| Searching Current Courses For Fall 2016 |
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Course: |
MAT 108
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Title: | Technical Mathematics |
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Long Title: | |
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Course Description: | Covers material designed for career technical or general studies students who need to study particular mathematical topics. Topics may include measurement, algebra, geometry, trigonometry, graphs, and/or finance. These are presented at an introductory level and the emphasis is on applications. |
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Min Credit: | 4 |
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Max Credit: | |
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Status Notes: | Replaces Mat 114 (FRCC), Mat 102 (RRCC) |
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Course Notes: | updated comptencies 7/30/03 |
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| C: 10/21/03 - changed competencies & outline per template |
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| C: sent by discipline chair |
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Origin Notes: | CCA |
STANDARD COMPETENCIES:
I. Demonstrate knowledge and use of ratios, proportions and percents.
II. Demonstrate knowledge and use of units of measure.
III. Demonstrate knowledge and use of signed numbers.
IV. Demonstrate knowledge and use of powers of ten and scientific notation.
V. Demonstrate knowledge and use of algebraic operations.
VI. Demonstrate knowledge and use of algebraic equations and formulas.
VII. Demonstrate knowledge and use of systems of equations.
VIII. Demonstrate knowledge and use of angles.
IX. Demonstrate knowledge and use of triangles.
X Demonstrate knowledge and use of circles and polygons.
XI. Demonstrate knowledge and use of geometric solids.
XII. Demonstrate knowledge and use of basic trig properties for sin, cos and tan.
XIII. Demonstrate knowledge and use of vectors.
XIV. Demonstrate knowledge and use of finance.
XV. Demonstrate knowledge and use of graphs.
XVI. Demonstrate knowledge and use of logarithms.
XVII. Demonstrate knowledge and use of statistics.
TOPICAL OUTLINE:
I. Ratios, proportions & percents
A. Write a comparison of two numbers as a ratio
B. Write a ratio as a fraction, decimal numeral or unit ratio
C. Solve a proportion
D. Recognize/set up/solve direct & indirect proportion applications
E. Convert among fractions,decimals and percents
F. Solve rate/base/percentage problems
II. Units of measure
A. Identify significant digits
B. Identify which of two numbers is more accurate or precise
C. Round numbers to the accuracy or precision required
D. Use dimensional analysis
III. Signed numbers
A. Use rules of operations on signed numbers
B. Find powers/roots of signed numbers
C. Use order of operations
IV. Powers of ten & scientific notation
A. Convert to/from scientific notation
B. Multiply/divide powers of ten & numbers in scientific notation
V. algebraic operations
A. Recognize/add/subtract like terms
B. Multiply/divide monomials
C. Use the distributive law
VI. Algebraic equations & formulas
A. Solve & check linear equations, including those containing grouping symbols & fractions
B. Evaluate/solve formulas
VII. Systems of equations
A. Solve systems of equations in two variables by substitution/addition
VIII. Use of angles
A. Identify/draw acute, obtuse, right, straight, vertical, complementary, supplementary, alternate interior, alternate exterior & corresponding angles
B. Convert between degree-minutes¿rees-tenths
C. Add/subtract measures of angles
D. Solve angle problems
IX. Triangles
A. Identify/draw acute, obtuse, isosceles, equilateral & right triangles
B. Use Pythagorean Thm to solve a right triangle
C. Find perimeter/area of a triangle
D. Solve similar triangle problems
X Circles & polygons
A. Identify squares, rectangles, parallelograms & trapezoids
B. Find perimeter/area of a quadrilateral
C. Identify regular pentagons, hexagons&octagons
D. Find perimeter/area of regular polygons
E. Identify diameter, radius, circumference, arc¿or of a circle
F. Find circumference, area, arc length¿or area
XI. Geometric solids
A. Identify prisms, cylinders, pyramids, cones & spheres
B. Identify critical characteristics of geometric solids
C. Find surface area/volume of geometric solids
XII. Basic trig properties for sin, cos & tan
A. Write trig ratios for angles in a right triangle
B. Solve right triangle problems
C. Find trig ratios for angles in standard position
D. Use a hand-held calculator to find angles & function values
E. Use Laws of Sines & Cosines
XIII. Vectors
A. Sketch vectors & their resultant in
B. Convert between polar & j-operator forms
C. Add vectors
XIV. Finance
A. Calculate costs & analyze data
B. Solve simple & compound interest problems
XV. Graphs
A. Sketch/read line, bar, circle & coordinate plane graphs
B. Use graphs to interpret data
XVI. Logs
A. Define log
B. Use properties of logs to manipulate/solve equations
XVII. Statistics
A. Define/use mean, median, mode & standard deviation
B. Use a normal distribution to find probabilities
C. Sketch/read/interpret graphs
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Arapahoe Community College |
ACC |
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Community College of Aurora |
CCA |
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Community College of Denver |
CCD |
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Front Range Community College |
FRCC |
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Lamar Community College |
LCC |
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Otero College |
OJC |
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Pueblo Community College |
PCC |
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Red Rocks Community College |
RRCC |
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