Math 104: Intermediate Algebra

Prof. Andrew Ross

Summer Semester 2017

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Basic Information


This version posted on: 2017-05-03

General Description

Course Catalog Entry

A review of elementary algebra and a continuation into the study of functions, graphs and quadratic equations. [also, exponential and logarithmic functions]

Prerequisites and Follow-On Courses

Prerequisite: Placement, or at least C in either of the following courses: MATH 098 or MATH 098B

Follow-on courses: Here is a partial list of classes that require Math 104 as a direct prerequisite (that is, Math 098 is not sufficient)

CHEM 121 - General Chemistry I
COSC 111 - Introduction to Programming 
ESSC 470 - Quantitative Methods in Geography and Geology 
ET 100 - Introduction to Engineering Technology 
ET 101 - Introduction to Engineering Technology Computing 
MATH 105 - College Algebra
MATH 107 - Plane Trigonometry
MATH 119 - Applied Calculus
PSY 205 - Quantitative Methods in Psychology 
SOCL 250 - Quantitative Applications in Sociology
TM 306 - Quantitative Analysis of Sustainability Issues

Class Meetings

Section 0, CRN 50349: Mon/Tue/Thu  1:00- 2:50 in Pray-Harrold 322 

Brief schedule overview: 3 credit hours.

Class meetings will be mostly interactive lectures, with some time to work on problems in class, and perhaps some time to go over problems from the homework.

During a regular semester (Fall or Winter), I expect that you will work on Math 104 for 6 to 10 hours per week outside of class. During a double-pace semester, you should double that number, of course.

Instructor information

Professor Andrew Ross
Pray-Harrold 515m
andrew.ross@emich.edu
http://people.emich.edu/aross15/
(734) 487-1658, but I strongly prefer e-mail instead of phone contact.
Math department main office: Pray-Harrold 515, (734) 487-1444

Office Hours and other help

Here is my complete schedule.
Mon/Tue/Thu:
	10:00-10:30 office hour
	10:30-12:20 Math 319 Pray-Harrold 503
	12:20- 1:00 office hours and lunch
	1:00- 2:50 Math 104 Pray-Harrold 321
	2:50-3:50 office hours
Wed/Fri:
	no schedule--I'm often on campus, though.
	I have various meetings to go to.
	Send e-mail to make an appointment.

I am also happy to make appointments if you cannot come to the general office hours. Please send me e-mail to arrange an appointment. However, I am not available when I am teaching other classes, as you can see in the schedule above.

The Mathematics Student Services Center (or "Math Lab") is also here to help you, in Pray-Harrold 411 Their hours are posted here. Please give them a call at 734-487-0983 or just drop by.

Another resource on campus is the Holman Success Center, formerly the Holman Learning Center.

Teaching philosophy, interests

My general math interests are in Industrial Engineering and Operations Research (IEOR). In particular, I do research in applied probability and queueing theory, the mathematics of predicting how long it takes to wait in line for service. You can learn more about this in Math 319 and 419 when I teach them. I also enjoy teaching about cost-minimizing/profit-maximizing methods called Non-Linear Programming (NLP) in Math 560, Optimization Theory.

Required materials

Textbook: Intermediate Algebra: Concepts and Applications, 9th edition, via the online homework.

Online homework: We will use Canvas to access MyMathLab, which includes an electronic version of the textbook. The cost is about $105.

You are expected to keep an eye on your scores using MyMathLab, and get extra help if your scores indicate the need.

A lot of our work will be done on computers. If you had been waiting for a good reason to buy a laptop, this is it.

Course Web Pages

Materials such as practice exams, practice exam solution keys, and some worksheets will be posted inside Canvas.

Supplementary Materials

A free set of video lectures (and no-risk exercises!) are available from Khan Academy

