MATH 115 - Winona State University

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WSU Regulation 3-4
WINONA STATE UNIVERSITY
POLICY FOR CHANGING THE CURRICULUM
The purpose of this policy is to describe the process to be used to accomplish curricular changes, while recognizing the
responsibility and right of the faculty to propose such changes. Curricular changes include proposals for the growth, reduction, or
discontinuation (banking) of a major, minor, option or concentration, new courses, or changes in existing courses. The policy
applies to:
1.
Changes to existing courses requiring notification of, but not action by, the Academic Affairs and Curriculum Committee
(A2C2) and/or Graduate Council,
2.
All new or revised courses requiring A2C2 and/or Graduate Council approval,
3.
All courses which departments wish to submit for inclusion in the University Studies Program requiring University
Studies Subcommittee and A2C2 approval (See also the University Studies Program and Policies document and the University
Studies Course Approval Form),
4.
New and revised programs (majors, minors, options, certificates, and concentrations, including credit hour increases or
decreases) requiring A2C2 and/or Graduate Council approval,
5.
Discontinuation (banking) of a Program (major, minor, option, or concentration) or Course. (See WSU Regulation 3-19.)
Process for Accomplishing Curricular Change
A. Responsibilities of the Department
Curriculum proposals and notifications originate with a department or with one or more faculty members. To ensure that
proposals are drafted in keeping with this Regulation 3-4, the appropriate department’s A2C2 representative will complete and
sign the Checklist for Curricular Change Proposals. The submitting department(s) will evaluate each proposal and
recommend approval or disapproval. The proposal or notification is then sent to the college dean for consideration and
recommendation. The dean returns the proposal with a recommendation to the department chair. All curriculum proposals
must be submitted on the approved WSU curriculum proposal forms or notification form. Copies are attached.
B. Responsibilities of the Dean of the College
After approval by the department, all proposals are sent to the college dean for consideration and recommendation. The dean
returns the proposal with a recommendation to the department chair.
C. Responsibilities of the Department Chair
The chair will forward the original forms and eleven (11) copies plus an electronic copy for posting for curricular changes and
one (1) copy of notifications that involve undergraduate credit to A2C2 and ten (10) copies for those that involve graduate
credit to the Graduate Council, following the procedures as outlined on the appropriate forms. For proposals involving both
undergraduate and graduate credit twenty-one (21) copies are submitted. The electronic copy of University Studies proposals
will be sent to the IFO secretary for posting.
A representative of the originating department must attend the meeting at which the proposal will be considered. Other
interested parties are also invited to attend.
D. Responsibilities of the Academic Affairs and Curriculum Committee (A2C2)
A2C2 considers new proposals and revisions according to the following procedure and steps:
1.
Upon receiving the original forms and the appropriate number of copies from the department, the A2C2 chair puts the
proposal on the agenda of the A2C2 Course and Program Proposal Subcommittee or the University Studies Subcommittee
meeting. Notifications will be put on the agenda of the next A2C2 meeting and will be read by the chair.
2
2.
One week before the Course and Program Proposal Subcommittee meeting the A2C2 chair distributes copies of the
proposal to A2C2 and Course and Program Proposal Subcommittee members and notifies the following of the time and
place of the A2C2 Course and Program Proposal Subcommittee meeting at which the proposal will be considered:
a.
b.
c.
d.
e.
f.
g.
h.
i.
each department’s A2C2 representative,
Course and Program Proposal Subcommittee members,
concerned department chairs,
the IFO Faculty Association President,
the President of MSUAASF,
the President of Student Senate,
the Graduate Council, if appropriate,
the College Deans, and
the Vice President for Academic Affairs.
One week before the University Studies Subcommittee (USS) meeting the University Studies director distributes copies of
the proposal to the USS members and notifies the campus community of the time and place of the USS meeting and
identifies proposal being considered.
3.
The department initiating the curriculum proposal must send a representative who is knowledgeable of the proposal to this
meeting. If no representative from the originating department is present, the proposal will be tabled.
4.
All university units, faculty, students, MnSCU, are invited to send representatives to the A2C2 Course and Program
Proposal Subcommittee meetings.
5.
Any department or other University unit that objects to the curriculum proposal must present a written statement of their
position (with copies for each subcommittee member) at the A2C2 Course and Program Proposal Subcommittee meeting
and may send a representative to the meeting to explain the objection. If conflicts between university units are not
resolved to the subcommittee’s satisfaction, the proposal will be postponed until resolved.
6.
Curriculum proposals will be evaluated using the criteria as listed in this regulation and on the proposal forms, and a
recommendation for approval or disapproval will be made.
7.
If the proposal contains both a new program and new courses, the program and courses will be submitted simultaneously.
Upon receiving a recommendation from the subcommittee, A2C2 will formally act first on the new program and then on
the new courses.
8.
The A2C2 Course and Program Proposal Subcommittee will bring the proposal and the recommendation to the next A2C2
meeting.
9.
A2C2 will vote approval or disapproval of the proposal.
10. The A2C2 chair will forward the proposal together with the A2C2 recommendation to the IFO Faculty Senate.
Note: A2C2 does not act on proposals involving courses or programs for graduate credit only or on proposals to designate a
lower-level course as being eligible for graduate credit.
E.
Responsibilities of the Graduate Council
All proposals involving notification and new or revised courses or programs for graduate credit only and all proposals that
designate a lower-level course as eligible for graduate credit are acted on by the Graduate Council. A2C2 does not make
recommendations or receive copies of these proposals.
A proposal for a curriculum change which includes any double-numbered course which qualifies for both undergraduate and
graduate credit must be submitted both to A2C2 and to the Graduate Council for their evaluation and recommendation.
3
F.
