants, distance and midpoint methods, slope, line relationships, intersections, circles, and coordinate proofs.
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02 Polynomial and Rational Functions

A medium-difficulty quiz on polynomial and rational functions, including zeros, discriminants, end behavior, asymptotes, restrictions, and sign analysis.
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03 Exponential Functions

A medium-difficulty assessment of exponential functions, growth and decay models, continuous change, compound interest, logarithmic equations, and model interpretation.
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Flashcards

12

06 Trigonometric Identities and Equations

A focused review of fundamental trigonometric identities, angle formulas, half-angle relationships, and methods for solving trigonometric equations.
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08 Analytic Geometry

A focused review of Cartesian coordinates, distance, midpoints, slopes, lines, circles, intersections, and coordinate tests for geometric relationships.
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04 Logarithmic Functions

Review the definitions, properties, graphs, equations, inequalities, models, and applications of logarithmic functions.
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07 Applications of Trigonometry

A focused review of right-triangle applications, non-right-triangle laws, triangle areas, and reliable trigonometric modeling practices.
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09 Conic Sections

Review the defining properties, standard forms, graphing features, and classification rules for parabolas, ellipses, and hyperbolas.
Flashcards · Updated

12 Integrated Applications

A focused review of choosing, constructing, solving, checking, and interpreting mathematical models involving functions, geometry, trigonometry, sequences, exponentials, logarithms, and data.
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05 Trigonometric Functions

A focused set of 14 flashcards covering angle measurement, the unit circle, trigonometric graphs, identities, inverse functions, and basic equations.
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03 Exponential Functions

A focused review of exponential functions, growth and decay models, compound interest, logarithmic solution methods, and modeling limitations.
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11 Mathematical Modeling

A focused flashcard set on choosing, fitting, interpreting, validating, and responsibly applying mathematical models.
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10 Sequences and Series

Review the definitions, formulas, notation, sums, convergence conditions, and real-world models used for sequences and series.
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01 Functions and Their Graphs

Review the definitions, representations, domains, graph tests, transformations, compositions, and inverse functions that characterize functions and their graphs.
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02 Polynomial and Rational Functions

Review the defining features, zeros, graph behavior, asymptotes, equations, and inequalities of polynomial and rational functions.
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