Course Content

Course Goals

Outline/schedule

Date/Time	Day	Chapter	Topic	
2017-05-04 13:00	Thu	Introductions, Syllabus		
2017-05-04 13:15	Thu	1.4	Problem Solving	
2017-05-04 13:30	Thu	1.5	Solving Formulas	
2017-05-04 13:45	Thu	1.6	Properties of Exponents	
2017-05-04 14:00	Thu	1.7	Scientific Notation	
2017-05-04 14:15	Thu	2.2	Functions: domain and range, graphs	
2017-05-04 14:30	Thu	2.2	Functions: notation and equations, piecewise	
2017-05-08 13:00	Mon	2.3	Linear: Slope-Intercept form	
2017-05-08 13:15	Mon	2.3	Graphing, Pos/Neg slope	
2017-05-08 13:30	Mon	2.3	Units of slope, avg rate of change	
2017-05-08 13:45	Mon	2.4	Horiz/Vert Lines, parallel/perpendicular	
2017-05-08 14:00	Mon	2.4	Graphing via Intercepts, solving equations graphically, standard form	
2017-05-08 14:15	Mon	2.5	Point-Slope Form, finding eqn of a line	
2017-05-08 14:30	Mon	2.5	interpolation vs extrapolation	
2017-05-09 13:00	Tue	3.1	2-Variable linear systems, setup	
2017-05-09 13:15	Tue	3.1	identifying solutions	
2017-05-09 13:30	Tue	3.1	solving graphically	
2017-05-09 13:45	Tue	3.2	Substitution method	
2017-05-09 14:00	Tue	3.2	Elimination method	
2017-05-09 14:15	Tue	3.3	total-value and mixture problems	
2017-05-09 14:30	Tue	3.3	motion problems	
2017-05-11 13:00	Thu	4.1	Inequalities: solutions, interval notation	
2017-05-11 13:15	Thu	4.1	Addition principle, multiplication principle	
2017-05-11 13:30	Thu	4.2	Intersections, Unions	
2017-05-11 13:45	Thu	4.2	Compound inequalities, interval notation	
2017-05-11 14:00	Thu	exam1ch123		
2017-05-11 14:15	Thu	exam1ch123		
2017-05-11 14:30	Thu	exam1ch123		
2017-05-15 13:00	Mon	5.4	factoring trinomials, x^2+bx+c	
2017-05-15 13:15	Mon	5.4	factoring ax^2+bx+c	
2017-05-15 13:30	Mon	5.5	factoring perfect-square trinomials	
2017-05-15 13:45	Mon	5.5	difference of squares	
2017-05-15 14:00	Mon	(5.6 briefly)	sum or difference of cubes, just mention	
2017-05-15 14:15	Mon	5.7	Factoring: a general strategy	
2017-05-15 14:30	Mon	5.7		
2017-05-16 13:00	Tue	5.8	Applications of polynomial equations	
2017-05-16 13:15	Tue	5.8	Principle of Zero Products	
2017-05-16 13:30	Tue	5.8	Problem Solving	
2017-05-16 13:45	Tue	6.1	Rational functions, simplifying	
2017-05-16 14:00	Tue	6.1	multiplying, dividing	
2017-05-16 14:15	Tue	6.2	adding, subtracting	
2017-05-16 14:30	Tue	6.2	Case of different denominators	
2017-05-18 13:00	Thu	(6.3 briefly)	(difference quotients, (n+1)^a/b^(n+1)/(n^a/b^n)	
2017-05-18 13:15	Thu	review		
2017-05-18 13:30	Thu	review		
2017-05-18 13:45	Thu	review		
2017-05-18 14:00	Thu	exam2ch45		
2017-05-18 14:15	Thu	exam2ch45		
2017-05-18 14:30	Thu	exam2ch45		
2017-05-22 13:00	Mon	6.4/5	Rational Equations: sharing work	
2017-05-22 13:15	Mon	6.4/5	problems involving motion	
2017-05-22 13:30	Mon	6.4/5	Solving rational equations	
2017-05-22 13:45	Mon	6.4/5		
2017-05-22 14:00	Mon	6.8	Formulas, direct variation	
2017-05-22 14:15	Mon	6.8	inverse variation	
2017-05-22 14:30	Mon	6.8	joint variation	
2017-05-23 13:00	Tue	6.8	combined variation	
2017-05-23 13:15	Tue	6.8		
2017-05-23 13:30	Tue	7.1	square roots and sqrt functions, sqrt(a^2)	
2017-05-23 13:45	Tue	7.1	cube roots, odd and even n'th roots	
2017-05-23 14:00	Tue	7.2	rational exponents, negative rational exponents	
2017-05-23 14:15	Tue	7.2	laws of exponents	
2017-05-23 14:30	Tue	7.2	simplifying radical expressions	
2017-05-25 13:00	Thu	exam3ch6		
