Math 250 – Calculus I



Math 251 – Calculus II

Syllabus for section 0C1 – Spring, 2014

Instructor: Jennifer Strehler

Office: DP 2741

Phone: (847) 376-7071

E-mail: strehler@oakton.edu

Website:

Textbook: Briggs’ Calculus (Early Transcendentals), 1st ed.

MyLabsPlus is required for this section.

Calculator: A graphing calculator is strongly recommended (TI 83 suggested)

Office Hours

Since this is an online class, most of our communication will be online. If you have a question about a specific problem in the homework, please use the "ask my instructor" link in the homework software (I get a copy of the problem you're working on this way!)

I will also be on the Des Plaines campus: 2741 - or by phone: (847)376-7071 during the following times:

Monday: 12:15 – 2:05

Tuesday: 7:00 – 7:55

Thursday: 7:00 – 7:55, 12:15 – 2:05

Other times available by appointment.

Prerequisites

MAT 250 with a grade of C or better. It is presumed that you recall the material from Calculus I, as there is no time to review in this course.

Course (catalog) Description

Course is second in calculus and analytic geometry. Content focuses on differentiation and integration of transcendental functions such as inverse trigonometric functions; hyperbolic functions and inverse hyperbolic functions; applications of the definite integral; polar coordinates; techniques of integration and improper integral; vectors operations and vectors functions. Calculators/computers used when appropriate.

Learning Objectives

It is presumed that students will spend a minimum of 10 hours a week for each hour in class in order to meet the following objectives:

|A. Evaluate definite integrals by using substitution, integration by parts, and tables. |

|B. Evaluate improper integrals. |

|C. Use integrals to find area, volume and arc length; application to physics and engineering. |

|D. Evaluating differential equations by Euler's method and the separation of variables. |

|E. Evaluating infinite sequences and series. |

|F. Use convergence tests and estimating series. |

|G. Use power series and representing functions by power series. |

|H. Use Taylor and Maclaurin series. |

|I. Understand two dimentional vector functions and their applications. |

|J. Understand polar equations and their application to differentiation and integration. |

|H. Use technology for evaluating integrals, series, and polar and parametric equations. |

Academic Integrity

Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

cheating,

plagiarism (turning in work not written by you or lacking proper citation),

falsification and fabrication (lying or distorting the truth),

helping others to cheat,

making unauthorized changes in official documents,

pretending to be someone else or having someone else to pretend to be you,

making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

Course Expectations

• I expect that you will log into MyLabsPlus and work regularly (at least two times each week) toward the successful completion of this course.

• I expect that your schedule will allow you to complete all assignments and take the exams /quizzes when they are scheduled. All exams, quizzes and assignments have firm due dates and requests for extensions will NOT be granted. The exams will be available in the testing center the week prior to the exam due date. Quizzes and homework can be completed early.

• Academic integrity. All work is expected to be your own.

• Ask for help when you need it. The tutoring centers (room 2400 DP in Des Plaines and A135 in Skokie), and my office hours are excellent resources for help. The tutoring centers are available Monday – Thursday from 8am – 8pm, Friday from 8am - 4pm & Saturday 10am – 2pm.

• A calculator is required for the exams. Even though you are allowed to use a calculator on the exam, it is best to practice solving problems in the method described in the text.

Communication

• I will send several e-mails to the entire class during the course of the semester. It is your responsibility to ensure that the e-mail address on file with the registrar is the address to which you wish to receive course communication.

• Please use e-mail as your primary means of communication. I will read and respond to e-mail at least once a day during the week. The time I check my e-mail is likely to be irregular. If you send me a message at 8:30 am & I checked my e-mail at 7:30 that morning, I may not get your message until whenever I check e-mail the next day. It is not guaranteed that I will check e-mail on weekends.

• I am teaching more than one course this term. Make sure you put MAT 251 in the subject line of your e-mail so that I know which class you are in (and that your e-mail is not spam!)

• Please use complete sentences and avoid textspeak in your e-mail.

Assignments, Quizzes and Exams

All homework, quizzes and exams have firm dates. Extensions will NOT be granted.

We will be covering sections 5.5 – 10.4. I’d like to have 3 exams (as I do in my face-to-face sections of this course), but having three exams means that the material does not divide “nicely” into chapters for each exam. The first exam will cover 5.5 – 7.1, the second exam covers 7.2 – 8.3 and the third exam covers sections 8.4 – 10.4 (roughly 10 sections per exam).

|Date Due | |

|01/24/14 |Getting to know you assignment due (in quizzes) |

|02/03/14 |Sections 5.5 – 6.4 & quiz 1 due |

|02/20/14 |Sections 6.5 – 7.1 & quiz 2 due |

|02/15/14 – 02/22/14 |Exam 1 (sections 5.5 – 7.1) available |

|03/08/14 |Sections 7.2 – 7.6 & quiz 3 due |

|03/27/14 |Sections 7.7 – 8.3 & quiz 4 due |

|03/22/14 – 03/29/14 |Exam 2 (sections 7.2 – 8.3) available |

|04/17/14 |Sections 8.4 – 9.4 & quiz 5 due |

|05/01/14 |Sections 10.1 – 10.4 & quiz 6 due |

|04/26/14 – 05/03/14 |Exam 3 (sections 8.4 – 10.4) available |

|05/06/14 – 05/13/14 |Final exam (chapters 6 - 10) available |

• Homework will be done through MyLabsPlus. Homework must be completed according to the schedule above.

