Math 230: Spring 2007

Top Objectives Weekly Outline Grading Gen Ed Philosophy

Devry University
North Brunswick, New Jersey
PHONE: (732) 435-4880 Ext:3916
FAX: (732) 435-4861
E-Mail: dchelst@devry.edu
Course Materials On the Web: www.devryu.net, www.chelst.com, and www.nj.devry.edu/~dchelst/

Course Syllabus Math 230: Spring 2007

Course: Applied Calculus II
Instructor: Dr. Dov Chelst
Course Number: Math 230
Contact Hrs: 3
Prerequisite: Math 216 (Applied Calculus I)
Credit Hrs: 3

Office Hours in Room 916: Monday 10-11am, Tuesday & Friday 12-1pm

COURSE SPECIFICS (Very Important!)

Required Textbook: Technical Calculus With Analytic Geometry, 4th ed., Allyn Washington, Addison-Wesley, 2001

Reference Books:

Calculus; 3rd ed.; Strauss, Bradley and Smith; Prentice-Hall; NJ 2002
Calculus; 5th ed.; James Stewart; Brooks/Cole; 2002
How To Ace Calculus: The Streetwise Guide; Adams, Hass & Thompson; W. H. Freeman, 1998
How to Ace the Rest of Calculus: The Streetwise Guide: Including Multi-Variable Calculus; Adams, Hass & Thompson; W. H. Freeman, 2001

Free tutoring is available at Educational Services, Room 240.

Course Description

The course extends the material from the first semester of calculus. This includes advanced methods of integration and additional methods of solving differential equations. These include standard methods and the Laplace transform method. In addition, we cover series methods from regular series, to power series and Fourier series. Finally, we will learn about the differences and similarities between the calculus of single variable and multivariable functions.

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(Terminal) Course Objectives:
By the end of the course, students should be able to:

Using a variety of advanced integration techniques such as integration by substitution, by parts, by partial fractions, and using tables, determine the most appropriate method to integrate a given expression consisting of algebraic and transcendental functions; apply the developed integration techniques to electronics problems such as such determination of the average value and root mean square value.
Given a series, determine its type; find the general term, and its sum.
Given a function, expand it into Maclaurin series or as a Taylor series about a specific value.
Given a periodic function, expand it as a Fourier series in trigonometric (and exponential) form.
Given a first-order differential equation with an initial condition, find its solution.
Given a second-order, or higher-order differential equation and a set of initial conditions, find its solution.

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(Tentative) Weekly Outline

Week	Section(s)	Description
1	Ch.9	Review of Definite and Indefinite Integration
2	10.1-10.2	Integration by Parts & By Substitution
3	10.3-10.6	Trigonometric Substitution & Partial Fractions
4	10.4-10.7	Partial Fractions & Improper Integrals
5	Exam #1	Chapters 9 & 10 (not 10.7)
5	10.7 & Start Ch. 13	Improper Integrals & Introducing Series
6	Middle of Ch.13	Power Series: Theory, Techniques & "Applications"
7	End of Ch.13	Fourier Series
8	End of Ch.13	Fourier series
9	Parts of Ch. 14	Series Completed, Basic Differrential Equations & Exam Review
10	Exam #2	10.7 & Chapter 13
10	Parts of Chapter 14	First-Order Differential Equations Continued
11	Parts of Chapter 15	Higher-Order Linear Differential Equations
12	16.3-16.4	Laplace Transform Methods
13	11.1-11.4	Functions of Two Variables
14	Exam #3	Portions of Chapters 14, 15, 16 & 11

Homework

All homework assignments will be posted at the Course Web Page (http://www.devryu.net). Check the page at least once a week for the latest information about quizzes, homework, and exams. Textbook Exercises are assigned weekly from the textbook and will not be graded. In additional, students will be given approximately 5 assignments to complete using Matlab. All homework can be discussed within the online discussion threads.

Quizzes

There will be short weekly quizzes (15-20 minutes) during the semester. Quiz problems will closely resemble text exercises of moderate difficulty. The lowest quiz grade(s) will be dropped. No quizzes can be made up for any reason.

Exams

There will be 3 major one-hour exams during the semester (week 5, 10, and 15). Make-up exams will not be allowed unless the instructor is notified in advance and a valid written excuse is provided and explained to the academic dean. Any indication that a student did not act swiftly to explain a missed exam, will disqualify him/her from receiving a make-up.

Technology

Each student is expected to bring his/her own calculator to each class. All calculators are allowed in class. No calculators (TI-89 or above) with the ability to symbolic differentiation and integration can be used during tests and quizzes.
Each student will be required to access the internet to use both the course's eCollege website and to read and send e-mail.
Students will be required to use Matlab to complete a number of homework assignments

Academic Integrity

Students are expected to behave in a manner that maintains the honesty and integrity of the classroom. Consequently, students should not attempt to gain an advantage by lying to the instructor. Students must refrain from all attempts to benefit unfairly from another student's work. While students are encouraged to discuss homework problems and course material together, they must share only ideas. The following examples illustrate what constitutes academic dishonesty:

Involvement in fabricating an excuse to obtain a new or late exam.
Buying another student's assignment and handing it in as your own work. (Both students are considered responsible)
Using another student's computer file to hand in as your own work, EVEN IF IT IS PERSONALIZED AFTER IT IS ORIGINALLY COPIED.
Copying the answers to any problem from another student on an exam or quiz.
"Cooperating" in the solution of an assignment that results in two or more students generating multiple copies of (essentially) a single document attributed to the entire "team."

