I. Course Description

Topics include transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite series, parametric equations and polar coordinates.

II. Assignments

You will receive an assignment sheet with exercises to do from the Stewart text. If you want an extra copy, you can access one through my web page, or from the math department. Each section also has assigned problems in iLrn, the Internet course management system that correlates with your text. Internet problems will be graded.

III. Study Requirements

A hybrid class combines the best features of distance-learning and face-to face courses. In Calculus II students will use a course management system called iLrn. The iLrn system has video lessons, worked out solutions for problems in the text, quizzes, homework problems and email capabilities allowing communication between the instructor and the students in the course.

The class will meet once a week to discuss concepts and go over problems. Additional meeting times can be arranged and a computer lab will be reserved for students who want their time structured.

This is a 4-credit course. Be sure to allot sufficient time for this course. Study time should be spent:

a) Reading the text and watching the video for each section through ILrn. These are accessed with the CD that comes with your text. Keep your text open and take notes as you watch. You can stop and start these videos, replay a segment or fast-forward through the part you already know. E-mail me with concepts or problems that you do not understand

b)Doing assigned problems. The best way to learn mathematics is to do problems. Practice of homework assignments cannot be overemphasized. Suggestion - put an * next to problems which give you trouble and ask about them through email. The problems available through iLrn will be automatically graded. Be sure to do the practice tests before you take the actual test.

IV. Required Course Content and Direction:

A. Learning Goals: The student will be able to:

1. Differentiate and integrate transcendental functions.

2. Apply methods of integration such as algebraic substitution, trigonometric substitution, partial fractions, and integration by parts.

3. Solve limit problems involving indeterminate forms by use of L’Hôpital’s rule.

4. Evaluate improper integrals.

5. Determine Convergence or Divergence of Positive Term Series using the Ratio test, Comparison test, Limit Comparison test, Limit Comparison test or Integral test.

6. Determine the convergence absolute convergence or divergence of alternating series.

7. Determine the interval of convergence of power series.

8. Express a function as a series using Maclaurin or Taylor series.

9. Convert parametric representation of curves to rectangular coordinates.

10. Represent a curve using polar coordinates.

11. Integrate functions expressed in polar coordinates.

B. Planned Sequence of Topics and/or Learning Activities:

                1. Differentiation and Integration of Transcendental Functions

                    a. Logarithmic Functions

                    b. Exponential Functions

                    c. Trigonometric Functions

                    d. Inverse Trigonometric Functions

                    e. Hyperbolic Functions

2. Methods of Integration

a. Integration by Parts

b. Trigonometric Integrals

c. Trigonometric Substitution

d. Partial Fractions

e. Integral Tables

f. Improper Integrals

3. Infinite Series

a. Sequences

b. Convergence

c. Integral Test and p- series

d. Comparison Tests

e. Ratio Test

f. Root Test

g. Power Series

h. Taylor and Maclaurin Series

4. Polar and Parametric Equations

a. Plane Curves

b. Parametric Equations

c. Polar Coordinates

d. Arc Length and Area

IV. Withdrawal

If you should find it necessary to withdraw, College Policy states that: "Withdrawal during the first 10 weeks carries a W grade. "Check the withdrawal date on the college calendar.

If you do not take the tests and do not withdraw you will receive an F.

 

V. Extra Help If you find you are having difficulty extra help is always available.

My office hours are posted on my door - Founders 121.

If you cannot be available during scheduled hours we can schedule a time that is mutually convenient.

Tutoring help is available, free of charge, in the Learning Center. (L121)

Supplementary study materials are available in iLrn.

Do not wait to get extra help. Contact me by phone or by email the first sign of difficulty.

VII. Prerequisite

You must have taken MATH140 with a grade of C or better or the equivalent at another school. This hybrid class combines in-class instruction with computer instruction. You should be a self-motivated student who can work on your own.

VIII. Grading Procedures

Students will have online homework assignments in addition to text assignments. The online assignments will be graded and count for 5% of a student’s course grade. These assignments can be taken as many times as it takes for a student to learn the concept. The highest grade will be counted.

There will be nine online quizzes. Each quiz can be taken twice with the higher grade counting. Each quiz will be 5% of a student grade.

There will also be four multi-section tests. The tests will be taken at the testing center and they will be paper and pencil.

There will be a final exam that will be optional for students who have a B average or better. The lowest grade of all tests and final will be dropped. The four grades will each be 12.5% of the course grade.

Quiz Grade Average (homework will count as 1 quiz) = 50% of course grade

Each of four tests = 12.5% of course grade* see requirement for final exam.

b) . The following scale will be used for tests and the course grade:

A 90-100 B+ 87-89 B 80-86 C+ 77-79

C 70-76 D+ 77-79 D 60-66 F 0-59

There is a great deal of flexibility with hybrid  learning, but it requires self- motivation on the part of the student. Tests can be scheduled at times that are convenient to you, day or evening.

Please read the statement on cheating and plagiarism from the current college catalog. College policies will be strongly enforced.

It is the responsibility of the student to save all materials. Read the college catalog for College policies.

IX. Course Materials

Textbook: Single Variable Calculus 5e by James Stewart. Online Access to iLrn (code comes free with text) and a graphing calculator (TI-83 or TI-84). A CD with video lessons also comes packaged free with your text.

Click to access Mrs. Farber's email mailto:farberb@bucks.edu