Spring 2019

MTH 103 satisfies the **A1 - science, technology, engineering, and mathematical (STEM)** and **B3 - mathematical, statistical, or computational** general education outcomes.

The goals of the course are:

- Provide an introduction to applied mathematics, which is essential to natural and mathematical sciences, and other areas.
- Expose students to mathematical concepts and provide mathematical skills needed in their area of specialization through use of applied problems.
- Provide a bridge for the student from high-school or lower-division mathematics courses to applied calculus courses.
- Help students to become effective mathematics problem solvers. In particular: understand concepts rather than merely mimic techniques, demonstrate understanding through explanation, understand the relationship between a process and the corresponding inverse process, and select the proper mathematical tool or tools for the task at hand.

At the end of the course you should be able to:

**Functions.**Use functions defined algebraically, numerically and, graphically to determine properties and behaviors of those functions.**Linear Functions.**Recognize the relationship between linearity and constant rate of change, identify slope and intercepts of a linear function, derive equations of straight lines and linear functions, and model real life processes by using linear functions.**Quadratic Functions.**Identify different forms of quadratic functions, their geometric properties and graphs, and solve quadratic equations.**Power Functions.**Relate basic properties of a power function to the properties of the exponent, use the laws of exponents to put functions in a form where the exponent can be clearly recognized, and model real life processes by using power functions.**Exponential Functions.**Interpret different forms of an exponential function in terms of properties of the function, model real life processes by using exponential functions.**Logarithmic Functions.**Use properties of logarithms to solve exponential equations, and use logarithms in applied problems.**Trigonometric Functions.**Determine period and amplitude of a periodic function from a formula or the graph, or a verbal description of the function, use families of trigonometric functions for modeling.**Written Mathematical Communication.**Communicate effectively in written form mathematical ideas and solutions, by stating in a complete, clear, concise, and organized manner steps, calculations, solution strategy, conclusions, and when appropriate, interpreting results in practical or applied terms.