Responsibilities of the WSU Faculty Association Senate
After receiving the proposal and recommendation from A2C2 and/or Graduate Council, the WSU Faculty Association Senate
will approve or disapprove the proposal. The proposal, together with the A2C2 and/or Graduate Council recommendation and
the Faculty Senate recommendation will then be forwarded to the Vice President of Academic Affairs.
G. Responsibilities of the Vice President of Academic Affairs and the President
The Vice President for Academic Affairs shall recommend approval or disapproval of the proposal to the President within a
reasonable length of time.
The President shall make the decision approving or disapproving of the proposal.
The Vice President for Academic Affairs shall communicate the President’s decision to all appropriate University units within
fifteen (15) contract days of the date of the decision. The decision shall be printed in the appropriate University publication.
The effective date for curricular changes is normally the semester after which the proposal is approved.
If the Vice President’s recommendation and/or the President’s decision departs from the A2C2 or Graduate Council
recommendation, the Vice President shall communicate in writing to the A2C2 chair or the chair of the Graduate Council and
to the originator of the proposal the reasons for the departure within the fifteen (15) contract day limitation.
H. All Course and Program Proposals are subject to MnSCU Policies on Curriculum.
Types of Curricular Proposals
A. Notifications.
The following types of curricular proposals are considered to be notifications. These proposals require notification of, but not
action by, A2C2 and/or Graduate Council. Submit on form entitled Notifications.
The proposal is considered to be a Notification if the curricular change is for an individual course and the change proposed is
one of the following:
•
Change in course title,
•
Change in course description,
•
Change in prerequisites,
•
Change in grading option,
•
Reduction in course number,
•
Change in course number within level, e.g. 310 to 350, or
•
Increase in hours or credits in an independent study course.
A proposal for such a curricular change requires approval of only the department and college dean. The notification will be
presented in writing at the next A2C2 and/or graduate Council meeting as part of the agenda under Notifications. The
notification is sent to A2C2 if the course is an undergraduate course and to the Graduate Council if the course is a graduate
course.
A department, with its dean’s approval, may change up to two required courses within an existing major, minor, option,
concentration, etc., per year without seeking approval of A2C2 or the Graduate Council, provided that (1) the total credits do not
increase or decrease for the major, minor, option, concentration, etc., and (2) the change does not affect other departments or the
University Studies Program. Such a change is also considered to be a notification and is submitted on the form Notifications.
However, if such a change affects other departments or the University Studies Program, then the proposal will be considered a
new or revised course or program proposal.
The department will supply A2C2 or the Graduate Council with the original form and one copy at least seven (7) contract days
before the meeting at which the department wishes the notification to be presented.
B. Proposals for New Courses.
Use form Proposal for New Courses. Supply all information according to the directions found on the form. Include a Financial
and Staffing Data Sheet and an Approval Form. The department will supply A2C2 and/or Graduate Council with the original
forms and the appropriate number of copies of the forms at least seven (7) contract days before the A2C2 meeting or Graduate
Council meeting at which the department wishes the proposal to be considered.
C. Proposals for Revised Courses.
If the proposed curricular change requires A2C2 and/or graduate Council approval, i.e., not considered a notification, use form
Proposal for Revised Courses. Follow directions given on the form and include an Approval Form. The department will supply
A2C2 and/or Graduate Council with the original forms and the appropriate number of copies of the forms at least seven (7)
contract days before the A2C2 meeting or Graduate Council meeting at which the department wishes the proposal to be
considered.
D. Proposals for Courses for Inclusion in the University Studies Program including flagged courses.
Use form Proposal for University Studies Courses. Follow directions given on the form and include a University Studies
Course Approval Form. The department will supply A2C2 with the original forms and ten (10) copies of the forms at least seven
(7) contract days before the University Studies Subcommittee meeting at which the department wishes the proposal to be
considered. If the proposed course is a new course, it must submitted for approval as a new course (see above) before submission
as a University Studies course.
E.
Proposals for Revised Programs.
Use form Proposal for Revised Programs. Supply all information requested on the form and include a Financial and Staffing
Data Sheet and an Approval Form. The department will supply A2C2 and/or Graduate Council with the original forms and the
appropriate number of copies of the forms at least seven (7) contract days before the A2C2 meeting or Graduate Council meeting
at which the department wishes the proposal to be considered.
F.
Proposals for New Programs.
Proposals for new programs will be submitted as required by MnSCU regulations.
G. Proposals for Discontinuation (Banking) of a Program or Course.
See WSU Regulation 3-19. Supply all information requested on the form. The department will supply A2C2 with the original
form and one copy at least seven (7) contract days before the A2C2 meeting at which the department wishes the proposal to be
presented.
WINONA STATE UNIVERSITY
REQUIRED CHECKLIST FOR ALL CURRICULAR PROPOSALS
Course or Program__________________________________
This checklist enables A2C2 representatives to endorse that their departments have accurately followed the Process for
Accomplishing Curricular Change. For each course or program proposal submitted to A2C2, this checklist must be completed, signed
by the submitting department's A2C2 representative, and included with the proposal when forwarded for approval. Peer review of
proposals is also strongly advised, e.g., departments should discuss and vote on the proposals as submitted to A2C2, rather than on just
the ideas proposed or drafts of proposals.
If a proposal fails to follow or complete any aspect of the process, the Course and Program Proposal Subcommittee will postpone
consideration of the proposal and return it to the department's A2C2 representative for completion and resubmission. Resubmitted
proposals have the same status as newly submitted proposals.
Note: This form need not be completed for notifications.
1.
The appropriate forms and the “Approval Form" have been completed in full for this proposal. All necessary or relevant
descriptions, rationales, and notifications have been provided.
