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
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will be able to apply mathematical concepts to real world situations.
-
Students will be able to apply mathematical concepts to real world situations.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
-
Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
Core Topics
- Factoring techniques including greatest common factor, three and four term polynomials, sum and difference of cubes, substitution, radicals.
- Arithmetic operations on functions.
- Polynomial long division.
- Graphs of common functions with transformations: shift, reflect, stretch/compress.
- Composite and inverse functions.
- 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.
- Solve exponential and logarithmic equations.
- Graph exponential and logarithmic functions.
- Solve science-related application problems involving the following equation types: quadratic, rational, exponential, and logarithmic.
- Modeling with linear, quadratic, exponential, and logarithmic functions.
- Optional: Curve fitting as a bridge to regressions.
- Optional: Graph systems of linear inequalities.
- Optional: Solve absolute value equations/inequalities and graph their solutions.
- Optional: Introduce the basic concepts of sequences and series.