Math 221 - Calculus II
Syllabus - Fall 2001

MWF 12:10am - 1:00am, MC 414
T 11:00am - 11:50am , MC 414

Instructor: Dr. Milan Lukic
Office: MC 521
Office Hours: MTWF 2:00-3:00, or by appointment
Phone: (608) 796-3659 (Office); 787-5464 (Home)
e-mail: mnlukic@viterbo.edu
WWW: http://www.viterbo.edu/personalpages/faculty/MLukic
Course Description and Objectives

From the catalog:

Applications of the integral and techniques of integration. Trigonometric, logarithmic and exponential functions. Prerequisite: grade of C or higher in 220.

Text

Arnold Ostebee and Paul Zorn, CALCULUS, From Graphical, Numerical, and Symbolic Points of View, Saunders College Publishers, 1997.

Core (General Education) Skill Objectives:
  1. Thinking Skills:
    (a)
    Students will use reasoned standards in solving problems and presenting arguments.

    I encourage you to read the text at: <a href=''http://www.viterbo.edu/personalpages/
    faculty/RRuppel/CritThink.html''> -the Viterbo critical thinking web page </a>

  2. Communication Skills: Students will ...
    (a)
    ...read with comprehension and the ability to analyze and evaluate.
    (b)
    ...listen with an open mind and respond with respect.
    (c)
    ...access information and communicate using current technology.

  3. Life Value Skills:
    (a)
    Students will analyze, evaluate and respond to ethical issues from an informed personal value system.

  4. Cultural Skills: Students will ...
    (a)
    ...understand culture as an evolving set of world views with diverse historical roots that provides a framework for guiding, expressing, and interpreting human behavior.
    (b)
    ...demonstrate knowledge of the signs and symbols of another culture.
    (c)
    ...participate in activity that broadens their customary way of thinking.

  5. Aesthetic Skills:
    (a)
    Students will develop an aesthetic sensitivity.

Specific Course Goals:
Students will ...
  1. ...expand and apply skills and knowledge gained in the first semester of Calculus to the topics of integration and applications of integration.
  2. ...gain knowledge and skills, and the ability to apply these, to a variety of situations which might be encountered in the world of mathematics, science, or engineering.
  3. ...further improve their ability to communicate mathematical ideas and solutions to problems.
  4. ...improve their problem-solving ability.
  5. From a most general perspective, the student should see growth in his/her mathematical maturity. The three-semester sequence of calculus courses form the foundation of any serious study of mathematics or other mathematically-oriented disciplines.

General Education Course Objectives:
  1. Thinking Skills: Students will ...
    (a)
    ...understand the basic concept of the integral as the limit of a sum.
    (b)
    ...understand the Fundamental Theorem of Calculus and learn how to use it to evaluate definite integrals.
    (c)
    ...explore differentiation and integration formulas for a variety of functions, including exponential and logarithmic, trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic functions.
    (d)
    ...explore a variety of integration techniques, such as integration by parts, partial fractions, various substitution methods and methods of approximate integration.
    (e)
    ...investigate a wide variety of applications of integration, including solving simple differential equations, finding areas and arc lengths, and finding volumes and surface areas of solids of rotation.
    (f)
    ...broaden their ability to work with functions by exploring parametric equations and polar coordinates, including graphing, and differentiation and integration applications.
    (g)
    ...explore conic sections, including their treatment in polar form.

  2. Communication Skills: Students will ...
    (a)
    ...collect a portfolio during the course and write a reflection paper.
    (b)
    ...do group work (labs and practice exams) throughout the course, which will involve both written and oral communication.
    (c)
    ...use current technology (graphing calculators and Maple V) to solve problems and communicate solutions and explore options.
    (d)
    ...improve their ability to write logically valid and precise mathematical proofs and solutions.

  3. Life Value Skills: Students will ...
    (a)
    ...develop an appreciation for the intellectual honesty of deductive reasoning.
    (b)
    ...listen with an open mind and respond with respect.
    (c)
    ...understand the need to do one's own work, to honestly challenge oneself to master the material.
  4. Cultural Skills: Students will ...
    (a)
    ...develop an appreciation of the history of Calculus and the role it has played in mathematics and in other disciplines.
    (b)
    ...learn to use symbolical notation correctly and appropriately.

  5. Aesthetic Skills: Students will ...
    (a)
    ...develop an appreciation for the austere intellectual beauty of deductive reasoning.
    (b)
    ...develop an appreciation for mathematical elegance.

Format
Class sessions will consist of lectures, work in small groups, exams, and individual presentations. I expect students to work out the recommended practice problems and ask for help whenever needed.

Resources
Please do not hesitate to contact me for any question you might have; do not let a feeling such as ``I am lost ...'' to last.
  • Internet and the blackboard software. There is a lot of material on my web page. I will use the Blackboard to communicate with you, so please check your e-mail regularly. I would also like to encourage you to explore, and use numerous capabilities of that (blackboard) software.

    Another important software for this course is DERIVE.

  • Learning center.
  • A number of good calculus books, as well as a solution manual for our textbook exists.

Assignments and Grading

The following grading scale applies to individual exams, and to the overall grade as well:

A=90%, AB=87%, B=80%, BC=77%, C=70%, CD=67%, D=60%.

I expect you to work as much as necessary in order to master the course material. Naturally, the kind and the amount of that work will be very individual. Therefore, I am not going to assign any specific problems for practice on a regular basis, but I will make certain suggestions from time to time (for example, do all 9.4 exercises). I also expect you to look beyond the textbook, i.e., consult other (you find something in the library) and the internet.
Essay Autobiography: Introduce yourself to me in a 2-3 pages essay. State your name, and where (city/state) you are coming from. The reason you are taking this course, and what mathematics courses you have had before. What was your experience from those courses and what are your expectations, if any, from this course?

This assignment is due Friday, August 31.

Projects
There will be a few projects. Some of those would be a team work, and each project will have an oral presentation component (worth 30% of the points of a particular project).

Exams
There will one in-class exam, worth 100 points each. In fact, the exam will be in the learning center so that you can have more time to work on it.

The exams will be closed notes, closed book. However, a calculator and a formula sheet (but not any worked out problem) is allowed.

Final Exam
Final exam is a 2-hour, cumulative exam, and is worth 200 points.

Important University Policies
The links:
  • Plagiarism: <a href=''http://www.viterbo.edu/personalpages/
    faculty/GSmith/plagiarism.html''> - Viterbo policy statement on plagiarism </a>, see also Student Planner and Handbook, pages 128 through 131.

    See also,

    <a href=''http://www.viterbo.edu/academic/ug/
    sls/majors/english/Comp/plagiarism.html'' > English Department statement on plagiarism </a>

  • Sexual Harassment:

    <a href=''http://www.viterbo.edu/personalpages/
    faculty/GSmith/sexualharassment.html'' > Viterbo statement on sexual harassment</a> See also, Student planner and Handbook, pages 141, 142.

  • Attendance:

    <a href=''http://www.viterbo.edu/personalpages/
    faculty/GSmith/attendancepolicy.html''> - Viterbo attendance policy.</a> SPaHB pages 131, 132

  • Disability:

    Americans with Disability Act: If you are a person with a disability and require any auxiliary aids, services or other accommodations for this class, please see me and Wayne Wojciechowski in Murphy Center Room 320 (796-3085) within ten days to discuss your accommodation needs.


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