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Berkeley Global
Study concepts in college algebra, including the solving of linear, quadratic and other algebraic equations and identities; developing mathematical models; and the graphing of linear, exponential, rational, logarithmic and polynomial functions. You also learn 2-variable graphs of the conic sections, and general ideas and properties of functions, complex numbers and matrix algebra operations.
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
- Demonstrate proficiency in matrix algebra operations, properties and determinants for solving systems of linear equations
- 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
- Matrices and algebra of matrices
- Solving matrix equations, the inverse of a matrix and determinants
- Conic sections, how definitions arise from the cone
- Equations and properties for the conic sections
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