Catalog Description: This course assists students in becoming familiar with certain mathematical topics: sets, logic, different numeration systems, number theory, the real numbers and their properties, mathematical systems, equations, inequalities, graphs, and functions.
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Semester Credit Hours: 3 Lecture Hours per Week: Contact Hours per Semester: 48 State Approval Code: 2701015100
Course Subject/Catalog Number: MATH 1332
Course Title: Contemporary Mathematics I
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 apply strategies for solving problems.
To apply the basic concepts of set theory.
To analyze arguments with truth tables and Euler diagrams.
To convert between number bases.
To apply properties of real numbers.
To solve application problems involving decimals and percents.
To apply the basic concepts of algebra.
To graph functions.
To solve systems of equations.
To solve systems of inequalities.
Course Content:
Students will be required to do the following:
Problem Solving
Solve problems by inductive reasoning.
Investigate number patterns.
Utilize strategies for problem solving.
Read graphs.
Set Theory
Know symbols and terminology of set theory.
Use Venn diagrams.
Perform set operations.
Find Cartesian products.
Calculate cardinal numbers.
Interpret survey results.
Identify infinite sets and their cardinalities.
Logic
Use truth tables and Euler diagrams to analyze arguments.
Numeration and Mathematical Systems
Convert between Hindu-Arabic numeral form and historical numerical
forms.
Perform arithmetic operations in the Hindu-Arabic system.
Convert between number bases.
Use the properties of finite mathematical systems and groups.
Number Theory
Identify prime and composite numbers.
Find the greatest common factor and least common multiple.
Perform clock arithmetic calculations.
Apply the concepts of modular systems.
Real Numbers
Order real numbers on the number line.
Calculate absolute value.
Apply properties of real numbers to perform operations and solve application
problems.
Express rational and irrational numbers as decimals.
Solve application problems involving decimals and percents.
Algebra
Solve linear equations.
Solve application problems involving linear equations.
Write models and solve application problems involving linear functions.
Write models and solve application problems involving quadratic functions.
Write models and solve application problems involving exponential and
logarithmic functions.
Systems of Equations
Solve systems of equations.
Solve application problems involving systems of equations.
Solve systems of linear inequalities.
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:
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