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Master
Course Outline
OCSUP 107
Introduction to Technical Mathematics
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| Credits: 5 |
Clock Hours per Quarter: 50
AA Discipline:
Lecture Hours:50
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Description
Integrated course of algebra, geometry and trigonometry. Practical applications to vocational and technical programs are emphasized through the use of contextualized small-group classroom activities and guided practical problem solving. Topics include graphing in the Cartesian coordinate system; graphing and solving linear equations and systems of linear equations; geometric concepts of angles (degree and radian measure) and triangles, including the Pythagorean theorem and similar triangles; trigonometric concepts of sine, cosine, and tangent, and solving right triangles. Prerequisite: Grade of C- or better in OCSUP 106 or MATH 72B, or appropriate placement score. |
Intended Learning Outcomes
Interpret written information, including graphs and application problems.
Understand and use creative thinking processes to support solving problems and making decisions.
Effectively communicate mathematical ideas in both everyday and mathematical language.
Use a scientific calculator to preform a variety of numerical calculations.
Translate word problems into mathematical or algebraic language and solve.
Construct a basic graph in Microsoft Excel.
Use whole numbers, integers, fractions, decimals, and order of operations in problems solving.
Identify and construct the following items in a Cartesian coordinate system:
* basic components of a graph, such as title, axes, legend, scale, data points
* data points in all four quadrant
* X-intercepts, y-intercepts, positive slope, and negative slope.
* identify and interpret data trends, including linear and quadratic relationships
Analyze linear functions and equations:
* solve linear equations in one variable
* graph linear equations in two variables
* calculate the slope of a line or determine the coordinates of a point on a line using the slope formula
* determine is two lines a parallel of perpendicular to each other
* use the midpoint and distance formula
* know and use the slope/intercept form of line
* determine the equation of a line given sufficient information
* recognize the standard form of a linear equation
* solve a system of two linear equations in two variables by the graphing method, the elimination method, and the substitution method
Analyze quadratic functions and equations:
* graph quadratic equations in two variable
* solve quadratic equations by the graphing method and by using the quadratic formula
Identify, classify, and calculate angles in triangles and transversals
Convert the measure of angle from degrees to radians and/or from radians to degrees
Define the trigonometric functions sine, cosine, and tangent
Calculate the sine, cosine, and tangent of a given angle, in both degrees and radians
Calculate and angle given the sine, cosine, or tangent of the angle in both degrees and radians
Solve right triangles
Graph vectors
Construct a vector from two vector components both graphically and using right triangle trigonometry
Determine the vector components of a vector using right triangle trigonometry
Determine a vector sum graphically and by using the vector component method.
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Course Topics
algebraic properties
functions
equations
graphs
quadratic equations and functions
polynomial functions and rational exponents
exponential and logarithmic functions
angles, lines, triangles, circles, areas and volume
radian measure
right triangles
Pythagorean Theorem
sines, cosines and tangents
vectors
basic trigonometric functions
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Syllabi
Listing
See ALL Quarters
| Course |
Year
Quarter
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Item
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Instructor |
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| OCSUP 107 |
Winter 2013 |
0357 |
Melissa Holecek |
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| OCSUP 107 |
Winter 2013 |
0356 |
Michelle Schmode |
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| OCSUP 107 |
Winter 2012 |
6620 |
Paul Boyd |
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| OCSUP 107 |
Winter 2012 |
1650 |
Michelle Schmode |
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| OCSUP 107 |
Winter 2012 |
1651 |
Michelle Schmode |
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Two Year Projected Schedule
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One* |
Year
Two** |
Fall |
Winter |
Spring |
Summer |
Mini |
Fall |
Winter |
Spring |
Summer |
Mini |
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X
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X
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*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
printable version
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