2010 Catalog - Delaware County Community College

134 COURSE DESCRIPTIONS
MAT 121 Modern College
Mathematics II
This course is similar to Modern College Mathematics I
in design and use as a mathematics elective. It may be
taken before Modern College Mathetmatics I.
Upon successful completion of this course, students
should be able to:
• Apply techniques and formulas to solve problems
involving permutations and combinations.
• Use the definitions, axioms, and theorems of probability
to solve problems.
• Use statistical measures, graphs, and normality to
analyze a distribution.
• Plus, one of the following competencies:
• Analyze various mathematical systems including the
integers mod m using the cumulative group properties.
• Use the concepts and theorems of elementary number
theory to solve problems.
• Solve problems involving the metric system.
• Use the concepts and formulas of elementary geometry
to solve problems.
• Use the computer to solve problems in the
competencies covered.
Prereq. MAT 060
3 Credits 3 Weekly Lecture Hours
MAT 125 Mathematics for Elementary
Teachers I
This course emphasizes both the clear understanding of
mathematical ideas and, especially, the ability to
communicate these ideas to elementary school children.
Using various mathematical models this course covers
the following topics: sets, whole numbers, numeration,
estimation, number theory, fractions, decimals, integers
and proportions.
Upon successful completion of this course, students
should be able to:
• Utilize the key mathematical processes of communicating,
reasoning, solving problems and making connections.
• Demonstrate an understanding of structure, properties
and operations in the whole number system.
• Utilize mental computation and estimation techniques.
• Demonstrate an understanding of basic number theory
concepts and processes.
• Demonstrate an understanding of structures, properties
and operations in the system of integers.
• Demonstrate an understanding of properties and
operations with fractions.
• Solve problems using ratios, proportions and percents.
Prereq. MAT 060
3 Credits 3 Weekly Lecture Hours
MAT 126 Mathematics for Elementary
Teachers II
As a continuation of Mathematics for Elementary Teachers I,
this course emphasizes both the clear understanding of
mathematical ideas and the ability to communicate these
ideas to elementary school children. Topics include data
analysis, probability, measurement and geometry in two
and three dimensions. This course is designed primarily
for students planning to major in elementary education
but may be elected by other education majors.
Upon successful completion of this course, students
should be able to:
• Collect, organize, analyze and interpret statistical data.
• Solve probability problems.
• Use geometric shapes and patterns to describe real
world phenomena.
• Demonstrate an understanding of the concept of
measurement.
• Use triangle congruence and similarity.
• Analyze lines and circles using coordinate geometry.
• Use transformations to solve geometric problems.
Prereq. MAT 125
3 Credits 3 Weekly Lecture Hours
MAT 130
Finite Mathematics
This course is designed primarily (but not exclusively) for
Business Administration students. Topics include graphing
lines and linear inequalities, solving systems of linear
equations, matrices, linear programming, set theory, probability,
counting principles and applications from management
and economics.
Upon successful completion of this course, students
should be able to:
• Analyze the mathematical properties of lines in the plane.
• Perform operations on matrices.
• Solve 2 x 2 and 3 x 3 systems of linear equations.
• Find the optimal solution of a linear programming
problem using the graphing method for two variables
and the simplex procedure.
• Use the principles of set theory and counting to solve
probability problems.
• Apply the mathematical properties of lines and matrices
to break-even analyses, economic equilibrium problems,
and other business and economic problems.
Prereq. MAT 060
4 Credits 4 Weekly Lecture Hours
MAT 131
Elementary Calculus
This course is designed primarily (but not exclusively)
for Business Administration students. Topics include
functions, limits, differentiation and integration. Applications
include maxima-minima and problems in management
and economics.
Upon successful completion of this course, students
should be able to:
• Solve algebraic problems prerequisite to calculus.
• Take the derivatives of certain algebraic functions and
products, quotients and compositions of such functions.
• Apply the concepts of differential calculus to
optimization problems.
• Graph and take the derivatives of exponential and
logarithmic functions.
• Integrate exponential, certain algebraic functions and
some combinations of these functions using substitution.
Prereq. MAT 130 or MAT 140
4 Credits 4 Weekly Lecture Hours
MAT 135
Business Precalculus
This course is designed primarily (but not exclusively) for
Business Majors. Topics include graphing and solving
problems using linear, quadratic, rational, square foot, log,
and exponential functions, solving systems of equations,
performing operations on matrices, linear programming,
and applications from business and economics.
Upon successful completion of this course, students
should be able to:
• Graph and solve problems using linear, quadratic,
polynomial, rational, and square root functions.
• Graph and solve problems involving the log and
exponential functions.
• Perform operations on matrices.
• Find the optimal solution of a linear programming
problem using the graphing method of two variables.
• Apply the mathematical properties of lines, matrices
and exponential and log functions to business and
economic problems.
Prereq. MAT 100
3 Credits 3 Weekly Lecture Hours
MAT 136
Business Calculus
This course is designed primarily (but not exclusively) for
Business majors. Topics include limits differentiation, and
integration. Applications include maxima-minima and
problems in management and economics.
Upon successful completion of this course, students
should be able to:
• Calculate the derivatives of certain algebraic functions,
and products, quotients and compositions of such functions.
• Apply the concepts of calculus to optimization problems
and consumer and producer surplus.
• Calculate the derivatives of exponential and logarithmic
functions.
• Integrate exponential, certain algebraic functions, and
some combinations of these functions using substitution.
Prereq. MAT 135
3 Credits 3 Weekly Lecture Hours
MAT 140 College Algebra and
Trigonometry I
Topics covered in this course are from both College Algebra
and Trigonometry and include polynomials, rational
expressions, functions (linear, quadratic, trigonometric)
and theory of equations. This course is intended primarily
for those students who are majoring in science, engineering
or mathematics. Together with College Algebra and
Trigonometry I and College Algebra and Trigonometry II
(MAT 141), it prepares students for Calculus I (MAT 160).
Upon successful completion of this course, students
should be able to:
• Perform basic operations on real numbers, polynomials,
rational expressions and radicals.
• Solve linear, absolute value, radical, and quadratic
equations and inequalities and radical equations.
• Perform operations in the rectangular coordinator system.
• Define, evaluate and graph functions.
• Solve problems in plane trigonometry.
Prereq. MAT 100
3 Credits 3 Weekly Lecture Hours
MAT 141 College Algebra and
Trigonometry II
A course that includes topics from College Algebra and
Trigonometry dealing with functions (rational, exponential,
logarithmic, and circular), theory of equations and operations
on complex numbers. This course is a continuation of College
Algebra and Trigonometry I and primarily intended for
students in science, engineering, and those preparing for
Calculus I.
Upon successful completion of this course, students
should be able to:
• Perform operations involving functions.
• Solve problems involving polynomials and rational functions.
• Solve verbal and non-verbal problems involving logarithmic
exponential, and circular trigonometric functions.
• Simplify algebraic expressions involving complex numbers.
Prereq. MAT 140
3 Credits 3 Weekly Lecture Hours
MAT 150
Precalculus
This course is designed to prepare students for Calculus I.
It includes the study of polynomial, rational, exponential,
logarithmic and trigonometric functions, and the complex
number system. Emphasis is placed on the graphing
of functions.
Upon successful completion of this course, students
should be able to:
• Perform the operations necessary to use polynomial,
rational, exponential, logarithmic and trigonometric
functions in the real-number system.
• Use the polynomial, rational, exponential, logarithmic
and trigonometric functions in the solution of equations,
inequalities and applied problems.
DELAWARE COUNTY COMMUNITY COLLEGE