TMTH 1150  RCL Analysis Credit Hours: 4.00 Prerequisites: None
Basic algebra, formula transposition, scientific notation (powers of 10), trigonometry, special products and factoring. Application of algebra and formulas to solving network simplification. Simultaneous equations. Resistive D.C. circuits and reactive A.C. circuits (inductive and captive), calculations to support ELEC 1141, ELEC 1161, and ELEC 1171.
Billable Contact Hours: 4
Search for Sections OUTCOMES AND OBJECTIVES Outcome 1: Upon completion of this course, the student will be able to solve and manipulate basic algebraic equations.
Outcome 2: Upon completion of this course, the student will be able to solve problems utilizing scientific and engineering notation.
Outcome 3: Upon completion of this course, the student will be able to understand and apply the basic rules of right angle trigonometry.
Outcome 4: Upon completion of this course, the student will be able to perform calculations involving logarithms.
Outcome 5: Upon completion of this course, the student will be able to apply the rules of algebra in solving formulas related to electronics.
Objectives
Upon completion of this course, the student will:
 With the use of a calculator, determine mathematical solutions and equivalencies in both scientific and engineering notation to accuracy within 5%.
 Given a table of conversion factors, perform conversions within and between SI and English units to accuracy within 5%.
 Given numerical substitutions for literal values, evaluate algebraic expressions to accuracy within 5%.
 Given various algebraic expressions, apply the laws of mathematics in solving for any literal value within the expression to an accuracy of 100%.
 Given the unique relationship between two interrelated variables, develop and graph a first order linear equation within an accuracy of 5%.
 Given a right triangle with two known elements and using the laws of trigonometry, solve for any remaining right triangle element within an accuracy of 5%.
 Given a set of either polar or rectangular coordinates, convert between polar and rectangular notation in representing vector and phasor quantities within an accuracy of 5%.
 Given a sinusoidal waveform, interrelate effective, average, peak, and peaktopeak voltages within an accuracy of 5%.
 Given electronics equations which utilize log ten, solve for any equation variable within an accuracy of 5%.
 Given electronics equations which utilize natural log, solve for any equation variable within an accuracy of 5%.
COMMON DEGREE OUTCOMES (CDO) • Communication: The graduate can communicate effectively for the intended purpose and audience. • Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue. • Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives. • Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task. • Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments. • Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.
CDO marked YES apply to this course: Critical Thinking: YES Information Literacy: YES Quantitative Reasoning: YES Scientific Literacy: YES
COURSE CONTENT OUTLINE
 Powers of 10
 Significant digits and proper rounding
 Mathematical operations utilizing scientific notation
 Mathematical operations utilizing engineering notation
 The power of a power, product, or fraction
 The root of a power
 Units and Dimension
 Converting values within and between the metric and English system
 Using conversion factors to convert from one dimension to another
 Illustrations of how units can be made to cancel out
 Algebra
 General numbers
 Understanding the signs and order of operation
 Evaluating algebraic expressions
 Understanding the relationship between factors and coefficients
 Utilizing primes and subscripts
 Understanding exponents and radicals
 Recognize terms within an algebraic expression
 Addition and subtraction
 Understanding the practical and mathematical need for negative numbers
 Understanding absolute values
 Adding and subtracting negative and positive numbers
 Adding and subtracting like terms
 Adding and subtracting polynomials
 Removing signs of grouping
 Multiplication and division
 Multiplying and dividing positive and negative numbers
 Understanding the law of exponents in multiplication and division
 Multiplying and dividing monomials and polynomials
 Understanding zero and negative exponents
 Equations
 Solving equations
 Canceling terms in an equation
 Changing signs of an equation
 Checking solutions
 Solving literal equations and formulas
 Understanding the meaning of ratio and proportion
 Graphs
 Locating points on a graph
 Solving problems by means of a graph
 Understanding coordinate notation
 Understanding graph  equation relationships
 Graphing a linear equation
 Deriving an equation from a graph
 Angles
 Understanding the generation of angles
 Understanding the sexagesimal system
 Understanding the circular or natural system
 Identifying similar triangles
 Identifying right triangles
 Trigonometry
 Trigonometric functions
 Understanding the relationship of trigonometric functions as ratios
 Relating the functions of complementary angles
 Reconstructing an angle when one function is given
 Determining the function of any angle
 Determining the signs of functions for any quadrant
 Understanding the functions of zero degrees
 Understanding the limitations and ranges of functions
 Interpreting graphical representations of functions
 Trigonometric values
 Finding the desired function given the angle
 Utilizing inverse trigonometric functions
 Finding the angle related to a trigonometric function
 Determining the functions of angles greater than 90 degrees
 Reducing the function of any angle to the function of an acute angle
 Determining angles corresponding to inverse functions
 Solution of right triangles
 Understanding the procedure for solving right triangles
 Given any two elements of a right triangle, solving for the remaining elements
 Solving for the area of a right triangle
 Elementary Plane Vectors
 Understanding the difference between vectors and phasors
 Understanding the components of vectors and phasors
 Finding the sum of vectors and phasors
 Determining the rectangular coordinates of a phasor
 Determining the polar coordinates of a phasor
 Converting between polar and rectangular coordinates
 Alternating Current
 Understanding how alternating current waveform is mechanically generated
 Understanding the relationship between A.C. generation and rotating vectors
 Determining the output of a generator given the mechanical configuration
 Interrelating between average, effective, peak and peaktopeak voltages
 Understanding phase relationships
 Logarithms
 Evaluating the logarithm of products, quotients, powers and roots
 Understanding interrelationships of the common system of logarithms (log 10)
 Understanding the interrelationships of the natural log system
 Evaluating common electronic formulas, which utilize logarithms
Primary Faculty Seger, Jennifer Secondary Faculty Mielke, Mike Associate Dean Thero, Laura Dean Hutchison, Donald
Official Course Syllabus  Macomb Community College, 14500 E 12 Mile Road, Warren, MI 48088
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