ST. LOUIS COMMUNITY COLLEGE (FP) amazonaws com
ST. LOUIS COMMUNITY COLLEGE (FP) DEPARTMENT OF MATHEMATICS COLLEGE ALGEBRA (MTH – 160C 477) Online Summer 2016 (June 6 July 14)
Instructor: Office: Contact Information: Campus Office Hours: Virtual Office Hours: Prerequisite:
Mike Lueke Forest Park Campus, Tower A, Room 320 3146449269 / [email protected] / @mikelueke (twitter) Tuesday & Thursday from 8:00 am to 12:30 pm (A 320) Available by appointment and are conducted via Blackboard Collaborate. Sufficient score on a relevant test, or C or better in MTH140, & Reading Proficiency.
COURSE CONTENT :
Description:
Four credits Topics include theory of equations; systems of equations; functions and graphs including polynomial, rational, exponential, and logarithmic; matrices; sequences and series; binomial theorem. Applications will be primarily from science and business. Credit will be granted for only one of the following: MTH:160, MTH:160A, MTH:160B, MTH:160C, MTH:185. Please see the detailed Course Overview page in this packet for more information.
Course Materials:
All required course materials can be obtained at no cost to students. The textbook is College Algebra , by Carl Stitz and Jeff Zeager, available via free download as a .pdf file. Other course materials include www.desmos.com and www.wolframalpha.com , which are available online for free and are described in other documents.
ASSESSMENT :
Assignments 15% Activities 10% Discussion Forums 5% Exams (Three) 3 x 23 ⅓ % = 70%
Typical Grade Distribution A .90 & ↑ B .80 .90 C .70 .80 D .60 .70 F Below .60
Your course score/grade will be computed using the following formula: Course Score = .15 x (Assignments Score Average) + .10 x (Activities Score Average) + .05 x (Discussion Forums Score Average) + .2333333 x Exam #1 Score + .2333333 x Exam #2 Score + .2333333 x Exam #3 Score.
Assignments/ All required tasksexcept examscan be found in the MyOpenMath online platform. Activities/ Assignments are designed to provide opportunities to practice skills and develop Discussion: fundamental conceptual understanding. Activities and discussion forum posts are intended to provide opportunities to deepen students’ mathematical understanding.
Exams:
There will be three exams given during the session. All exams are administered on paper at the FP campus or at a proctoring location agreed upon by both student and instructor. Each exam is cumulative and they are scheduled for the following dates: June 16, June 30, and July 14, 2016. See Pages 3 4 for more information.
Attendance: Attendance in an online course means engaging actively and productively with course materials, with other students, or with the instructor. Your activity in the course will be recorded by the instructor and is noted by College administrators. Students who are inactive in the course for two consecutive calendar weeks risk their enrollment and/or financial aid status at StLCC. Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 1
Withdrawal:
The last day to withdraw from the course is Friday, July 8. For information about College policy regarding withdrawing from the course, please visit http://bit.ly/LOGA99 .
STUDENT Students are encouraged to consult the Students’ Right To Know page, which details EXPECTATIONS : all official College statements regarding Academic Integrity, Student Rights & Responsibilities , and Campus Policies & Procedures. I will follow—and expect all students to adhere to—these guidelines. For more information, please visit http://goo.gl/pVU0qy or http://goo.gl/UWNGES .
NETIQUETTE:
Netiquette refers to appropriate behavior for all online participants (including the instructor). The following are some guidelines to follow this session: ● Post thoughtful comments to the discussion forums. Reply to others' ideas. Check your writing for errors by reviewing your writing before submitting. ● Follow the same standards of behavior online that you should follow in “real life.” Refer to the note above related to Student Rights & Responsibilities. ● Be respectful of each other. Before posting a comment, ask whether you would be willing to make the same comment to a person’s face. One cannot “undo” easily damage that is done online. ● Be careful with humor and sarcasm. Both are easily misunderstood (even/especially when you use emoji/emoticons). ● Remember that it is okay to disagree and that exchange between people’s thoughts and opinions is part of the learning experience. PLEASE challenge ideas, but focus on the ideas themselves, rather than the people who offer them. Address classmates with respect and the goal of contributing positively to everyone's learning experience. ● Be prepared to make mistakes, acknowledge them, and learn from them. When pointing out others’ mistakes, focus on constructive criticism, which means trying to find and publicly recognize things that are correct about the work in addition to determining what went wrong.
NOTE :
The College has professionals to guide, counsel, and assist students with disabilities. The ACCESS Office, 3146449039, Room G223, can evaluate and approve your accommodation needs. For more information, please visit: http://www.stlcc.edu/disAbility/Access_Office/Index.html
COLLEGE CLOSING :
St. Louis Community College will remain open except under very severe weather conditions. Official announcements will be broadcast on KMOXAM (1120) radio, and local television channels 2.1, 4.1 and 5.1. Severe weather announcements are announced for each campus. Updates also will be posted on the homepage of the STLCC website and on the main page for each campus as well as a broadcast email when feasible. Students can sign up for text alerts of closings and other emergency information by texting "follow STLCCAlert" (without the quotes) to 40404. You will get several messages in response from Twitter but that will end after the initial messages. After that only "alerts" messages will be sent from the college to STLCCAlert. All other communications will be sent from @STLCC. You may also choose to follow @STLCCAlert through Twitter.
