Math 123 - Calculus
I
(4 credits)
Dakota State
University … Fall Semester 2011
Section 01: MTWF 10:00 - 10:50 am, Science Center 114
Professor
Dr. Jeffrey S. Palmer
Office: Science Center 146I
Phone: 256-5190
Email: jeff.palmer@dsu.edu
Office Hours: MWF 8:30 - 8:50 am, T 9:30 - 9:50 am, MTWF 11:00 - 11:50 am, MW 2:00 - 2:50 pm, or by appointment
Homepage: http://www.homepages.dsu.edu/palmerj/
Math 102 and Math 120 (concurrent enrollment with Math 120 allowed), or appropriate math placement.
The study of limits, continuity, derivatives, applications of the derivative, antiderivatives, the definite and indefinite integral, and the fundamental theorem of calculus (2011-2012 DSU Undergraduate Catalog)
Calculus - Early Transcendental Functions, Single Variable, Third Edition by Robert T. Smith and Roland B. Minton (McGraw-Hill)
Use of Tablets in the Classroom
The
Tablet PC platform has been adopted across the DSU campus for all students and
faculty, and tablet usage has been integrated into all DSU classes to enhance
the learning environment. Tablet usage for course-related activities, note
taking, and research is allowed and encouraged by DSU instructors. However,
inappropriate and distracting use will not be tolerated in the classroom.
Instructors set policy for individual classes and are responsible for informing
students of class-specific expectations relative to Tablet PC usage. Failure to
follow the instructor’s guidelines will hinder academic performance and may lead
to disciplinary actions. Continued abuse may lead to increased tablet
restrictions for the entire class.
Because tablet technology is an integral part of this course, it is the
student’s responsibility to ensure that his/her Tablet PC is operational
prior to the beginning of each class period.
This course will probably be very different from any mathematics course you have ever taken. Typically, mathematics is taught by the “plug-and-chug" method; students are given a number of examples of certain problem types and asked to practice these manipulations on a long list of related problems. The hope is that through repetitive manipulation, skill and understanding of important concepts will be attained. Too often, however, it seems that this is not the case.
I hope you will develop knowledge of, skill in, and understanding of those fundamental calculations that are needed in your mathematical toolbox. Mathematics is not moving symbols around on a piece of paper and obtaining the correct answer. You should always be asking yourself what you are doing and why you are doing it. We will use our mathematical toolbox to examine applied problems from a variety of disciplines. Applications from biology, chemistry, physics, business, economics, and other areas form an integral part of the course. Mathematics is not a cookbook discipline; the ultimate validation of your skills and understanding is reflected in your ability to develop solutions to problems that are new and unfamiliar to you. You will encounter, in course assignments and evaluations, activities that require problem solving and critical thinking. Finally, I hope that you will come to understand and appreciate both the power and the shortcomings of technology, particularly the computer, as a tool for understanding mathematical concepts and for solving applied problems. In conclusion, as a student in this course you are expected to
learn, practice, and master basic skills
understand important concepts
apply your knowledge to other disciplines
engage in problem solving and critical thinking
use technology as an appropriate tool
On Mondays and Wednesdays we will typically spend the first 15-20 minutes answering questions on homework problems you have been assigned. The remaining 30-35 minutes will be devoted to classroom presentation, principally lecture and computer demonstration, of the material covered in chapters 1-4 of your textbook (the core material). Certain additional topics may from time to time be introduced and some sections will be skipped. On Tuesdays we will usually have another 30-35 minute classroom presentation on the core material followed by a 15-20 minute quiz. On Fridays we will be discussing material (roughly from chapter 7 of your text) on mathematical modeling and differential equations. When appropriate, we will take advantage of the computer algebra system Maple, Excel spreadsheets, and the systems modeling software Stella to assist us with our inquiries and investigations.
Lecture time is at a premium, so it must be used efficiently. You cannot be "taught" everything in the classroom. It is your responsibility to learn the material. Most of this learning must take place outside the classroom. In order to succeed, you must do your homework assignments on a daily basis. I expect that, for an average student, each will take approximately two or three hours of solid time to complete. It is critical that you not only solve problems but that you understand what you did and why. Expect this course to be both extremely challenging and yet fair. I subscribe to the philosophy that if challenged, students will respond to meet that challenge.
System General Education Goals
This course satisfies Regental General Education Goal 5: Students will understand and apply fundamental mathematical processes and reasoning.
Student Learning Outcome 1: Use mathematical symbols and mathematical structure to model and solve real world problems.
Student Learning Outcome 2: Demonstrate appropriate communication skills related to mathematical terms and concepts.
