Download Applied Technical Mathematics I

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.
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8.
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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