Finite Math and Applied Calculus Tutorials

Online tutorials

Algebra review

Real numbers:

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Exponents and radicals:
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Multiplying and factoring algebraic expressions:
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Rational expressions :
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Solving polynomial equations:
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Solving miscellaneous equations:
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Logarithms:
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Finite mathematics

Functions from the numerical, algebraic, and graphical viewpoints:
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Functions and models:
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Linear functions and models:
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Linear regression:
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New functions from old: Scaled and Shifted Functions:
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Simple interest:
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Compound interest:
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Annuities, loans, and bonds:
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Systems of two linear equations in two unknowns :
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Using matrices to solve systems of equations :
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Applications of systems of linear equations :
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Matrix addition and scalar multiplication:
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Matrix multiplication:
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Matrix inversion:
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Game theory:
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Input-output models:
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Graphing linear inequalities:
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Solving linear programming problems graphically:
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The simplex method: Solving standard maximization problems:
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The simplex method: Solving general linear programming problems:
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Set operations:
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Cardinality:
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Decision algorithms: The addition and multiplication principles :
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Permutations and combinations:
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Sample spaces and events:
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Relative frequency:
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Probability and probability models:
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Conditional probability and independence:
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Bayes' Theorem and Applications:
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Random variables and distributions:
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Bernoulli trials and binomial random variables:
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Measures of central tendency:
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Measures of dispersion:
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Applied calculus

Functions from the numerical, algebraic, and graphical viewpoints:
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Functions and models:
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Linear functions and models:
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Linear regression:
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New functions from old: Scaled and Shifted Functions:
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Quadratic functions and models:
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Exponential functions and models:
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Logistic functions and models:
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Limits: numerical and graphical viewpoints:
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Limits and continuity:
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Limits and continuity: algebraic viewpoint:
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Average rate of change:
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The derivative: numerical and graphical viewpoints:
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The derivative: algebraic viewpoint:
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Derivatives of powers, sums, and constant multiples:
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A first application: Marginal analysis:
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The product and quotient rules:
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The chain rule:
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Derivatives of logarithmic and exponential functions:
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Maxima and minima:
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Applications of maxima and minima:
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Higher order derivatives: Acceleration and concavity:
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Analyzing graphs:
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Related rates:
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Elasticity :
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The indefinite integral:
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Substitution:
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The definite integral: Numerical and graphical viewpoints:
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The definite integral: Algebraic viewpoint and the fundamental theorem of calculus:
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Integration by parts:
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Area between two curves and applications:
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Trigonometric functions, models, and regression:
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