Basic Mathematics MATH 051
Integers, prime numbers, factoring, least common multiple, greatest common divisor; operations with fractions and decimals; rules for exponents, roots, order of operations, simplifying expressions; ratios and solving proportions; converting between fraction, percent, and decimal; inequalities, absolute value; systems of units of measurement, unit conversion; significant figures and rounding; perimeter, circumference, area, length, volume, surface area of square, rectangle, circle, triangle, trapezoid, cube, sphere, cylinder; geometry of parallel lines and perpendicular lines; Pythagorean theorem.
Elementary Algebra MATH 152
All topics of Basic Mathematics plus:
Accuracy and precision of measurements; mean, median, mode, dot plot, box-and-whisker plots, histogram; variables, simplifying algebraic expressions, distributive rule; functions, domain and range, table of values and graph; evaluating algebraic expressions and functions; graphing lines in the coordinate plane, slope, parallel and perpendicular lines, slope-intercept equation and point-slope equation of a line; solving equations and inequalities with one variable, literal equations; theory-driven linear modeling, creating an algebraic expression from a physical situation; data-driven linear modeling, scatter plots and fitting a line to data, evaluating the model; polynomials and their operations, factoring quadratics and other polynomials, solving equations involving polynomials by factoring.
Intermediate Algebra MATH 153
All topics of Basic Mathematics and Elementary Algebra plus:
Graphing quadratic functions, solving quadratic equations exactly using factoring or quadratic formula, and approximately by graphing; simplifying variable expressions with roots and radicals and fractional exponents, rationalizing the denominator, solving equations with roots and radicals and fractional exponents; distance between two points in the plane, equation of a circle; graphing inequalities in the plane; operations with rational expressions, solving rational equations; solving systems of equations.
Functions and Graphs 1 MATH 161
All topics of Basic Mathematics, Elementary Algebra, Intermediate Algebra plus:
Functions, rate of change of a function, domain and range of a function from graph and formula; concavity; absolute value functions, piecewise-defined functions; inverse functions; rules for exponents and logarithms, other bases, the number e and interest problems; solving equations involving logarithms and/or exponentials; applications of exponential and logarithmic functions; families of linear, quadratic, power, polynomial, rational, exponential, and logarithmic functions; average rate of change and comparison of rates of growth of these functions; transformations of functions and their graphs, shifts, reflections, symmetry, stretches, compressions.
Functions and Graphs 2 MATH 162
All topics of Basic Mathematics, Elementary Algebra, Intermediate Algebra, and Functions and Graphs 1 plus:
Measuring angles in degrees and radians, reference angles, special angles; creating sine and cosine functions from circular motion; trigonometric functions and their graphs; trigonometric identities; inverse trigonometric functions and their graphs; solving equations involving trigonometric expressions; solving right triangles; solving general triangles using sine and cosine laws; applications of trigonometry; sums, products, inverses, and composition of functions; power functions; short run and long run behavior of polynomials and rational functions, applications of polynomials and rational functions; comparing power, exponential, and logarithmic functions; vectors in the plane and their components, dot product, applications of vectors.
Calculus 1 MATH 281
Definition of the derivative; sum, product, and division rules for differentiation; chain rule; graph of a derivative function; equation of a tangent line and local linearization.
Definition of the integral in terms of upper and lower sums, fundamental theorem of calculus, average value of a function, mean value theorem.