In the absence of any announcement, students should assume the college is operating on its normal schedule. Severe weather closing announcements are also available by calling 3149519463.
SYLLABUS CHANGES:
Summer 2016
Syllabus content is subject to change. All changes will be announced via email and posted in Blackboard and MyOpenMath. StLCC FP: MTH 160 (College Algebra)
Page 2
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA Course Structure & Overview
Students must complete: Three oncampus exams (3 x 23 ⅓% each = 70%) Assignments (15%) Nine Activities (10%) Six Weekly Discussion Forum Posts (5%) Due dates for each of these items can be found in this document and in MyOpenMath. Exam dates and times are given on the next page; more details about room location will be sent to each student via email and electronic announcements (in MyOpenMath and via email). Testing at another time or location is possible, but students must notify the instructor of their intention to test at a different location, must contact the chosen location for information on hours and protocol, and must give the instructor at least five days notice. Please note the contact information for StLCC centers below. In order to test at the Meramec, Florissant Valley, and Wildwood campuses, you must make an appointment at least 48 hours in advance (call to set up an appointment); the Forest Park Testing Center does not accept appointments. In all cases, you should contact the instructor at least five days in advance of the alternative date on which you want to take the exam.
Forest Park Testing Florissant Valley Testing Meramec Testing G229 A153 CN229 [email protected] [email protected] [email protected]
Wildwood Testing Student Affairs Office (email me before calling)
3146449257 3145134292 3149847596 6364222000 Logging into MyOpenMath MyOpenMath is an open educational resource which means that it is available online at no cost, although students are required to set up an account with a username and password. In order to link to the correct course materials, students should go to www.myopenmath.com and use the course id (11013) and enrollment key (lueke20924 ). Instructional video(s) for using MyOpenMath and related materials are provided in the course Blackboard page. Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 3
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA
CALENDAR (all due dates)
Classes begin for the 2016 Summer SixWeek Session @ StLCC
June 6, 2016: June 8, 2016 @ 11:59 pm:
Assignments 0.1 & 1.0 are due Discussion Forum post(s) #1 are due.
June 15, 2016 @ 11:59 pm:
Assignments 1.1 1.4 and 2.1 2.6 due Activities #1 #3 are due Discussion Forum post(s) #2 due Exam #1 (schedule a two hour block with the instructor)
June 16, 9:00 am 6:30 pm: June 22, 2016 @ 11:59 pm:
Activity #4 is due Discussion Forum post(s) #3 due
June 29, 2016 @ 11:59 pm:
Assignments 3.1 3.8 are due Activities #5 & 6 are due Discussion Forum post(s) #4 due
June 30, 9:00 am 6:30 pm: July 6, 2016 @ 11:59 pm:
Exam #2 (schedule a two hour block with the instructor) Discussion Forum post(s) #5 due Activities #7 & #8 are due
July 14, 9:00 am 6:30 pm: July 14 @ 11:59 pm:
Exam #3 (schedule a two hour block with the instructor) ALL work must be completed in order to earn credit (late work is accepted until this time)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 4
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA Suggested Schedule
SUGGESTED SCHEDULE (Six Days Each Week…~3 5 Hours Each Day) Week
Day One
Day Two
Day Three
Day Four
Day Five
Day Six
WEEK 1 June 6 12
Login to MyOpenMath & Assignments 0.1 & 1.0 & Post to Week #1 Forum
Sections 1.1 & 1.2
Activity #1 & Section 1.3
Section 1.4
Activity #2 & Section 2.1
Sections 2.2 & 2.3
Exam #1 (Cumulative) Thursday, June 16 (Make an Appointmen t w/ the Instructor)
Section 3.1
Section 3.2
Section 3.5 & Activity #5
Section 3.6
Section 3.7
Exam #2 (Cumulative) Thursday, June 30 (Make an Appointmen t w/ the Instructor)
Section 4.1
Section 4.2 Post to Week #5 Forum
Section 5.1
Section 5.2
Section 5.3 & Activity #9
Activity #3 & Review for Exam #1
WEEK 2 June 13 19
Sections 2.4 & 2.5 & Post to Week #2 Forum
Sections 2.5 & 2.6
WEEK 3 June 20 26
Section 3.3 & Post to Week #3 Forum
Section 3.4 & Activity #4
TASKS ARE DUE; Use LatePasses as Necessary Section 3.5 Review for Exam #2
Section 3.8 &
WEEK 4 Activity #6 & June 27 July 3 Post to Week
Review for Exam #2
#4 Forum
WEEK 5 July 4 10
WEEK 6 July 11 14
Section 4.3 & Activity #7
Complete ANY Remaining Assignments & Activities & Post to Week #6 Forum
Section 4.4
Review for Exam #3
TASKS ARE DUE; Use LatePasses as Necessary Section 4.5 & Activity #8
Review for Exam #3
Exam #3 (Cumulative) Thursday, July 14 (Make an Appointmen t w/ the Instructor) ALL tasks are due at 11:59 pm
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 5
Plan to use the calendar above and/or the weekly checklist that is posted in MyOpenMath. These things can help you stay on track in the course, and can increase your chances of success!
