Advanced Technical Mathematics MATH 1013

Upon successful completion, the student is expected to be able to:

• Simplify algebraic expressions and solve algebraic equations using the basic laws of algebra.
• Find the domain and range of a function and use functional notation to manipulate, combine, and evaluate functions.
• Solve linear systems in up to three unknowns using a number of different methods.
• Formulate and solve financial, mixture, work and flow problems.
• Solve application problems involving quadratic relationships using factoring, and the quadratic formula.
• Solve inequalities in one and two variables.
• Solve exponential and logarithmic equations.
• Formulate and solve problems using common and natural logarithms (example applications will be taken from a number of different technologies).
• Solve a variety of problems in technology and industry using right angle and oblique angle trigonometry.
• Determine the amplitude, period, frequency, and phase shift for sine and cosine waves.
• Demonstrate calculator fluency for all relevant applications.
• Solve problems involving analytic geometry.
• Determine arc-length and use radians in angular motion applications.
• Using vector analysis, solve a variety of problems such as force diagrams and displacement calculations.
• Solve technical problems using plane and 3D/solid geometry methods.

Effective as of Winter 2013