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Official Course
Description: MCCCD Approval: 05/27/03 |
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ELE105 20036-20045 |
LEC |
5 Credit(s) |
5 Period(s) |
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Algebra-Trigonometry for Technology |
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Topics from college algebra and trigonometry essential to the study of electronics; polynomials, exponential and logarithmic functions, complex numbers, and trigonometric functions and identities. Prerequisites: A grade of "C" or better in either ELE101 or equivalent, or satisfactory score on a math placement test. |
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Go to Competencies Go to Outline
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MCCCD Official Course Competencies: |
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ELE105
20036-20045 |
Algebra-Trigonometry
for Technology |
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1. |
Solve linear systems of equations. (I) |
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Evaluate determinants of the second and third order. (I) |
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3. |
Solve quadratic equations. (II) |
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Make conversions among number systems and perform arithmetic operations in different number systems. (III) |
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Identify and graph exponential and logarithmic functions. (III, IV) |
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Apply the properties of the logarithmic and exponential functions to solve problems. (V) |
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Define and graph trigonometric functions. (VI, VII) |
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Use inverse trigonometric functions to solve problems. (VI, VII) |
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Perform basic operations with complex numbers and apply them to solve problems. (VIII, IX) |
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10. |
Identify and verify trigonometric identities. (X) |
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Go to Description Go to top of Competencies
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MCCCD Official Course Outline: |
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ELE105
20036-20045 |
Algebra-Trigonometry
for Technology |
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I. Solving Systems of Linear Equations A. Graphical method B. Addition or subtraction method C. Substitution method D. Determinants of the second order E. Determinants of the third order II. Solving Quadratic Equations A. Incomplete quadratics B. Complete quadratics C. The quadratic formula D. Graphing quadratic functions III. Number Systems and Codes A. Decimal and binary numbers B. Binary arithmetic C. 1's and 2's complements D. Number system conversions E. Binary coded decimal (BCD) and other digital codes IV. Logarithmic and Exponential Functions A. common logarithms B. Scientific notation C. Antilogarithms D. Powers and quotients E. Natural logarithms F. Further properties of logarithms G. Semi-log and log-log plots V. Applications of Logarithmic and Exponential Equations A. The decimal B. System calculations C. RC and RL transient behavior VI. Angles and Triangles A. Points, lines, and angles B. Special angles C. Triangles D. Right triangles and the Pythagorean theorem E. Trigonometric functions F. Trigonometric function applications G. Inverse trigonometric functions VII. Circular Functions A. Angles of any magnitude B. Circular functions C. Graphs of circular functions D. Law of sines and law of cosines E. Polar coordinates VIII. Vectors and Phasors A. Scalars and vectors B. The complex plane C. Real and imaginary numbers D. Complex numbers E. Phasors F. Resolving systems of phasors and vectors IX. Mathematics of Phasors A. Addition and subtraction B. Multiplication and division C. Powers and roots X. Additional Trigonometric Functions A. Auxiliary trigonometric functions B. Trigonometric identities C. Graphs of the auxiliary trigonometric functions |