MCCCD Program Description

Algebra-Trigonometry for Technology

Course: ELE105

First Term: 2004 Fall

Lecture 5 Credit(s) 5 Period(s) 5 Load
Subject Type: Occupational
Load Formula: S

Description: Topics from college algebra and trigonometry essential to the study of electronics; polynomials, exponential and logarithmic functions, complex numbers, and trigonometric functions and identities

MCCCD Official Course Competencies
1. Solve linear systems of equations. (I) 2. Evaluate determinants of the second and third order. (I) 3. Solve quadratic equations. (II) 4. Make conversions among number systems and perform arithmetic operations in different number systems. (III) 5. Identify and graph exponential and logarithmic functions. (III, IV) 6. Apply the properties of the logarithmic and exponential functions to solve problems. (V) 7. Define and graph trigonometric functions. (VI, VII) 8. Use inverse trigonometric functions to solve problems. (VI, VII) 9. Perform basic operations with complex numbers and apply them to solve problems. (VIII, IX) 10. Identify and verify trigonometric identities. (X)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
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

MCCCD Governing Board Approval Date: 4/27/2004

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.