## Mathematics - Theological Research Institute

## Descriptions and credit recommendations for all evaluated learning experiences

Self-study, self-paced.

October 2018 - Present.

Upon successful completion of the learning experience, students will be able to: analyze, represent, and solve elementary problems in logic, set theory, and probability; recognize and apply the characteristics of a mathematical structure; develop the ability to analyze, interpret, and apply quantitative information; accurately translate and solve descriptive problems into mathematical formulas; apply new knowledge to draw conclusions, solve problems, explain, decide, and predict.

The course is designed to help students make the transition from calculus courses to the more theoretical junior-senior level mathematics courses. The goal of this course is to help students learn the language of rigorous mathematics, as structured by definitions, axioms, and theorems. Students will be trained to read, understand, devise and communicate proofs of mathematical statements. A number of proof techniques (contrapositive, contradiction, and induction) will be emphasized.

In the lower division baccalaureate/associate degree category, 3 semester hours in Math or as a general elective (10/20).

Self-study, self-paced.

August 2021 - Present.

Upon successful completion of the learning experience, students will be able to: analyze functions and non-functions and their graphs; sketch the graphs of circles and functions, including constant, linear, piecewise-defined, absolute value, square root, polynomial, rational, exponential and logarithmic; solve equations, including polynomial, absolute value, radical, rational, exponential and logarithmic equations; solve systems of equations and systems of linear inequalities; solve inequalities, including absolute value, polynomial and rational inequalities; and create mathematical models to solve application problems and make predictions.

This self-study course is designed to provide students with the basic principles of algebra for further study of college math, including mathematical expressions such as polynomials, exponentials, and logarithms and their manipulations. Other topics include functions, and graphs.

In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics, or College Algebra (8/21).

Self-study, self-paced.

August 2021 – Present.

Upon successful completion of the learning experience, students will be able to: define the main features of traditional and modern statistics; analyze statistical data properly; explain the role of formal statistical theory and informal data analytic methods; use statistical methods relevant to upper division interdisciplinary courses; acquire sharpened statistical intuition and abstract reasoning, as well as reasoning from numerical data through community-based and other research.

The course is intended for students in a wide variety of areas of study and provides an introduction to statistics. Topics discussed include displaying and describing data, the normal curve, regression, probability, statistical inference, confidence intervals, and hypothesis tests with applications in the real world. Students also have an opportunity to analyze data sets using technology.

In the lower division baccalaureate/associate degree category, 4 semester hours in Mathematics, Economics, Business, Finance, Accounting, or Management (7/22).