Miller, Blake P.

English

University of Montana

University of MontanaScholarWorks at University of MontanaSyllabi Course Syllabi1-2015M 121.01C: College AlgebraBlake P. MillerUniversity of Montana - Missoula, Blake.Miller@mso.umt.eduLet us know how access to this document benefits you.Follow this and additional works at: https://scholarworks.umt.edu/syllabiThis Syllabus is brought to you for free and open access by the Course Syllabi at ScholarWorks at University of Montana. It has been accepted forinclusion in Syllabi by an authorized administrator of ScholarWorks at University of Montana. For more information, please contactscholarworks@mso.umt.edu.Recommended CitationMiller, Blake P., "M 121.01C: College Algebra" (2015). Syllabi. 2909.https://scholarworks.umt.edu/syllabi/2909— '"•v U N I V E R S I T Y  O Fy M O NTAN AInstructor: Blake M iller Office: GH 07, Missoula College East Campus Office Hours: By Appointm ent Email: blakel.m iller@ um ontana.eduTextbook: Precalculus: Functions & Graphs, 4th Edition Mark DugopolskiAvailable as an e-book through MyLabsPlusWELCOME TO COLLEGE ALGEBRA! M121 is a one-semester three-credit course, intended to  strengthen your algebra skills. Its main focus is the study o f functions and the ir inverses: polynomial, rational, exponential, and logarithm ic. If you really understand how some o f the basic concepts make our number system work, I th ink  you w ill be able to  appreciate not only how useful, but also how beautiful and elegant mathematics can be. I hope we w ill have some fun together!PLACEMENT in M121 is based on your individual mathematics assessment (ALEKS level 4) or successful completion o f M095 (Interm ediate Algebra). College Algebra (M121) and College Trigonom etry (M122) together satisfy the same degree requirements as Precalculus (M151). Credit is not allowed fo r both M121 and M151.Be certain th a t you are enrolled in the proper m ath class a t the beginning o f the semester. You may n o t be able to switch in to  amore appropriate class a fte r the f irs t week. I f  you have any concerns about your placement see me im m ediately.WHY DO WE STUDY ALGEBRA? There is intrinsic value in studying algebra, and I would argue tha t much o f it is relevant to  the realworld. Algebra requires you to  learn how to  see patterns, how to  generalize these patterns into rules, and most im portan tly  how to make connections and solve problems. You also learn valuable comm unication skills when explaining the ir reasoning to  your peers. The tru th  is mastering algebra is also like doing push-ups. There's nothing about push-ups tha t you're going to  need to  know later in life or tha t you would have to  employ in some way on a job. But the fact remains: push-ups make your body stronger. And in just tha t way, algebra makes your brain stronger. (Adapted from  To Learn the Value o f Algebra, Just Ask an Eighth Grader. h ttp ://w w w .hu ffing tonpost.com /rvan-ha ll/post 3732 b 1749256.htm l)This course has been designed fo r you, the student. Your w illing participation is essential if you plan to  succeed in this course. If we can have a motivated, friendly, and enthusiastic class, we w ill be able to  try  new things and have a good tim e while we all learn together.KEY TO SUCCESS: It is impossible to  stress strongly enough how im portant it is fo r you to  be diligent in your study habits. Pay attention and cultivate a positive a ttitude ! No m atter how you feel about studying math, personal responsibility and a solid w ork ethic are great a ttributes to  be able to  claim as your own. You are an im portant part o f this class — you can make it lively and interesting or silent and boring. Develop a positive working relationship w ith  your classmates and instructor. If you keep up w ith  the work, the subject makes sense and the challenges are manageable. If you feel threatened by math, practice some o f the techniques used to  reduce math anxiety; there are links at the end o f the syllabus.COURSE DESCRIPTION: M 121 - College Algebra (From h ttp ://w w w .um t.edu /ca ta log /ca t/cas /m a th .h tm l)Offered autumn and spring. Prereq. M 095 (MAT 100) or ALEKS placement >  4. Intended to  strengthen algebra skills. The study of functions and the ir inverses; polynomial, rational, exponential, and logarithm ic functions. Credit not allowed fo r both M 121 (MATH 111, MAT 118), and M 151 (MATH 121, MAT 120).M121 Section 01C College Algebra Department o f Applied Arts and Sciences Spring 2015 SyllabusLEARNING GOALS: Upon successful com pletion o f the course, students w ill be able to:1. Use factoring to  solve, find zeros or x-intercepts o f polynomial, rational polynomial, and algebraic equations or functions.2. Solve