Resources

Resources

Precalculus

Exponential and logarithmic functions

Change of base formula Product property of logarithms Evaluate logarithms Quotient property of logarithms Solve exponential equations using logarithms Power property of logarithms Solve logarithmic equations with one logarithm Solve logarithmic equations with multiple logarithms

Evaluate logarithms using properties Convert between exponential and logarithmic form Exponential growth and decay: word problems Properties of logarithms: mixed review Solve exponential equations by rewriting the base Compound interest: word problems Exponential functions over unit intervals Domain and range of exponential and logarithmic functions

Trigonometric identities

Complementary angle identities Trigonometric sum and difference identities

Find trigonometric ratios using a Pythagorean or reciprocal identity Find trigonometric ratios using multiple identities

Trigonometry

Solve trigonometric equations Find trigonometric ratios of special angles Find trigonometric ratios using reference angles Inverses of trigonometric functions Inverses of trigonometric functions using a calculator

Convert between radians and degrees Coterminal and reference angles Quadrants Find trigonometric ratios using the unit circle

Functions

Composition of functions Evaluate functions

Write the equation of a linear function Find the slope of a linear function

Rational functions

Solve rational equations

Conic sections

Convert equations of conic sections from general to standard form

Trigonometric functions

Write equations of cosine functions using properties

Write equations of sine and cosine functions using properties

Families of functions

Transformations of functions Reflections of functions Function transformation rules

Dilations of functions Describe function transformations

Radical functions

Solve radical equations

Roots and rational exponents

Nth roots Operations with rational exponents Evaluate rational exponents Find roots using a calculator

Roots of integers Simplify radical expressions with variables Simplify expressions involving rational exponents

Limits

Find limits of polynomials and rational functions Find limits using power and root laws Find limits involving factorization and rationalization

Find limits using the division law Find limits using addition, subtraction, and multiplication laws

Polynomials

Conjugate root theorems Complex conjugate theorem Find the roots of factored polynomials Pascal's triangle and the Binomial Theorem Factor sums and differences of cubes Even and odd functions Solve equations with sums and differences of cubes Pascal's triangle Solve equations using a quadratic pattern

Descartes' Rule of Signs Write a polynomial from its roots Divide polynomials using synthetic division Evaluate polynomials using synthetic division Rational root theorem Binomial Theorem II Factor using a quadratic pattern Fundamental Theorem of Algebra

Probability

Find conditional probabilities Find probabilities using the addition rule Introduction to probability Identify independent events

Find probabilities using combinations and permutations Combinations and permutations Independence and conditional probability

Introduction to derivatives

Find equations of tangent lines using limits Find values of derivatives using limits Find instantaneous rates of change

Find the slope of a tangent line using limits Velocity as a rate of change Average rate of change I

Three-dimensional vectors

Find the magnitude of a three-dimensional vector

Complex numbers

Powers of i Add, subtract, multiply, and divide complex numbers Multiply and divide complex numbers

Add and subtract complex numbers Absolute values of complex numbers

Two-dimensional vectors

Determine the direction of a vector scalar multiple Find the magnitude of a vector Find the magnitude of a vector scalar multiple

Find the magnitude and direction of a vector sum Find the direction angle of a vector

Probability distributions

Identify discrete and continuous random variables Find values of normal variables Find probabilities using the binomial distribution Mean, variance, and standard deviation of binomial distributions Use normal distributions to approximate binomial distributions

The Central Limit Theorem Expected values for a game of chance Find probabilities using the normal distribution II Find probabilities using the normal distribution I Choose the better bet

Sequences and series

Find a recursive formula Find terms of a sequence Partial sums of geometric series Partial sums: mixed review Convergent and divergent geometric series Convert between explicit and recursive formulas Introduction to partial sums Find terms of a recursive sequence Identify a sequence as explicit or recursive Convert a recursive formula to an explicit formula

Find the sum of a finite geometric series Identify arithmetic and geometric series Find recursive and explicit formulas Convert an explicit formula to a recursive formula Write a repeating decimal as a fraction Find the value of an infinite geometric series Introduction to sigma notation Find the sum of an arithmetic series Partial sums of arithmetic series

Polar form

Convert complex numbers between rectangular and polar form

Statistics

Interpret confidence intervals for population means Identify biased samples Experiment design

Interpret regression lines Variance and standard deviation

Systems of equations

Solve a system of equations in three variables using elimination Determine the number of solutions to a system of equations in three variables Solve a system of equations using substitution Solve a system of equations in three variables using substitution

Solve a system of equations using elimination Classify a system of equations Solve a system of equations using substitution: word problems Solve a system of equations using elimination: word problems

Quadratic equations

Solve a quadratic equation using square roots Solve a quadratic equation using the quadratic formula Solve quadratic equations: word problems

Solve a quadratic equation by factoring Solve a quadratic equation by completing the square Using the discriminant

Nonlinear inequalities

Solve quadratic inequalities

Solve higher-degree inequalities

Real numbers

Properties of operations on rational and irrational numbers

Classify rational and irrational numbers