Phillips, Steven T.

English

University of Montana

University of MontanaScholarWorks at University of MontanaSyllabi Course SyllabiFall 9-1-2018M 121.50C: College AlgebraSteven T. PhillipsUniversity of Montana - Missoula, steven.phillips@umontana.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 CitationPhillips, Steven T., "M 121.50C: College Algebra" (2018). Syllabi. 9084.https://scholarworks.umt.edu/syllabi/9084		 	M121	 Section	 50C	 College	 Algebra	 Online	Department	 of	 Applied 	Arts	 and 	Sciences	Autumn		 2018	 Syllabus	 			 		 	 	 	 	 	 	 	 	 		 	 	 		 	 	 	 	 	 	 	 		 		 	 	 	 	 			 	 	 	 	 	 		 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 		 	 	 				 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 			 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 			 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 						 	 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 							Instructor: Steven	Phillips Office: MC 	326,	 Missoula College River Campus/Math 301 Mountain Campus Office Hours: By Appointment Email: steven.phillips@umontana.edu Textbook:	 Precalculus: Functions & Graphs, 4th EditionMark	DugopolskiAvailable as an e-book	through 	MyLabsPlus WELCOME TO	 COLLEGE ALGEBRA!	 M121 is	 a one-semester three-credit course,	intended	 to	 strengthen	 your	 algebra skills.	 Its main focus is the study of functionsand their inverses: polynomial, rational, exponential, and logarithmic. If you reallyunderstand how some of the basic concepts make our number system	 work, I thinkyou	 will be	 able	 to	 appreciate	 not only	 how useful,	 but	 also how	 beautiful	 andelegant mathematics can be. PLACEMENT in M121 is based on your individual mathematics assessment exam or	successful completion of M095 (Intermediate Algebra). College Algebra (M121) andCollege 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 a more	 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.		Algebra requires you to learn how to see patterns, how to generalize these patternsinto	 rules, and most importantly how to make connections and solve problems. Youalso learn valuable communication skills when explaining their reasoning to your peers.	 This	 course	 has	 been	 designed	 for	 you,	 the	 student.	 Your	 willing	 participation	 is	essential if you plan to succeed in this course. If we can have a motivated, friendly,and enthusiastic class, we will be able to try new things and have a good time while we 	all	learn	together.	 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 					 	 	 	 	 			 	 	 	 	 	 	 	 			 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 				 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 		 	 	 		 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 				 	 	 			 	 	 	 	 	 	 	 	 	 	 			 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 				 	 	 	 	 	 	 	 	 	 		 	 	 	 		 	 	 	 	 		 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 		 	 		 	 	 	 	 	 	 	 	 	 			 	 	 	 	 	 	 			KEY TO SUCCESS:	 It is impossible to stress strongly enough how important it is foryou to be diligent in your study habits. No matter how you feel about studyingmath, personal responsibility and a solid work ethic are great attributes to be ableto claim	 as your own. If you keep up with the work, the subject makes sense	 and	 the	challenges are manageable. A	 NOTE	 ON	 ONLINE	 LEARNING: Online classes are different from	 face-to-face	 classes,	 as	 you	 will soon	 discover	 (unless	 you	 already	 have	 experience	 with	 the	online format). You have to be self-motivated and responsible.	 We have broken the class down into weekly blocks; we strongly recommend thatyou watch or read the appropriate lessons and make every effort to keep up withthe homework. This course could easily take 12 hours per week of your time (if notmore), so be sure to budget it. Once you fall behind, it can be extremely difficult tocatch	up. We want	 to be crystal	 clear here: Online education, particularly	 in mathematics, is not for everybody.	 You have to be willing to struggle with the material andchallenge	 yourself	 in	 order	 to	 progress.	 