Catalog Description: A study of collection and tabulation of data, bar charts, graphs, sampling, measures of central tendency and variability, correlation, index numbers, statistical distributions, probability, linear regression, and applications to various fields of study.
Semester Credit Hours: 4 Lecture Hours per Week: Contact Hours per Semester: 64 State Approval Code: 2705015100
Perspectives (Those marked with a √ reflect the state-mandated perspectives
taught in this course.)
Establish broad and multiple perspectives
on the individual in relationship to the larger society and world in which
he/she lives, and to understand the responsibilities of living in a culturally
and ethnically diversified world.
Stimulate a capacity to discuss and
reflect upon individual, political, economic, and social aspects of life in
order to understand ways in which to be a responsible member of society.
Recognize the importance
of maintaining health and wellness.
Develop a capacity to use knowledge
of how technology and science affect their lives.
Develop personal values for ethical
behavior.
Develop the ability to make
aesthetic judgments.
Use logical reasoning in problem solving.
Integrate knowledge and understand
the interrelationships of the scholarly disciplines.
Exemplary Objectives (Those marked with a √ reflect state-mandated exemplary
objectives taught in this course.)
Mathematics: The objective of the mathematics component
of the core curriculum is to develop a quantitatively literate college graduate. Every
college graduate should be able to apply basic mathematical tools in the
solution of real-world problems.
To apply arithmetic, algebraic, geometric, higher-order thinking and
statistical methods to modeling and solving real-world situations.
To represent and evaluate basic mathematical information verbally,
numerically, graphically, and symbolically.
To expand mathematical reasoning skills and formal logic to develop
convincing mathematical arguments.
To use appropriate technology to enhance mathematical thinking and
understand and to solve mathematical problems and judge reasonableness
of the results.
To interpret mathematical models such as formulas, graphs, tables
and schematics, and draw inferences from them.
To develop the limitations of mathematical and statistical models.
To develop the view that mathematics is an evolving discipline interrelated
with human culture, and understand its connections to other disciplines.
Instructional Goals and Purposes:
Lee College's instructional goals include 1) creating an academic atmosphere
in which students may develop their intellects and skills and 2) providing
courses so students may receive a certificate/an associate degree or transfer
to a senior institution that offers baccalaureate degrees.
General Course Objectives:
Successful completion of this course will promote the general student learning
outcomes listed below. The student will be able
To apply problem-solving skills through solving application problems.
To demonstrate arithmetic and algebraic manipulation skills.
To read and understand scientific and mathematical literature by utilizing
proper vocabulary and methodology.
To construct appropriate mathematical models to solve applications.
To interpret and apply mathematical concepts.
To use multiple approaches - physical, symbolic, graphical, and verbal - to
solve application problems.
Specific Course Objectives:
Upon successful completion of the course, the student will be able
To understand and use vocabulary and formulas integral to
statistics.
To construct and interpret various statistical functions and
graphs.
To identify misleading graphs.
To determine appropriate statistical tests to apply.
To use and understand probability formulas.
To use and understand confidence intervals.
To perform hypothesis testing.
To define and apply the concepts of Type I and Type II errors.
To understand the relationships between the various formulas
used in a specific area of study.
To apply and interpret the Chi-square test.
To determine and interpret the linear correlation coefficient.
To use linear regression.
To apply and interpret ANOVA.
Course Content:
Students will be required to do the following:
Basic information
Differentiate between descriptive and inferential statistics.
Classify statistical studies.
Generate random samples.
Group data appropriately.
Use a random variable.
Interpret various types of graphs portraying data distribution.
Recognize and correct misleading graphs.
Descriptive measures
Apply and interpret measures of central tendency for grouped and non-grouped
data.
Apply and interpret measures of dispersion for grouped and non-grouped
data.
Generate Boxplots and Five-Number Summaries.
Differentiate between populations and samples.
Apply descriptive measures for populations.
Probability
Define and use terms relevant to probability.
Apply and interpret rules of probability.
Construct and interpret contingency tables.
Explain joint and marginal probability.
Determine conditional probability.
Determine if events are independent or mutually exclusive.
Use appropriate counting rules to determine probability.
Distributions and Discrete random variables
Generate and interpret probability distributions.
Use discrete random variables to describe appropriate data sets or
events.
Determine the mean and standard deviation of a discrete random variable.
Apply the binomial random variable and binomial distribution appropriately.
Determine the mean and standard deviation of a binomial random variable.
Define the 'Normal Distribution'.
Generate the standard normal curve.
Determine probabilities for events in normally distributed populations.
Determine the mean and standard deviation of a normally distributed
random variable.
Interpret graphs of normal probability distributions.
Define the 'Sampling Distribution of the Mean'.
Find the mean and standard deviation of the sampling distribution of
the mean.
Confidence intervals and hypothesis testing
Discuss the nature and importance of a confidence interval.
Determine confidence intervals.
Explain how sample size affects confidence intervals.
Discuss the nature and importance of hypothesis testing.
Construct and interpret hypothesis tests.
Determine Type II Error probabilities.
Discuss and determine P-values.
Inferences for two population means and population proportions.
Apply appropriate formulas to determine inferences under various circumstances.
Determine confidence intervals for one or two population proportions.
Determine inferences for two population proportions.
Chi-Square and ANOVA
Discuss the Chi-Square distribution, goodness-of-fit test, and independence
test.
Determine inferences for a population standard deviation.
Discuss the F-distribution and ANOVA.
Perform one-way and two-way ANOVA.
Linear Regression and Correlation
Discuss the purpose of regression equations, coefficient of determination,
and linear
correlation and the relationships between these.
Find a regression equation and coefficient of determination.
Methods of Instruction/Course Format/Delivery:
Faculty may choose from but are not limited to the following methods of instruction: lecture,
discussion, Internet, video, television, demonstrations, field trips, collaboration,
readings.
Assessment:
Faculty may assign both in- and out-of-class activities to evaluate students'
knowledge and abilities. Faculty may choose from the following methods:
MATH SCIENCE & EDUCATION » MATHEMATICS » Degrees/Certificates | Courses