Mathematics

Quantitative Reasoning exposes students to a wide range of general mathematics. The course emphasizes problem solving and critical thinking, along with the use of technology. It reinforces this material as students actively solve applied mathematical problems. Topics include geometry, measurements, probability, statistics, finance, functions and modeling, number theory and systems, and selected subtopics related to the students’ majors. The course may also introduce set theory and logic if time permits.

In College Algebra, topics include linear, quadratic, and higher degree equations; rational, radical, exponential, and logarithmic equations; graphs of functions; models and applications of functions; systems of linear equations; matrices and conic sections; sequences and series; and trigonometry.

Using graphical, numerical, and algebraic approaches, Pre-Calculus covers floor, power, linear, rational, circular, exponential, logarithmic, polynomial, and absolute-value functions. The course also explores the quadratic functions forming circles, ellipses, parabolas, and hyperbolas. The course highlights where calculus uses these elements and functions, and concludes by introducing students to limits, numerical derivatives, and numerical integrals. If time allows, students explore parametric equations, polar coordinates, sequences and series, the binomial theorem, and vectors in the two-dimensional plane.

Statistics includes the following topics: elementary probability, confidence intervals, hypothesis testing, linear regression and correlation, the Central Limit Theorem, discrete and normal probability distributions, estimating parameters and determining sample size, and methods of obtaining, analyzing, and presenting data.

Calculus I concentrates on limits, differentiation, and integration. It covers circular, exponential, logarithmic, and polynomial functions. Students apply the material they learn in computing areas, volumes, optimization, and related rates. They also apply this material in sketching curves and solving differential equations.

Math in Our World II uses MATH220W as its basis for further investigation into mathematical discourse. Students engage in various activities and discussions with an emphasis on communication, problem solving, cooperative learning, and activity-based learning. The course covers mathematical content for levels K-8, with a focus on grades 4, 5, and 6. Topics include algebra, statistics, probability, and two- and three-dimensional geometry. Students solve problems using creative approaches and learn how to apply these approaches as future teachers.