Math (MATH1-UC)

This is the first of a two-course sequence in elementary and intermediate algebra. Topics include signed numbers, linear equations, linear inequalities; absolute value equations and inequalities; laws of exponents; polynomials; factoring; rational algebraic expressions; and graphs of linear equations and inequalities. Students may seek exemption from the course through testing. Credit is not awarded if Mathematical Reasoning has been successfully completed.

This course develops quantitative thinking through the framework of personal finance applications. Students will build foundational algebraic problem-solving skills while exploring introductory financial scenarios such as budgeting, basic savings and investment strategies, credit management, and college financing. By applying mathematical reasoning to real-world financial situations, students will begin to develop the tools needed to make informed and responsible personal finance decisions and gain an appreciation for how these skills can be valuable across various academic fields and professional contexts.

This is the second in a two-course sequence in algebra. Topics include line equations, systems of two linear equations, rational exponents, radical expressions, radical equations, complex numbers and quadratic equations, graphs of quadratic functions, and quadratic inequalities. Students may seek exemption from the course through testing. Credit is not awarded if Mathematical Reasoning has been successfully completed.

The course uses the framework of functions (linear, polynomial, exponential, and trigonometric) to analyze and draw conclusions about real life situations involving quantitative concepts. Mathematical ideas are presented in multiple ways (through graphs, formulas, and verbal descriptions). Classes are interactive and participatory.

The course topics include an introduction to statistics terminology; methods of organizing data; measures of central tendency and measures of variation; elementary probability theory; normal distributions; areas under the standard normal distribution; sampling distributions; the Central Limit Theorem; estimation; hypothesis testing; and correlation and regression.

The course emphasizes the analysis of real-life situations using the tools of single-variable calculus (limits, derivatives, anti-derivatives, graphing, optimization). Classes are participatory and interactive, with lectures supplemented by in-class individual and group work. Students give oral presentations, both individually and in groups.

The class provides an introduction to statistical concepts and their applications in business. Through numerous examples and case studies, students build quantitative literacy skills to summarize and make sense of data. Core topics include data visualization techniques like frequency tables, bar charts, histograms, scatter plots and other basic graph types, fundamental statistical measures of central tendency and spread, basic probability rules, sampling concepts, and an introduction to linear regression for analyzing relationships between variables. The course emphasizes the relevance of these statistical techniques for recognizing patterns, understanding differences between groups, making data-driven decisions, and simple forecasting.

This course introduces key concepts of applied linear algebra with a focus on real-world applications. Designed for students without prior math or coding experience, the course uses interactive activities and straightforward exercises to build foundational skills. Students will explore topics such as vector and matrix operations and learn how these concepts can be applied in tasks like organizing information, making recommendations, and analyzing simple data sets. The course emphasizes practical problem-solving and relevance to everyday life, highlighting applications in areas such as marketing, social media, and public policy. Ethical considerations and responsible use of mathematical tools are integrated throughout to support thoughtful decision-making.