Online Course Syllabus MT360A Calculus 1 Important Notes: This document provides an overview of expectations for this online course and is subject to change prior to the term start. Changes may also occur during the term due to faculty or SPS Distance Learning course updates. Some links may only be active once the term starts. For this course you must check the Regis Bookstore: http://www.efollett.com for the most current online course material information. Course Description Course Outline Course Outcomes Required Course Materials Grading Criteria Important Note Regarding Workload and Assignments General Policies Jesuit Education Assignments Course Description This course introduces the student to the mathematics of functions modeling continuous change. Models of continuous change are particularly important for viewing and analyzing the physical world. A wide range of computational, graphical, and symbolic techniques are developed to support this type of analysis. Prerequisites A college algebra course (e.g., MT 201) with a grade of C or better. Course Outline Week 1: Preliminaries Week 2: Limits
Week 3: Introduction to the Derivative Week 4: Techniques of Differentiation Week 5: More Derivatives and Applications Week 6: Optimization and Linear Approximation Applications Week 7: Mean Value Theorem, a Conceptual Investigation of Area, and Techniques of Differentiation Week 8: Definite Integrals Note: Specific course outcomes for each week are located in the Week-by-Week area of this course. Course Outcomes Upon completion of this course, students should be able to achieve the following five outcomes: Use numerical, graphical, and symbolic techniques to determine limits and continuity of a function at a point, Use numerical, graphical, and symbolic techniques to determine limits of a function for extreme values, Calculate the average and instantaneous rate of change of a function, Calculate derivative functions, Use derivative functions to determine qualitative properties of functions, Use derivative functions to solve related rate problems, Use derivative functions to solve optimization problems, Use linear approximation to estimate function values and roots of functions, Find antiderivatives of basic functions, Estimate areas using limits, and Apply the fundamental theorems of calculus to evaluate definite integrals. Required Course Materials
Required Text Anton, Howard A., Biven, Irl, & Davis, Stephen. (2002). Early Transcendentals Calculus (7th ed.). Hoboken, NJ: John Wiley. Required Calculator TI-83 or equivalent Optional Text Amdahl, Kenn & Loats, Jim (2001) Calculus For Cats (1st) ISBN: 0-9627815-5-X Clearwater Publishing Company Recommended (Optional) Resources Anton, Howard et al., Calculus Student Solutions Manual. TI-8x Graphing Calculator Reference Manual. Grading Criteria You will be evaluated on fulfilling the course objectives and scores on weekly quizzes. Your understanding of course content will be analyzed using the following activities: Grade Structure Forum participation = 20% Weekly quizzes = 80% TOTAL = 100% Letter grades will be awarded according to the number of points earned as indicated in the following scale: Letter Grade Numerical Grade Range Quality Points Description A 100-93 4.00 Outstanding Scholarship A- 92-90 3.67
B+ 89-87 3.33 B 86-83 3.00 Superior Work B- 82-80 2.67 C+ 79-77 2.33 C 76-73 2.00 Satisfactory C- 72-70 1.67 D+ 69-67 1.33 D 66-63 1.00 Unsatisfactory D- 62-60 0.67 F Below 60 0.00 Failure Incomplete ("I/F") grades: Only in extreme emergencies will a student be given an incomplete grade. An incomplete grade results when a student is unable to complete any exam by the last day of class, or turn in assignments that would otherwise result in a passing grade, DUE TO EXTENUATING CIRCUMSTANCES. The reason supporting such a grade MUST be provided to the instructor, IN WRITING, before the last day of class. In all cases, the incomplete grade will indicate an "F" status. If the grade is approved, the requirements must then be completed within the following 30 days. Failure to complete the requirements within this time frame will result in a permanent grade of "F". While not mandatory, missing homework assignments, still eligible for partial credit, should also be completed during this time. Please note that the instructor will be occupied with other courses during succeeding terms and WILL NOT be available for help after the end of the current term. Breakdown and Description of Criteria Elements Forum participation Each student is expected to participate in the weekly Forum by responding to facilitator-initiated questions and the postings of other students. Weekly quizzes Each student is expected to complete the online end-of-week quizzes as assigned in the Assignments page.