linear, quadratic, and rational exponential and logarithm ic equations and be able to  use each o f these to  model and solve applied problems.3. Solve absolute value equations and inequalities and express solutions o f inequalities in interval notation.4. Identify relations vs. functions; use function notation; identify domain, range, intervals o f increasing/decreasing/constant values; algebraically and graphically identify even and odd functions.5. Find zeros, asymptotes, and domain o f rational functions.6. Evaluate and sketch graphs o f piecewise functions and find the ir domain and range.7. Use algebra to  combine functions and form  composite functions, evaluate both combined and composite functions and the ir graphs, and determ ine the ir domains.8. Identify one-to-one functions, find and verify inverse functions, and sketch the ir graph.9. Graph linear, polynomial, radical, rational, exponential, logarithm ic and circular equations.COURSE CONTENT:1. Equations, Inequalities, and M odeling (Equations in One Variable, Constructing Models to  Solve Problems, Equations and Graphs in Two Variables, Linear Equations in Two Variables, Quadratic Equations, Linear and Absolute Value Inequalities)2. Functions and Graphs (Functions, Graphs o f Relations and Functions, Families o f Functions, Transformations, and Symmetry, Operations w ith  Functions, Inverse Functions, Constructing Functions w ith  Variation)3. Polynomial and Rational Functions (Quadratic Functions and Inequalities, Zeros o f Polynomial Functions, The Theory o f Equations, Miscellaneous Equations, Graphs o f Polynomial Functions, Rational Functions and Inequalities)4. Exponential and Logarithmic Functions (Exponential Functions and Their Applications, Logarithmic Functions and Their Applications, Rules o f Logarithms, More Equations and Applications)CLASS ATTENDANCE: Attendance is not part o f your final grade in M121, but no one can teach you if you are not in class engaged and ready to  learn. Focus! Come to  class and come prepared. Do your hom ework regularly; don 't fall behind. You w ill be more successful if you study every day rather than trying to  cram. You cannot expect to  succeed in this course if you miss several classes; im portant in form ation may be shared at any tim e tha t may not be posted on MyLabsPlus.University o f Montana policy states:Students who are registered fo r  a course bu t do no t a ttend the f irs t tw o class meetings m ay be reguired by the instructor to drop the course. This rule allows fo r  early identification o f class vacancies to perm it o ther students to add classes. Students not allowed to remain must complete a drop form  or drop the course on the internet (htto://cvberbear. umt. edu) to avoid receiving a failing  grade. Students who know they w ill be absent should contact the instructor in advance.Students are expected to a ttend a ll class meetings and complete a ll assignments fo r courses in which they are enrolled. Instructors may excuse b rie f and occasional absences fo r  reasons o f illness, injury, fa m ily  emergency, o r partic ipation in a University sponsored activity. (University sponsored activities include fo r  example, fie ld  trips, ASUM service, music o r drama performances, and in tercollegiate a th le tics.) Instructors shall excuse absences fo r  reasons o f m ilita ry  service or m andatory public service.CALCULATOR: A graphing calculator is required fo r M121; the Departm ent o f Applied Arts and Sciences recommends and uses Texas Instruments models TI-83 orT I-84 (regular or plus editions). Calculators w ith  symbolic m anipulation capabilities (e. g. TI-89, TI-92) w ill not be allowed in testing situations. Be sure to  check out the Pearson Tl calculator tu to ria l under Tools fo r Success on MLP!MYLABSPLUS HOMEWORK and QUIZZES: MyLabsPlus is an innovative way fo r you to  do hom ework w ith  immediate feedback. Every section o f the M121 text covered in class has a corresponding assignment in MyLabsPlus. Homework questions can be submitted up to  three times until the assignment closes.There is a chapter quiz fo r each o f the chapters covered in class as well; each quiz can be taken tw ice and the highest score is the recorded score. Note: these assignments and chapters are open fo r specific times and in a specific order. Check the MyLabsPlus calendar frequently to  be sure you are keeping current w ith  your assignments. You must keep up w ith  the progression in order to succeed in this course. Late hom ework is subject to a 20% penalty. Mathematics is more than crunching numbers, and learning is a process. You can find the MyLabsPlus icon at the top  o f the my.umt.edu page: h ttp ://m v .u m t.e d u /.TESTS: There will be fou r