ST. LOUIS COMMUNITY COLLEGE (FP) DEPARTMENT OF MATHEMATICS ANALYTIC GEOMETRY & CALCULUS I (MTH 210 470) Online Fall 2016 (August 22 December 15) Instructor: Mike Lueke Office: Forest Park Campus, Tower A, Room 320 Contact Information: 314 644 9269 / hlueke@stlcc.edu / @mikelueke (twitter) Campus Office Hours: Monday & Wednesday: 8:30 10:00 am & 12:05 1:30 pm Tuesday & Thursday: 8:30 9:30 am & 11:10 1:30 pm Other campus or virtual hours may be arranged by appointment. Prerequisite: Sufficient score on an appropriate test, OR MTH:185 OR (MTH:160, MTH:160A, MTH:160B or MTH:160C and MTH:170) with grades of "C" or better or satisfactory score on placement test AND Reading Proficiency. COURSE CONTENT : Description: Five credits Topics included are limits and continuity of functions of a single variable, derivatives and antiderivatives of algebraic functions and trigonometric functions, and applications. Please see the detailed Course Overview page in this packet for more information. Course All required course materials can be obtained at no cost to students. The textbook is Materials: Calculus, Volume 1 published by OpenStax through Rice University. 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 16 ⅔ % = 50% FInal Exam: 20% 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 Boards Score Average) +.16666667 x Exam #1 Score +.16666667 x Exam #2 Score +.16666667 x Exam #3 Score +.20 x Score. Assignments/ All required tasks except exams can 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 four 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. The first three exams are scheduled for September 22, October 20, and November 17. The final exam is cumulative and scheduled for Thursday, December 15. See Pages 3 4 for more information. Attendance: Attendance in an online course means engaging actively and productively with course materials, other students, or the instructor. Your activity in the course is recorded by the instructor and 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. Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 1
Withdrawal: The last day to withdraw from the course is Friday, November 11. 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: NOTE : COLLEGE CLOSING : 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. The College has professionals to guide, counsel, and assist students with disabilities. The ACCESS Office, 314 644 9039, Room G 223, can evaluate and approve your accommodation needs. For more information, please visit: http://www.stlcc.edu/disability/access_office/index.html St. Louis Community College will remain open except under very severe weather conditions. Official announcements will be broadcast on KMOX AM (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 314 951 9463. SYLLABUS CHANGES: Syllabus content is subject to change. All changes will be announced via email and posted in Blackboard and MyOpenMath. Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 2
ST. LOUIS COMMUNITY COLLEGE (FP) ANALYTIC GEOMETRY & CALCULUS I Course Structure & Overview Students must complete: Four on campus exams (3 x 16 ⅔% each = 50% + 1 final exam = 20% ) Assignments (15%) Nine Activities (10%) Six Weekly Discussion Forum Posts (5%) Deadlines and relevant dates for each of these 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/location: Testing at an alternative 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. For those in the St. Louis region who wish to test at the Meramec, Florissant Valley, or Wildwood campus, 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 Wildwood Testing G 229 A 153 CN 229 Student Affairs Office fpassessment@stlcc.edu fvassessment@stlcc.edu mcassessment@stlcc.edu (email me before calling) 314 644 9257 314 513 4292 314 984 7596 636 422 2000 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 (13412) and enrollment key lueke34161. Instructional video(s) for accessing MyOpenMath and related materials are provided in the course Blackboard page. Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 3