Of course we will	 respond to your questionsand frame our answers as clearly as possible, but there is a frustration factorinvolved	 with	 that progress.	 Note	 also	 that because	 HW can	 be	 repeated	 four timesand has some built-in	 assistance,	 it boosts	 your	 grade.	 The	 online	 quizzes	 and	 tests,	however, tend to be more representative of your level of understanding. Only youknow how comfortable you are with the material. 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	of 	functions 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 andbe able to use each of these to model and solve applied 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 bothcombined and composite functions and their graphs, and determine theirdomains. 8. Identify	 one-to-one	 functions,	 find	 and	 verify	 inverse	 functions,	 and	 sketch	 their	graph.	9. Graph linear, polynomial, radical, rational, exponential, logarithmic and circularequations.	 COURSE 	CONTENT: 1.	 Equations, Inequalities, and Modeling (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 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 Their Applications, Rules of Logarithms, More Equations and Applications) CALCULATOR:	 A	 graphing calculator is required for M121; the Department ofApplied Arts and Sciences recommends and uses Texas Instruments models TI-83	 or	TI-84	 (regular	 or	 plus	 editions).	 Calculators with symbolic manipulation capabilities(e.	g.	TI-89,	 TI-92)	 will not be	 allowed	 in	 testing	 situations.	 MYLABSPLUS	HOMEWORK, QUIZZES,	AND 	TESTS: MyLabsPlus 	is 	an	innovative way for you to do homework with immediate feedback. Every section of the	M121	text covered in class has a corresponding assignment in MyLabsPlus. Homework canbe submitted up to three times until the unit closes. NOTE that these assignmentsand chapters are open for specific times and in a specific order. Check theMyLabsPlus	 calendar	 frequently	 to	 be	 sure	 you are	 keeping	 current with	 your	assignments. Late assignments are subject to a 20% late penalty. Late homeworkassignments can be submitted up until 5 PM on the last day of regular classmeetings. You must keep up with the 	progression	in	order to 	succeed 	in	this 	course.		 There	 is	 an	 online	 chapter	 quiz	 for	 each	 of	 the	 chapters	 covered	 in	 class.	Each quiz can be taken three times and 	the 	highest	score 	is 	the 	recorded 	score.	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 		 	 	 	 				 	 	 	 	 	 	 	 	 	 	 	 				 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 	 	 		 	 			 	 	 	 	 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 		 	 			 	 	 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 		 			 	 	 	 	 		 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 		 	 	 	 	 		 	 	 	 	 		 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 		 	 	 	 		 			 	 	 	 	 	 	 	 	 		 		 	 	 	 		 	 	 	 	 	 	 	 	 	 	 			There	 are	 four timed online tests, which are different from	 the quizzes informat. Tests are meant to give you an opportunity to demonstrate what you havelearned, and are not intended to intimidate you. The online tests are similar to thetests we give in my face-to-face	 classes,	 but we	 allow extra time to allow for theinevitable computer issues that arise. We strongly suggest that you prepare	 for	 the	online tests the same way you would for an in-class	 test:	 review your	 notes,	 write	down any formulas you need or questions that often give you trouble for easyreference. Not only	 will this	 help you solidify	 your	 understanding for	 the	 test, but itwill	also 	help	you	prepare 	for 	the final, which is	 an IN-CLASS	exam. You can find the MyLabsPlus icon at the top of the my.umt.edu page: http://my.umt.edu/. FINAL EXAM: There	 is	 a mandatory face-to-face final exam	 for this course. The final exam	 for this class is comprehensive and is worth 15% of your course grade.The exam	 will be given at Missoula College River Campus. You may have a page(8½” x 11”)	 of	 notes	 (both	 sides)	 to	 assist you	 and,	 of	 course,	 your	 calculator	 (no	 TI-89	 or	 -92). Because this is an online class, some students will not be able to take thefinal exam	 in the scheduled time and place; those students need	 to	 arrange	 for a	proctor to administer the exam. More information about proctors will be providedduring the semester. TUTORING:	 Math tutoring	 is available for all	 UM	 students.	 