# Applied Electronic Math 1

## Course Outcome Summary

Course Information

Organization |
Madison Area Technical College |

Developers |
Terry O'Laughlin |

Development Date |
10/7/2005 |

Course Number |
10-605-171 |

Instructional Level |
Associate Degree |

Potential Hours ofInstruction |
84 |

Total Credits |
3 |

**Description
**First of a two-part applied electronics mathematics sequence. Focuses on
math concepts most

needed by technicians. Closely tied to the other first-semester electronics courses. Emphasizes

math as a powerful tool . The order of topics is dictated by math skills needed to complete

concurrent courses. Laboratory sessions with circuits, instruments and computers help students

appreciate the connections between math and electronic circuits.

**Types of Instruction**

Instruction Type |
Contact Hours |
Credits |

Classroom Presentation | 48 | 3 |

On-Campus Lab | 36 |

**Textbooks**

Arthur Kramer. Mathematics for Electricity and Electronics. Prentice Hall, Inc..
**Edition: **3rd.

**Learner Supplies**

A scientific (or graphing) calculator. **Manufacturer: ---.**

**Prerequisites**

Math placement test score OR Algebra Concepts (10-804-140) with a C or better

## Exit Learning Outcomes

**Core Abilities**

A. Critical thinking

B. Mathematics

## Competencies

**A. Perform basic operations with real numbers, symbols
and laws of algebra
Competence will be demonstrated:**

B.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating

this competency

**Criteria - Performance will be satisfactory when:**

B.1. you perform order of operations

B.2. you use implied grouping symbols

B.3. you calculate, using a scientific calculator or graphing calculator, arithmetic

operations, including use of the parenthesis keys

B.4. you solve expressions using the laws of signed numbers

B.5. you solve expressions using commutative laws

B.6. you solve expressions using distributive laws

B.7. you solve expressions using associative laws

B.8. you solve expressions using the operations with zero

B.9. you solve expressions using the laws of exponents

B.10. you solve expressions using the laws of scientific notation

B.11. you solve expressions using the laws of radicals

**B. Solve problems involving the basic operations with
algebraic expressions
Competence will be demonstrated:**

C.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating

this competency

**Criteria - Performance will be satisfactory when:**

C.1. you solve expressions involving addition of polynomials

C.2. you solve expressions involving subtraction of polynomials

C.3. you solve expressions involving multiplication of polynomials

C.4. you solve expressions involving division of polynomials

C.5. you apply skill to applied technical problems

C.6. you apply the process for solving technical problems according to the problem

solving criteria

**C. Solve linear equations in one unknown
Competence will be demonstrated:**

D.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating

this competency

**Criteria - Performance will be satisfactory when:**

D.1. you solve linear equations in one variable

D.2. you rearrange a formula to solve for an indicated first-degree variable

D.3. you represent unknown (s) with a variable

D.4. you translate English phrases into equations

D.5. you substitute given number for variables into formula or equations

D.6. you apply skill to applied technical problems

D.7. you apply the process for solving technical problems according to the problem

solving criteria

**D. Solve linear equations in two unknowns
Competence will be demonstrated:**

B.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating

this competency

**Criteria - Performance will be satisfactory when:**

B.1. you solves a system of linear equations involving two variables

B.2. you solves a system by elimination

B.3. you solves a system by substitution

B.4. you evaluates second determinants

B.5. you uses Cramer's Rule to solve systems

B.6. you apply skill to applied technical problems

B.7. you apply the process for solving technical problems according to the problem

solving criteria

**E. Factor algebraic expressions
Competence will be demonstrated:
**C.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

E.1. you factor using the greatest common factor

E.2. you factor binomials and trinomials

**F. Perform operations with algebraic fractions
Competence will be demonstrated:
**D.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

F.1. you add rational expressions

F.2. you subtract rational expressions

F.3. you multiply rational expressions

F.4. you divide rational expressions

**G. Solve rational equations
Competence will be demonstrated:
**E.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

G.1. you apply multiplication property to clear all denominators

G.2. you solve rational equations

G.3. you solve a formula for an identified variable

G.4. you apply skill to applied technical problems

G.5. you apply the process for solving technical problems according to the problem

solving criteria

**H. Solve quadratic equations over the set of real
numbers
Competence will be demonstrated:
**F.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

F.1. you identify coefficients of a quadratic equation in standard form

F.2. you select appropriate method for solving second-degree equations

F.3. you generate the equation which satisfies the conditions of the problem

F.4. you solve second-degree equation using the selected method

F.5. you select relevant solution(s)

F.6. you apply skill to applied technical problems

F.7. you apply the process for solving technical problems according to the problem

solving criteria

**I. Perform operations with exponents and radicals
Competence will be demonstrated:
**G.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

I.1. you calculate roots of rational numbers using a calculator

I.2. you evaluate an expression containing rational numbers having rational powers

using a calculator

I.3. you evaluate an expression containing rational powers on numbers with rational

roots

I.4. you use properties of exponents, solve an expression containing rational powers

on variables assumed to have rational roots

**J. Solve equations with radicals and/or exponents
Competence will be demonstrated:
**H.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

H.1. you solve radical equations involving one variable

H.2. you verify solutions by substitution into original equation

H.3. you apply skill to applied technical problems

H.4. you apply the process for solving technical problems according to the problem

solving criteria

**K. Solve exponential and logarithmic equations
Competence will be demonstrated:
**I.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

I.1. you solve exponential equations

I.2. you solve logarithmic equations

I.3. you solve applied problems involving exponential or logarithmic equations, such

as growth and decay

I.4. you apply skill to applied technical problems

I.5. you apply the process for solving technical problems according to the problem

solving criteria

**L. Solve equations using right angle trigonometry
Competence will be demonstrated:
**J.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

J.1. you use right angle trig to solve applied technical problems

J.2. you apply the process for solving technical problems according to the problem

solving criteria

**M. Solve right triangles
Competence will be demonstrated:
**L.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

L.1. you use the angle-sum principle to compute the third angle of a triangle

L.2. you use the Pythagorean theorem to compute a side of a right triangle

L.3. you use sine, cosine, and tangent ratios to compute sides and/ or angles of right

triangles

L.4. you apply skill to applied technical problems

L.5. you apply the process for solving technical problems according to the problem

solving criteria

**N. Use the trigonometric functions of any angle
Competence will be demonstrated:
**M.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating

this competency

**Criteria - Performance will be satisfactory when:**

M.1. you write the signs of the trig functions in all 4 quadrants

M.2. you find the value or trig function for an angle / value greater than 90 degrees

M.3. you define a radian

M.4. you apply radian measure to arcs, areas of sectors, and angular velocity

M.5. you define a vector

M.6. you add vectors by components

M.7. you apply skill to applied technical problems

M.8. you apply the process for solving technical problems according to the problem

solving criteria

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