ST. LOUIS COMMUNITY COLLEGE (FP) ANALYTIC GEOMETRY & CALCULUS I CALENDAR (all due dates) August 22, 2016: August 28, 2016 @ 11:59 pm: September 4, 2016 @ 11:59 pm: September 11, 2016 @ 11:59 pm: September 18, 2016 @ 11:59 pm: September 21 10:00 am 2:30 pm or September 22 8:30 1:00 pm: September 25, 2016 @ 11:59 pm: October 2, 2016 @ 11:59 pm: October 9, 2016 @ 11:59 pm: Classes begin for the 2016 Fall 2016 semester @ StLCC Assignment 1 is due Activity #1 is due Discussion Forum post(s) #1 due. Discussion Forum post(s) #2 due. Activity #2 is due Discussion Forum post(s) #3 due Assignments 2.1 2.5, & 3.1 3.4 are due Activity #3 is due Discussion Forum post(s) #4 due. Exam #1 (schedule a two hour block with the instructor) Discussion Forum post(s) #5 due. Activity #4 is due. Discussion Forum post(s) #6 due. Activity #5 is due. Discussion Forum post(s) #7 due. October 16, 2016 @ 11:59 pm: Assignments 4.1 4.8 Activity #6 is due. Discussion Forum post(s) #8 due. October 19 10:00 am 2:30 pm Or October 20, 8:30 1:00 pm: October 23, 2016 @ 11:59 pm: October 30, 2016 @ 11:59 pm: November 6, 2016 @ 11:59 pm: November 13, 2016 @ 11:59 pm: November 16 10:00 am 2:30 pm or November 17, 9:30 11:30 am: November 20, 2016 @ 11:59 pm: Exam #2 (schedule a two hour block with the instructor) Discussion Forum post(s) #9 are due Discussion Forum post(s) #10 due. Discussion Forum post(s) #11 due. Activity #7 is due Assignments 5.1 5.6 are due Activity #8 is due Discussion Forum post(s) #12 due. Exam #3 (schedule a two hour block with the instructor) Discussion Forum post(s) #13 due. Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 4
November 27, 2016 @ 11:59 pm: December 4, 2016 @ 11:59 pm: December 14, 2016 @ 11:59 pm: December 14 10:00 am 2:30 pm or December 15 9:00 2:00 pm: December 15 @ 11:59 pm: Discussion Forum post(s) #14 due. Discussion Forum post(s) #15 due. Discussion Forum post(s) #16/#17 due. ALL work must be completed in order to earn credit (late work is accepted until but not past this time) SUGGESTED SCHEDULE (Six Days Each Week ~ 1.5 2 Hours Each Day) Week Day One Day Two Day Three Day Four Day Five Day Six WEEK 1 Aug 22 28 Log in to MyOpenMath & Discussion Forum #1 Unit 1 Unit 1 Unit 1 Section 2.1 Section 2.1 WEEK 2 August 29 Sept 4 WEEK 3 September 5 11 Section 2.2 Section 2.2 Section 2.3 Section 2.3 Section 2.4 Section 2.4 Section 2.5 Section 2.5 Section 2.5 Section 3.1 Section 3.1 Section 3.1 WEEK 4 September 12 18 Activity #2 & Section 3.2 Section 3.2 Section 3.3 Section 3.3 Section 3.4 Section 3.4 & Activity #2 TASKS ARE DUE; Use LatePasses as Necessary WEEK 5 September 19 25 Section 3.4 Exam #1 Exam #1 Exam #1 (Cumulative) Wed 9/21 OR Thu 9/22 (Make an Appointment w/ the Instructor) Section 4.1 Section 4.1 WEEK 6 Sept 26 October 2 Activity #4 & Section 4.2 Section 4.2 Section 4.2 Section 4.3 Section 4.3 Section 4.3 & Activity #4 Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 5
WEEK 7 October 3 9 Section 4.4 Section 4.4 Section 4.5 Section 4.5 Section 4.5 Section 4.6 WEEK 8 October 10 16 Section 4.6 Section 4.6 Section 4.7 Section 4.7 Section 4.7 & Activity #5 (in Section 4.7) Section 4.8 TASKS ARE DUE; Use LatePasses as Necessary WEEK 9 October 17 23 Section 4.8 Exam #2 Exam #2 Exam #2 (Cumulative) Wed 10/19 OR Thu 10/20 (Make an Appointment w/ the Instructor) WEEK 10 October 24 30 Section 5.1 Section 5.1 Section 5.1 Section 5.2 Section 5.2 Section 5.2 & Activity #6 WEEK 11 October 31 Nov 6 Section 5.3 Section 5.3 Section 5.3 & Activity #7 Section 5.4 Section 5.4 Section 5.4 WEEK 12 November 7 13 Section 5.5 Section 5.5 Section 5.5 Section 5.6 Last Day to Withdraw (Nov 11) Section 5.6 Section 5.6 TASKS ARE DUE; Use LatePasses as Necessary WEEK 13 November 14 20 Activity #8 & Prepare for Exam #3 Prepare for Exam #3 Prepare for Exam #3 Exam #2 (Cumulative) Wed 11/16 OR Thu 11/17 (Make an Appointment w/ the Instructor) Section 6.1 Section 6.1 WEEK 14 November 21 27 Section 6.1 Section 6.2 Section 6.2 Thanksgiving Day Holiday (Day Off) Thanksgiving Day Holiday (Day Off) Thanksgiving Day Holiday (Day Off) WEEK 15 Nov 28 December 4 Section 6.2 Section 6.2 & Activity #9 Section 6.3 Section 6.3 Section 6.3 Complete ANY Remaining Assignments or Activities Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 6