Guidelines for Completing Required Course Tasks:
When Completing an Assignment (in MyOpenMath): ● Every assignment is bundled with a link to your textbook and a selection of video lessons which explain concepts and demonstrate examples. Each section will usually take between two and five hours from start to finish (see below). ● Start by reviewing the relevant textbook section(s). This is likely to take 30 45 minutes. ● Then, watch the related video lessons to see these topics “in action.” Some videos summarize and synthesize the most important ideas, and others give examples. I recommend taking notes while watching these videos as though you were sitting in a classroom. This part will usually take between 30 and 60 minutes. ● Finally, once you’ve read through the textbook and watched the video lessons, try to complete the assignment itself. This should take approximately one to three hours per assignment. ● If you are familiar with the concept(s) contained in an assignment, you may not need to read the book or watch the videos. However, generally I do not recommend skipping the textbook or videos! ● If/When you struggle with an item in any assignment, please email me or post a question in a relevant discussion forum. If there is no thread about your topic, then create one!
When completing an Activity: ● View/Download the “directions” document in the folder and follow the specific instructions for the activity. ● Respond according to the instructions, usually within the special discussion forum created for the activity. This may involve typing answers, creating and analyzing graphs, or working with other tools. Save your work and attach/embed files/pictures as necessary. Be sure to create a descriptive subject/title for your post. ● Once you have submitted your response, visit your classmates’ responses to compare your thinking with theirs. This may stimulate questions about your workor theirsthat you hadn’t considered yet. That’s a good thing! Please post constructive comments or questions. ● Questions about activities are encouraged . Please ask (specific) questions or post them in the appropriate weekly Discussion Forum (see below).
When posting to a Weekly Discussion Forum: In order to fulfill this requirement, you only need to post once each week. You can choose to post your own mathematically oriented question, or you can respond to a classmate. In order to earn full credit for a weekly discussion forum post, your post must be about a relevant mathematical topic and meet the three criteria below: ● When posting a question of your own, always do three things : a. Make clear the mathematical topic to which your question relates. Be very specific, stating not only the textbook topic, but the skill or concept that is related to the exercise. Sometimes, just trying to articulate your question carefully will help you answer it yourself! b. Write something you do understand about this topic, and how what you do understand relates to your question. c. Ask your question, but give as much detail about what you have already tried in the process. If you haven’t attempted the item or exercise yet, do not ask about it yet ! This part is very important so that others can respond in a productive way to your question. It could be writing down the steps you used, or explaining the specific spot where you have gotten stuck. The more details you can give, the better! Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 6
●
When responding to a classmate’s question, always do three things : a. Determineand highlightsomething that is correct in your classmate’s description. If they’ve done a good job asking it (see above), you should find something that is correct in their work. b. Answer their question as best you can. c. Give a resource your classmates can use to learn more about the topic you are working on. Maybe you can tell them a textbook page to look at, an example that helped you understand, or a video link to YouTube (or the video lessons) that explains the topic particularly well.
When Preparing for an Exam: ● Exams consist of approximately 10 15 items (some of these items will have parts). Most of these items will come from the assignments and activities found in MyOpenMath. Occasionally, I will post questions related to those found in the discussion forums, so make sure to read those regularly and carefully! ● Complete the relevant assignments in MyOpenMath. Generally, students who do poorly on the exams are usually those who haven’t finished one or more of the assignments. ● Make sure that you have completed the relevant activities. Review the feedback you’ve gotten from those activities and send/post questions that arise from your work. The activities are an important component of your exam preparation! ● Look through the posts of your classmates, and make sure that there aren’t any topics/items that you have overlooked. Answer some questions where you can, and post/send new ones when necessary. ● If you plan to test at a different time or location that offered by the instructor, make sure to let me know with at least five days advance notice. ● Take the exam (bring a photo id, remember a [graphing] calculator, and check the batteries!)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 7
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA Course Overview and Final Exam Review Sheet 1.
REVIEW Students will know or understand: complex number system, absolute value equations and inequalities, linear equations and graphs in the rectangular system, circular equations and graphs, rational equations and inequalities, other types of equations including those containing radicals and fractional exponents.
a.
b.
c.
d.