tests given over the course o f the semester. The scheduled dates are shown on the Course Outline and are not flexible. If arrangements fo r making up a test have not been made w ith in  a week, the test grade is autom atically set to  zero. You are allowed to  use a calculator and one 8 % "x ll"  page o f notes (fron t and back). You are not permitted to use a cell phone.Corrected tests w ill be returned w ith in  one week after the test date. If you have questions regarding the grading o f your test, please w ait until a fter class to  discuss it.FINAL EXAM: The final exam fo r this class w ill be given in class during finals week. You are allowed to  use a calculator and one 8 % "x ll"  page o f notes (fron t and back). You are not permitted to use a cell phone. The final exam is optional fo r any student who has an A in the course on the last day o f classes.TUTORING: Math tu to ring  is available fo r all UM students. Check fo r hours at the Learning Center at the Missoula College campus (AD 06; 243-7826) and at math@ Mansfield (Mansfield Library) on the M ountain Campus: h ttp :/ /w w w . umt. edu/m ath/M LC /defau lt. h tm .REASONABLE ACCOMMODATIONS: Students w ith  disabilities may request reasonable modifications. The University o f Montana assures equal access to  instruction through collaboration between students w ith  disabilities, instructors, and Disability Services fo r Students (DSS). "Reasonable" means the University perm its no fundam ental alterations o f academic standards or retroactivemodifications. For more inform ation, please consult h ttp ://w w w .um t.edu /d isab ilitv . Examples o f reasonable accommodations includeextra tim e or use o f a quiet room fo r tests and/or quizzes. To qualify fo r reasonable accommodations you must provide a le tte r from  DSS. You are responsible fo r making the necessary arrangements w ith  DSS (for the M ounta in Campus) or the ASC (for the Missoula College campus). If you have any questions, please contact me.ACADEMIC CONDUCT: All students must practice academic honesty as defined by the Student Conduct Code, available at h ttp ://w w w .um t.edu /vpsa /po lic ies /s tuden t conduct.php Academic misconduct is subject to  an academic penalty by the instructor and a disciplinary sanction by the university.GRADE OPTION: M121 must be completed w ith  a grade o f C- or be tter in order to  contribute towards satisfying the UM Math Literacy requirem ent. Auditing M121 or taking it w ith  the C/NC option w ill not fu lfill the requirement.GRADING POLICIES:Your final grade w ill be computed as follows:MyLabsPlus homework: 25%MyLabsPlus quizzes: 20%Tests: 40%Final exam: 15%Letter grades correspond to  numerical scores according to  this plan:A B C D F90-100% 80-89% 70-79% 60-69% Below 60%DROPPING AND ADDING COURSES OR CHANGING SECTIONS, GRADING OR CREDIT STATUS:Students are expected, when selecting and registering fo r the ir courses, to  make inform ed choices and to  regard those choices as semester long com m itm ents and obligations.Documented justification is required for dropping courses by petition. Some examples o f documented circumstances tha t may m erit approval are: e rror in registration, accident or illness, fam ily emergency, or o ther circumstances beyond the student's control. Reasons tha t are not satisfactory include forgetting to  turn  in a drop slip and protecting a student's grade point averageThe opportun ity  to  drop a course fo r the current term  ends on the last day o f instruction before scheduled final exams. Dropping a course taken in a previous term  or altering grading option or audit status fo r such a course is not allowed. The only exceptions are fo r students who have received a grade o f NF (never attended).INCOMPLETES: A grade o f incomplete w ill only be considered when all three o f the fo llow ing are true:1. The student has been in regular attendance and passing up to  three weeks before the end o f the academic semester.2. Factors beyond the student's control make it impossible to  complete the course on time.3. The instructor and the student agree tha t there is a reasonable probability tha t the student w ill be able to  make-up the work required to  complete the course and specific arrangements are drawn up and signed by both.A student who receives an incomplete has one calendar year to  resolve the incomplete (I) before it autom atically reverts to  a failing grade (F).M121 SPRING 2015 COURSE OUTLINE: -Jan 26 Jan 28 Jan 30Intro to  M121 §1.1 §1.2Feb 2 Feb 4 Feb 6§1.3 §1.4 §1.6Feb 9 Feb 11 Feb 13§1.7 §1.8 ReviewFeb 16 Feb 18 Feb 20Presidents Day Chapter 1 Test §2.1Feb 23 Feb 25 Feb 28§2.2 §2.3 §2.4Mar 2 Mar 4 M ar 6§2.5 §2.6 ReviewMar 9 M ar 11 Mar 13Chapter 2 Test §3.1 §3.2M ar 16 M ar 18 Mar 20§3.2 §3.3 §3.3, 3.4M ar 23 M ar 25 Mar 27§3.4 §3.5 §3.5, 3.6Mar 3 0 - A p r  3Spring BreakApr 6 Apr 8 Apr 10§3.6 §3.6 ReviewApr 13 Apr 15 Apr 17Chapter 3 Test §4.1 §4.1Apr 20 Apr 22 Apr 24§4.2 §4.3 §4.3Apr 27 Apr 29 May 1§4.4 §4.4 ReviewMay 4 May 6 May 8Chapter 4 Test Review Reviewts. Final Exams May 11th -  15thThe final fo r this class is scheduled fo r Wednesday, May 13th from  10:10 to  12:10 in this classroom.See the MyLabsPlus calendar to  find the opening and closing dates fo r MyLabsPlus tests and homework.

