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Standard |
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R State Standard £ Institutionally
Developed College: N/A |
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MAT 1111 – College Algebra |
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Course Description |
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This course emphasizes techniques of problem solving using algebraic
concepts. Topics include: fundamental
concepts of algebra; equations and inequalities; functions and graphs;
systems of equations; optional topics including sequences, series, and
probability; and analytic geometry. |
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Competency Areas |
Hours |
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Fundamental Concepts of Algebra |
Class |
5 |
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Equations and Inequalities |
D. Lab |
0 |
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Functions and Graphs |
P. Lab/O.B.I. |
0 |
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Systems of Equations |
Credit |
5 |
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Sequences, Series, and Probability |
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Analytic Geometry |
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Prerequisite: |
Minimum ASSET score of 42 or completion of
MAT 0099 with a minimum exit ASSET score of 42 or Compass equivalent. |
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Corequisite: |
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Course
Guide |
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Competency |
After
completing this section, the student will be able to: |
Hours |
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Class |
D.Lab
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P.Lab/ O.B.I. |
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Fundamental Concepts of Algebra |
5 |
0
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0 |
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Sets and Set Operations |
Demonstrate the concept of sets and set notation. |
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Find complements, unions, and intersections of sets. |
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Integral and Rational Exponents |
Compute the value of expressions using the laws of exponents. |
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Radicals |
Simplify radicals and use them in arithmetic operations. |
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Operations With Polynomials |
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Special Products and Factoring |
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Operations With Rational Expressions |
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Variations and Applications (Optional) |
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Fundamental Operations With Complex Numbers (Optional) |
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Perform arithmetic operations on complex numbers. |
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15 |
0
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0 |
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Linear Equations In One Unknown With Applications |
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Quadratic Equations In One Unknown With Applications |
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Linear Inequalities |
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Quadratic Inequalities |
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Rational Inequalities |
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Absolute Value Equations and Inequalities (Optional) |
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Exponential Equations With Applications |
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Logarithmic Equations With Applications |
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Solve application problems involving logarithmic equations. |
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Functions and Graphs
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12
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0
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0 |
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Rectangular Coordinate System |
Graph ordered pairs. |
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Introductions To Relations and Functions |
Define relations and functions.
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Linear Functions and Their Graphs |
Graph linear functions.
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Quadratic Functions and Their Graphs |
Graph quadratic functions.
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Exponential Functions and Their Graphs |
Graph exponential functions.
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Logarithmic Functions and Their Graphs |
Graph logarithmic functions.
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Systems of Equations
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3
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0
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0 |
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Systems of Linear Equations With Two Unknowns and Applications |
Solve systems of linear
equations with two unknowns.
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Solve application problems
involving linear systems.
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Matrices and Their Applications (Optional) |
Solve systems of linear
equations with matrices.
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Linear Programming (Optional) |
Solve simple linear programming
problems.
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Sequences, Series, and Probability (All Optional)*
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10
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0
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0 |
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Arithmetic Sequences and Series With Applications |
Recognize a pattern in a
sequence of numbers and use the pattern to extend an arithmetic sequence.
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Geometric Sequences and Series With Applications |
Recognize a pattern in a
sequence of numbers and use the pattern to extend a geometric sequence.
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Mathematical Induction |
Use mathematical induction to
prove statements.
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Binomial Theorem |
Use the Binomial Theorem to
expand the binomial.
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Use the Binomial Theorem to
find indicated terms without expanding.
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