Working with Expressions and Equations i. Operating with Rational Expressions (1.0) ii. Solving Rational Equations (1.0) iii. Graphing Linear Equations in Two Variables (1.1) Absolute Value Equations & Inequalities (1.2) i. Solving analytically ii. Solving graphically Solving Quadratic Equations & Inequalities (1.3) i. Rational Exponents and Radicals (1.0) 1. Converting between radical notation and rational exponents 2. Simplifying radical expressions ii. Factoring Polynomials (1.0) iii. Complex Numbers (1.0) iv. Square Root Property (1.3) v. Completing the Square (1.3) vi. Quadratic Formula (1.3) vii. Solving quadratic inequalities graphically and using a number line (1.3) Solving equations containing radicals and fraction exponents (1.4)
2.
FUNCTIONS Students will know or understand: functions and properties of functions, composite and inverse functions
a.
b.
c. d.
e.
Introduction to Functions (2.1 & 2.2) i. Identify when a relationship is a function and why ii. Use different representations of functions (arrow diagrams, tables, graphs, etc.) iii. Move between representations iv. Evaluate Functions v. Determine Domain and Range of a Function vi. Average Rate of Change / Difference Quotient Transformations i. Translations, Reflections, & Dilations (2.3) ii. Symmetry – Even & Odd Functions (2.3) Operating on Functions (2.4) i. Adding, Subtracting, Multiplying & Dividing Functions Function Composition (2.5) i. Find the composition of two (or three) functions ii. Interpret the meaning of a function composition Inverse Functions (2.6) i. Connections to function composition ii. Onetoone functions iii. Find whether the inverse of a function exists and determine it
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 8
3. POLYNOMIAL FUNCTIONS Students will know or understand: quadratic functions, circular and parabolic equations and graphs, polynomial functions, rational functions, rational equations and inequalities. a. Quadratic Functions & Inequalities (1.3 & 3.1) i. Relating Graphs & Equations to One Another ii. Finding the vertex (two different approaches) and the axis of symmetry iii. Finding Intercepts for Quadratic Graphs b. Quadratic Graphs i. Parabola (3.1) 1. Vertex, Focus, Directrix 2. Explaining and interpreting graphical information and its relationship to the equation 3. Relationships with transformations ii. Circle (3.2) 1. Basic equation of a circle 2. Relationship between circles, distance, and midpoint formulas 3. Explaining and interpreting graphical information and its relationship to the equation 4. Relationships with transformations iii. Ellipse (3.3) 1. Basic Graph 2. Transformations 3. Distinguishing features from other conic sections iv. Hyperbola (3.4) 1. Basic Graph 2. Transformations 3. Distinguishing features from other conic sections c. Zeros of Polynomial Functions (3.5) i. Factor Theorem ii. Finding xintercepts iii. Factoring iv. Rational Zeros Theorem & Synthetic Division d. Graphs of Polynomial Functions (3.5) i. End Behavior ii. X and Y Intercepts iii. Symmetry iv. Maxima and Minima v. # of Turns and Zeros e. Rational Functions (3.6) i. Zeros ii. Asymptotes (Vertical, Horizontal, Slant) f. Polynomial & Rational Inequalities (3.6)
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Students will know or understand: exponential and logarithmic functions a.
b.
c. d.
Exponential Functions (3.7) i. Evaluate Exponential Functions ii. Graph and Interpret Exponential Functions Logarithmic Functions (3.7) i. Evaluate Logarithmic Functions ii. Graph and Interpret Logarithmic Functions iii. Connect Exponential and Logarithmic Functions iv. Convert between Logarithmic and Exponential forms Properties of Logarithms (3.8) Solving Equations and Applications using Exponents and Logarithms (3.8)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 9
5. SYSTEMS OF EQUATIONS Students will know or understand: systems of equations and inequalities in two and three variables, matrices a.
b.
c. d.
Systems of linear Equations in Two & Three Variables (4.1) i. Graphical Approach ii. The Substitution Method iii. The Addition/Elimination Method Using Matrices to Solve Systems (4.2 & 4.3) i. Matrix Operations ii. Matrix Inverses Systems of Linear Inequalities (4.4) i. Linear Programming (4.4) Nonlinear Systems of Equations (4.5)
6. SEQUENCES & SERIES
Students will know or understand: sequences and series, binomial theorem a. b. c. d.
Sequences (5.1) Series (5.2) Binomial Theorem (5.3) Counting Techniques (5.4)
Major Themes to Pay Attention to in this Course: Students will know or understand: connections between mathematical methods, relationships between mathematics and other disciplines, use of technology when appropriate, real world problem solving
●
● ● ●
Solving equations, inequalities, and systems of equations. What are the connections between these different processes and how are they different? (Units 1, 2, 3, 4) Developing the relationship between graphs, tables, and functions/equations (Units 1,2,3,5) Building a knowledge base for families of functions: what are typical functions, how do they operate, what do they look like? (Units 1,2,3,4,5) For what purposes can computing software be used to perform algebraic tasks like solving, graphing, or manipulating tables? (Units 1, 2, 3, 4, & 5)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 10
Instructor: Office: Contact Information: Campus Office Hours: Virtual Office Hours: Prerequisite:
Mike Lueke Forest Park Campus, Tower A, Room 320 3146449269 / [email protected] / @mikelueke (twitter) Tuesday & Thursday from 8:00 am to 12:30 pm (A 320) Available by appointment and are conducted via Blackboard Collaborate. Sufficient score on a relevant test, or C or better in MTH140, & Reading Proficiency.
