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804-200
Principles of Geometry......................................3 credits
An introductory college level course which provides a foundation in geometry. This
foundation is necessary for the study of analytic geometry, trigonometry, or calculus. The
class covers the facts of geometry, cultivates geometric intuition, and fosters the
practice of deductive reasoning. Prerequisite: Adequate skill in basic arithmetic.
804-201
Intermediate Algebra............................4 credits
The study of real and complex numbers (their construction and resulting properties);
simplifying and factoring algebraic expressions using fundamental laws and order of
operations; solving first and second degree equations and inequalities in one variable;
solving exponential and logarithmic equations; graphing first degree and second degree
equations and inequalities in two variables; solving systems of equations; working with
fractional exponents and radicals; functions. Successful completion of this course allows
students to continue on with either College Algebra or Quantitative Reasoning.
804-202
Intermediate Algebra, Part I............................3 credits
The study of real numbers (their construction and resulting properties); simplifying
algebraic expressions using fundamental laws and order of operations; solving first degree
equations and inequalities in one variable; introduction to functions; graphing first
degree equations and graphing inequalities in two variables; operations on polynomials.
Continued on in 804-203.
804-203
Intermediate Algebra, Part II ............................3 credits
The study of complex numbers (their construction and resulting properties); simplifying
algebraic expressions using fundamental laws and order of operations; solving second
degree equations and inequalities in one variable; solving exponential and logarithmic
equations; graphing second degree equations and inequalities in two variables; solving
systems of equations; working with fractional exponents and radicals; functions.
Successful completion of this course allows students to continue on with either College
Algebra or Quantitative Reasoning.
804-211
Quantitative Reasoning............................3 credits
This course is intended to develop analytic reasoning and the ability to solve
quantitative problems. Topics to be covered may include: construction & interpretation
of graphs; descriptive statistics; geometry & spatial visualizations; math of finance;
functions & modeling; probability; and logic. Appropriate use of units and dimensions,
estimates, mathematical notation and available technology will be emphasized throughout
the course. Meets four times per week. Prerequisite: A) Appropriate score on placement
exam; B) 2 years of high school algebra; C) Grade of C or better in Intermediate Algebra
(or Intermediate Algebra Parts I & II); or D) courses equivalent to B) or C). Note:
This course satisfies Part A of the Quantitative Reasoning requirement for the UW system
and is intended for students who do not plan to take any further mathematics.
804-212
College Algebra...............................3 credits
Includes fundamentals of topics covered in Intermediate Algebra with a more careful look
at mathematical detail and a greater emphasis on the function concept from the outset.
Covers exponential and logarithmic functions, the use of matrices and determinants in
solving linear systems of equations, mathematical induction, sequences and series, the
binomial theorem, and/or linear programming. Calculator with logarithmic and exponential
functions required, some sections require a graphing calculator and may meet an extra hour
per week.
804-213
Trigonometry...................................3 credits
Covers the study of the six trigonometric functions, their inverse functions, the solution
of right and oblique triangles, basic identities, graphs of the trigonometric functions,
logarithms, trigonometric equations, and functions of a composite angle. Some sections use
a Graphing Calculator. Meets four times per week. Prerequisite: 804-212 College Algebra.
Transferability: those people planning to enter the mathematics, engineering or science
fields should check the school to which they plan to apply as to whether this credit is
transferable.
804-220
Finite Math..................................3 credits
Finite mathematics provides the necessary mathematical preparation for the understanding
of various quantitative methods in modern management theory and the social sciences. The
topics included are sets, relations, linear functions, matrix theory, the solutions of l
inear systems by graphical, algebraic, Gauss-Jordan, and inverse matrix methods, linear
programming by graphical and simplex methods, the mathematics of finance, counting and
probability, game theory, decision theory, and other related topics.
Prerequisite: Intermediate Algebra or acceptable placement test scores.
804-229
Mathematical Analysis.........................5 credits
An integrated treatment of topics from college algebra and trigonometry lays a sound
foundation for higher courses in mathematics. Includes linear and quadratic functions,
other polynomial functions, exponential and logarithmic functions, the trigonometric
functions, and some analytic geometry in the plane. Meets five times per week.
Prerequisites: two years of high school algebra or equivalent; and a satisfactory
mathematics placement test score.
804-231
Calculus and Analytic Geometry 1.............. 5 credits
Designed for students of mathematics, science, and engineering. An introduction to the
basic properties of limits, rate of change of functions, continuity, derivatives of
algebraic and elementary transcendental functions, their products quotients and
compositions, curve sketching, finding maxima and minima, indefinite and definite
integration with applications. Prerequisite: Both Mathematics 804-212 and 804-213, or
Mathematics 804-229, or equivalent.
