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Mar 30, 2023
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MATH 1400 - College Algebra
This course covers the fundamental operations of algebra, graphs, equations, inequalities, systems of equations, matrices, exponents, logarithms, and an introduction to the theory of equations.
Credits: 4
Instructional Method Lecture
General Education Requirement: Basic Math
Comments: This course may be used for the quantitative reasoning requirement at UW.
Prerequisites:
MATH 0930 Intermediate Algebra with a grade of “C” or better OR Math Level IV Placement
Minimum Student Competencies
Upon completion of MATH 1400 Pre-Calculus Algebra, the student will:
- Solve first-degree equations for all real and complex roots.
- Solve second-degree equations for all real and complex roots utilizing the quadratic formula, completing the square, and factoring.
- Solve higher-degree equations for all real and complex roots utilizing technology and synthetic division.
- Solve first-degree, second degree, and higher degree inequalities for all solutions utilizing technology.
- Graph linear functions on the Cartesian Coordinate System using techniques to find intercepts and symmetry.
- Graph non-linear functions and relations on the Cartesian Coordinate System using techniques to find intercepts, local extremum, asymptotes, and symmetry.
- Solve real world problems including growth, decay, and other business/science applications utilizing logarithmic and exponential functions.
- Solve exponential and logarithmic equations.
- Evaluate the composition of two functions.
- Calculate the inverse of a function.
- Solve square and non-square systems of equations involving two or more variables using graphing, substitution, elimination, and matrix methods.
- Solve application problems involving one or several variables including motion, mixing, work, growth, decay, and optimization.
- Utilize the basic functions and capabilities of a graphing calculator.
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