WEEK 16 December 5 11 Complete ANY Remaining Assignments or Activities Complete ANY Remaining Assignments or Activities WEEK 17 December 12 15 FINAL EXAM (Cumulative) Wed Dec 14 OR Thu Dec 15 (Make an Appointment w/ the Instructor) ALL tasks are due at 11:59 pm 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 work or theirs that 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). Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 7
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! When responding to a classmate s question, always do three things : a. Determine and highlight something 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!) Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 8
ST. LOUIS COMMUNITY COLLEGE (FP) ANALYTIC GEOMETRY & CALCULUS I Course Overview and Review Sheet 1. REVIEW a. Algebra and Functions (Section 1.1 & Diagnostic Tests A & C) i. Simplifying Expressions using rules and techniques for: 1. Exponents 2. Rational expressions 3. Polynomials ii. Solving Equations & Inequalities 1. Polynomial 2. Rational 3. Absolute Value iii. Functions 1. Definitions & Evaluation 2. Different Representations 3. Important families of functions 4. Domain & Range 5. Transformations, Compositions, & Inverses b. Analytic Geometry (Section 1.2 & Diagnostic Test B) i. Linear equations/graphs and analyzing features (slope, intercepts, etc.) ii. Polynomial equations/graphs and analyzing features iii. Distances & Midpoints iv. Conic Sections (Circles, Parabolas, Ellipses, & Hyperbolas) c. Trigonometry (Section 1.3, Diagnostic Test D) i. Definitions ii. Evaluation (e.g., the unit circle, reference triangles) iii. Graphs iv. Trig Identities 2. LIMITS & CONTINUITY Students will know or understand: limits and continuity a. Introduction to Limits (Sections 2.1 & 2.2) i. Tangent & velocity Problems ii. The limit of a function b. Working with Limits using the Limit Laws (Section 2.3) c. Continuity and its Relationship to Limits (Section 2.4) d. Precisely Defining the Limit concept (Section 2.5) i. Explaining and using the definition using graphical representations ii. Using proofs to demonstrate limits 3. RATES OF CHANGE & DERIVATIVES Students will know or understand: derivatives of algebraic and trigonometric functions; applications of the derivative; connections between mathematical methods; relationships between mathematics and other disciplines; appropriate use of technology a. The Derivative as a Rate of Change (Section 3.1) Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 9
b. The Derivative as a Function (Section 3.2) c. Differentiation Rules (Section 3.3) d. Derivatives of Trig Functions (Section 3.3) e. The Chain Rule (Section 3.4) f. Implicit Differentiation (Section 3.4) g. Applications of Differentiation i. Related Rates (Section 4.1) ii. Linear Approximations and Differentials (Section 4.2) iii. Maxima and Minima (Section 4.3) iv. The Mean Value Theorem (Section 4.4) v. The Shapes of Graphs (Section 4.5) vi. Limits at infinity and Asymptotes(Section 4.6) vii. Curve Sketching & Technology(Section 4.7) viii. Optimization (Section 4.8) ix. Newton s Method (Extra Credit) 4. INTEGRATION Students will know or understand: integrals; applications of integration; connections between mathematical methods; relationships between mathematics and other disciplines; appropriate use of technology a. Areas and Distances (Section 5.1) b. The Definite Integral (Section 5.2) c. Antiderivatives (Section 5.3) d. The Fundamental Theorem of Calculus (Section 5.4) e. Indefinite Integrals (Section 5.5) f. The Substitution Rule (Section 5.6) g. Applications of Integration i. Areas Between Curves (Section 6.1) ii. Volumes Using Discs & Washers (Section 6.2) iii. Volumes by Cylindrical Shells (Section 6.2) iv. Work (Section 6.3) v. Other Applications (Section 6.3) 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 Developing a strong foundation of limits as a basis for all of calculus (Unit 2) How do the concepts of limits, derivatives, and integrals play out as the representation of the functions changes from graphical to symbolic (or tabular)? (All Chapters) Building a set of problem situations that can be modeled with calculus concepts, and choosing appropriate technological tools to perform the modeling (All Chapters) Fall 2016 StLCC FP: MTH 210 (Analytic Geometry & Calculus I) Page 10