• There will be six quizzes, which will be administered through MyLabsPlus. Quizzes must be completed according to the schedule above. In order to take a quiz, you must have completed all homework for that quiz with a score of at least 70% on each section. If you do not have at least a 70% on each assignment, you will not be able to take that quiz.

• There will be four exams that will be administered at the testing center located on the Des Plaines campus of Oakton Community College.

o The hours of our testing center are:

Mon – Thurs:  8:00 – 8:00

Friday:   8:00 – 4:00

Saturday: 10:00 – 2:00

o If you need to take the exam at the Skokie campus, it is your responsibility to inform me no later than February 7th. If you are not able to take the exams at one of our campuses, please contact Robin Nash at rnash@oakton.edu in order to make alternative arrangements as soon as possible. Arrangements must be made with the facility that will proctor your exam no later than February 7.

o You will be given 2 hours to complete each of the first three exams. If you arrive within 2 hours of the close of the testing center, you will only be allowed to work on the exam until the testing center closes and no additional time will be given for the exam. You will have 3 hours for the comprehensive final and should arrive at the testing center at a time that will allow you to complete the exam. The dates that these exams are available are listed below.

Grading

Exam 1 Available 02/15/14 – 02/22/14 14%

Exam 2 Available 03/22/14 – 03/29/14 14%

Exam 3 Available 04/26/14 – 05/03/14 14%

Homework Average 20%

Quiz Average 20%

Final Exam Available 05/06/14 – 05/13/14 18%

Course grades will be determined as follows:

90% - 100% A

80% - 89% B

70% - 79% C

60% - 69% D

Less than 60% F

A grade if "I" (Incomplete) must be formally requested of the instructor by the student and may be granted only if the student has missed no more than one test for the entire term and the student’s average is at least 70. The decision to grant the "I" grade will be made by the instructor alone. No incomplete grades will be given without documented evidence of serious illness or circumstances.

Other Course Information

• Important Dates:

|January 21 |Spring 2014 semester classes begin |

|January 27 |Last day to submit proof of residency, business service agreements and chargebacks/joint agreements |

|February 16 |Last day to drop from 16-week courses and have course dropped from record |

|February 17 |President’s Day holiday, College closed |

| | |

|February 18 |Last day to change to audit for 16-week courses |

|March 2 |Incomplete (I) grades from Fall, 2013 semester for which faculty have not submitted final grades will |

| |become an "F" after this date. |

|March 14 |Last day for filing Graduation Petitions |

|March 17 – 23 |Spring Break |

| | |

|March 24 |Classes resume after Spring Break |

|March 26 |Registration opens for Summer 2014 semester |

| | |

|March 30 |Last day to withdraw with a “W” from 16-week courses. Students will receive a grade in all courses in |

| |which they are enrolled after March 30 |

|April 9 |Registration opens for Fall 2014 semester |

|May 15, 16 |Evaluation Days |

| | |

|  | |

• If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Outline of Topics

|A. Techniques of Integration |

|1. Integration by parts |

|2. Integration by substitution |

|a) Partial fractions |

|b) Trigonometric substitutions |

|3. Integration using tables |

|B. Improper Integrals |

|1. L'Hopital's rule |

|2. Infinite limits of integration |

|3. Integration over discontinuities |

|C. Applications of the Definite Integral |

|1. Volumes using the cross-sectional area |

|2. Volumes of solids of revolution |

|3. Arc length |

|4. Work, hydrostatic pressure and force, moments, and center of mass |

|D. Modeling and Differential Equations |

|1. Exponential growth and decay |

|2. Separable differential equations |

|3. Logistic models |

|E. Infinite sequences and series |

|1. Sequences and series |

|2. Geometric series |

|3. Tests for positive terms (integral, comparison, ratio, nth root) |

|4. Alternating series |

|5. Absolute and conditional convergence |

|6. Power series |

|7. Taylor and Maclaurin series |

|8. Applications including binomial series and solution to differential equations |

|F. Polar coordinates |

|1. Graphing with polar coordinates |

|2. Integration and differentiation using polar coordinates |

|3. Applications including area and arclength and surface area |

|G. Vectors and vector functions |

|1. Two-dimentional vectors and dot products |

|2. Vector-valued functions |

|3. Projectile motion |

|H. Recommended Technology |

|1. Use of technology to evaluate integrals |

|2. Use of technology to investigate improper integrals |

|3. Use Euler's method and technology to evaluate differential equations |

|4. Use technology for graphing, integrating, and differentiating parametric and polar equations |

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