Description of Forum Activities The Forum is your primary link to other students and to your facilitator. Your facilitator will post any information and/or additional assignments to the Forum. You will communicate with your facilitator and the other students in the class via the Forum. Each student is expected to participate in the weekly Forum by: Responding to instructor-initiated questions, Posting questions about the course materials, Responding to the postings of other students, and Responding to all Forum activities. Formatting Requirements for Written Assignments This class does not require written submissions. Important Note Regarding Workload and Assignments This accelerated class requires students to take a great deal of responsibility for their own learning outcomes. Students are expected to actively participate in the discussions and learning activities, and adhere to all posted due dates. Expect to spend a minimum of 25 hours per week to complete the weekly Forum activities and other assignments for this course. Important: This is not an individually paced course. The facilitator may make additional or alternate assignments. General Policies University Policies All Regis University, School for Professional Studies, policies apply to this course. Students are advised to review these policies on pages 10-12 in the Regis University, School for Professional Studies Student Guidebook, 2004-2005. Ethics Statement An integral component of courses in the School for Professional Studies undergraduate programs is student and facilitator self-disclosure (the use of personal experiences) for the purpose of facilitating
course work. Students enrolled in the program are expected to honor confidentiality as it pertains to student disclosure. No shared information, comments, or opinions expressed by another student or the facilitator during the course of classroom discussion should ever be used in a manner in which is intended to humiliate, embarrass, harass, damage, or otherwise injure other students in their personal, public, or organizational lives. In addition, confidentiality must be upheld by not disclosing any information that would identify any particular individual. An additional integral component of higher education is challenging personal perceptions and beliefs regarding course content and integrating information, as well as understanding opposing perceptions and beliefs. Thus, students have the right to choose how much they will disclose, and all must accept the responsibility of respecting the disclosure of other students and facilitators. Jesuit Education Mission The Mission of Regis University is to develop men and women to be leaders in service of others. The foundation of a Jesuit Catholic University is in providing a value-based education with a focus on finding good in all things. Ethics and Values To this end, we will encourage the discussion of different views and perspectives and the ethical implications for those in public service. The purpose of this discourse is to assist us as in seeking an answer to the question posed by Ignatius Loyola, founder of the Jesuits, "How ought we to live?" Online Course Assignments MT360A This section allows you to preview the weekly requirements for your course. View the content in the Week by Week for full details. Week: 1 2 3 4 5 6 7 8 About This Page The Course Assignments page does not provide all of the specific details and instructions that you need to complete assignments. For specific information about each assignment, go to the Week by Week. Course Dynamics This course is organized around an eight-week program. Weekly outcomes, assignments, and critical information are organized week by week. Typically, each week includes a reading assignment, Forum submittal, and a quiz.
