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Math 1750 Applied Technical Mathematics I 3 Credits Offered Lecture Format Prerequisite required (MATH 0600 with a grade of C or better or Appropriate Placement-Test Score) Created- fall 2011 SYLLABUS Learning Outcomes: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Apply numerical data Apply properties of plane and solid geometric figures Represent data using functions and their graphs Factor simple polynomial expressions Simplify and operate with rational expressions Solve quadratic equations with real roots Find the trigonometric functions of an acute angle Use trigonometric functions to solve right triangles Work effectively with expressions involving rational exponents Interpret and apply the definition and significance of logarithms to the base ten TOPICS: I WORKING WITH NUMERICAL DATA A. The real numbers B. Calculators and approximate numbers 1. Rounding to place value 2. Significant figures C. Scientific notation D. Engineering notation II GEOMETRY A. Lines and angles B. Triangles C. Quadrilaterals D. Circles E. Measurement of irregular areas F. Solid geometric figures III FUNCTIONS AND GRAPHS A. Introduction to functions B. More about functions C. Rectangular coordinates D. The graph of a function E. Graphs on the graphing calculator [ optional] F. Graphs of functions defined by tables of data 2 IV THE TRIGONOMETRIC FUNCTIONS A. Angles B. Defining the trigonometric functions C. Values of the trigonometric functions D. The right triangle E. Applications of right triangles V MORE ABOUT GRAPHS A. Linear equations B. Graphs of linear equations C. The distance formula D. The slope of a line E. Equations of lines VI MORE TRIGONOMETRY A. Signs of the trigonometric functions B. Trigonometric functions of any angle C. Radians D. Applications of radian measure E. Waveforms VII EXPONENTS AND RADICALS A. Integer exponents B. Fractional exponents C. Simplest radical form D. Operations with radicals VII COMPLEX NUMBERS A. Basic definitions B. Basic operations with complex numbers C. Graphical representation of complex numbers D. Polar form of a complex number E. Application to AC circuits VIII EXPONENTIAL AND LOGARITHMIC FUNCTIONS A. Exponential functions B. Logarithmic functions C. Properties of logarithms D. Base ten logarithms