OUTCOMES BASED LEARNING MATRIX
Course: MATH144 Telecommunications Technical
Mathematics II
Department: Mathematics
Course Description: This is the second course in a two-semester
sequence of intermediate algebra and trigonometry with technical applications.
Topics include oblique triangles, graphs of sinusoidal functions, a review of
linear and quadratic equations, complex numbers, number bases, inequalities,
exponents, exponential and logarithmic functions, proportions and variation,
statistics, and an introduction to calculus. The scientific calculator and a
CAS computer software package will be used throughout the course.
Prerequisite:
Telecommunications
Technical Mathematics I (MATH143)
Corequisite: Enrollment in Verizon Next Step Program
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COURSE OUTCOMES |
OUTCOMES ACTIVITIES |
ASSESSMENT TOOLS |
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At
the end of this course, students will be able to |
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Use the Law of Sines
and the Law of Cosines appropriately in order to solve oblique triangle
problems and related applications in this course and other courses in their
program. |
1. Solve triangles using
the Law of Sines. (CT,QS,TS) 2. Solve triangles using
the Law of Cosines. (CT,QS,TS) 3. Solve related
application problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Graph sinusoidal
functions in order to apply the information from the graphs to solve
application problems found in this course and other courses in their program. |
1. Given a function in
the form 2. Find an equation for a
given sinusoidal graph. (CT,QS) 3. Solve related
application problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Solve linear and
quadratic equations in order to solve applications problems. |
1. Solve linear
equations. (CT,QS) 2. Solve quadratic
equations by factoring and by the quadratic formula. (CT,QS,TS) 3. Solve equations
quadratic in form. (CT,QS,TS) 4. Solve equations using
a CAS. (CT,QS,TS) 5. Solve related
applications problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Perform arithmetic
operations on complex numbers in order to apply these skills to solve related
applications problems. |
1. Add, subtract,
multiply, and divide complex numbers in rectangular form by hand and by using
the built-in features of an engineering calculator or CAS. (CT,QS,TS) 2. Multiply and divide
complex numbers in polar form by hand and by using the built-in features of
an engineering calculator or CAS. (CT,QS,TS) 3. Convert among rectangular
form, polar form, and exponential form by hand and by using the built-in
features of an engineering calculator or CAS. (CT,QS,TS) 4. Apply DeMoivre’s
Theorem to find the n nth roots of
a complex number. (CT,QS,TS) 5. Solve related
applications problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Demonstrate an
understanding of the binary and hexadecimal numeration systems in order to
solve related problems in this course and other courses in their program. |
1. Convert back and forth
between decimal and binary numeration by hand and by using the built-in
features of an engineering calculator or CAS. (CT,QS,TS) 2. Convert back and forth
between decimal and hexadecimal numeration by hand and by using the built-in
features of an engineering calculator or CAS. (CT,QS,TS) 3. Convert back and forth
between binary and hexadecimal numeration. (CT,QS,TS) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Solve
linear, quadratic, and rational inequalities in order to solve applications
problems. |
1. Solve linear
inequalities algebraically. (CT,QS) 2. Solve quadratic
inequalities algebraically. (CT,QS) 3. Solve rational
inequalities algebraically. (CT,QS) 4. Solve inequalities
using a CAS. (CT,QS,TS) 5. Solve related
applications problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
, in degrees or radians, find the amplitude, period, and
displacement and graph through at least one period by hand and by using a
CAS. (CT,QS,TS)|
Demonstrate an
understanding of the properties of exponents in order to solve problems in
this course and other courses in their program. |
1. Use the properties of
exponents to add, subtract, multiply, and divide exponential expressions.
(CT,QS) 2. Simplify expressions
involving negative exponents. (CT,QS) 3. Use a CAS to perform
operations on exponential expressions. (CT,QS,TS) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Demonstrate an
understanding of the properties and graphs of exponential and logarithmic
functions in order to solve problems in this course and other courses in
their program. |
1. Use an engineering
calculator or CAS to evaluate exponential expressions. (CT,QS,TS) 2. Convert between
exponential and logarithmic notation. (CT,QS,TS) 3. Use an engineering
calculator or CAS to evaluate logarithmic expressions. (CT,QS,TS) 4. Given an exponential
function, find the domain, range, intercepts, and asymptote and graph by hand
and by using a CAS. (CT,QS,TS) 5. Given a logarithmic
function, find the domain, range, intercepts, and asymptote and graph by hand
and by using a CAS. (CT,QS,TS) 6. Solve exponential and
logarithmic equations by hand and by using a CAS. (CT,QS,TS) 7. Solve related
applications problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Solve proportion and
variation problems in order to apply this knowledge in other courses in their
program. |
1. Solve direct variation
problems. (CT,QS,R) 2. Solve inverse
variation problems. (CT,QS,R) 3. Solve joint variation
problems. (CT,QS,R) 4. Solve related
application problems. (CT,QS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Demonstrate an
understanding of the basics of statistics in order to apply this knowledge in
this course and other courses in their program. |
1.
Construct frequency distributions. (CT,QS,R) 2.
Construct histograms by hand and by using technology.
(CT,QS,TS,R) 3.
Find the mean, median, mode, range, and standard deviation
of a given set of data by hand and by using technology. (CT,QS,TS,R) 4.
Solve problems involving the normal distribution using
tables and using technology. (CT,QS,TS,R) 5.
OPTIONAL: Solve
statistical process control problems. (CT,QS,TS,R) 6.
OPTIONAL: Solve
linear regression problems. (CT,QS,TS,R) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
|
Demonstrate an
understanding of the basics of calculus from an intuitive point of view to
gain an appreciation for the role calculus plays in physics and other courses
in their program. |
1.
Use a graph to illustrate the tangent line problem.
(CT,QS) 2.
Differentiate polynomial functions. (CT,QS) 3.
Find the equation of a line tangent to the graph of a
polynomial function at a given point. (CT,QS) 4.
Use a graph to illustrate the area problem. (CT,QS) 5.
Integrate polynomial functions. (CT,QS) 6.
Solve area problems for polynomial functions. (CT,QS) 7.
Use a CAS to differentiate and integrate polynomial
functions. (CT,QS,TS) |
1.
Written quiz (W,R,CT,Q) 2.
Written exam (W,R,CT,Q) 3.
Homework journal (W,R,CT,Q) 4.
Hand-in assignments (W,R,CT,Q) 5.
In-class problems (CT,QS,R) 6.
Group work (CT,QS,R) 7.
Mediated Learning (R,CT,QS,TS,W) |
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Use an engineering calculator,
a computer algebra system (CAS), and other applications software where
appropriate. |
Referenced above |
Referenced
above |
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Demonstrate the
umbrella competencies of customer focus, quality, teamwork, project
leadership, problem solving, technology, and service delivery in order to
increase success in the workplace. |
Referenced above |
Referenced
above |
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Strengthen
Core Competencies** in order to increase success in this and other courses
and in the workplace. |
Referenced
above |
Referenced
above |
**Indicate
the Core Competencies that apply to the outcomes activities and assessment
tools: Critical Thinking (CT); Technology Skills (TS); Oral Communications
(OC); Quantitative Skills (QS); Reading (R); Writing (W).