________ Completed
2a. The “Financial and Staffing Data Sheet" has been completed and is enclosed in this proposal, if applicable.
________ Completed
________ NA
2b. For departments that have claimed that “existing staff" would be teaching the course proposed, an explanation has been
enclosed in this proposal as to how existing staff will do this, e.g., what enrollment limits can be accommodated by
existing staff. If no such explanation is enclosed, the department's representative is prepared to address A2C2's questions
on this matter.
________ Completed
________ NA
3.
Arrangements have been made so that a department representative knowledgeable of this proposal will be attending both
the Course and Program Proposal Subcommittee meeting and the full A2C2 meeting at which this proposal is considered.
________ Completed
Name and office phone number of proposal's representative: _____________________________________
4.
Reasonable attempts have been made to notify and reach agreements with all university units affected by this proposal.
Units still opposing a proposal must submit their objections in writing before or during the Course and Program Proposal
Subcommittee meeting at which this proposal is considered.
________ Completed
________ NA
5.
The course name and number is listed for each prerequisite involved in this proposal.
________ Completed
________NA
6.
In this proposal for a new or revised program (major, minor, concentration, etc.), the list of prerequisites provided includes
all the prerequisites of any proposed prerequisites. All such prerequisites of prerequisites are included in the total credit
hour calculations. ________ Completed
________ NA
7.
In this proposal for a new or revised program, the following information for each required or elective course is provided:
a.
The course name and number.
b.
A brief course description.
c.
A brief statement explaining why the program should include the course.
________ Completed
________ NA
8.
This course or program revision proposal:
a.
Clearly identifies each proposed change.
b.
Displays the current requirements next to the proposed new requirements, for clear, easy comparison.
________ Completed
________ NA
9.
This course proposal provides publication dates for all works listed as course textbooks or references using a standard form
of citation. Accessibility of the cited publications for use in this proposed course has been confirmed.
________ Completed
________ NA
__________________________________________________
Department's A2C2 Representative or Alternate
______________________
Date
[Revised 9-05]
WINONA STATE UNIVERSITY
NOTIFICATIONS
Department
Mathematics and Statistics_____________________
Date _3/27/07____
If the proposed curricular change involves existing courses and is considered a Notification, complete and submit this form. Refer to
Regulation 3-4, Policy for Changing the Curriculum, for complete information on submitting proposals for curricular changes.
Please check type of change(s):
__ Reduction in course number __ Change in grading option
__ Change in hours or credits in an independent study course
__ Change in course title
__ Change in course description* __ Change in existing major, minor, option, concentration, etc.*
_X_ Change in prerequisites
__ Change in course number within level, e.g. 310 to 350
A. Current Course Information
___MATH 120_________ _____Precalculus________________________
Course No.
Course Title
This proposal is for a(n)
___X__ Undergraduate Course
__4___
Credits
______ Graduate Course
Applies to
_______ Major
_____ Required
_____ Elective
____ __ Minor
_____ Required
_____ Elective
Prerequisites
______________math placement or MATH 050_________________________________
Grading
______ Grade only
______ P/NC only
Frequency of offering
_______Every semester____________
__X__ Grade and P/NC Option
Proposed Course Information. (Please indicate only proposed changes below.)
_____________________ _____________________________________________________ _______
Course No.
Course Title
Prerequisites
______
Credits
_______math placement or MATH 115 – College Algebra_______________________________________
Grading
______ Grade only
______ P/NC only
______ Grade and P/NC Option
Effective date (normally the next semester)____Fall 2007__
B. *If the proposal requests a change in the course description, please attach a description of the change requested and list both the
current and proposed course description. If the proposal requests a change in an existing major, minor, option, concentration,
etc., please attach a description of the change(s) requested and list both the current and proposed program listings.
Approved by the Department
__________________________________________________
Department Chair
_________________
Date
__________________________________________________
e-mail address
Approval of College Dean
__________________________________________________
Dean of College
_________________
Date
Presented at A2C2 meeting on
___________________
Date
_________________________________________________
Chair of A2C2
Presented at Graduate Council
meeting on (if applicable)
__________________
Date
___________________________________________________
Chair of Graduate Council
Submitted to Registrar on
_________________
Date
Registrar: Please notify department chair via e-mail that
Notification has been recorded.
[Revised 9-05]
WINONA STATE UNIVERSITY
NOTIFICATIONS
Department
_________Mathematics & Statistics____________________
Date ________3/27/07______
If the proposed curricular change involves existing courses and is considered a Notification, complete and submit this form. Refer to
Regulation 3-4, Policy for Changing the Curriculum, for complete information on submitting proposals for curricular changes.
Please check type of change(s):
__ Reduction in course number __ Change in grading option
__ Change in hours or credits in an independent study course
__ Change in course title
__ Change in course description* __ Change in existing major, minor, option, concentration, etc.*
X Change in prerequisites
__ Change in course number within level, e.g. 310 to 350
A. Current Course Information
_MATH 130________
Course No.
__________Matrix Algebra____________
Course Title
This proposal is for a(n)
__X___ Undergraduate Course
__3 _
Credits
____ Graduate Course
Applies to
___X__ Major
___X__ Minor
__X__ Required
_X__ Required
__X__ Elective
_X__ Elective
Prerequisites
_________________MATH 120______________________________________________
Grading
______ Grade only
Frequency of offering
__________Every Semester______
______ P/NC only
______ Grade and P/NC Option
Proposed Course Information. (Please indicate only proposed changes below.)
_____________________ _____________________________________________________ _______
Course No.
