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Berkeley Global
This course reviews foundational college algebra skills and key mathematical concepts essential for further study in mathematics, science, and other quantitative disciplines. Students will develop proficiency in solving linear, quadratic, and other algebraic equations and identities, while strengthening their understanding of functions, graphs, and algebraic structures. The curriculum emphasizes the analysis and graphing of linear, exponential, rational, logarithmic, and polynomial functions, as well as two-variable graphs of conic sections. Learners will also explore core concepts including function properties, mathematical modeling, and complex numbers, while interpreting relationships among symbolic, graphical, and numerical representations. By the end of the course, students will have developed a cohesive conceptual foundation that supports success in calculus, statistics, data science, engineering, and other advanced quantitative fields.
Prerequisites:
You must have at least one year of high school algebra (or the equivalent of a beginning algebra class) and one year of high school geometry or its equivalent.
Course Outline
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Course Objectives
- Solve one-variable linear, quadratic, rational, exponential and logarithmic equations, systems of equations and inequalities
- Understand and graph linear, quadratic, rational, exponential and logarithmic functions
- Develop mathematical models that can be represented by these expressions and functions
- Understand the concept of functions in general, and the ideas of domain, composition of functions and inverse functions
- Demonstrate familiarity with complex numbers and their arithmetic operations
- Recognize and interpret 2-variable equations and graphs of the conic sections
What You Learn
- Coordinates and graphing
- Solving equations and complex numbers
- Solving inequalities and absolute value equations
- Modeling with curve fitting
- Function concept, graphing and rate of change
- Linear functions, combining functions and inverse functions
- Modeling with functions
- Polynomial functions and graphs; dividing polynomials
- Exponential functions in general and ex
- Review inverse functions, Logarithmic functions and laws of logarithms
- Exponential and logarithmic equations and their modeling
- Systems of linear equations in 2 variables, in several variables
- Partial fractions, systems of nonlinear equations, systems of inequalities
- Modeling: Linear programming
- Conic sections, how definitions arise from the cone
- Equations and properties for the conic sections
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Sections
Fall 2026 enrollment opens on June 15!