COURSE CONTENT :
Description:
Four credits Topics include theory of equations; systems of equations; functions and graphs including polynomial, rational, exponential, and logarithmic; matrices; sequences and series; binomial theorem. Applications will be primarily from science and business. Credit will be granted for only one of the following: MTH:160, MTH:160A, MTH:160B, MTH:160C, MTH:185. Please see the detailed Course Overview page in this packet for more information.
Course Materials:
All required course materials can be obtained at no cost to students. The textbook is College Algebra , by Carl Stitz and Jeff Zeager, available via free download as a .pdf file. Other course materials include www.desmos.com and www.wolframalpha.com , which are available online for free and are described in other documents.
ASSESSMENT :
Assignments 15% Activities 10% Discussion Forums 5% Exams (Three) 3 x 23 ⅓ % = 70%
Typical Grade Distribution A .90 & ↑ B .80 .90 C .70 .80 D .60 .70 F Below .60
Your course score/grade will be computed using the following formula: Course Score = .15 x (Assignments Score Average) + .10 x (Activities Score Average) + .05 x (Discussion Forums Score Average) + .2333333 x Exam #1 Score + .2333333 x Exam #2 Score + .2333333 x Exam #3 Score.
Assignments/ All required tasksexcept examscan be found in the MyOpenMath online platform. Activities/ Assignments are designed to provide opportunities to practice skills and develop Discussion: fundamental conceptual understanding. Activities and discussion forum posts are intended to provide opportunities to deepen students’ mathematical understanding.
Exams:
There will be three exams given during the session. All exams are administered on paper at the FP campus or at a proctoring location agreed upon by both student and instructor. Each exam is cumulative and they are scheduled for the following dates: June 16, June 30, and July 14, 2016. See Pages 3 4 for more information.
Attendance: Attendance in an online course means engaging actively and productively with course materials, with other students, or with the instructor. Your activity in the course will be recorded by the instructor and is noted by College administrators. Students who are inactive in the course for two consecutive calendar weeks risk their enrollment and/or financial aid status at StLCC. Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 1
Withdrawal:
The last day to withdraw from the course is Friday, July 8. For information about College policy regarding withdrawing from the course, please visit http://bit.ly/LOGA99 .
STUDENT Students are encouraged to consult the Students’ Right To Know page, which details EXPECTATIONS : all official College statements regarding Academic Integrity, Student Rights & Responsibilities , and Campus Policies & Procedures. I will follow—and expect all students to adhere to—these guidelines. For more information, please visit http://goo.gl/pVU0qy or http://goo.gl/UWNGES .
NETIQUETTE:
Netiquette refers to appropriate behavior for all online participants (including the instructor). The following are some guidelines to follow this session: ● Post thoughtful comments to the discussion forums. Reply to others' ideas. Check your writing for errors by reviewing your writing before submitting. ● Follow the same standards of behavior online that you should follow in “real life.” Refer to the note above related to Student Rights & Responsibilities. ● Be respectful of each other. Before posting a comment, ask whether you would be willing to make the same comment to a person’s face. One cannot “undo” easily damage that is done online. ● Be careful with humor and sarcasm. Both are easily misunderstood (even/especially when you use emoji/emoticons). ● Remember that it is okay to disagree and that exchange between people’s thoughts and opinions is part of the learning experience. PLEASE challenge ideas, but focus on the ideas themselves, rather than the people who offer them. Address classmates with respect and the goal of contributing positively to everyone's learning experience. ● Be prepared to make mistakes, acknowledge them, and learn from them. When pointing out others’ mistakes, focus on constructive criticism, which means trying to find and publicly recognize things that are correct about the work in addition to determining what went wrong.
NOTE :
The College has professionals to guide, counsel, and assist students with disabilities. The ACCESS Office, 3146449039, Room G223, can evaluate and approve your accommodation needs. For more information, please visit: http://www.stlcc.edu/disAbility/Access_Office/Index.html
COLLEGE CLOSING :
St. Louis Community College will remain open except under very severe weather conditions. Official announcements will be broadcast on KMOXAM (1120) radio, and local television channels 2.1, 4.1 and 5.1. Severe weather announcements are announced for each campus. Updates also will be posted on the homepage of the STLCC website and on the main page for each campus as well as a broadcast email when feasible. Students can sign up for text alerts of closings and other emergency information by texting "follow STLCCAlert" (without the quotes) to 40404. You will get several messages in response from Twitter but that will end after the initial messages. After that only "alerts" messages will be sent from the college to STLCCAlert. All other communications will be sent from @STLCC. You may also choose to follow @STLCCAlert through Twitter.