Course Title
Prerequisites
______
Credits
_____________________MATH 115 or MATH 120_________________________________________
Grading
______ Grade only
______ P/NC only
______ Grade and P/NC Option
Effective date (normally the next semester)______Fall 2007 _____
B. *If the proposal requests a change in the course description, please attach a description of the change requested and list both the
current and proposed course description. If the proposal requests a change in an existing major, minor, option, concentration,
etc., please attach a description of the change(s) requested and list both the current and proposed program listings.
Approved by the Department
__________________________________________________
Department Chair
_________________
Date
__________________________________________________
e-mail address
Approval of College Dean
__________________________________________________
Dean of College
_________________
Date
Presented at A2C2 meeting on
___________________
Date
_________________________________________________
Chair of A2C2
Presented at Graduate Council
meeting on (if applicable)
__________________
Date
___________________________________________________
Chair of Graduate Council
Submitted to Registrar on
_________________
Date
Registrar: Please notify department chair via e-mail that
Notification has been recorded.
[Revised 9-05]
WINONA STATE UNIVERSITY
NOTIFICATIONS
Department
_____________MATH 140______________________
Date ____3/27/07______
If the proposed curricular change involves existing courses and is considered a Notification, complete and submit this form. Refer to
Regulation 3-4, Policy for Changing the Curriculum, for complete information on submitting proposals for curricular changes.
Please check type of change(s):
__ Reduction in course number __ Change in grading option
__ Change in hours or credits in an independent study course
__ Change in course title
__ Change in course description* __ Change in existing major, minor, option, concentration, etc.*
X Change in prerequisites
__ Change in course number within level, e.g. 310 to 350
A. Current Course Information
___MATH_140_______
Course No.
_______________Applied Calculus________________ _______
Course Title
This proposal is for a(n)
__X__ Undergraduate Course
__3 __
Credits
______ Graduate Course
Applies to
______ Major
_____ Required
_____ Elective
______ Minor
_____ Required
_____ Elective
Prerequisites
____________MATH 120___________________________________________________
Grading
______ Grade only
Frequency of offering
_____________________________
______ P/NC only
______ Grade and P/NC Option
Proposed Course Information. (Please indicate only proposed changes below.)
_____________________ _____________________________________________________ _______
Course No.
Course Title
Prerequisites
______
Credits
________________MATH 115 or MATH 120_______________________________________
Grading
______ Grade only
______ P/NC only
______ Grade and P/NC Option
Effective date (normally the next semester)______Fall 2007______
B. *If the proposal requests a change in the course description, please attach a description of the change requested and list both the
current and proposed course description. If the proposal requests a change in an existing major, minor, option, concentration,
etc., please attach a description of the change(s) requested and list both the current and proposed program listings.
Approved by the Department
__________________________________________________
Department Chair
_________________
Date
__________________________________________________
e-mail address
Approval of College Dean
__________________________________________________
Dean of College
_________________
Date
Presented at A2C2 meeting on
___________________
Date
_________________________________________________
Chair of A2C2
Presented at Graduate Council
meeting on (if applicable)
__________________
Date
___________________________________________________
Chair of Graduate Council
Submitted to Registrar on
_________________
Date
Registrar: Please notify department chair via e-mail that
Notification has been recorded.
[Revised 9-05]
WINONA STATE UNIVERSITY
PROPOSALS FOR NEW COURSES
DIRECTIONS FOR THE DEPARTMENT
This form, Proposal for New Courses, is to be used to submit course proposals for any new undergraduate or graduate course. Read
the directions below for information on providing course descriptions and impact of approval on other departments. The department
must include a Financial and Staffing Data Sheet and an Approval Form with this proposal. Copies of each of these forms are
attached. Refer to Regulation 3-4, Policy for Changing the Curriculum, for complete information on submitting proposals for
curricular changes.
Provide the following information when submitting a new course proposal.
A.
Provide a description of the course. This description must include the following information.
1.
2.
3.
4.
5.
6.
Description of the course as it will appear in the WSU catalog.
Syllabus or course outline of the major topics, themes, subtopics, etc., to be covered in the course. This outline should be,
at a minimum, a two-level outline, i.e., consisting of topics and subtopics.
Statement of the basic instructional plan and methods used, for example, lectures, discussion, etc.
Course requirements (papers, lab work, projects, etc.) and means of evaluation.
List of course materials. This list may include textbooks, articles, monographs, software, etc.
Bibliography, including author, title, date, for a reasonable number of scholarly materials such as articles and books.
The above course description does not preclude future revisions of course content, texts used, methods of instruction and forms
of evaluation.
B.
Provide a rationale for the new course. The rationale should include the following item.
1.
2.
3.
C.
Provide a statement of the impact of this course on other departments, programs, majors, and minors.
1.
2.
3.
D.
Statement of the major focus and objectives of the course.
Statement specifying how this course will contribute to the departmental curriculum.
Courses which may be dropped, if any, if this course is implemented.
Clearly state the impact of this course on courses taught in other departments. Does this course duplicate the content of
any other course? Is there an effect on prerequisites?
Would approval of this course change the total number of credits required by any major or minor of any department? If
so, the department must indicate which departments are affected and explain carefully the effects of the course.
If this course has an impact on the major or minor of any other department or any program, it is the responsibility of the
department submitting the course proposal to send written notification to the department(s) or program(s) affected. State
clearly which other programs are affected by this proposal and whether the other departments have been notified and/or
consulted.
If this course is also being submitted for inclusion in the University Studies Program, the form Proposal for University Studies
Course and appropriate approval form must also be completed and submitted according to the instructions on that form.
Note: If any of the requested information is missing, the proposal will not be reviewed by the A2C2 Course and Program
Proposal Subcommittee or the Graduate Council but will instead be returned to the department.
