MATH1324 - Finite Mathematics with Business Applications
Catalog Description: Includes such topics as sets, functions, linear and quadratic inequalities, linear programming, the simplex method, matrix algebra, counting techniques, probability, and decision making. A computer component may be included.
Lecture Hrs = 3, Lab Hrs = 0
Semester Credit Hours: 3 Lecture Hours per Week: Contact Hours per Semester: 48 State Approval Code: 2703015200
Course Subject/Catalog Number: MATH1324
Course Title: Finite Mathematics With Business Applications
Core Curriculum: State Criteria
Basic Intellectual Competencies (Those marked with a √ reflect the state-mandated
competencies taught in this course.)
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 use linear, quadratic, polynomial, exponential, piecewise,
rational and logarithmic functions to solve applied problems relating to
business and the natural sciences.
To solve systems of linear equations by elimination, substitution,
the Gauss-Jordon method, graphically and by the use of matrices
To apply matrix algebra to solve applied problems
To solve maximization and minimization linear programming problems
by the graphical method and by the Simplex method
To analyze the graphs of linear, quadratic, polynomial, exponential,
piecewise, rational and logarithmic functions as they relate to applied
problems of business and the natural sciences
To solve problems involving simple and compound interest, present
and future value of annuities, sinking funds and amortization of loans
To apply the counting techniques of combinations, permutations
and the fundamental counting principal to determine probabilities and odds
To use descriptive statistical methods to organize, display and
analyze sets of data
Course Content:
Students will be required to do the following:
LINEAR AND QUADRATIC EQUATIONS AND FUNCTIONS
Solve linear and quadratic equations in one variable.
Graph linear and quadratic equations.
Define Function and interpret the graphs of functions.
Solve systems of linear equations with two or more variables.
Utilize techniques of solving systems of linear and quadratic equations
to solve problems involving supply and demand, revenue, cost and
profit, break-even analysis and market equilibrium.
Write the equation of a linear relation.
SPECIAL FUNCTIONS
Graph rational and piece-wise functions.
Interpret the graphs of rational and piece-wise functions.
MATRICES
Use the operations of addition, subtraction, scalar multiplication
and multiplication of matrices to solve applied problems.
Solve systems of linear equations with unique and non-unique solutions
by Gauss-Jordan elimination.
Determine the inverse of a square matrix.
Utilize the inverse of a square matrix to solve a system of linear
equations.
INEQUALITIES AND LINEAR PROGRAMMING
Graph linear inequalities in two variables.
Solve linear programming problems by graphical methods.
Apply the Simplex Method to solve Maximization and Minimization problems.
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Solve, graph and interpret the graphs of exponential and logarithmic
functions.
Apply the rules of logarithms to simplify logarithmic expressions and
to solve exponential equations.
Solve applications of exponential and logarithmic functions.
MATHEMATICS OF FINANCE
Solve problems involving simple interest and compound interest.
Solve problems involving ordinary annuities, annuities due, present
and future value of annuities, installment loans, amortization, and
sinking funds.
PROBABILITY
Apply the counting techniques of combinations, permutations and the
fundamental counting principal to determine probabilities and odds
of one-trial experiments.
Determine the difference between events which are mutually exclusive
and events which are not.
Evaluate problems of conditional probability.
Use Bayes' Formula to solve problems.
Create probability trees.
Utilize Markov chains in the analysis of price movements, consumer
behavior or other processes in business and the life and social sciences.
Determine the probability of a Binomial probability experiment (or
Bernoulli experiment).
Determine the mean, median, mode, variance and standard deviation of
a set of data.
Identify discrete probability distributions.
Compute the expected value for an experiment.
Find the probability that normally distributed scores lie in a certain
interval.
Convert normal distribution scores to z-scores.
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