804-232
Calculus and Analytic Geometry 2.................5 credits
Designed for students of mathematics, science, and engineering. Topics covered include
techniques of integration, numerical approximation of definite integrals, applications of
integration and an introduction to first order differential equations, parametric
equations and derivatives of parametric curves, polar coordinates in the plane and
integrals using polar coordinates, the analytic geometry of the conic sections, an
introduction to vectors in two and three dimensions, scalar and vector cross products,
graphs of quadric surfaces. Prerequisite: Mathematics 804-231, or equivalent.
804-233
Calculus 3........................................5 credits
Designed for students of mathematics, science, and engineering. Topics covered include
differentiation of vectors, space curves and curvature, functions of more than one
variable, level curves and level surfaces, limits and continuity, partial derivatives,
total differential, tangent planes, the gradient operator, the directional derivative,
multivariable forms of the chain rule, locating maxima, minima, and saddle points, the
method of Lagrange multipliers, multiple integrals in rectangular, polar, cylindrical and
spherical coordinates, transformations of multiple integrals and the Jacobian, surface
area, applications of multiple integrals to geometry and mechanics, line integrals in two
and three dimensions, vector fields, circulation and flux in two dimensions, Green's
Theorem, the curl and divergence operators, surfaces and surface area defined
parametrically, Gauss's and Stokes Theorems, applications of vector calculus to geometry,
mechanical work, fluid mechanics and electromagnetic fields, an introduction to the theory
and solution of first and second order ordinary differential equations. Prerequisite:
Mathematics 804-232, or equivalent.
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804-240
Basic Statistics..................................4 credits
Appropriate statistical techniques are studied for the systematic collection,
presentation, analysis and interpretation of experimental results, including surveys and
quality control. The focus is on understanding the techniques of statistical inference
(confidence intervals and hypothesis testing) and interpreting results as found in
articles and reports. Emphasizes the inherent uncertainty when decisions are made on the
basis of sample data. Includes descriptive statistics, basic probability theory, sampling
distributions and the Central Limit Theorem; the binomial, normal, Student t, chi-squared,
and F distributions; and techniques of 1- and 2-sample tests, linear regression, an
introduction to analysis of variance and selected nonparametric procedures. Requires a
minimum knowledge of algebra.
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Introduction to Computer Use..............................4 credits
This college transfer course is an introduction to computers and how to use them. It is a
lecture/lab course designed to provide you with computer skills to help a student in
his/her academic career. The major categories of microcomputer software are introduced,
including word processor, spreadsheet, database managers, telecommunications (Internet and
email), graphics packages and/or presentation software, and programming tools, This course
addresses the history and social impact of computers and the computer's role in
mathematics and science.
804-208
Computer Science..........................................3 credits
Structured computer programming leading to an introduction to object- oriented program is
developed using the hybrid (object-oriented and procedural) programming language C++ to
solve problems from the mathematical, physical, and social sciences. The theory and use of
computing machines are developed in the process of constructing algorithms and developing
skills in and understanding computer programming. Students will write approximately 8
programs and can expect to spend eight to twelve hours per week on his/her own time in
addition to time in class. This course is scheduled for two hours of lecture and three
hours of lab per week. Prerequisite: completion of or concurrent enrollment in college
algebra, or consent of instructor.
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Introduction to College Mathematics..........................3 credits
An entry-level course that reviews fundamental concepts and applications of mathematics. The course emphasizes computational and problem-solving skills with the use of a scientific calculator. Topics include fraction and decimal numbers, percent problems, a review of graphing, an introduction to descriptive statistics, basic algebra (signed numbers, simple algebraic manipulations, solving linear equations, formula rearrangement, word problems, ratios and proportions), measurement, applied plane a nd solid geometry (angle measurements, the Pythagorean Theorem, calculating perimeters, areas and volumes), radian measure, right triangle trigonometry and solving oblique triangles (the law of sines and cosines).
804-140
Algebra Concepts...............................................3 credits
This introductory algebra course provides a thorough of Beginning Algebra topics with an emphasis on problem solving in real-world applications. This course meets prerequisites for Intermediate Algebra, Technical Math I, or Industrial Math I. Prerequisite: Adequate skill in basic arithmetic.
