Download The student will be able to - College of Micronesia

College of Micronesia
PO Box 159
Pohnpei FM 96941
Course title: Technical math II
Department and number: MS106
Course description: This course is a continuation of MS104 and is designed to provide
vocational students with the mathematical tools needed to succeed in selected higher level
technical occupational programs. Topics covered include exponents and monomials,
polynomials, roots and radicals, graphing trigonometric functions, angle formulas, and the
applications of trigonometry, vectors, complex numbers and logarithms.
Prepared by:
Lecture
Laboratory
Alan L. Alosima
Hours/Week
No. Of Weeks
3
x
16
3
x
16
State:
=
=
Total Hours
48
48
Total Semester Credits
Purpose of Course
Degree Requirement
Degree Elective
Advanced Certificate
Certificate
Remedial
Other (Workshop)
Pohnpei Campus
=
=
Semester Credits
3
1
4
√
This course also meets PLO#(S): NA
Prerequisite Course: MS 104 Technical Math I
_______________________________________
Signature, Chairperson,
Curriculum & Assessment Committee
___________________________________
Signature, VPIA, COM-FSM
MS106 TECHNICAL MATH II
___________________________
Date Approved
________________________________
Date Approved
RECOMMENDED BY CAC: 12/13/11
APPROVED BY VPIA: 12/19/11
A. PROGRAM LEARNING OUTCOMES (PLOs):
The student will be able to:
1. Demonstrate understanding and apply mathematical concepts in problem solving and in day
to day activities.
2. Present and interpret numeric information in graphic forms.
3. Communicate thoughts and ideas effectively using proper mathematical terms.
B. STUDENT LEARNING OUTCOMES (SLOs) - GENERAL:
The student will be able to:
1. Analyze statistical data.
2. Graph linear equations, find the slope of a line, and find the equation of a line.
3. Solve systems of equations by graphing, substitution method, and addition method.
4. Define and describe the laws of exponents and perform basic operations with polynomials.
5. Simplify radicals and solve equations using one and two radical expressions.
6. Factor polynomials.
7. Define exponential and logarithmic functions and describe their relationship. Apply the
change of base formula.
8. Perform operations with vectors, graph polar equations, and perform rectangular to polar
conversions and vice versa.
9. Graph trigonometric functions.
10. Define the applications of trigonometry.
SLO
1
2
3
4
5
6
7
8
9
10
PLO 1
DM
DM
IDM
DM
IDM
IDM
IDM
IDM
DM
DM
PLO 2
ID
ID
ID
ID
ID
IDM
IDM
ID
ID
ID
PLO 3
D
ID
ID
D
ID
ID
ID
ID
ID
ID
I = Introduced
D = Demonstrated
M = Mastered
MS106 TECHNICAL MATH II
RECOMMENDED BY CAC: 12/13/11
APPROVED BY VPIA: 12/19/11
C. STUDENT LEARNING OUTCOMES - SPECIFIC:
The student will be able to:
General SLO 1. Analyze statistical data.
Student Learning Outcomes
1.1 Describe the role of statistics in industry.
1.2 Explain the concepts of mean, median, mode,
standard deviation, percentiles and quartiles.
1.3 Interpret the analysis of statistical data.
1.4 Describe the various statistical diagrams.
1.5 Contrast the various statistical histograms.
Assessment Strategies
Written tests and oral recitations
Written quizzes and homework
General SLO 2. Graph linear equations, find the slope of a line, and find the equation of a line.
Student Learning Outcomes
Assessment Strategies
2.1 Describe the rectangular coordinate system.
2.2 Locate points on the rectangular coordinate system.
Written tests and oral recitations
2.3 Locate the coordinates of points on the rectangular
Written quizzes and homework
coordinate system.
2.4 Graph linear equations.
2.5 Find the slope of a line.
2.6 Find the equation of a line.
General SLO 3. Solve systems of equations by graphing, substitution method, and addition method.
Student Learning Outcomes
Assessment Strategies
3.1 Define a system of equations.
3.2 Solve systems of equations by graphing.
.
3.3 Identify consistent, inconsistent, and dependent
systems by their graphs.
Written tests and oral recitations
3.4 Solve systems of equations by substitution.
Written quizzes and homework
3.5 Identify consistent, inconsistent, and dependent
systems by the results of substitution.
3.6 Solve systems of equations by addition.
3.7 Identify consistent, inconsistent, and dependent
systems by the results of addition.
General SLO 4. Define and describe the laws of exponents and perform basic operations with
polynomials.
