COURSE PROFILE: GENERAL EDUCATION COURSES
1.
Course Title: Applications of College Mathematics
Short Title:
2.
Course Number: MTH: 161
3.
Course Level: 100-199 Beginning level credit courses
4.
Course Description:
This college-level mathematics course is offered for students pursuing non-STEM (Science, Technology,
Engineering, and Mathematics) degrees and career paths. The course focuses on mathematical reasoning
and the solving of real-life problems. The following six topics will be covered: sets, logic, consumer
mathematics, probability, statistics, and modeling with global data. This course is designed to fulfill general
education requirements.
5.
Credit Hours: 4.00
6.
Weekly contact hours:
7.
a.
Lecture Hours: 4.00
b.
Lab Hours: 0.00
c.
Studio Hours: 0.00
d.
Activity Hours: 0.00
e.
Clinical Hours: 0.00
f.
Workplace Learning Hours: 0.00
g.
Other Hours: 0.00
Requisites:
Prerequisite: MTH 140 with a minimum grade of C or
Prerequisite: satisfactory score on placement test and
Prerequisite: reading proficiency.
Prerequisite: Reading Proficiency
8.
Course profile acceptance in the general education category:
o
9.
Mathematics
Explain why this course should be considered as a general education course. (See general education
requirements).
This course offers students the opportunity to explore multiple interesting applications of
mathematics, giving them a broad foundation that prepares them for a variety of non-STEM areas
of study. The rigor of this course is equivalent to that of the General Education foundational
course, College Algebra.
10. Upon successful completion of the course, the student will know or understand:
0.
the interpretation of set notation and terminology, computation with set operations, and the
construction, interpretation and application of Venn Diagrams.
1.
the interpretation of and relationship between logical statements, the analysis of logical statements
by using truth tables, and the determination of the validity of arguments.
2.
the calculation of sales tax and interests; the computation and tracking of stock values by using
common valuation tools; the determination of the value of annuities; the calculation and
comparison of monthly payments and interest cost for installment loans.
3.
computations involving the basic rules of counting and the application of these rules when
calculating probabilities; the calculation of odds, expected value and conditional probability; the
interpretation of different types of events and the computation of probability for these events.
4.
the computation and interpretation of basic descriptive statistics for central tendency and
dispersion for both populations and samples, procedures for collecting representative random
samples from a population, and the representation and interpretation of linear relationships using
correlation and simple linear regression.
5.
the gathering of global data and the creation of mathematical models by means of linear
regression.
11. Upon successful completion of the course, the student will demonstrate the ability to:
0.
describe a set: by using the roster form, by using set builder notation, and verbally.
1.
define and apply terms and mathematical symbols related to sets.
2.
determine the complement, union, and intersection of sets.
3.
construct and interpret Venn diagrams with two sets and three sets and use Venn diagrams to solve
application problems.
4.
translate English sentences into symbolic form, and symbolic statements into English.
5.
construct and interpret truth tables.
6.
distinguish between valid and invalid arguments,and apply the principles of logic to ordinary
language reasoning.
7.
calculate sales tax and determine each deduction percentage of the gross income.
8.
calculate simple and compound interest on loans and saving accounts.
9.
calculate and track the values of stocks, bonds and mutual funds using common valuation tools.
10. determine the value of, and the interest gained from, an annuity.
11. calculate and compare the monthly payment and interest costs for installment loans.
12. solve problems involving the counting principle, permutations and combinations.
13. compute and distinguish between empirical probability and theoretical probability.
14. compute probability using the counting principle, permutations and combinations.
15. calculate odds, and use odds to determine whether a game is fair.
16. compute expected value.
17. distinguish between mutually exclusive events and events that are not mutually exclusive,
distinguish between dependent and independent events, and compute probability for these types of
events.
18. compute conditional probabilities.
19. differentiate between populations and samples and apply simple random sampling techniques.
20. compute, interpret and compare statistical measures of central tendency, dispersion, and position
in an ordered array.
21. compute and interpret probabilities and positions using the normal distribution.
22. construct and compare measures of linear correlation using scatter plots and correlation
coefficients.
23. perform linear regression on a given data set using technology.
24. identify and recognize different types of functions including non-linear functions.
25. graph different types of functions including non-linear functions.
26. gather data of global interest and use the data and technology to develop mathematical models by
means of regression.
12. Expected knowledge/skills goal reinforcement objectives
Mathematics
Competency
SLO
A
5, 7
B
22
C
4
D
27
E
F
G
27
23, 24
27
Test, Quiz, Oral
Test, Quiz, Oral
Test, Quiz, Oral
Test, Quiz, Oral
Test, Quiz, Oral
presentation, Written
Test, Quiz, O
presentation, Written
presentation, Written
presentation, Written
Test, Quiz,
presentation, Individual
assignment, Individual
presentation, W
assignment, Individual
assignment, Individual
assignment, Individual
Oral
project, Group project,
project, Group project,
assignment, Ind
project, Group project,
project, Group project,
project, Group project,
presentation,
Visual/poster
Artistic rendering,
project, Group p
Visual/poster
Visual/poster
Visual/poster
Assessment Written
presentation,
Visual/poster
Visual/pos
presentation,
presentation,
presentation,
assignment,
Multimedia
presentation,
presentatio
Multimedia
Multimedia
Multimedia
Problem
presentation/production,
Multimedia
Multimedi
presentation/production,
presentation/production,
presentation/production,
sets
Group presentation,
presentation/production,
presentation/pro
Group presentation,
Group presentation,
Group presentation,
Portfolio
Group presentation,
Group present
Problem sets
Problem sets
Problem sets
Portfolio
Social and Behavioral Sciences
Competency
A
B
C
D
E
F
G
SLO
Assessment
Life and Physical Sciences
Competency
A
B
C
D
E
F
SLO
Assessment
Humanities and Fine Arts
Competency
A
B
C
D
E
F
G
SLO
Assessment
Interdisciplinary Studies
Competency
A
B
C
D
E
F
G
SLO
Assessment
Global/Intercultural
Competency
A
B
C
D
SLO
Assessment
Valuing
Competency
A
B
C
D
E
F
G
SLO
23
Test, Quiz, Oral
presentation, Written
Assessment
assignment, Individual
project, Group project,
Mathematics
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Problem sets
Higher Order Thinking
Competency
SLO
A
B
C
15
Test, Quiz, Oral
presentation, Written
assignment, Individual
project, Group project,
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Problem sets
A
B
27
C
Assessment
Communicating
Competency
SLO
Oral presentation,
Written assignment,
Individual project,
Group project,
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Portfolio
Assessment
Competency
SLO
A
B
Assessment
D
3
E
F
Managing Information
D
E
F
Test, Quiz, Oral
presentation, Written
assignment, Individual
project, Group project,
Group presentation,
Portfolio
C
6
Test, Quiz, Oral
presentation, Individual
project, Group project,
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Problem sets
13. Minimum Requirements:
.
written tests administered in class, including a comprehensive final exam.
a.
homework concentrating on the use of vocabulary and the methods discussed in class.
G
27
Oral presenta
Written assign
Individual pro
Group proje
Visual/pos
presentatio
Multimedi
presentation/pro
Group present
Portfolio, Culm
project