804-150
Science Based Statistics.......................................3 credits
804-196
College Technical Mathematics 1A......................................3 credits
Topics include: solving linear, quadratic, and rational equations; graphing;
formula rearrangement; solving systems of equations; percent; proportions; and
operations on polynomials. Emphasis will be on the application of skills to technical
problems. Successful completion of College Technical Mathematics 1A and College Technical
Mathematics 1B is the equivalent of College Technical Mathematics 1. Emphasis
throughout is on applications to various technologies. A scientific (or graphing)
calculator is used throughout the course. Prerequisite: A grade of AC@ or
better in elementary algebra and equivalent competency as demonstrated on entry level
assessment.
804-197
College Technical Mathematics 1B......................................2 credits
This course is a continuation of College Technical Mathematics 1A. Topics include:
measurement systems; computational geometry; right and oblique triangle trigonometry;
and trigonometric functions on the unit circle. Emphasis will be on the application of
skills to technical problems. Successful completion of College Technical Mathematics 1A
is a prerequisite to this course. Successful completion of College Technical Mathematics 1A a
nd College Technical Mathematics 1B is the equivalent of College Technical Mathematics 1.
Emphasis throughout is on applications to various technologies. A scientific (or graphing)
calculator is used throughout the course. Prerequisite: A grade of AC@ or
better in elementary algebra and equivalent competency as demonstrated on entry level
assessment.
804-198
College Technical Mathematics 2......................................3 credits
Topics include: vectors; trigonometric functions and their graphs; identities;
exponential and logarithmic functions and equations; radical equations; equations w
ith rational exponents; dimension of a circle; velocity; sine and cosine graphs; c
omplex numbers in polar and rectangular form; trigonometric equations; conic sections;
and analysis of statistical data. Emphasis will be on the application of skills to
technical problems and on applications to various
technologies. A scientific (or graphing) calculator is used throughout the course.
Prerequisite: A grade of AC@ or better in 804-196 & 197, College Technical Math I.
804-379
Vocational Mathematics 1.....................................1 credit
A review of basic mathematics which consists of an introduction to using a scientific
calculator, order of operations, fractions, decimals, use of percentage, units of
measurement including the metric system, the reading of analog instruments for length
measurement, and practical plane geometry. Prerequisite: None
804-380
Vocational Mathematics 2.....................................1 credit
Covers simple algebra (signed numbers, algebraic manipulations, equations), ratio and
proportion, graphs, and right triangle trigonometry (areas and volumes). A scientific
calculator is used in the course. Modified to meet the needs of a particular vocation.
804-381
Machine Tool Math 1..........................................2 credits
For Machine Tool and Industrial Maintenance students only. Includes the study of machine
tool problems involving calculations with fractions, decimals and percentage. Includes
work with the metric system, measurement conversion, geometry, trigonometry of right
triangles and use of a scientific calculator. Formulas with application to the trade are
studied. Prerequisite: adequate skill in basic arithmetic.
804-382
Machine Tool Math 2..........................................1 credit
A continuation of Machine Tool Math 1. Consists of advanced machine tool problems whose
solution involve right and oblique triangles. Compound angles and numerical control
calculations are also studied. Prerequisite: 804-381, Machine Tool Math 1, or its
equivalent.
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804-171
Basic Computer Mathematics...................................2 credits
Covers problem-solving and software packages in the technical area using the IBM PC.
Emphasizes application problems that students may meet in their specialization. Concepts
of programming, input-output of data, decisions, interactive techniques, data storage,
alphanumeric data handling, the Internet, and computer graphics may be included.
804-172
Introduction to Programming
........................................2 credits
This course is a first introduction to computer programming assuming no previous
experience. We use the Basic language and concentrate on the rudiments of all
software development: data types and variables, calculations, basic I/O,
conditional statements (if ... then ... else), loops, subroutines (including
parameters), arrays, and file I/O. Later work introduces VBA (Visual Basic for
Applications), where Basic is used to program applications like Microsoft Excel.
804-173
Introduction to C/C++Programming
..................................3 credits
Introduces C programming, stressing C console appplications. Covers basic C concepts,
including data types, conditional and looping mechanisms, functions, arrays, structs,
pointers, bit handling, and file I/O. Assumes some programming background.
804-176
Java Programming
[Internet Developer Certificate-General Elective]..................3 credits
This course is an introduction to the Java programming language from an object-oriented point of view. We start with Java
basics: data types, class construction, control structures, method
writing, and elementary event handling. Further topics include Java components
and layout, mouse handling, graphics, string manipulation, remote data access, file I/O, network programming, and database work. Java 2 and Swing are covered
extensively. We write device independent applications as well as Internet applets.
