Michael Sullivan III / Katherine R. Struve Intermediate Algebra, 5th edition (Pearson, 2017). Mapped to DCM's M0482 (Intermediate Algebra) source class with M1431 cross-listing for the expanded exponential / logarithmic, conic sections, and sequences chapters.
Foundational real-number concepts and algebraic expressions, properties of real numbers, operations on real numbers, exponents, and order of operations.
Solving linear equations using the addition and multiplication properties, formulas, applications and word problems, ratio and proportion, linear inequalities including compound inequalities, and absolute value equations and inequalities.
The rectangular coordinate system, graphing linear equations, slope, equations of lines, linear inequalities in two variables, an introduction to functions, and basic graphs and transformations.
Solving systems of linear equations by graphing, substitution, and elimination; applications of systems; and systems of three linear equations.
Exponent rules including negative exponents, scientific notation, polynomial vocabulary and polynomial functions, addition and subtraction of polynomials, multiplication of polynomials, and polynomial division.
Factoring polynomials using greatest common factor and grouping; factoring trinomials; factoring special forms; solving factorable polynomial equations.
Simplifying rational expressions, multiplying and dividing, finding the least common denominator, adding and subtracting, simplifying complex fractions, solving rational equations, applications of rational equations, and variation.
Square roots, higher roots, rational exponents, simplifying radicals, adding/subtracting/multiplying radicals, rationalizing denominators, solving equations involving radicals, and complex numbers.
Solving quadratic equations by the square root property, completing the square, and the quadratic formula; equations in quadratic form; applications; quadratic functions and their graphs.
Inverse functions, exponential functions, logarithmic functions, properties of logarithms, solving exponential and logarithmic equations, and applications.
Parabolas and circles, ellipses, and hyperbolas presented in standard form with applications.
Sequences and series, arithmetic sequences and series, geometric sequences and series, and the binomial theorem.