Check	 for hours at	 theLearning Center	 at the Missoula College campus (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	 Montana assures	 equal access	 to	 instruction	 through	 collaboration	 between	 students	 with	 disabilities,	 instructors,	and Disability Services for Students (DSS). “Reasonable” means the University permits no fundamental alterations of academic standards or retroactive modifications. 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 from	 DSS. You are responsible formaking the necessary arrangements with DSS.	 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	 http://www.umt.edu/vpsa/policies/student_conduct.php Academic misconduct is subject to an academic penalty by the instructor and a	 disciplinary sanction	 by theuniversity.	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 		 	 	 					 	 	 	 	 	 	 		 	 		 	 			 	 	 		 	 	 	 	 	 		 	 	 	 	 	 		 	 		 				 	 	 	 	 	 	 	 	 				 	 	 			 	 	 	 	 	 	 	 	 	 	 		 	 	 	 	 	 	 	 	 	 	 			 	 	 	 		 	 	 	 	 	 	 	 	 		 	 	 	 										GRADE OPTION: M121 must be completed with a grade of C- or	 better	 in	 order	 to	contribute towards satisfying the UM Math Literacy requirement. Auditing M121 ortaking	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 	F 	90-100% 	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 for their courses, to makeinformed choices and to regard those choices as semester long commitments andobligations.	 Documented justification is	 required for dropping	 courses	 by petition.		 Some examples of documented circumstances that may merit approval are: • Error 	in	registration, • Accident or illness, • Family 	emergency,	or	Other 	circumstances	 beyond 	student’s 	control. 		Reasons	that	are	not	satisfactory	include:	 • forgetting 	to	 turn 	in 	a 	drop 	slip	 • Protecting	a	student’s	grade	point average	The 	 opportunity 	 to 	 drop 	 a 	 course	 for 	 the 	 current 	 term	 ends 	 on 	 the 	 last 	 day 	 of	instruction 	 before 	 scheduled 	 final 	 exams. 	 	 Dropping 	 a 	 course 	 taken 	 in 	 a 	 previous	term	 or 	altering 	grading 	option 	or 	audit 	status 	for 	such 	a 	course 	is 	not 	allowed. 		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).	 			 	 	 			 	 		 	 	 	 	 		 	 	 	 	 	 		 	 	 		 	 	 	 	 	 		 	 	 	 		 	 	 	 	 	 		 	 				 	 		 		 	 	 	 	 	 		 		 	 		 		 	 	 	 	 	 		 	 		 	 	 	 	 	 		 		 	 		 		 	 	 	 	 	 			 	 		 		 	 	 	 	 	 		 	 		 	 	 	 	 	 		 		 	 		 		 	 	 	 	 	 		 		 	 	 	 	 	 			 	 		 		 	 	 	 	 	 		 	 		 	 	 	 	 	 		 		 	 		 		 	 	 	 	 	 		 	 		 	 	 	 	 	 			 	 		 		 	 	 	 		 	 	 	 				 			 						M121	Online	 Fall	 2018 Course Outline: Semester Week By	 WeekSections Covered Online Test Date Range Week 1: Aug 27 - Aug 31§1.1, 1.2, 1.3 Week 2: Sept 4 – Sept 7§1.3, 1.4 (Skip 1.5) Week 3: Sept 10 – Sept 14§1.6, 1.7, 1.8 Chapter 1	 Test OpensSeptember 12 Week 4: Sept 17 – Sept 21§2.1, 2.2 Chapter 1	 Test ClosesSeptember 22 Week 5: Sept 24 – Sept 28§2.3, 2.4 Week 6: Oct 1 – Oct 5 §2.5, 2.6 Chapter 2	 Test OpensOctober 01 Week 7: Oct 8 – Oct 12 §3.1 Chapter 2	 Test ClosesOctober 12 Week 8: Oct 15 – Oct 19 §3.2, 3.3 Week 9: Oct 22 – Oct 26 §3.4, 3.5 Chapter 3	 Test OpensOctober 22 Week 10: Oct 29 – Nov 2 3.5,	 3.6 Week 11: Nov 5 – Nov 9 3.6 Chapter 3	 Test ClosesNovember 13 Week 12: Nov 12 – Nov 16 §4.1, 4.2 Week 13: Nov 19 – Nov 23 §4.2 §4.3 Chapter 4	 Test OpensNovember 16 Week 14: Nov 26 – Nov 30 §	 4.4 Week 15: Dec 3 – Dec 7 Review Chapter 4	 Test ClosesDecember 7 Final Exam- Face-to-Face at Missoula	 College December 10 – December 14 TBA 

M 121.50C: College Algebra

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M 121.50C: College Algebra

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