In the absence of any announcement, students should assume the college is operating on its normal schedule. Severe weather closing announcements are also available by calling 3149519463.
SYLLABUS CHANGES:
Summer 2016
Syllabus content is subject to change. All changes will be announced via email and posted in Blackboard and MyOpenMath. StLCC FP: MTH 160 (College Algebra)
Page 2
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA Course Structure & Overview
Students must complete: Three oncampus exams (3 x 23 ⅓% each = 70%) Assignments (15%) Nine Activities (10%) Six Weekly Discussion Forum Posts (5%) Due dates for each of these items can be found in this document and in MyOpenMath. Exam dates and times are given on the next page; more details about room location will be sent to each student via email and electronic announcements (in MyOpenMath and via email). Testing at another time or location is possible, but students must notify the instructor of their intention to test at a different location, must contact the chosen location for information on hours and protocol, and must give the instructor at least five days notice. Please note the contact information for StLCC centers below. In order to test at the Meramec, Florissant Valley, and Wildwood campuses, you must make an appointment at least 48 hours in advance (call to set up an appointment); the Forest Park Testing Center does not accept appointments. In all cases, you should contact the instructor at least five days in advance of the alternative date on which you want to take the exam.
Forest Park Testing Florissant Valley Testing Meramec Testing G229 A153 CN229 [email protected] [email protected] [email protected]
Wildwood Testing Student Affairs Office (email me before calling)
3146449257 3145134292 3149847596 6364222000 Logging into MyOpenMath MyOpenMath is an open educational resource which means that it is available online at no cost, although students are required to set up an account with a username and password. In order to link to the correct course materials, students should go to www.myopenmath.com and use the course id (11013) and enrollment key (lueke20924 ). Instructional video(s) for using MyOpenMath and related materials are provided in the course Blackboard page. Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 3
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA
CALENDAR (all due dates)
Classes begin for the 2016 Summer SixWeek Session @ StLCC
June 6, 2016: June 8, 2016 @ 11:59 pm:
Assignments 0.1 & 1.0 are due Discussion Forum post(s) #1 are due.
June 15, 2016 @ 11:59 pm:
Assignments 1.1 1.4 and 2.1 2.6 due Activities #1 #3 are due Discussion Forum post(s) #2 due Exam #1 (schedule a two hour block with the instructor)
June 16, 9:00 am 6:30 pm: June 22, 2016 @ 11:59 pm:
Activity #4 is due Discussion Forum post(s) #3 due
June 29, 2016 @ 11:59 pm:
Assignments 3.1 3.8 are due Activities #5 & 6 are due Discussion Forum post(s) #4 due
June 30, 9:00 am 6:30 pm: July 6, 2016 @ 11:59 pm:
Exam #2 (schedule a two hour block with the instructor) Discussion Forum post(s) #5 due Activities #7 & #8 are due
July 14, 9:00 am 6:30 pm: July 14 @ 11:59 pm:
Exam #3 (schedule a two hour block with the instructor) ALL work must be completed in order to earn credit (late work is accepted until this time)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
Page 4
ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA Suggested Schedule
SUGGESTED SCHEDULE (Six Days Each Week…~3 5 Hours Each Day) Week
Day One
Day Two
Day Three
Day Four
Day Five
Day Six
WEEK 1 June 6 12
Login to MyOpenMath & Assignments 0.1 & 1.0 & Post to Week #1 Forum
Sections 1.1 & 1.2
Activity #1 & Section 1.3
Section 1.4
Activity #2 & Section 2.1
Sections 2.2 & 2.3
Exam #1 (Cumulative) Thursday, June 16 (Make an Appointmen t w/ the Instructor)
Section 3.1
Section 3.2
Section 3.5 & Activity #5
Section 3.6
Section 3.7
Exam #2 (Cumulative) Thursday, June 30 (Make an Appointmen t w/ the Instructor)
Section 4.1
Section 4.2 Post to Week #5 Forum
Section 5.1
Section 5.2
Section 5.3 & Activity #9
Activity #3 & Review for Exam #1
WEEK 2 June 13 19
Sections 2.4 & 2.5 & Post to Week #2 Forum
Sections 2.5 & 2.6
WEEK 3 June 20 26
Section 3.3 & Post to Week #3 Forum
Section 3.4 & Activity #4
TASKS ARE DUE; Use LatePasses as Necessary Section 3.5 Review for Exam #2
Section 3.8 &
WEEK 4 Activity #6 & June 27 July 3 Post to Week
Review for Exam #2
#4 Forum
WEEK 5 July 4 10
WEEK 6 July 11 14
Section 4.3 & Activity #7
Complete ANY Remaining Assignments & Activities & Post to Week #6 Forum
Section 4.4
Review for Exam #3
TASKS ARE DUE; Use LatePasses as Necessary Section 4.5 & Activity #8
Review for Exam #3
Exam #3 (Cumulative) Thursday, July 14 (Make an Appointmen t w/ the Instructor) ALL tasks are due at 11:59 pm
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StLCC FP: MTH 160 (College Algebra)
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Plan to use the calendar above and/or the weekly checklist that is posted in MyOpenMath. These things can help you stay on track in the course, and can increase your chances of success!