Student Learning Outcome 3: Demonstrate the correct use of quantifiable measurements of real world situations.
These outcomes shall be addressed through our study of the theory and application of limits, derivatives, and integration and will be assessed through quizzes, worksheets and examinations.
It is my plan to give a minimum of ten 10-point quizzes/worksheets during the semester. Your eight highest scores will count toward your final grade. Additionally, there are four 60-point examinations scheduled for this course. Each exam will be cumulative, covering material from the beginning of the course through the preceding Friday, however, the emphasis will be on new material.
| Exam 1 | Tuesday | 27 September | In-Class | |
| Exam 2 | Tuesday | 25 October | In-Class | |
| Exam 3 | Tuesday | 22 November | In-Class | |
| Exam 4 | Monday | 12 December | 10:30 am - 12:30 pm |
Your grade will be calculated using your accumulated point total (240 points from four examinations, and 80 points from collected quizzes/worksheets). The grading scale is
| A | B | C | D | F |
| 272 - 320 | 224 - 271 | 192 - 223 | 160 - 191 | 000 - 159 |
Students near a cutoff may receive the higher grade at the discretion of the instructor.
While there is no policy of required attendance of lectures in this course, it is unlikely that you will be able to earn a good grade without regularly attending the lectures. When you miss class, whatever the reason, you really miss important material from three lectures not one. Obviously the lesson covered that particular day is missed but you also miss out on important connections of that day’s material with the previous day’s lesson and the following day’s lesson. Also, if you are on academic probation or are an at-risk student, you are required to attend every class meeting. You are expected to arrive at lecture on time and to remain for the entire class period. If for some reason you must arrive late or leave early please do so quietly. Talking or other behavior that disrupts lecture will not be tolerated. If for any reason I am late for the start of class and you have not received official notification that the class has been canceled, you are expected to remain for 15 minutes before “assuming" that the lecture has been canceled for the day. Above all else, show respect for your classmates. Your attendance, behavior, and participation in the class have effects on others beside yourself.
Cheating and other forms of academic dishonesty run contrary to the purpose of higher education and will not be tolerated in this course. Academic dishonesty includes giving, receiving, or using unauthorized aid on any academic work. All academic work done contains an implicit pledge by you that no unauthorized aid has been received. A student guilty of first-offense academic dishonesty will receive a grade of zero for the work attempted. A student guilty of the second offense will receive a grade of “F" for the course. DSU’s policy on academic integrity (DSU Policy 04-05-00) is available online at http://www.departments.dsu.edu/hr/newsite/policies/032200.htm
Freedom in
Learning Statement
Students are responsible for learning the
content of any course of study in which they are enrolled. Under Board
of Regents and University policy, student academic performance shall be
evaluated solely on an academic basis and students should be free to
take reasoned exception to the data or views offered in any course of
study. It has always been the policy of Dakota State University to
allow students to appeal the decisions of faculty, administrative, and
staff members and the decisions of institutional committees. Students
who believe that an academic evaluation is unrelated to academic
standards but is related instead to judgment of their personal opinion
or conduct should contact the dean of the college which offers the class
to initiate a review of the evaluation.
If you have a documented disability and/or anticipate needing accommodations (e.g., non-standard note taking, test modifications) in this course, please contact the instructor. Also, please contact Dakota State University’s ADA coordinator, Keith Bundy (located in the Student Development Office in the Trojan Center Underground or via email at Keith.Bundy@dsu.edu or via phone at 605-256-5121) as soon as possible. The DSU website containing additional information, along with the form to request accommodations is available at http://www.departments.dsu.edu/disability_services/. You will need to provide documentation of your disability. The ADA coordinator must confirm the need for accommodations before officially authorizing them.
Statement
on Feedback and Communications
Typically I access and read email once per day Monday through Friday
when classes are in session. I generally respond to email messages
within 48 hours, excluding weekends and holidays. Feedback from
assignments is almost always provided within 1 week, excluding holidays,
of the assignment due date unless otherwise noted.
There is an established policy for resolving concerns regarding grades and other academic matters. This policy may be found in the university catalog. If you should have a complaint or concern about grades or any other aspect of this course you are responsible for following this established procedure.
The instructor reserves the right to make adjustments in this course!