This course is a general elective for the Internet Developer Certificate
804-177
Visual Basic Programming
................................3 credits
This is an introductory Visual Basic programming class
which serves as a good introduction both to Windows programming, and also to the
graphical, event-driven methods characterisric of modern software development.
Topics include Visual Basic coding and form design, Windows controls (simple and
advanced), event handling, menus, graphics, debugging, the clipboard, and VBA.
Database access is specially emphasized, including SQL.
804-178
Visual C++ Programming
.....................................3 credits
This is not an introductory course, but rather assumes basic
understanding of C and GUI programming (as provided by Intro to C/C++ Programming
(804-173) and Visual Basic Programming (804-177) respectively). We use the
Microsoft Foundation Classes (MFC) to write dialog-based and 'Single Document Interface'
applications. Topics include basic controls, menus, mouse handling, graphics, file I/O,
database access, Windows common controls and ActiveX construction.
804-179
Advanced VB.NET Programming
[Internet Developer Certificate-General Elective] .............. 3 credits
This is not an introductory course, but rather assumes an
understanding of Visual Basic fundamentals (as provided by Visual Basic Programming
(804-177)). Covers more advanced database and client-server applications, with
particular emphasis on Visual Basic as an Internet programming language developed from an object-oriented point of view (i.e., designing and
using classes). Topics include ADO data access, advanced graphics techniques, and Internet related subjects like FTP
programming, manipulating HTML files with Visual Basic, and VBScript. Both DLLs and ActiveX components are thoroughly considered.
Assumes an understanding of Visual Basic fundamentals at the
level of our Visual Basic .NET Programming (804-177). This course is a general elective for the Internet Developer Certificate.
804-181
ASP.NET Development
[Internet Developer Certificate-Capstone]
................. 3 credits
An introduction to software development with Internet Information Server (IIS) and Active Server Pages (ASP.NET). Students must already have some Internet
programming experience, including C# or Java, HTML and XML. Topics include form processing and validation, web application design and flow control, web controls,
database access, application state handling, error handling, and performance
assessment. An additional theme is separation of business logic from presentation
logic.
This course is one of two satisfying the capstone requirement for the Internet Developer Certificate (the other is Java and Object Oriented Design (804-185)).
This course is required for the Internet Developer Certificate and
should be taken last.
804-183
XML Programming
[Internet Developer Certificate-General Elective].....................2 credits
This eight week course introduces the XML technologies required for leading edge software development, emphasizing the use of XML parsers (DOM, SAX) and
XML Validation. We will start with the basics of XML such as structure and syntax, following these with some of the key XML technologies including
XPath, XSLT, Schema, XQuery, Data Islands, and Namespaces.
XML can be used to structure data for many different uses. We'll investigate using XML with HTML, telephony, graphics and in
client-server communication. Although assuming you are comfortable with
HTML coding and have some programming background, no previous XML experience is assumed.
This course, taken together with Perl Programming (804-184), is a general elective for
the Internet Developer Certificate.
804-184
Perl Programming [Internet Developer Certificate-General Elective]..........................2 credits
This eight week course introduces the Perl programming language. We'll learn the syntax and structures of Perl and consider some of the
many built-in and free plugin libraries, including File I/O, Databases, CGI (web server), and XML Parsing, as well as some networking libraries.
Perl is a language to create device independent web server scripts and system administrative scripts, with syntax based on C and C++. To succeed in
this course, you should already be familiar with the Internet and have done
some programming.
This course, taken together with XML Programming (804-183), is a general elective for
the Internet Developer Certificate.
804-185
Java and Object Oriented Design [Internet Developer Certificate-Capstone]........................3 credits
This course takes up object-oriented design in the context of Java2 Enterprise Edition (J2EE), an environment for seamlessly integrating objects with databases.
A core focus is the separation of business and presentation logic, with business
logic tied to the J2EE server, and presentation logic varying from Swing GUIs to
JSP web pages. We focus on object-oriented design and on multi-tier application design, to this
end employing a variety of design tools ranging from CRC cards to UML diagrams and include some discussion of design patterns as well.
Specific J2EE topics include Entity Beans, Container Managed Persistence, and Message Beans. We also explore some advanced Swing concepts and the basics of
JSP, including Tag Libraries.
This course is one of two satisfying the capstone requirement for the
Internet Developer Certificate (the other is IIS / ASP Development (804-181)).
804-390
Computer Prep. Math...........................................1 credit
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