10605172Applied Electronics Mathematics 2
Course Information
Description
This course is the second part of the applied electronics math sequence. Students continue to develop the mathematics skills needed by technicians to be successful in their field and is closely tied to the other electronics courses. Classroom sessions continue to integrate math with electronic applications.
Total Credits
2
Prior Learning Assessment
  • Exam-College Developed Challenge Exam
Course Competencies
  1. Apply the Law of Sines and the Law of Cosines for all triangles
    Assessment Strategies
    Exams
    Criteria
    Solve any triangle for any side or angle with the Law of Sines
    Solve any triangle for any side or angle with the Law of Cosines

  2. Mathematically define and perform operations with vectors and phasors
    Assessment Strategies
    Exams
    Criteria
    Graph vectors in the cartesian coordinate system
    Graph phasors in the cartesian coordinate system
    Mathematically represent phasors in polar and rectangular form
    Apply trigonometric functions to convert from rectangular to polar form
    Apply trigonometric functions to convert from polar to rectangular form
    Perform addition of phasors in rectangular form Perform multiplication of phasors in polar form

  3. Perform operations with phasors in the complex plane
    Assessment Strategies
    Exams
    Criteria
    Graph phasors in the complex plane
    Mathematically represent phasors with complex numbers
    Identify the components of a phasor
    Apply trigonometric functions to convert from rectangular to polar form
    Apply trigonometric functions to convert from polar to rectangular form
    Perform addition/subtraction of phasors in rectangular form
    Perform multiplication/division of phasors in rectangular form
    Perform multiplication/division of phasors in polar form

  4. Analyze the AC sinusoidal wave
    Assessment Strategies
    Exams
    Criteria
    Convert between radians and degrees
    Determine the angular period from the sinusoidal function
    Determine the instantaneous value from the sinusoidal function
    Determine the amplitude from the sinusoidal function
    Determine the peak-to-peak value from the sinusoidal function
    Determine the RMS value from the sinusoidal function
    Determine the average value from the sinusoidal function
    Determine the angular velocity from the sinusoidal function
    Determine the frequency from the sinusoidal function
    Determine the period from the sinusoidal function
    Determine the phase shift from the sinusoidal function
    Convert from a sinusoidal function to the equation

  5. Analyze series AC circuits using complex numbers
    Assessment Strategies
    Exams
    Criteria
    Determine the reactance of a capacitor with an ac voltage applied
    Determine the reactance of an inductor with an ac voltage applied
    Express the total impedance of an ac series RC, RL and RLC circuit in phasor form
    Express the voltages of an ac series RC, RL and RLC circuit in phasor form
    Express the current in an ac series RC, RL and RLC circuit in phasor form
    Determine the resonant frequency of a series RLC circuit

  6. Analyze series AC circuits using complex numbers
    Assessment Strategies
    Exams
    Criteria
    Express the total impedance of an ac parallel RC, RL and RLC circuit in phasor form
    Express the admittance of an ac parallel RC, RL and RLC circuit in phasor form
    Express the total current in an ac parallel RC, RL and RLC circuit in phasor form
    Determine the resonant frequency of a parallel RLC circuit

  7. Apply the Superposition Theorem to DC circuits
    Assessment Strategies
    Exams
    Criteria
    Determine when to use the Superposition Theorem
    Apply the Superposition Theorem to a DC circuit with multiple sources

  8. Apply Thevenin’s Theorem to DC circuits
    Assessment Strategies
    Exams
    Criteria
    Determine the Thevenin equivalent voltage of a DC circuit
    Determine the Thevenin equivalent resistance of a DC circuit
    Construct the Thevenin equivalent circuit

  9. Apply Norton’s Theorem to DC circuits
    Assessment Strategies
    Exams
    Criteria
    Determine the Norton equivalent current of a DC circuit
    Determine the Norton equivalent resistance of a DC circuit
    Construct the Norton equivalent circuit
    Convert a dc voltage source to an equivalent DC current source
    Convert a dc current source to an equivalent DC voltage source

  10. Solve Exponential and Logarithmic Equations
    Assessment Strategies
    Exams
    Criteria
    Solve equations using the rules of exponents
    Solve equations using the rules of logarithms
    Determine voltage gain in decibels
    Determine power gain in decibels
    Determine the time constant in RC and RL circuits Solve equations with variables in the exponents