M 121.01C: College Algebra

University of Montana ScholarWorks at University of Montana Syllabi Course Syllabi Spring 1-2016 M 121.01C: College Algebra Blake P. Miller University of Montana - Missoula, Blake.Miller@mso.umt.edu Follow this and additional works at: https://scholarworks.umt.edu/syllabi Let us know how access to this document benefits you. Recommended Citation Miller, Blake P., "M 121.01C: College Algebra" (2016). Syllabi. 4063. https://scholarworks.umt.edu/syllabi/4063 This Syllabus is brought to you for free and open access by the Course Syllabi at ScholarWorks at University of Montana. It has been accepted for inclusion in Syllabi by an authorized administrator of ScholarWorks at University of Montana. For more information, please contact scholarworks@mso.umt.edu.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                M121 Section __ College AlgebraDepartment of Applied Arts and SciencesSpring 2016 SyllabusInstructor: Blake MillerOffice: GH 07, Missoula College East CampusOffice Hours: By Appointment OnlyEmail: blake1.miller@umontana.eduTextbook: Precalculus: Functions & Graphs, 4th EditionMark DugopolskiAvailable as an e-book through MyLabsPlusWELCOME TO COLLEGE ALGEBRA! M121 is a one-semester three-credit course, intended to strengthen your algebra skills. Its mainfocus is the study of functions and their inverses: polynomial, rational, exponential, and logarithmic. If you really understand howsome of the basic concepts make our number system work, I think you will be able to appreciate not only how useful, but also howbeautiful and elegant mathematics can be.PLACEMENT in M121 is based on your individual mathematics assessment (ALEKS level 4) or successful completion of M095(Intermediate Algebra). College Algebra (M121) and College Trigonometry (M122) together satisfy the same degree requirements asPrecalculus (M151). Credit is not allowed for both M121 and M151.Be certain that you are enrolled in the proper math class at the beginning of the semester. You may not be able to switch into amore appropriate class after the first week. If you have any concerns about your placement see me immediately.WHY DO WE STUDY ALGEBRA? There is intrinsic value in studying algebra, much of which is relevant to the real world. Algebrarequires you to learn how to see patterns, how to generalize these patterns into rules, and most importantly how to make connectionsand solve problems. You also learn valuable communication skills when explaining your reasoning to your peers. The truth is masteringalgebra is also like doing push-ups. There's nothing about push-ups that you're going to need to know later in life or that you wouldhave to employ in some way on a job. But the fact remains: push-ups make your body stronger. And in just that way, algebra makesyour brain stronger. (Adapted from To Learn the Value of Algebra, Just Ask an Eighth Grader: http://www.huffingtonpost.com/ryan-hall/post_3732_b_1749256.html)This course has been designed for you, the student. Your willing participation is essential if you plan to succeed in this course. Ifwe can have a motivated, friendly, and enthusiastic class, we will be able to try new things and have a good time while we all learntogether.KEY TO SUCCESS: It is impossible to stress strongly enough how important it is for you to be diligent in your study habits. Pay attention	and cultivate a positive attitude! Nomatter how you feel about studying math, personal responsibility and a solid work ethic are great	aƩributes to be able to claim as your own. You are an important part of this class ― you can make it lively and interesƟng or silent	and boring. Develop a positive working relationship with your classmates and instructor. If you keep up with the work, the subject	makes sense and the challenges are manageable. If you feel threatened by math, practice some of the techniques used to reducemath	anxiety.	COURSE DESCRIPTION:M 121 - College Algebra (From http://www.umt.edu/catalog/cat/cas/math.html)Offered autumn and spring. Prereq. M 095 (MAT 100) or ALEKS placement ≥ 4. Intended to strengthen algebra skills. The study offunctions and their inverses; polynomial, rational, exponential, and logarithmic functions. Credit not allowed for both M 121 (MATH	111, MAT 118), and M 151 (MATH 121, MAT 120).	                