MATH& 141: Precalculus I

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Class Program

Mathematics

Credits

Lecture Hours 5 Clinical Hours None

Weekly Contact Hours

Course ID

091774

Meets Degree Requirements For

Natural Science,

Quantitative Skills

Description

Functions and their graphs (including elementary, exponential and logarithmic functions, and the conic sections) and their inverses in the context in which they are used in calculus. Work with graphing calculators will be integrated into the course.

Grading Basis

Graded

Prerequisites

MATH 102 with a "B" (3.0) or better, MATH 140, or appropriate placement score

Course Learning Outcomes

Apply the fundamental operations of algebra in problems involving elementary, exponential, and logarithmic functions.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Expert

Create and interpret graphs of functions.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Expert

Use appropriate optimization methods.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Intermediate

Use a graphing calculator as an appropriate tool for analysis.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Expert

Demonstrate algebra skills required for calculus coursework.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Expert

Recognize the equations for circles, ellipses, hyperbolas, and parabolas; be able to put them in standard form; and sketch their graphs.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Intermediate

Apply the fundamental operations of algebra in problems involving elementary, exponential and logarithmic functions.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Expert

Optional: Partial fractions.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Beginner

Core Topics

Applying the Algebra of functions
Graphing functions: Linear, polynomial, rational, radical, exponential and logarithmic
Solving equations: Linear, polynomial, rational, radical, exponential and logarithmic
Using linear and quadratic functions in an applied setting
Computing with Complex numbers
Solving systems of equations, including calculator or software techniques for large systems
Analyzing and modeling with rational functions and their graphs
Analyzing and modeling with exponential and logarithmic functions
Graphing with calculators where appropriate
Analyzing and graphing the conic sections equations
Optional: Partial fractions