Student Learning Outcomes
Assessment Strategies
4.1 Define exponents and the laws of exponents.
Written tests and oral recitations
4.2 Define and describe monomials and polynomials.
Written quizzes and homework
4.3 Raise a power and a product or a quotient to a power.
4.4 Add, subtract, multiply, and divide monomials.
4.5 Add, subtract, multiply, and divide polynomials.
MS106 TECHNICAL MATH II
RECOMMENDED BY CAC: 12/13/11
APPROVED BY VPIA: 12/19/11
General SLO 5. Simplify radicals and solve equations using one and two radical expressions.
Student Learning Outcomes
Assessment Strategies
5.1 Factor radicand terms.
5.2 Simplify radicals using Product Property of Roots and
Written tests and oral recitations
Quotient Property of Roots.
Written quizzes and homework
5.3 Rationalize denominators.
5.4 Multiply, divide, add and subtract radicals.
5.5 Solve equations containing radical expressions.
5.6 Define and describe complex numbers.
5.7 Perform the basic operations with complex numbers.
General SLO6. Factor polynomials.
Student Learning Outcomes
6.1 Factor by finding the greatest common factor.
6.2 Factor by grouping.
6.3 Factor trinomials.
6.4 Factor by recognizing special binomial factors.
6.5 Solve polynomial equations by factoring.
6.6 Define quadratic equations and quadratic formulas.
6.7 Solve equations using the quadratic formula.
6.8 Solve word problems.
Assessment Strategies
Written tests and oral recitations
Written quizzes and homework
General SLO 7. Define exponential and logarithmic functions and describe their relationship. Apply
the change of base formula.
Student Learning Outcomes
Assessment Strategies
7.1 Define the exponential function.
7.2 Describe the graph of the exponential function.
7.3 Evaluate exponential functions.
Written tests and oral recitations
7.4 Define the logarithmic functions.
Written quizzes and homework
7.5 Describe the relationship exponential and
logarithmic functions.
7.6 Describe the graph of the logarithmic functions.
7.7 Use the properties of logarithms.
7.8 Apply the change of base formula.
GENERAL SLO 8. Perform operations with vectors, graph polar equations, and perform rectangular
to polar conversions and vice versa.
Student Learning Outcomes
Assessment Strategies
8.1 Define vectors and describe vector notation.
8.2 Determine the magnitude and direction of a vector.
Written tests and oral recitations
8.3 Determine the horizontal and vertical components
Written quizzes and homework
of a vector.
8.4 Add, subtract, and multiply vectors.
8.5 Define and graph polar coordinates
8.6 Perform rectangular to polar conversions and
vice-versa.
MS106 TECHNICAL MATH II
RECOMMENDED BY CAC: 12/13/11
APPROVED BY VPIA: 12/19/11
8.7 Define j-factor and write vectors in complex form.
General SLO 9. Graph trigonometric functions.
Student Learning Outcomes
Assessment Strategies
9.1 Identify the basic graphs for the six trigonometric
functions.
9.2 Define period and amplitude.
9.3 Define the period and amplitude of sine and cosine
Written tests and oral recitations
functions.
Written quizzes and homework
9.4 Determine the amplitude of the sine and cosine
functions.
9.5 Find the change in the period of a trigonometric
function.
9.6 Determine the phase shift of a trigonometric function.
General SLO 10. Define the applications of trigonometry.
Student Learning Outcomes
Assessment Strategies
10.1 Identify an oblique triangle.
10.2 Find the missing parts of an oblique triangle using
the law of sines.
Written tests and oral recitations
10.3 Describe the three possibilities resulting from
Written quizzes and homework
the ambiguous case.
10.4 Find the missing parts of an oblique triangle using
the law of cosines .
10.5 Solve an oblique triangle using the laws of sines
and cosines
10.6 Determine the area of an oblique triangle using
trigonometric relationships.
D. COURSE CONTENT
I. introduction to statistics
II. algebra
III. complex numbers
IV. logarithms
V. vectors
VI. graphing polar equations
VII. trigonometry
E. METHODS OF INSTRUCTION
Computer Aided Instruction
F. REQUIRED TEXT AND COURSE MATERIALS
Cleaves, Cheryl, and Margie Hobbs. College Mathematics: 2009 Update with MyMathLab.
Upper Saddle River, New Jersey: Prentice Hall, 2009 (or most recent edition)
G. REFERENCE MATERIALS
None
MS106 TECHNICAL MATH II
RECOMMENDED BY CAC: 12/13/11
APPROVED BY VPIA: 12/19/11
H. INSTRUCTIONAL COSTS
None
I. EVALUATION
The student must achieve 70% mastery or a “C” grade to pass this course.
J. CREDIT BY EXAMINATION
None
MS106 TECHNICAL MATH II
RECOMMENDED BY CAC: 12/13/11
APPROVED BY VPIA: 12/19/11