WINONA STATE UNIVERSITY
PROPOSAL FOR NEW COURSES
Department ______Mathematics and Statistics________________
Date ______3/27/07________
Refer to Regulation 3-4, Policy for Changing the Curriculum, for complete information on submitting proposals for curricular
changes.
____MATH 115________
Course No.
________College Algebra______________________
Course Name
This proposal is for a(n)
__X__ Undergraduate Course
____4___
Credits
______ Graduate Course
Applies to:
______ Major
_____ Required
_____ Elective
Prerequisites
_________math placement or MATH 050_________________________________
Grading method ______ Grade only
______ Minor
_____ Required
_____ Elective
______ P/NC only
__X_ University Studies*
______ Not for USP
__X__ Grade and P/NC Option
Frequency of offering ______every semester__________
*For University Studies Program course approval, the form Proposal for University Studies Courses must also be completed and
submitted according to the instructions on that form.
Provide the following information:
A.
Course Description
1.
2.
3.
4.
5.
6.
B.
Rationale
1.
2.
3.
C.
Catalog description.
Course outline of the major topics and subtopics (minimum of two-level outline).
Instructional methods utilized. Please indicate the contributions of lectures, laboratories, web-based materials, internships,
and other instructional methods to this course.
Course requirements (papers, lab work, projects, etc.) and means of evaluation.
Course materials (textbook(s), articles, etc.).
List of references.
Statement of the major focus and objectives of the course.
Specify how this new course contributes to the departmental curriculum.
Indicate any course(s) which may be dropped if this course is approved.
Impact of this Course on other Departments, Programs, Majors, or Minors
1.
2.
Does this course increase or decrease the total credits required by a major or minor of any other department? If so, which
department(s)?
List the department(s), if any, which have been consulted about this proposal.
Attach a Financial and Staffing Data Sheet.
Attach an Approval Form with appropriate signatures.
Department Contact Person for this Proposal:
_______Brant Deppa__________________
Name (please print)
_____457-5457____
Phone
_______bdeppa@winona.edu_______
e-mail address
Form Revised 4-13-05
Course Proposal for College Algebra
MATH 115 (4 s.h.)
Department of Mathematics and Statistics
Winona State University
A.
COURSE DESCRIPTION
1.
Catalog Description:
This course will give students a rigorous preparation in algebra. Topics include
review of basic algebraic concepts, functions and graphs, polynomial, radical,
rational, exponential and logarithmic functions; equations, inequalities, systems of
equations and inequalities; applications. Prerequisite: MATH 050 or mathematics
placement.
2.
Course Outline for MATH 115 – College Algebra
I.
Basic Concepts of Algebra
A.
Real Numbers and Their Properties
B.
Integral Exponents
C.
Rational Exponents and Radicals
D.
Polynomials: Basic Operations
E.
Polynomials: Factoring
F.
Rational Expressions: Basic Operations
II.
Equations and Inequalities
A.
Linear Equations and Applications
1. Solving linear equations
2. Strategies for solving word problems
3. Solving number and geometric problems
4. Solving rate-time problems
5. Solving mixture problems
B.
Linear Inequalities
1. Inequality relations and interval notation
2. Solving linear inequalities
C.
Absolute Value in Equations and Inequalities
1. Definition and properties
2. Solving absolute value equations and inequalities
D.
Complex Numbers
1. Concepts and terminology
2. Operations
3. Complex numbers and radicals
4. Solving equations involving complex numbers
E.
Quadratic Functions and Applications
1. Factoring to solve quadratic equations
2. Square root property to solve quadratics
3. Completing the square
4. Quadratic formula
5. Applications
III.
Graphs
A.
Cartesian Coordinate System
1. Review of Cartesian Coordinate System
2. Plotting points
3. Using symmetry
B.
Distance in the Plane
1. Distance between two points
2. Midpoint of a line segment
3. Circles
C.
Equation of a Line
1. Graphing lines
2. Finding slope of a line
D.
3. Special forms of the equation of a line
4. Parallel and perpendicular lines
Linear Equations and Models
1. Slope as a rate of change
2. Linear models
3. Linear regression (optional)
IV.
Functions
A.
Functions
B.
Graphing Functions
C.
Transformations of Functions
1. Vertical and Horizontal Shifts
2. Reflections
3. Stretching and Shrinking
4. Even/Odd Functions
D.
Quadratic Functions
1. Graphing quadratics
2. Modeling with quadratics
3. Solving quadratic inequalities
E.
Composite Functions
1. Operations on functions
2. Composition
3. Modeling with composite functions
F.
Inverse Functions
V.
Polynomial and Rational Functions
A.
Polynomial Functions and Models
1. Graphs of Polynomial Functions
2. Polynomial Division
3. Remainder and Factor Theorems
4. Zeroes of polynomials
B.
Rational Functions and Inequalities
1. Rational functions and properties of their graphs
2. Asymptotes
3. Analyzing the graph of a rational function
4. Rational inequalities
VI.
Introduction to Exponential and Logarithmic Functions
A.
Exponential Functions
B.
Logarithmic Functions
C.
Solving Exponential and Logarithmic Equations
D.
Applications
Additional Topics Time Permitting
VII. Systems of Equations and Inequalities
A. Systems of Linear Equations in Two Variables
B. Systems of Linear Equations in Three Variables
C. Inequalities and Systems of Inequalities in Two Variables
VIII.
Introduction to Trigonometric Functions
A.
Angles and Radians
B.
Right Triangle Approach
C.
Unit-Circle Approach
D.
Properties of Trigonometric Functions
3.
Instructional Methods Utilized
The basic method of instruction will be lecture, discussion, problem sessions, and
group work. In addition, students will likely have access to online learning
resources available from most publishers of introductory mathematics texts and
have additional help available through the departmental tutoring program.
4.
Course Requirements
Course requirements will include homework assignments, quizzes, and exams.