2017-05-25 13:15	Thu	exam3ch6		
2017-05-25 13:30	Thu	7.3	Multiplying radical expressions	
2017-05-25 13:45	Thu	7.3	Simplifying by factoring	
2017-05-25 14:00	Thu	7.3	Multiplying and simplifying	
2017-05-25 14:15	Thu	7.4	Dividing and simplifying	
2017-05-25 14:30	Thu	7.4	Rationalizing denominators	
2017-05-29 13:00	Mon	Memorial Day	Memorial Day	
2017-05-29 13:15	Mon	off	off	
2017-05-29 13:30	Mon	off	off	
2017-05-29 13:45	Mon	off	off	
2017-05-29 14:00	Mon	off	off	
2017-05-29 14:15	Mon	off	off	
2017-05-29 14:30	Mon	off	off	
2017-05-30 13:00	Tue	7.5	Adding and subtracting radical expressions	
2017-05-30 13:15	Tue	7.5	Products of two or more radical terms	
2017-05-30 13:30	Tue	7.5	Rationalizing denominators with two terms	
2017-05-30 13:45	Tue	7.5		
2017-05-30 14:00	Tue	7.5	Terms with Differing Indices	
2017-05-30 14:15	Tue	review/slack		
2017-05-30 14:30	Tue	review/slack		
2017-06-01 13:00	Thu	8.1	Quadratic Equations	
2017-06-01 13:15	Thu	8.1	Principle of Square Roots	
2017-06-01 13:30	Thu	8.1	Completing the square	
2017-06-01 13:45	Thu	8.1	ballistics	
2017-06-01 14:00	Thu	8.1	skip compound-interest	
2017-06-01 14:15	Thu	8.2	The Quadratic Formula	
2017-06-01 14:30	Thu	8.2	Solving using it	
2017-06-05 13:00	Mon	8.2	Solving using it	
2017-06-05 13:15	Mon	8.2	Approximating solutions	
2017-06-05 13:30	Mon	8.3	Discriminant	
2017-06-05 13:45	Mon	8.3	Writing equations from solutions	
2017-06-05 14:00	Mon	8.3		
2017-06-05 14:15	Mon	8.3		
2017-06-05 14:30	Mon	review	exam5ch7and8a in Testing Lab!	
2017-06-06 13:00	Tue	(8.4 briefly)	Applications	testing lab: exam5ch7and8a
2017-06-06 13:15	Tue	9.2	Exponential functions	
2017-06-06 13:30	Tue	9.2	graphing	
2017-06-06 13:45	Tue	9.2	Eqns with x and y interchanged	
2017-06-06 14:00	Tue	9.2	applications	
2017-06-06 14:15	Tue	9.2		
2017-06-06 14:30	Tue	9.3	Logarithmic functions	
2017-06-08 13:00	Thu	9.3	Meaning	
2017-06-08 13:15	Thu	9.3	Graphs	
2017-06-08 13:30	Thu	9.3	Equivalent Equations	
2017-06-08 13:45	Thu	9.3	Solving Certain Equations	
2017-06-08 14:00	Thu	9.4	Properties of logs	
2017-06-08 14:15	Thu	9.4	Products	
2017-06-08 14:30	Thu	9.4	Powers	
2017-06-12 13:00	Mon	9.4	Quotients	
2017-06-12 13:15	Mon	9.4		
2017-06-12 13:30	Mon	review		
2017-06-12 13:45	Mon	review		
2017-06-12 14:00	Mon	9.5	Common and Natural Logs	
2017-06-12 14:15	Mon	9.5	Common logs on a calculator	
2017-06-12 14:30	Mon	9.5	Natural logs on a calculator	
2017-06-13 13:00	Tue	9.5	Changing bases	
2017-06-13 13:15	Tue	9.5	Graphs	
2017-06-13 13:30	Tue	9.7	Applications of exponential and log functions	
2017-06-13 13:45	Tue	9.7		
2017-06-13 14:00	Tue	exam6ch8b9a		
2017-06-13 14:15	Tue	exam6ch8b9a		
2017-06-13 14:30	Tue	exam6ch8b9a		
2017-06-15 13:00	Thu	9.7		
2017-06-15 13:15	Thu	9.7		
2017-06-15 13:30	Thu	9.7		
2017-06-15 13:45	Thu	9 wrapup		
2017-06-15 14:00	Thu	9 wrapup		
2017-06-15 14:15	Thu	9 wrapup		
2017-06-15 14:30	Thu	9 wrapup		
2017-06-19 13:00	Mon	review		
2017-06-19 13:15	Mon	review		
2017-06-19 13:30	Mon	review		
2017-06-19 13:45	Mon	review		
2017-06-19 14:00	Mon	review		
2017-06-19 14:15	Mon	review		
2017-06-19 14:30	Mon	review		
2017-06-20 13:00	Tue	final exam		
2017-06-20 13:15	Tue	it		
2017-06-20 13:30	Tue	it is		
2017-06-20 13:45	Tue	it is cumul		
2017-06-20 14:00	Tue	it is cumulati		
2017-06-20 14:15	Tue	it is cumulative		
2017-06-20 14:30	Tue	it is cumulative!!!		

