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Higher Algebra II

CATALOG DESCRIPTION: Continues MATH 0098. Coordinate geometry, functions, systems of
equations
, matrices, determinants, exp onential 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 ,
de termining 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:

Collaborative Learning Problem Solving
Student Presentations Interactive Lectures
Creative Projects Individual Coaching
Lecture Films/Videos/Slides
Demonstrations Other (describe below)
Lab    

AS SIGNMENTS AND ASSESSMENTS FOR THIS CLASS INCLUDE:

Reading Tests Individual Projects
Oral Presentations Worksheets Collaborative Projects
Textbook Problems Papers Portfolio
Group Problems Term Paper    
Other (describe below)        

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 out line is subject to revision.

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