Guidelines for Completing Required Course Tasks:
When Completing an Assignment (in MyOpenMath): ● Every assignment is bundled with a link to your textbook and a selection of video lessons which explain concepts and demonstrate examples. Each section will usually take between two and five hours from start to finish (see below). ● Start by reviewing the relevant textbook section(s). This is likely to take 30 45 minutes. ● Then, watch the related video lessons to see these topics “in action.” Some videos summarize and synthesize the most important ideas, and others give examples. I recommend taking notes while watching these videos as though you were sitting in a classroom. This part will usually take between 30 and 60 minutes. ● Finally, once you’ve read through the textbook and watched the video lessons, try to complete the assignment itself. This should take approximately one to three hours per assignment. ● If you are familiar with the concept(s) contained in an assignment, you may not need to read the book or watch the videos. However, generally I do not recommend skipping the textbook or videos! ● If/When you struggle with an item in any assignment, please email me or post a question in a relevant discussion forum. If there is no thread about your topic, then create one!
When completing an Activity: ● View/Download the “directions” document in the folder and follow the specific instructions for the activity. ● Respond according to the instructions, usually within the special discussion forum created for the activity. This may involve typing answers, creating and analyzing graphs, or working with other tools. Save your work and attach/embed files/pictures as necessary. Be sure to create a descriptive subject/title for your post. ● Once you have submitted your response, visit your classmates’ responses to compare your thinking with theirs. This may stimulate questions about your workor theirsthat you hadn’t considered yet. That’s a good thing! Please post constructive comments or questions. ● Questions about activities are encouraged . Please ask (specific) questions or post them in the appropriate weekly Discussion Forum (see below).
When posting to a Weekly Discussion Forum: In order to fulfill this requirement, you only need to post once each week. You can choose to post your own mathematically oriented question, or you can respond to a classmate. In order to earn full credit for a weekly discussion forum post, your post must be about a relevant mathematical topic and meet the three criteria below: ● When posting a question of your own, always do three things : a. Make clear the mathematical topic to which your question relates. Be very specific, stating not only the textbook topic, but the skill or concept that is related to the exercise. Sometimes, just trying to articulate your question carefully will help you answer it yourself! b. Write something you do understand about this topic, and how what you do understand relates to your question. c. Ask your question, but give as much detail about what you have already tried in the process. If you haven’t attempted the item or exercise yet, do not ask about it yet ! This part is very important so that others can respond in a productive way to your question. It could be writing down the steps you used, or explaining the specific spot where you have gotten stuck. The more details you can give, the better! Summer 2016
StLCC FP: MTH 160 (College Algebra)
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When responding to a classmate’s question, always do three things : a. Determineand highlightsomething that is correct in your classmate’s description. If they’ve done a good job asking it (see above), you should find something that is correct in their work. b. Answer their question as best you can. c. Give a resource your classmates can use to learn more about the topic you are working on. Maybe you can tell them a textbook page to look at, an example that helped you understand, or a video link to YouTube (or the video lessons) that explains the topic particularly well.
When Preparing for an Exam: ● Exams consist of approximately 10 15 items (some of these items will have parts). Most of these items will come from the assignments and activities found in MyOpenMath. Occasionally, I will post questions related to those found in the discussion forums, so make sure to read those regularly and carefully! ● Complete the relevant assignments in MyOpenMath. Generally, students who do poorly on the exams are usually those who haven’t finished one or more of the assignments. ● Make sure that you have completed the relevant activities. Review the feedback you’ve gotten from those activities and send/post questions that arise from your work. The activities are an important component of your exam preparation! ● Look through the posts of your classmates, and make sure that there aren’t any topics/items that you have overlooked. Answer some questions where you can, and post/send new ones when necessary. ● If you plan to test at a different time or location that offered by the instructor, make sure to let me know with at least five days advance notice. ● Take the exam (bring a photo id, remember a [graphing] calculator, and check the batteries!)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
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ST. LOUIS COMMUNITY COLLEGE (FP) COLLEGE ALGEBRA Course Overview and Final Exam Review Sheet 1.
REVIEW Students will know or understand: complex number system, absolute value equations and inequalities, linear equations and graphs in the rectangular system, circular equations and graphs, rational equations and inequalities, other types of equations including those containing radicals and fractional exponents.
a.
b.
c.
d.