Some variations in this outline are to be expected.

Regular attendance is strongly recommended. There may be material presented in class that is not in the textbook, yet will be very useful. Similarly, there are things in the textbook that are might not be covered in class, but are still very useful. If you must miss a class, arrange to get a copy of the notes from someone, and arrange for someone to ask your questions for you.

My lectures and discussions mostly use the whiteboard, along with demonstrations in Excel and other mathematical software. I do not usually have PowerPoint-like presentations, and thus cannot hand out copies of slides.

Homework

Just about every section that we use in the online textbook will have at least one homework associated with it. These will generally be due the class day after the section is discussed in class (Monday's homework will be due Tuesday; Tuesday's will be due Thursday; Thursday's will be due Monday). Because most class sessions span more than one section, this means that you will often have 2 and sometimes 3 assignments in between classes, sometimes plus a practice test and other exam prep.

Exams

There will be a 6 exams during the semester, plus a comprehensive final exam. Quizzes might also occur, announced or not, during the semester.

Overall Grades

No scores will be dropped, unless a valid medical excuse with evidence is given. In the unfortunate event of a medical need, the appropriate grade or grades might (at the instructor's discretion) be dropped entirely, rather than giving a make-up. You are highly encouraged to still complete the relevant assignments and consult with me during office hours to ensure you know the material.

Your final score will be computed as follows: The usual 90-80-70 scale will be applied for final letter grades, with the caveat that if needed, a curve will be applied.

General Caveat

The instructor reserves the right to make changes to this syllabus throughout the semester. Notification will be given in class or by e-mail or both. If you miss class, it is your responsibility to find out about syllabus and schedule changes, especially the due dates and times of assignments.

University Writing Center

The University Writing Center (115 Halle Library; 487-0694) offers one-to-one writing consulting for both undergraduate and graduate students. Students are encouraged to come to the UWC at any stage of the writing process.

The UWC also has several satellite locations across campus (in Owen, Sill, Marshall, Porter, Pray-Harrold, and Mark Jefferson). These satellites provide drop-in writing support to students in various colleges and programs. The Pray-Harrold UWC satellite (rm. 211) is open Mondays through Thursdays from 11 a.m. to 4 p.m. The locations and hours for the other satellites can be found on the UWC web site: http://www.emich.edu/uwc.

UWC writing consultants also work in the Academic Projects Center (116 Halle Library), which offers drop-in consulting for students on writing, research, and technology-related issues. Additional information about the APC can be found at http://www.emich.edu/apc.

Students seeking writing support at any location of the University Writing Center should bring a draft of their writing (along with any relevant instructions or rubrics) to work on during the consultation.

Standard University Policies

In addition to the articulated course specific policies and expectations, students are responsible for understanding all applicable University guidelines, policies, and procedures. The EMU Student Handbook is the primary resource provided to students to ensure that they have access to all university policies, support resources, and student's rights and responsibilities. Changes may be made to the EMU Student Handbook whenever necessary, and shall be effective immediately, and/or as of the date on which a policy is formally adopted, and/or on the date specified in the amendment. Please note: Electing not to access the link provided below does not absolve a student of responsibility. For questions about any university policy, procedure, practice, or resource, please contact the Office of the Ombuds: 248 Student Center, 734.487.0074, emu_ombuds@emich.edu, or visit the website: www.emich.edu/ombuds CLICK HERE to access the University Course Policies Student Handbook Link: https://www.emich.edu/studenthandbook/index.php Graduate School Policies: http://www.emich.edu/graduate/policies/index.php

Food Pantry

Swoop's Pantry (104 Pierce Hall, emich.edu/swoopspantry, 734 487 4173) offers food assistance to all EMU students who could benefit. Students are able to visit twice per month to receive perishable and non-perishable food items, personal hygiene items, baby items, and more. Students can visit our website for hours of operation and more information. If you are in a position to donate to Swoop's, I encourage you to do so!