Style: The class is accessible, students may ask questions and the instructors will clarify. Students who score low on diagnostic may have to take the class twice. We do not reuse class materials within 2 years - one can retake a class for additional score increases and the practice problems will be different!

Arithmetic review: integers, primes, rational numbers, irrational numbers, real numbers, fractions to decimals, percentages, averages, rates, complex numbers, consecutive numbers, positive difference, absolute value, factors, multiples, number sequences, ratios and proportions, backsolving, direct and indirect variation.

Algebra: algebraic identities, operations with exponents, radicals, functions, properties of functions, linear and quadratic functions and equations, Viete's relations, systems of equations, exponential and logarithmic functions and equations, split functions, compound functions, graphing functions, roots, asymptotes, polynomials, factor theorem, Viete's relations, Descartes' rule, rational root theorem, integer, rational and real roots, complex numbers, complex roots, operations with complex numbers, limits of functions, matrices and determinants.

Geometry: points, lines, angles, parallel and perpendicular lines, triangles, Pythagorean theorem, special triangles, similar triangles, areas of triangles, quadrilaterals, polygons, circles, boxes, cubes, cones, pyramids, prisms, cylinders, spheres, similarity, geometric transformations.

Coordinate geometry and vectors: lines, slopes, distance formula, midpoint, distance from a point to a line, inequalities, ellipse, hyperbola, parabola, vectors, operations with vectors.

Trigonometry: degrees and radians, trigonometric functions in right triangles and unit circle, domain and range, what calculators produce, trigonometric identities, graphs, trigonometric equations, law of sines, law of cosines, polar coordinates, complex numbers in trigonometric form, de Moivre's formula.

Statistics and probability: data sets, range, mean, median, mode, standard deviation, discrete and geometric probability, permutations, combinations, binomial theorem, operations with sets, principle of inclusion-exclusion, sequences, arithmetic and geometric sequences and series.

Homework will be assigned at each lesson and is expected to take 2 hours to complete.

Progress will be measured through class quizzes. There will be four class quizzes and three diagnostic/practice tests: at the start, midterm and final. Results are reported electronically.

Materials do not repeat sooner than 2 years. Students who re-take this class will encounter different practice problems each time around. We constantly add new problems and monitor trends in the format of the test.