Approximate Schedule and Course Outline
| 30 Aug | T | Introduction and Overview | |
| 31 Aug | W | 1.2 The Concept of Limit | |
| 01 Sep | R | ||
| 02 Sep | F | 1.2 / 1.3 | |
| 05 Sep | M | No Class - Labor Day | |
| 06 Sep | T | 1.3 Computation of Limits | |
| 07 Sep | W | 1.4 Continuity and Its
Consequences Last Day to Add/Drop a Full Semester Class |
|
| 08 Sep | R | ||
| 09 Sep | F | 1.4 / 1.5 | |
| 12 Sep | M | 1.5 Limits Involving Infinity | |
| 13 Sep | T | 1.6 Formal Definition of the Limit | |
| 14 Sep | W | 1.6 / 2.1 | |
| 15 Sep | R | ||
| 16 Sep | F | Modeling Application: A Simple Epidemic - Introduction | |
| 19 Sep | M | 2.1 Tangent Lines and Velocity | |
| 20 Sep | T | 2.2 The Derivative | |
| 21 Sep | W | 2.2 / 2.3 | |
| 22 Sep | R | ||
| 23 Sep | F | Modeling Application: A Simple Epidemic - Conclusion | |
| 26 Sep | M | 2.3 Computation of Derivatives: The Power Rule | |
| 27 Sep | T | EXAM 01 | |
| 28 Sep | W | 2.4 The Product and Quotient Rules | |
| 29 Sep | R | ||
| 30 Sep | F | Modeling Application: Constant Flows - Introduction | |
| 03 Oct | M | 2.4 / 2.5 | |
| 04 Oct | T | 2.5 The Chain Rule | |
| 05 Oct | W | 2.6 Derivatives of Trigonometric Functions | |
| 06 Oct | R | ||
| 07 Oct | F | Modeling Application: Constant Flows - Conclusion | |
| 10 Oct | M | No Class - Native American Day | |
| 11 Oct | T | 2.6 / 2.7 | |
| 12 Oct | W | 2.7 Derivatives of Exponential and Logarithmic Functions | |
| 13 Oct | R | ||
| 14 Oct | F | Modeling Application: Exponential Growth and Decay - Introduction | |
| 17 Oct | M | 2.8 Implicit Differentiation and Inverse Trigonometric Functions | |
| 18 Oct | T | 2.8 / 3.1 | |
| 19 Oct | W | 3.1 Linear Approximations and Newton's Method | |
| 20 Oct | R | ||
| 21 Oct | F | Modeling Application: Exponential Growth and Decay - Conclusion | |
| 24 Oct | M | 3.2 Indeterminate Forms and L'Hopital's Rule | |
| 25 Oct | T | EXAM 02 Mid-term Deficient Grades Due |
|
| 26 Oct | W | 3.2 / 3.3 | |
| 27 Oct | R | ||
| 28 Oct | F | Modeling Application: A Model Lake - Introduction | |
| 31 Oct | M | 3.3 Maximum and Minimum Values | |
| 01 Nov | T | 3.4 Increasing and Decreasing Functions | |
| 02 Nov | W | 3.4 / 3.5 | |
| 03 Nov | R | ||
| 04 Nov | F | Modeling Application: A Model Lake - Conclusion | |
| 07 Nov | M | 3.5 Concavity and the Second Derivative Test | |
| 08 Nov | T | 3.6 Overview of Curve Sketching | |
| 09 Nov | W | 3.6 / 3.7 | |
| 10 Nov | R | Last Day to Withdraw | |
| 11 Nov | F | No Class - Veterans Day | |
| 14 Nov | M | 3.7 Optimization | |
| 15 Nov | T | 4.1 Antiderivatives | |
| 16 Nov | W | 4.1 / 4.2 | |
| 17 Nov | R | ||
| 18 Nov | F | Modeling Application: Newton's Law of Heating and Cooling - Introduction | |
| 21 Nov | M | 4.2 Sums and Sigma Notation | |
| 22 Nov | T | EXAM 03 | |
| 23 Nov | W | No Class - Thanksgiving Holiday | |
| 24 Nov | R | No Class - Thanksgiving Holiday | |
| 25 Nov | F | No Class - Thanksgiving Holiday | |
| 28 Nov | M | 4.3 Area | |
| 29 Nov | T | 4.3 / 4.4 | |
| 30 Nov | W | 4.4 The Definite Integral | |
| 01 Dec | R | ||
| 02 Dec | F | Modeling Application: Newton's Law of heating and Cooling - Conclusion | |
| 05 Dec | M | 4.5 The Fundamental Theorem of Calculus | |
| 06 Dec | T | 4.5 / 4.6 | |
| 07 Dec | W | 4.6 Integration by Substitution | |
| 08 Dec | R | ||
| 09 Dec | F | Wrap Up and Conclusion | |
| 12 Dec | M | EXAM 04 |
Modeling Application Topics
|
A Simple Epidemic Constant Flows Exponential Growth and Decay A Model Lake Newton's Law of Heating &
Cooling |