There will be NO FURTHER WARNINGS regarding this issue. Students who do not follow these guidelines may incur a severe penalty that may include: no credit on a particular assignment, failing the course, and dismissal from DeVry (at the discretion of the appropriate deans). While the reasons for this policy appear obvious, I would be happy to discuss/clarify this issue with any concerned student BEFORE an actual problem arises.

School Policies

All school policies will be followed in the class:

School attendance policy will be followed.
Students are responsible for all work missed due to absences and tardiness.
No food or beverages are allowed in the classroom.
All cellular phones and beepers must have their ringers turned off during all classes.
Students are expected to be in class on time. Also, students are expected to remain for the duration of the class unless they have given the instructor notice at the beginning of class. Students who wish to be disruptive will be asked to leave and counted absent.

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Grading

Quizzes & Matlab Assignments	25 pts
Exam 1	25 pts
Exam 2	25 pts
Exam 3	25 pts
Total	100 pts

The final grade will be determined as follows:

90 and above	A
80-89 pts.	B
70-79 pts.	C
60-69 pts.	D
Below 60 pts.	F

Keys To Success

Attend class regularly
Work diligently on each assignment. This will allow you to recognize what topics you have already mastered, and which ones still require more practice.
Seek help from your instructor at the FIRST sign of trouble.
If you have problems with homework assignments send an email message to me (dchelst@devry.edu) briefly describing the problem and I will respond with hints about the assignments. I read my email several times a day.
Make Friends!!! - This cannot be overstated.

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A Philosophy of General Education for DeVry

As an institution of higher education, DeVry integrates strong general education with a basic emphasis on specialty studies. Students acquire essential skills and concepts from each of the general education course areas – communications, humanities, social sciences, and natural sciences-mathematics. Through exposure to representative content of these areas, students gain knowledge that they use to create their own perspectives on the human experience. A strong general education also helps students to achieve their own integration of general and specialty learning to support continuing personal and professional development, and to strengthen contributions to family, community, society, and their future.

To ensure that students benefit from both a strong general education and strong emphasis on specialty studies, DeVry’s general education is oriented toward the challenges and issues of the contemporary world. General education courses teach the fundamental principles and skills of their fields but freely use applications drawn from students’ technical and career-related interests. Specialty courses, in turn, reinforce general education competencies through assignments requiring applied research, teamwork, written and oral communication, and consideration of ethics. This well-rounded education prepares DeVry graduates to live full and satisfying lives, at work and at home, and to participate meaningfully as citizens in a diverse and dynamic society.

General education competencies expected from a DeVry education include the following:

Communicate clearly with particular audiences for particular purposes.
Work collaboratively to help achieve individual and group goals.
Apply critical thinking skills in learning, conducting applied research, and defining and solving problems.
Develop tolerance of ambiguity and mature judgment in exploring intellectual issues.
Build on intellectual curiosity with fundamental concepts and methods of inquiry from the sciences, social sciences, and humanities to support life-long learning.
Apply mathematical principles and concepts to problem solving and logical reasoning.
Use study and direct experience of the humanities and social sciences to develop a clear perspective on the breadth and diversity, as well as the commonality, of human experience.
Connect general education to the ethical dimensions of issues and to responsible, thoughtful citizenship in a democratic society.

To help achieve general education goals, faculty and administrators throughout DeVry use the following strategies and approaches.

Incorporate meaningful writing and oral presentation assignments across the curriculum, including applied research as part of the assignments and leading to evaluative feedback by instructors in both general education and program-specific courses.
Implement a capstone general education course (Technology, Society, and Culture [HUMN-432]) that integrates general education and specialty learning and requires a high level of critical thinking applied to the broader aspects of technology.
Use collaborative approaches, such as project teams, to strengthen learning, provide direct experience, and build on diversity of backgrounds and viewpoints.
Offer co-curricular activities – such as service learning, artistic and cultural presentations, speakers, and student publications – to reinforce general education competencies addressed in courses.
Provide a coherent structure and organization of general education across all programs consisting of well-designed combinations of courses that are sequenced properly, adjusted to various levels of learning, coordinated with each other, and that interact synergistically with the majors without being directly related to specialty learning or career preparation. A common configuration of general education courses is shown in the following chart of course requirements across baccalaureate programs, with some programs including additional requirements above the common levels.

General Education Semester Credits Required

GenEd Area	Common Core	EET/CET	CIS	BTCM	BSBA
Communications	15	15	15	15	15
Humanities	9	9	9 (or 12)*	12 (9+3)	12 (9+3)
Social Sciences	9	9	12 (or 9)*	12 (9+3)	12 (9+3)
Science + Math	12	26 (12+14)	12	12	12
Personal/Professional Development	3	3	3	3	3
	48	62	51	54	54

*CIS requirements allow either 9 semester credits of humanities and 12 semester credits of social sciences or 12 credits of humanities and 9 credits of social sciences.