Students may also be required to complete outside work using online learning
resources.
5.
Course Materials
References:
College Algebra w/ Trigonometry by Barnett, Ziegler & Byleen, McGraw Hill
(2008).
Algebra for College Students (4th edition) by Dugopolski, McGraw Hill (2006).
Algebra for College Students with MathZone by Miller & O’Neill, McGraw Hill
(2004).
Software:
ALEKS and MathZone software, McGraw Hill (2007).
6.
Bibliography
See above
RATIONALE
1.
In last five years 39.68% of students taking MATH 120 – Precalculus have earned
a D, F, or withdrew from the course. In talking with the instructors of this course
they find that much of the class is not strong enough in algebra to successfully
learn precalculus material. Students do currently have MATH 050 – Intermediate
Algebra as an option to help prepare them but it does not cover material sufficient
to them ready for success in precalculus. In past five years, only 35.84% of
earning a passing grade (P) in MATH 050 were able to earn a C or better in
MATH 120. Clearly this is not acceptable and suggests the need for another
course much more rigorous in algebra.
The goals of this course are to give students a college level algebra experience
where both mastery of algebraic concepts and applications are stressed. It will
better prepare students for success in subsequent higher level mathematics courses
like Precalculus (MATH 120), Matrix Algebra (MATH 130) and Applied
Calculus (MATH 140), which this course would be a prerequisite for.
Mathematics placement guidelines which will be implemented beginning
in June 2007.
ACT Score
Course Placement
ACT < 17
MATH 050
18 < ACT < 22
MATH 100, 110, 115
STAT 110
23 < ACT < 25
MATH 120
ACT > 26
MATH 160 (Calc I)
2.
This course will be filling an obvious need in terms of preparation for study of
higher mathematics as well as serving as an excellent college-level mathematics
experience.
3.
No courses will necessarily be dropped as a result of offering this course,
although the number of sections offered of Precalculus (MATH 120) will be
decreased.
C.
Course Impact
1.
The content of this course does not duplicate that taught in other departments.
There is certainly some overlap between MATH 115 and the current MATH 120,
however the discussion of any duplicate topics in MATH 120 will be at a higher
level and with the focus being preparation for their use in calculus.
2.
The number of credits required would increase for students who are required to
take mathematics courses beyond MATH 115 who do not exempt themselves
from having to take it through either their mathematics ACT score or their score
on an Accuplacer exam during summer registration.
3.
The chairs of departments requiring calculus or precalculus have been notified that this new structure may require their
majors to complete an additional 4 credits of mathematics coursework in order to complete degree requirements.
Actually this is true of the new mathematics placement policy as well although this proposal does not address the
mathematics issue.
D.
Proposal for University Studies Course
This course would a mathematics basic skills course in University Studies Program.
WINONA STATE UNIVERSITY
PROPOSAL FOR UNIVERSITY STUDIES COURSES
DIRECTIONS FOR THE DEPARTMENT
This form, Proposal for University Studies Courses, is to be used to submit course proposals for inclusion in the University Studies
Program. Read the directions below for information on providing course descriptions. The department must include the University
Studies Approval Form with this proposal. Copies of each of these forms are attached. Refer to Regulation 3-4, Policy for Changing
the Curriculum and the University Studies Program and Policies Document for complete information on submitting University
Studies courses.
The following points are contained in the University Studies Program and Policies Document (Section IV. Course Approval
Process).
Material to be submitted for course approval for Course Requirements:
1.
2.
3.
4.
5.
6.
7.
Course proposals must address all specified outcomes.
The course proposal must include documentation of Course Requirements and learning activities designed to meet the
course outcomes specifies for the area.
The course proposal must include a course description (e.g., a syllabus or course outline for distribution to students) that
clearly identifies (to the student) the course as a University Studies Course.
The course description (e.g., a syllabus or course outline for distribution to students) should also include information
directed to the student that clearly identifies course activities and assignments that address the course outcomes.
Sequences of courses may be submitted to satisfy area requirements. In this case the requested material or documentation
in items 1-4 must be submitted for all of the courses in the sequence.
The USS may request other material (e.g., textbooks) for review in evaluation course proposal.
The USS may request additional information for re-approval.
Material to be submitted for course review of Flagged Courses:
1.
2.
3.
4.
5.
The USS recognizes that decisions as to which courses meet department flag requirements reside with the department
offering the courses. Nevertheless, departments are required to demonstrate how flagged courses address the relevant
outcomes for each flag.
Departments should submit course descriptions for flagged courses to the USS and the syllabus should clearly identify the
course as a course that satisfies a flag requirement within the University Program.
The course descriptions for flagged courses should include information directed to the students which clearly identifies
activities and assignments that address the outcomes.
The USS has the right to comment on department plans for flagged courses and to offer suggestions.
No flagged course will satisfy University Studies Course Requirements in the University Studies Program.
If the proposed course is a new course, it must be submitted for approval as a new course (see above) before submission as a
University Studies course.
WINONA STATE UNIVERSITY
PROPOSAL FOR UNIVERSITY STUDIES COURSES
Department _______Mathematics & Statistics________________
____MATH 115________
Course No.