Working with Expressions and Equations i. Operating with Rational Expressions (1.0) ii. Solving Rational Equations (1.0) iii. Graphing Linear Equations in Two Variables (1.1) Absolute Value Equations & Inequalities (1.2) i. Solving analytically ii. Solving graphically Solving Quadratic Equations & Inequalities (1.3) i. Rational Exponents and Radicals (1.0) 1. Converting between radical notation and rational exponents 2. Simplifying radical expressions ii. Factoring Polynomials (1.0) iii. Complex Numbers (1.0) iv. Square Root Property (1.3) v. Completing the Square (1.3) vi. Quadratic Formula (1.3) vii. Solving quadratic inequalities graphically and using a number line (1.3) Solving equations containing radicals and fraction exponents (1.4)
2.
FUNCTIONS Students will know or understand: functions and properties of functions, composite and inverse functions
a.
b.
c. d.
e.
Introduction to Functions (2.1 & 2.2) i. Identify when a relationship is a function and why ii. Use different representations of functions (arrow diagrams, tables, graphs, etc.) iii. Move between representations iv. Evaluate Functions v. Determine Domain and Range of a Function vi. Average Rate of Change / Difference Quotient Transformations i. Translations, Reflections, & Dilations (2.3) ii. Symmetry – Even & Odd Functions (2.3) Operating on Functions (2.4) i. Adding, Subtracting, Multiplying & Dividing Functions Function Composition (2.5) i. Find the composition of two (or three) functions ii. Interpret the meaning of a function composition Inverse Functions (2.6) i. Connections to function composition ii. Onetoone functions iii. Find whether the inverse of a function exists and determine it
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StLCC FP: MTH 160 (College Algebra)
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3. POLYNOMIAL FUNCTIONS Students will know or understand: quadratic functions, circular and parabolic equations and graphs, polynomial functions, rational functions, rational equations and inequalities. a. Quadratic Functions & Inequalities (1.3 & 3.1) i. Relating Graphs & Equations to One Another ii. Finding the vertex (two different approaches) and the axis of symmetry iii. Finding Intercepts for Quadratic Graphs b. Quadratic Graphs i. Parabola (3.1) 1. Vertex, Focus, Directrix 2. Explaining and interpreting graphical information and its relationship to the equation 3. Relationships with transformations ii. Circle (3.2) 1. Basic equation of a circle 2. Relationship between circles, distance, and midpoint formulas 3. Explaining and interpreting graphical information and its relationship to the equation 4. Relationships with transformations iii. Ellipse (3.3) 1. Basic Graph 2. Transformations 3. Distinguishing features from other conic sections iv. Hyperbola (3.4) 1. Basic Graph 2. Transformations 3. Distinguishing features from other conic sections c. Zeros of Polynomial Functions (3.5) i. Factor Theorem ii. Finding xintercepts iii. Factoring iv. Rational Zeros Theorem & Synthetic Division d. Graphs of Polynomial Functions (3.5) i. End Behavior ii. X and Y Intercepts iii. Symmetry iv. Maxima and Minima v. # of Turns and Zeros e. Rational Functions (3.6) i. Zeros ii. Asymptotes (Vertical, Horizontal, Slant) f. Polynomial & Rational Inequalities (3.6)
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Students will know or understand: exponential and logarithmic functions a.
b.
c. d.
Exponential Functions (3.7) i. Evaluate Exponential Functions ii. Graph and Interpret Exponential Functions Logarithmic Functions (3.7) i. Evaluate Logarithmic Functions ii. Graph and Interpret Logarithmic Functions iii. Connect Exponential and Logarithmic Functions iv. Convert between Logarithmic and Exponential forms Properties of Logarithms (3.8) Solving Equations and Applications using Exponents and Logarithms (3.8)
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StLCC FP: MTH 160 (College Algebra)
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5. SYSTEMS OF EQUATIONS Students will know or understand: systems of equations and inequalities in two and three variables, matrices a.
b.
c. d.
Systems of linear Equations in Two & Three Variables (4.1) i. Graphical Approach ii. The Substitution Method iii. The Addition/Elimination Method Using Matrices to Solve Systems (4.2 & 4.3) i. Matrix Operations ii. Matrix Inverses Systems of Linear Inequalities (4.4) i. Linear Programming (4.4) Nonlinear Systems of Equations (4.5)
6. SEQUENCES & SERIES
Students will know or understand: sequences and series, binomial theorem a. b. c. d.
Sequences (5.1) Series (5.2) Binomial Theorem (5.3) Counting Techniques (5.4)
Major Themes to Pay Attention to in this Course: Students will know or understand: connections between mathematical methods, relationships between mathematics and other disciplines, use of technology when appropriate, real world problem solving
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● ● ●
Solving equations, inequalities, and systems of equations. What are the connections between these different processes and how are they different? (Units 1, 2, 3, 4) Developing the relationship between graphs, tables, and functions/equations (Units 1,2,3,5) Building a knowledge base for families of functions: what are typical functions, how do they operate, what do they look like? (Units 1,2,3,4,5) For what purposes can computing software be used to perform algebraic tasks like solving, graphing, or manipulating tables? (Units 1, 2, 3, 4, & 5)
Summer 2016
StLCC FP: MTH 160 (College Algebra)
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