This course is a prerequisite or corequisite for Pre-Calculus I, Math& 141. It is designed to strengthen the mathematical foundation necessary for success in STEM math, specifically Pre-Calculus I, Pre-Calculus II, and Calculus. Emphasis on science related application problems and mathematical modeling throughout the course. Successful completion of this course will prepare students for success in college-level STEM math courses, Math& 141 and beyond.
MATH 99 or higher with a C (2.0) or better, or concurrent enrollment in Math& 141, Math& 142, or Math& 151, or appropriate placement recommendation
Course Learning Outcomes
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
LevelExpert
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
LevelExpert
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
LevelExpert
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
LevelIntermediate
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
LevelExpert
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
LevelIntermediate
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Students will be able to apply mathematical concepts to real world situations.
LevelIntermediate
Core Topics
- Review: Solving linear and literal equations
- Review: Graphing linear equations
- Factoring techniques including greatest common factor, factor by grouping, trinomials, difference of squares, sum and difference of cubes, substitution, radicals
- Rational exponents
- Multiply, divide, add, subtract, and simplify radical expressions
- Solve radical equations with multiple radicals
- Evaluate and identify domain and range for functions including quadratic, square root, cubic, cube root, rational, and absolute value given as equations
- Graphs of common functions including quadratic, absolute value, square root, cube root, and cubic with transformations: shift, reflect, stretch/compress
- Algebra of complex numbers, operations on complex numbers, and complex numbers as solutions to quadratic equations
- Solve quadratic equations with complex solutions using factoring, quadratic formula, and complete the square
- Graph quadratic functions using a variety of techniques including zeros, vertex form, locating the vertex by (-b/2a, f(-b/2a)), completing the square to convert into vertex form
- Operations on rational expressions: reduce, multiply, divide, add & subtract with unlike denominators
- Solve rational equations, including cases where the solution does not exist
- Use logarithm properties to manipulate expressions
- Solve exponential and logarithmic equations
- Graph exponential and logarithmic functions
- Solve science-related application problems involving the following equation types: quadratic, rational, radical, exponential, and logarithmic
- Set up and solve joint variation word problems
- Optional: Curve fitting as a bridge to regressions
- Optional: Graph systems of linear inequalities
- Optional: Composite and Inverse Functions
- Optional: Solve absolute value equations/inequalities and graph their solutions
- Optional: Solving non-linear systems and those with more than two variables
- Optional: Introduce the basic concepts of sequences and series