_____________College Algebra__________
Course Name
This proposal is for a(n)
__X_ Undergraduate Course
Applies to: ______ Major
_____ Required
_____ Elective
Date _______3/27/07_________
__4__
Credits
______ Minor
_____ Required
_____ Elective
University Studies (A course may be approved to satisfy only one set of outcomes.):
Course Requirements:
Basic Skills:
Arts & Science Core:
_____ 1. College Reading and Writing
_____ 2. Oral Communication
__X_ 3. Mathematics
_____ 4. Physical Development & Wellness
Flagged Courses:
_____ 1. Humanities
_____ 2. Natural Science
_____ 3. Social Science
_____ 4. Fine & Performing Arts
Unity and Diversity:
_____ 1. Critical Analysis
_____ 2. Science and Social Policy
_____ 3. a. Global Perspectives
_____ b. Multicultural Perspectives
_____ 4. a. Contemporary Citizenship
_____ b. Democratic Institutions
_____ 1. Writing
_____ 2. Oral Communication
_____ 3. a. Mathematics/Statistics
_____ b. Critical Analysis
Prerequisites ____________MATH 050 or mathematics placement_______________________________________________
Provide the following information (attach materials to this proposal):
Please see “Directions for the Department” on previous page for material to be submitted.
Attach a University Studies Approval Form.
Department Contact Person for this Proposal:
______Brant Deppa__________________
Name (please print)
_____457-5457____
Phone
_____bdeppa@winona.edu________
e-mail address
[Revised 9-05]
Mathematics Basic Skills Proposal for Math 115 – College Algebra
Basic Skills in Mathematics: The purpose of the Mathematics requirement in University Studies is to help students develop
an appreciation of the uses and usefulness of mathematical models of our world, as applied in a variety of specific contexts.
Students should complete the requirement as soon as possible, preferably in their first year and certainly no later than their third
semester. Only approved courses offered by the Department of Mathematics and Statistics can be used to satisfy the University
Studies requirements for Basic Skills in Mathematics. MATH 115 – College Algebra contains requirements and learning
activities that promote students’ abilities to…
a.
use logical reasoning by studying mathematical patterns and relationships;
b. use mathematical models to describe real-world phenomena and to solve real-world problems - as well as understand the
limitations of models in making predictions and drawing conclusions;
c.
organize data, communicate the essential features of the data, and interpret the data in a meaningful way;
d.
do a critical analysis of scientific and other research;
e.
extract correct information from tables and common graphical displays, such as line graphs, scatter plots, histograms, and
frequency tables;
f.
express the relationships illustrated in graphical displays and tables clearly and correctly in words; and/or
g. use appropriate technology to describe and solve quantitative problems.
COURSE OUTLINE (with basic skills outcomes identified)
I.
Basic Concepts of Algebra
A.
Real Numbers and Their Properties
B.
Integral Exponents
C.
Rational Exponents and Radicals
D.
Polynomials: Basic Operations
E.
Polynomials: Factoring
F.
Rational Expressions: Basic Operations
II.
Equations and Inequalities
A.
Linear Equations and Applications
1. Solving linear equations (a)
2. Strategies for solving word problems (b)
3. Solving number and geometric problems (c)
4. Solving rate-time problems (b, c)
5. Solving mixture problems (b, c)
B.
Linear Inequalities
1. Inequality relations and interval notation (a)
2. Solving linear inequalities (a)
C.
Absolute Value in Equations and Inequalities
1. Definition and properties
2. Solving absolute value equations and inequalities (a)
D.
Complex Numbers
1. Concepts and terminology
2. Operations
3. Complex numbers and radicals
4. Solving equations involving complex numbers (a)
E.
Quadratic Functions and Applications
1. Factoring to solve quadratic equations (a)
2. Square root property to solve quadratics (a)
3. Completing the square (a)
4. Quadratic formula (a)
5. Applications (b, c)
III.
Graphs
A.
Cartesian Coordinate System
1. Review of Cartesian Coordinate System
2. Plotting points (e)
3. Using symmetry (e)
B.
Distance in the Plane
1. Distance between two points (a, e)
2. Midpoint of a line segment (a, e)
3. Circles (a, e)
C.
Equation of a Line
1. Graphing lines (a, e)
2. Finding slope of a line (a, e)
3. Special forms of the equation of a line
4. Parallel and perpendicular lines
D.
Linear Equations and Models
1. Slope as a rate of change (b, e, f)
2. Linear models (b, c, f)
3. Linear regression (optional) (b, c, e, f)
IV.
Functions
A.
Functions
B.
Graphing Functions (e)
C.
Transformations of Functions
1. Vertical and Horizontal Shifts (e, f)
2. Reflections (e, f)
3. Stretching and Shrinking (e, f)
4. Even/Odd Functions (e, f)
D.
Quadratic Functions
1. Graphing quadratics (e)
2. Modeling with quadratics (a, b)
3. Solving quadratic inequalities (a)
E.
Composite Functions
1. Operations on functions (a)
2. Composition (a)
3. Modeling with composite functions (a, b)
F.
Inverse Functions (a)
V.
Polynomial and Rational Functions
A.
Polynomial Functions and Models
1. Graphs of Polynomial Functions (e, f)
2. Polynomial Division (a)
3. Remainder and Factor Theorems (a)
4. Zeroes of polynomials (a, e)
B.
Rational Functions and Inequalities
1. Rational functions and properties of their graphs (a, e)
2. Asymptotes (a, e)
3. Analyzing the graph of a rational function (a, e)
4. Rational inequalities (a)
VI.
Introduction to Exponential and Logarithmic Functions
A.
Exponential Functions (a, b)
B.
Logarithmic Functions (a, b)
C.
Solving Exponential and Logarithmic Equations (a)
D.
Applications (b, e)
Additional Topics Time Permitting
VII. Systems of Equations and Inequalities
A. Systems of Linear Equations in Two Variables (a, b)
B. Systems of Linear Equations in Three Variables (a, b)
C. Inequalities and Systems of Inequalities in Two Variables (a, b, e, f)
VIII.
Introduction to Trigonometric Functions
A.
Angles and Radians (a, b)
B.
Right Triangle Approach (a, b, e)
C.
Unit-Circle Approach (a, b, e)
D.