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             LEARNING GOALS: Upon successful completion of the course, students will be able to:1.		 Use factoring to solve, find zeros or x-intercepts of polynomial, rational polynomial, and algebraic equations or functions.2.		 Solve linear, quadratic, and rational exponential and logarithmic equations and be able to use each of these to model and solveapplied problems.3.		 Solve absolute value equations and inequalities and express solutions of inequalities in interval notation.4.		 Identify relations vs. functions; use function notation; identify domain, range, intervals of increasing/decreasing/constant values;algebraically and graphically identify even and odd functions.5.		 Find zeros, asymptotes, and domain of rational functions.6.		 Evaluate and sketch graphs of piecewise functions and find their domain and range.7.		 Use algebra to combine functions and form composite functions, evaluate both combined and composite functions and theirgraphs, and determine their domains.8.		 Identify one-to-one functions, find and verify inverse functions, and sketch their graph.9.		 Graph linear, polynomial, radical, rational, exponential, logarithmic and circular equations.COURSE CONTENT:1.		 Equations, Inequalities, and Modeling (Equations in One Variable, Constructing Models to Solve Problems, Equations and Graphsin Two Variables, Linear Equations in Two Variables, Quadratic Equations, Linear and Absolute Value Inequalities)2.		 Functions and Graphs (Functions, Graphs of Relations and Functions, Families of Functions, Transformations, and Symmetry,Operations with Functions, Inverse Functions, Constructing Functions with Variation)3.		 Polynomial and Rational Functions (Quadratic Functions and Inequalities, Zeros of Polynomial Functions, The Theory of Equations,Miscellaneous Equations, Graphs of Polynomial Functions, Rational Functions and Inequalities)4.		 Exponential and Logarithmic Functions (Exponential Functions and Their Applications, Logarithmic Functions and TheirApplications, Rules of Logarithms, More Equations and Applications)CLASS ATTENDANCE: Attendance is not part of your final grade in M121, but no one can teach you if you are not in class engagedand ready to learn. Come to class and come prepared. Do your homework regularly; don’t fall behind. You will be more successful ifyou study every day rather than try to cram. You cannot expect to succeed in this course if you miss several classes; importantinformation may be shared at any time that may not be posted on MyLabsPlus.University of Montana policy states:Students who are registered for a course but do not attend the first two class meetings may be required by the instructor to dropthe course. This rule allows for early identification of class vacancies to permit other students to add classes. Students not allowed toremain must complete a drop form or drop the course on the internet (http://cyberbear. umt. edu) to avoid receiving a failinggrade. Students who know they will be absent should contact the instructor in advance.Students are expected to attend all class meetings and complete all assignments for courses in which they are enrolled.Instructors may excuse brief and occasional absences for reasons of illness, injury, family emergency, or participation in a Universitysponsored activity. (University sponsored activities include for example, field trips, ASUM service, music or drama performances, andintercollegiate athletics. ) Instructors shall excuse absences for reasons of military service or mandatory public service.CALCULATOR: A graphing calculator is required for M121; the Department of Applied Arts and Sciences recommends and uses TexasInstruments models TI-83 or TI-84 (regular or plus editions). Calculators with symbolic manipulation capabilities (e. g. TI-89, TI-92) willnot be allowed in testing situations. Be sure to check out the Pearson TI calculator tutorial under Tools for Success on MLP!MYLABSPLUS HOMEWORK and QUIZZES:MyLabsPlus is an innovative way for you to do homework with immediate feedback. Everysection of the M121 text covered in class has a corresponding assignment in MyLabsPlus. Homework questions can be submitted upto three times until the assignment closes. There is a chapter quiz for each of the chapters covered in class; each quiz can be takentwice and the highest score is the recorded score. NOTE: these assignments and chapters are open for specific times and in a specificorder. Check the MyLabsPlus calendar frequently to be sure you are keeping current with your assignments. You must keep up withthe progression in order to succeed in this course. Late homework is subject to a 20% penalty. Late homework assignments can besubmitted up until 5 PM on the last day of regular class meetings.You can find the MyLabsPlus icon at the top of the my.umt.edu page: http://my.umt.edu/.TESTS: There will be four tests given over the course of the semester. The scheduled dates are shown on the Course Outline and arenot flexible. If arrangements for making up a test have not been made within a week, the test grade is automatically set to zero. Youare allowed to use a calculator and one 8½”x11” page of notes (front and back). You are not permitted to use a cell phone.