MT360a
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.
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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
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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
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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
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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:
• Forum participation = 20%
• Weekly quizzes = 80%
TOTAL = 100%
Grade Structure
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
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B+
89-87
3.33
B
86-83
3.00
B-
82-80
2.67
C+
79-77
2.33
C
76-73
2.00
C-
72-70
1.67
D+
69-67
1.33
D
66-63
1.00
D-
62-60
0.67
F
Below 60
0.00
Superior Work
Satisfactory
Unsatisfactory
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.
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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
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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.
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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
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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.
b.
Textbook Reading
Online Study Guide
Reading
Sections 1.1 and 1.2, pages
Sections 1.1.1 and 1.1.3
7-26
Section 1.3, pages 27-38
Section 1.5
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.
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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.
Section 2.1, pages 107118
Section 2.1
Textbook pages 118-122:
Problems 1, 5, 9, 13, 15, 17,
21
b.
Section 2.2, pages 122129
Section 2.2
Textbook pages 129-130:
Problems 3, 5, 11, 17, 23,
29, 33, 37
c.
Section 2.3, pages 31136
Section 2.3
Textbook pages 136-137:
Problems 3, 7, 11, 19, 25, 29
d.
Section 2.5, pages 147156
Section 2.4
Textbook pages 156-159:
Problems 1, 9, 13, 17, 19, 23
e.
Section 2.6, pages 159162
Section 2.5
Textbook pages 163-165:
Problems 3, 9, 15, 17, 23, 33
Week by Week: Read Week 2.
Weekly Forum Assignments:
• 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.
Weekly Quiz:
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.
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(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
Textbook pages 175-176:
Problems 1, 3, 5, 7, 9, 13, 15,17
Section 3.2 and 3.3
Textbook pages 188-190:
Problems 1, 3, 5, 7, 13, 15, 23,
25, 27, 33, 43
b.
Section 3.2
Week by Week: Read Week 3.
Weekly Forum Assignments:
• 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.
Weekly Quiz:
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
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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
a.
Section 3.3, pages 191197
b.
Section 3.4, pages 200202
c.
Section 3.5, pages 204208
d.
Section 4.3, pages 262267
Online Study Guide Reading Homework Problems
Sections 4.1 and 4.2
Textbook pages 198-200:
Problems 1,5, 9,11, 13, 17,
21, 33, 41, 43, 45, 49, 53, 57
Section 4.3
Textbook pages 203-204:
Problems 1, 5, 11,17, 19, 23,
25, 27
Section 4.4
Textbook pages 208-211:
Problems 5,7, 13, 17, 23, 27,
35, 37, 39, 51, 57
Sections 4.5, 4.6, and 4.7
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:
• 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.
Weekly Quiz:
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
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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
a.
Section 3.6, pages 211217
Section 5.1
Textbook pages 217-218:
Problems 5, 11, 13, 19, 21,
25, 27
b.
Section 4.4, pages 268273
Section 5.2
Textbook pages 273-275:
Problems 3, 9, 13, 23, 27, 31
c.
Section 3.7, pages 219223
Section 5.3
Textbook pages 223-225:
Problems 3, 7, 9, 13, 17, 21,
25, 37
d.
Sections 5.1 and 5.2,
pages 290-297 and 300305
Online Study Guide Reading Homework Problems
Textbook pages: 297-299:
Problems 1, 5, 7, 9, 13, 17,
23, 29
Section 5.4
Textbook pages: 305-306:
Problems 3, 5, 7, 9, 11, 13,
17, 23, 29
Week by Week: Read Week 5.
Weekly Forum Assignments:
• 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.
Weekly Quiz:
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
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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
Section 3.8
Online Study Guide Reading Homework Problems
Section 6.3.1
Textbook pages 232-233:
Problems 1, 5, 7, 13, 19, 21,
27, 35, 41
b.
Section 5.4
Section 6.2
Textbook pages 329-332:
Problems 1, 3, 7, 11, 17, 23,
27, 35
c.
Section 5.5
Sections 6.1.1 and 6.1.2
Textbook pages 339-340:
Problems 1, 5, 9, 15, 21, 25, 29
d.
Section 5.6
Section 6.1.3
Textbook pages 350-352:
Problems 3, 5, 9, 13, 17, 21,
39, 41, 45
e.
Section 5.7
Section 6.3.2
Textbook page 358: Problems
1, 5, 11, 17, 19
Week by Week: Read Week 6.
Weekly Forum Assignments:
• 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.
Weekly Quiz:
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
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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 5.8
Section 7.1
Textbook pages 363-364:
Problems 5, 11, 15, 29
b.
Section 6.1
Section 7.3.1
Textbook pages 377: Problems 1,
3, 11
c.
Section 6.2
Textbook pages 385-386:
Sections 7.2.1, 7.2.2, 7.2.3,
Problems 1, 3, 7, 9, 11, 13, 17, 23,
7.2.4, 7.2.5, and 7.2.6.1
29, 31, 37, 39
d.
e.
Textbook pages 392-393:
Problems 1, 5, 7, 11, 13, 19, 23,
25, 33, 37, 41, 49, 61, 63
Section 6.3
Section 7.2.6.2
Section 6.4
Textbook pages 404-405:
Sections 7.3.2, 7.3.3, 7.3.4,
Problems 1, 5, 7, 11, 13, 17, 23,
and 7.3.5
29, 31, 37, 39
Week by Week: Read Week 7.
Weekly Forum Assignments:
• 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.
Weekly Quiz:
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
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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
a.
Section 6.5, pages 406413
b.
Section 6.6, pages 415424
c.
Section 6.8, pages 440443
Online Study Guide Reading Homework Problems
Section 8.1, 8.2 and 8.3
Textbook pages 413-415:
Problems 5,11, 15, 17, 21,
23, 31
Sections 8.4, 8.5, and 8.6
Textbook pages 424-426:
Problems 1, 5, 7, 11, 15, 21,
25, 27, 31, 47, 53
Sections 8.7
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:
• 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.
Weekly Quiz:
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.
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