Properties of Trigonometric Functions (a)
Basic skills language to appear on all MATH 115 – College Algebra syllabi
a.
use logical reasoning by studying mathematical patterns and relationships;
This is outcome is an integral part of nearly every topic in the course.
b. use mathematical models to describe real-world phenomena and to solve real-world problems - as well as
understand the limitations of models in making predictions and drawing conclusions;
Nearly all topics have an application component to them where students will need to apply them to solve real-world
problems. Many of these are word problems which force students to critically analyze given information and extract the
important given information in order to construct algebraic expressions and equations that can then be solved using
techniques learned previously.
c.
organize data, communicate the essential features of the data, and interpret the data in a meaningful way;
Solving word problems forces students to extract from given information (or data) the
important elements that can then be used to set up equations that allow them to solve
the problem.
e.
extract correct information from tables and common graphical displays, such as line graphs, scatter plots,
histograms, and frequency tables;
Graphing is very important component of algebra. In this courses students will be graphing linear equations; solving linear
inequalities graphically; graphing quadratics & higher order polynomials, radical functions, rational functions, exponential,
and logarithmic functions.
f.
express the relationships illustrated in graphical displays and tables clearly and correctly in words; and/or
Identification of important features of graphs and where those features come from mathematically is stressed. When these
graphs represent real-world phenomenon being to able express in words what they show is stressed.
g. use appropriate technology to describe and solve quantitative problems.
Use of appropriate technology such a graphing calculators and computer-based
learning resources will be prevalent throughout the course.
WINONA STATE UNIVERSITY
UNIVERSITY STUDIES APPROVAL FORM
Routing form for University Studies Course approval.
Department Recommendation
Course______________________
_____ Approved
_________________________________
Department Chair
________________
Date
Dean’s Recommendation _____ Approved
_________________________________
Dean of College
_____ Disapproved
____________________________________________
e-mail address
_____ Disapproved*
________________
Date
*In the case of a dean’s recommendation to disapprove a proposal, a written rationale for the recommendation to disapprove shall
be provided to the University Studies Subcommittee.
USS Recommendation
_____ Approved
_________________________________
University Studies Director
A2C2 Recommendation
_____ Disapproved
________________
Date
_____ Approved
_________________________________
Chair of A2C2
Faculty Senate Recommendation
_____ Disapproved
________________
Date
_____ Approved
_________________________________
President of Faculty Senate
_____ Disapproved
________________
Date
Academic Vice President Recommendation _____ Approved
_________________________________
Academic Vice President
Decision of President
_____ Approved
_________________________________
President
_____ No recommendation
_____ Disapproved
________________
Date
_____ Disapproved
________________
Date
Please forward to Registrar.
Registrar
_________________
Date entered
Please notify department chair via e-mail that curricular change has been recorded.
[Revised 9-05]
WINONA STATE UNIVERSITY
FINANCIAL AND STAFFING DATA SHEET
Course or Program______MATH 115 – College Algebra__________
Include a Financial and Staffing Data Sheet with any proposal for a new course, new program, or revised program.
Please answer the following questions completely. Provide supporting data.
1.
Would this course or program be taught with existing staff or with new or additional staff? If this course would be taught by
adjunct faculty, include a rationale.
This course would be taught by a combination of existing staff and/or adjunct faculty as is the case with most of our lower level
mathematics courses. However, most of the sections of this course will be offset on a one-to-one basis by a section of MATH
120 – Precalculus not being offered. New mathematics placement guidelines based on ACT along with the percentage
of incoming freshman who we anticipate that placing based upon five years of historic data are as follows:
ACT < 17
18 < ACT < 22
23 < ACT < 25
ACT > 26
MATH 050
MATH 100, 110, 115
or STAT 110
MATH 120, 130, 140
MATH 160
11.4%
43.3%
25.4%
19.8%
A much larger percentage of students will be eligible to take MATH 115 than MATH 120.
2.
What impact would approval of this course/program have on current course offerings? Please discuss number of sections of
current offerings, dropping of courses, etc.
We will offer fewer sections of MATH 120 as outlined above in (1). It is difficult at this point to predict what another course
in the ACT (18 – 22) range will do to the enrollments in courses like MATH 100 & 110 and STAT 110, but it likely it will have
some effect on them.
3.
What effect would approval of this course/program have on the department supplies? Include data to support expenditures for
staffing, equipment, supplies, instructional resources, etc.
The department may wish to consider the purchase of more graphing calculators for the departmental student loan program which
allows students to obtain a graphing calculator for use free of charge for the semester.
[Revised 9-05]
WINONA STATE UNIVERSITY
APPROVAL FORM
Routing form for new and revised courses and programs.
Course or Program__________________________________
Department Recommendation
_________________________________
Department Chair
________________
Date
Dean’s Recommendation _____ Approved
_________________________________
Dean of College
A2C2 Recommendation
_____ Disapproved
________________
Date
_____ Approved
_____ Disapproved
_________________________________
Chair of A2C2
________________
Date
Graduate Council Recommendation
(if applicable)
_____ Approved
_________________________________
Chair of Graduate Council
________________
Date
_________________________________
Director of Graduate Studies
________________
Date
Faculty Senate Recommendation
_____ Approved
_________________________________
President of Faculty Senate
_____ Disapproved
_____ Disapproved
________________
Date
Academic Vice President Recommendation _____ Approved
________________________________
Academic Vice President
Decision of President
_____ Approved
_________________________________
President
____________________________________________
e-mail address
_____ Disapproved
________________
Date
_____ Disapproved
________________
Date
Please forward to Registrar.
Registrar
_________________
Date entered
Please notify department chair via e-mail that curricular change has been recorded.
[Revised 9-05]
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