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Corrected tests will be returned within one week after the test date. If you have questions regarding the grading of your test, pleasewait until after class to discuss it.FINAL EXAM: The final exam for this class will be given in class during finals week. You are allowed to use a calculator and one8½”x11” page of notes (front and back). You are not permitted to use a cell phone. The final exam is optional for any student whohas an A in the course on the last day of classes.TUTORING:Math tutoring is available for all UM students. Check for hours at the Learning Center at the Missoula College campus (AD06; 243-7826) and at math@Mansfield (Mansfield Library) on the Mountain Campus: http://www. umt. edu/math/MLC/default. htm.REASONABLE ACCOMMODATIONS: Students with disabilities may request reasonable modifications. The University of Montanaassures equal access to instruction through collaboration between students with disabilities, instructors, and Disability Services forStudents (DSS). “Reasonable” means the University permits no fundamental alterations of academic standards or retroactivemodifications. For more information, please consult http://www.umt.edu/disability. Examples of reasonable accommodations includeextra time or use of a quiet room for tests and/or quizzes. To qualify for reasonable accommodations you must provide a letter fromDSS. You are responsible for making the necessary arrangements with DSS (for the Mountain Campus) or the ASC (for the MissoulaCollege campus). If you have any questions, please contact me.ACADEMIC CONDUCT: All students must practice academic honesty as defined by the Student Conduct Code, available athttp://www.umt.edu/vpsa/policies/student_conduct.php Academic misconduct is subject to an academic penalty by the instructorand a disciplinary sanction by the university.GRADE OPTION: M121 must be completed with a grade of C- or better in order to contribute towards satisfying the UMMath Literacyrequirement. Auditing M121 or taking it with the C/NC option will not fulfill the requirement.GRADING POLICIES:Your final grade will be computed as follows:MyLabsPlus homework: 20%MyLabsPlus quizzes: 25%Tests: 40%Final exam: 15%Letter grades correspond to numerical scores according to this plan:A B C D FBelow 60%90-100% 80-89% 70-79% 60-69%DROPPING AND ADDING COURSES OR CHANGING SECTIONS, GRADING OR CREDIT STATUS:Students are expected, when selecting and registering for their courses, to make informed choices and to regard those choices assemester long commitments and obligations. Documented justification is required for dropping courses by petition. Some examplesof documented circumstances that may merit approval are: error in registration, accident or illness, family emergency, or othercircumstances beyond the student's control. Reasons that are not satisfactory include forgetting to turn in a drop slip and protectinga student’s grade point average The opportunity to drop a course for the current term ends on the last day of instruction beforescheduled final exams. Dropping a course taken in a previous term or altering grading option or audit status for such a course is notallowed. The only exceptions are for students who have received a grade of NF (never attended).INCOMPLETES: A grade of incomplete will only be considered when all three of the following are true:1. The student has been in regular attendance and passing up to three weeks before the end of the academic semester.  2. Factors beyond the student’s control make it impossible to complete the course on time.  3. The instructor and the student agree that there is a reasonable probability that the student will be able to make-up the work required to complete the course and specific arrangements are drawn up and signed by both.  A student who receives an incomplete has one calendar year to resolve the incomplete (I) before it automatically reverts to a failing grade (F).  

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M 121.01C: College Algebra

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