Online weeks correlate to a seven-day workweek. Each week's work begins on a Sunday. Week 1 begins on the first day of the term, which is always a Monday. Prior to the start of each week, Sunday, complete the reading assignments. On Sunday of each week, read your weekly critical information found in the Week-by-Week section. (Note: Your timely understanding of critical information content may be required to complete your weekly assignment or final project.) Generally, you should have participated in the Forum discussions and read other student postings by Thursday of each week, and by Sunday, you should have posted at least one substantive response. Note: You should always check the Forum first thing Monday morning. It is advisable to check the Forum every time you log in. Assignments Below is a list of all assignments by week. For additional details about individual assignments, see the Week by Week. Week 1: Preliminaries Getting Started(two bullets follow) Orient yourself to the course Web site. In particular, the Week by Week area and the Syllabus. By midnight Wednesday, post your introduction to the Forum in the Introduction folder. Your post should include:(five sub-bullets follow) Your name (as registered at Regis) and any nickname you use, Contact information (e-mail address, and work and home telephone numbers), so that the facilitator can contact you, A summary to introduce yourself to the class, A brief description of math courses taken previously, A brief description of the relevance of mathematics to your present (or previous, if unemployed) job, and What you would like to get out of this course. Note: This assignment is also used to acknowledge your registration to the facilitator and confirm your class participation. If you do not respond to this assignment, you will be considered a "no show" and reported
to the registrar as such. Take the pretest: This should be done as soon as possible, but no later than midnight Wednesday of Week 1. Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part a. Textbook Reading Sections 1.1 and 1.2, pages 7-26 Online Study Guide Reading b. Section 1.3, pages 27-38 Section 1.5 Sections 1.1.1 and 1.1.3 Homework Problems Textbook pages 14-15: Problems 1, 3, 9 Textbook pages 25-26: Problems 1, 3, 7, 9, 13, 17 Textbook pages 36-38: Problems 1, 3, 7, 15, 21, 23, 27, 29, 33, 45 Textbook pages 48-50: Problems 3, 39, 43, 47, 51, 53, 59 c. Sections 1.4, 1.5, 1.6, pages 38-78 Sections 1.4, 1.5, and 1.6, pages 38-78 Textbook pages 59-61: Problems 1, 3, 7, 15, 21, 23, 27, 29, 33, 45 Textbook pages 75-77: Problems 1, 7, 11, 13, 27, 33 d. Section Appendix E Section 1.2, 1.3, and 1.4 Textbook pages A47-A48: Problems 1, 3, 5, 9, 13, 15, 21, 23, 27, 29, 33, 45 Week by Week: Read Week 1. Weekly Forum Assignments: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 1. Read all posted answers and post at least one substantive response by midnight Sunday.
Weekly Quiz: By midnight Sunday, access and complete the Week 1 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. (Top of page) Week 2: Limits Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading Homework Problems a. b. c. d. e. Section 2.1, pages 107-118 Section 2.2, pages 122-129 Section 2.3, pages 31-136 Section 2.5, pages 147-156 Section 2.6, pages 159-162 Section 2.1 Section 2.2 Section 2.3 Section 2.4 Section 2.5 Textbook pages 118-122: Problems 1, 5, 9, 13, 15, 17, 21 Textbook pages 129-130: Problems 3, 5, 11, 17, 23, 29, 33, 37 Textbook pages 136-137: Problems 3, 7, 11, 19, 25, 29 Textbook pages 156-159: Problems 1, 9, 13, 17, 19, 23 Textbook pages 163-165: Problems 3, 9, 15, 17, 23, 33 Week by Week: Read Week 2. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 2. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 2 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week.
(Top of page) Week 3: Introduction to the Derivative Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading Homework Problems a. Section 3.1 Section 3.1 b. Section 3.2 Section 3.2 and 3.3 Textbook pages 175-176: Problems 1, 3, 5, 7, 9, 13, 15,17 Textbook pages 188-190: Problems 1, 3, 5, 7, 13, 15, 23, 25, 27, 33, 43 Week by Week: Read Week 3. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 3. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 3 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. (Top of page) Week 4: Techniques of Differentiation
Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading Homework Problems a. b. c. d. Section 3.3, pages 191-197 Section 3.4, pages 200-202 Section 3.5, pages 204-208 Section 4.3, pages 262-267 Sections 4.1 and 4.2 Section 4.3 Section 4.4 Sections 4.5, 4.6, and 4.7 Textbook pages 198-200: Problems 1,5, 9,11, 13, 17, 21, 33, 41, 43, 45, 49, 53, 57 Textbook pages 203-204: Problems 1, 5, 11,17, 19, 23, 25, 27 Textbook pages 208-211: Problems 5,7, 13, 17, 23, 27, 35, 37, 39, 51, 57 Textbook pages 267-268: Problems 1,3, 7, 13, 17, 25, 29, 33, 37, 41, 47 Week by Week: Read Week 4. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 4. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 4 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. (Top of page) Week 5: More Derivatives and Applications
Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading Homework Problems a. b. c. d. Section 3.6, pages 211-217 Section 4.4, pages 268-273 Section 3.7, pages 219-223 Sections 5.1 and 5.2, pages 290-297 and 300-305 Section 5.1 Section 5.2 Section 5.3 Section 5.4 Textbook pages 217-218: Problems 5, 11, 13, 19, 21, 25, 27 Textbook pages 273-275: Problems 3, 9, 13, 23, 27, 31 Textbook pages 223-225: Problems 3, 7, 9, 13, 17, 21, 25, 37 Textbook pages: 297-299: Problems 1, 5, 7, 9, 13, 17, 23, 29 Textbook pages: 305-306: Problems 3, 5, 7, 9, 11, 13, 17, 23, 29 Week by Week: Read Week 5. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 5. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 5 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. (Top of page) Week 6: Optimization and Linear Approximation Applications
Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading Homework Problems a. Section 3.8 Section 6.3.1 b. Section 5.4 Section 6.2 c. Section 5.5 Sections 6.1.1 and 6.1.2 d. Section 5.6 Section 6.1.3 e. Section 5.7 Section 6.3.2 Textbook pages 232-233: Problems 1, 5, 7, 13, 19, 21, 27, 35, 41 Textbook pages 329-332: Problems 1, 3, 7, 11, 17, 23, 27, 35 Textbook pages 339-340: Problems 1, 5, 9, 15, 21, 25, 29 Textbook pages 350-352: Problems 3, 5, 9, 13, 17, 21, 39, 41, 45 Textbook page 358: Problems 1, 5, 11, 17, 19 Week by Week: Read Week 6. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 6. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 6 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. (Top of page) Week 7: Mean Value Theorem, a Conceptual Investigation of Area, and Techniques of Differentiation
Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading a. Section 5.8 Section 7.1 b. Section 6.1 Section 7.3.1 c. Section 6.2 Sections 7.2.1, 7.2.2, 7.2.3, 7.2.4, 7.2.5, and 7.2.6.1 d. Section 6.3 Section 7.2.6.2 e. Section 6.4 Sections 7.3.2, 7.3.3, 7.3.4, and 7.3.5 Homework Problems Textbook pages 363-364: Problems 5, 11, 15, 29 Textbook pages 377: Problems 1, 3, 11 Textbook pages 385-386: Problems 1, 3, 7, 9, 11, 13, 17, 23, 29, 31, 37, 39 Textbook pages 392-393: Problems 1, 5, 7, 11, 13, 19, 23, 25, 33, 37, 41, 49, 61, 63 Textbook pages 404-405: Problems 1, 5, 7, 11, 13, 17, 23, 29, 31, 37, 39 Week by Week: Read Week 7. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 7. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 7 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. (Top of page) Week 8: Definite Integrals
Reading and Homework Problems: Note: The homework problems below are for review purposes; if the problems are well understood, you may skip them. Part Textbook Reading Online Study Guide Reading Homework Problems a. b. c. Section 6.5, pages 406-413 Section 6.6, pages 415-424 Section 6.8, pages 440-443 Section 8.1, 8.2 and 8.3 Sections 8.4, 8.5, and 8.6 Sections 8.7 Textbook pages 413-415: Problems 5,11, 15, 17, 21, 23, 31 Textbook pages 424-426: Problems 1, 5, 7, 11, 15, 21, 25, 27, 31, 47, 53 Textbook pages 444-445: Problems 1, 3, 7, 11, 13, 15, 17, 21, 25, 35, 51, 55 Week by Week: Read Week 8. Weekly Forum Assignments: Weekly Quiz: By midnight Thursday, respond to the Forum question in the Weekly Activities section of Week 8. Read all posted answers and post at least one substantive response by midnight Sunday. By midnight Sunday, access and complete the Week 8 end-of-week quiz as outlined in the Weekly Activities section in the Week-by-Week. Online Course Evaluation: Please complete the online course evaluation form by midnight Sunday. This feedback goes to Regis SPS, and will not be seen by the facilitator until after grades have been issued. The form is located at the bottom of the content in the Week by Week. (Top of page) Please contact techsupport@regis.edu if you need assistance or to report any problems. 2005 Regis University. All rights reserved.