CATALOG DESCRIPTION: Continues MATH 0098.
Coordinate geometry, functions, systems of
equations, matrices, determinants, exponential and logarithmic functions are
emphasized in the course.
Other topics may include sequences, series, binomial theorem , and/or probability
and statistics introduction.
This course is not considered a transfer course.
AUDIENCE: Likely offered as instructor led, ITV or
Internet
FULFILLS MN TRANSFER CURRICULUM AREA(S) (Leave blank if
not applicable)
Area : by meeting the following competencies:
Area : by meeting the following competencies:
Area : by meeting the following competencies:
PREREQUISITES OR NECESSARY ENTRY SKILLS/KNOWLEDGE: Math
0098 or placement
LENGTH OF COURSE: One semester
THIS COURSE IS USUALLY OFFERED:
Every other year fall
spring
summer undetermined
Four goals are emphasized in course at Minnesota West
Community & Technical College:
1) ACADEMIC CONTENT:
a) To solve problems using basic concepts of Algebra and Geometry.
b) To provide a basic background in algebra to enable the student to
progress to college course
work at a higher level with confidence.
c) To master a higher level of mathematical skill.
d) To develop a higher level of mathematical thinking.
e) To develop an appreciation of the language of the sciences.
2) THINKING SKILLS:
a) Develop the ability of using algebraic expressions to analyze and solve
“real-world” problems.
b) Using and developing mathematical models to understand patterns.
c) Developing and using problem solving strategies.
d) Focusing on improving critical thinking skills (logical, observational,
insightful, and evaluative).
3) COMMUNICATIONS SKILLS:
a) Writing concise solution papers to mathematical problems, mathematical
ideas and definitions.
b) Oral interpretation of problems.
c) Solving problems in cooperative groups.
d) Organize ideas and data using graphing techniques .
e) Relating mathematical ideas to “real-world” applications.
4) HUMAN DIVERSITY:
a) Working in small groups to experience different ways people solve
problems and interpret and
develop strategies in solving mathematical problems.
b) Changing partners from time to time to enrich each person’s point of
view.
TOPICS TO BE COVERED:
1) rational expressions and functions; addition subtraction , division,
multiplication and simplifying ,
determining LCMs and LCDs
2) division of polynomials, complex rational expressions and solving rational
equations
3) radical expressions and functions; addition subtraction, division,
multiplication and simplifying
4) introduce imaginary and complex numbers; addition subtraction,
multiplication , powers of i ,
conjugates, division and solving complex number equations
5) quadratic formula , solving quadratic equations, graphs of various types of
quadratic functions and
mathematical modeling
6) exponential, inverse and composite functions, logarithmic functions and their
properties,
mathematical modeling with exponential and logarithmic functions
7) conic sections ; study of the properties and the graphing of parabolas,
circles, ellipses and hyperbolas ,
solving systems of equations and applied problems where at least one equation is
nonlinear
8) Optional: Elimination Using Matrices and the Sum, Difference, Product and
Quotient of Functions
LIST OF EXPECTED COURSE OUTCOMES:
1) demonstrate basic algebra procedures readily needed to solve problems and
enhance arithmetic
methods
2) further define and develop algebraic and geometric principles to bridge the
gap between basic algebra
and more advanced uses of algebra.
3) demonstrate data collection and mathematical modeling techniques that can be
used to understand
mathematical patterns and trends
4) emphasize the practice of writing concise solutions to real-world problems
LEARNING/TEACHING TECHNIQUES used in the course are:
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Collaborative Learning |
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Problem Solving |
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Student Presentations |
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Interactive Lectures |
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Creative Projects |
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Individual Coaching |
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Lecture |
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Films/Videos/Slides |
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Demonstrations |
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Other (describe below) |
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Lab |
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ASSIGNMENTS AND ASSESSMENTS FOR THIS CLASS INCLUDE:
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Reading |
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Tests |
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Individual Projects |
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Oral Presentations |
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Worksheets |
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Collaborative Projects |
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Textbook Problems |
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Papers |
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Portfolio |
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Group Problems |
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Term Paper |
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Other (describe below) |
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EXPECTED STUDENT LEARNING OUTCOMES:
1) The student will be able to develop adequate basic algebra skills to solve
problems to enhance
arithmetic methods .
2) The student will review and further develop algebraic and geometric skills to
bridge the gap
between basic algebra and more advances use of algebra.
3) The student will develop mathematical modeling techniques to understand
mathematical patterns.
4) The student will write concise solutions to real-world problems individually
and in small interactive
groups.
To receive accommodations for a documented disability,
please contact the campus Student Services
Advisor as soon as possible. Students are also encouraged to notify the
instructor.
This document can be made available in alternative
format by contacting Student Services, the Campus CEOs
or calling Minnesota Relay Service at 1-800-627-3529. Reasonable accommodations
will be provided upon
request for documented disabilities. An Affirmative Action Equal Opportunity
Educator/Employer. ADA
Accessible.
The information in this course outline is subject to
revision.