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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:

1. Solve first-degree equations for all real and complex roots.
2. Solve second-degree equations for all real and complex roots utilizing the quadratic formula, completing the square, and factoring.
3. Solve higher-degree equations for all real and complex roots utilizing technology and synthetic division.
4. Solve first-degree, second degree, and higher degree inequalities for all solutions utilizing technology.
5. Graph linear functions on the Cartesian Coordinate System using techniques to find intercepts and symmetry.
6. Graph non-linear functions and relations on the Cartesian Coordinate System using techniques to find intercepts, local extremum, asymptotes, and symmetry.
7. Solve real world problems including growth, decay, and other business/science applications utilizing logarithmic and exponential functions.
8. Solve exponential and logarithmic equations.
9. Evaluate the composition of two functions.
10. Calculate the inverse of a function.
11. Solve square and non-square systems of equations involving two or more variables using graphing, substitution, elimination, and matrix methods.
12. Solve application problems involving one or several variables including motion, mixing, work, growth, decay, and optimization.
13. Utilize the basic functions and capabilities of a graphing calculator.