Math 250 – Calculus I



Math 251 – Calculus II

Syllabus for section 001 – Fall, 2017

Instructor: Jennifer Strehler

Office: DP 2162

Phone: (847) 635-1974

E-mail: strehler@oakton.edu

Website:

Textbook: Briggs’ Calculus (Early Transcendentals), 2nd ed.

MyLabsPlus is required for this section.

Calculator: A graphing calculator is strongly recommended (TI 83 suggested). Calculators with QUERTY

keyboards may not be used on quizzes or exams (TI-Nspire, TI 89, etc)

Office Hours

Monday: 11:00 – 2:00

Tuesday: 10:00 – 11:30

Thursday: 10:00 – 11:30

Prerequisites

MAT 250 with a grade of C or better. It is presumed that you recall the material from Calculus I, as there is minimal 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; sequences and series; power series representations; parametric and polar coordinates; techniques of integration and improper integrals. 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 to meet the following objectives:

1. Use integration in applications

2. Apply more advanced integration techniques.

3. Analyze sequences and infinite series.

4. Analyze and use power series representations.

5. Solve parametric and polar equations.

6. Use technology to evaluate integrals, series, and to solve polar and parametric equations.

Academic Integrity and Student Conduct

Students and employees 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,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else 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 a fair hearing if a complaint is made against you. 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.

Please review the Code of Academic Conduct and the Code of Student Conduct, both located online at oakton.edu/studentlife/student-handbook.pdf.

Course Expectations

• Your regular attendance is expected and will be important to your success in this class. As such, an attendance sheet will circulate each class meeting. It is your responsibility to make sure that you sign the attendance sheet each session. Coming to class late (or leaving early) is a distraction. If it is necessary for you to leave early - or if you arrive late, you will be considered to have been absent for half of the class. Absences due to illness (with a timely doctor’s note) or legal matters (with documentation) will excused. Unexcused absences will affect your grade as follows:

Number of unexcused absences Change in your course average

0. + 1.0 %

1. – 0.0 %

2. – 0.5 %

3. – 1.0 %

4. – 1.5 %

5. – 2.0 %

etc. etc.

If it is necessary for you to miss class, you are still responsible for the material missed. You may find it beneficial to exchange phone numbers with a 'study buddy'. Office hours will not be used to replace regular class attendance.

• Every student is expected to participate in class during group work and lecture.

• Come prepared for class. This includes:

o Study the appropriate section(s) in the textbook.

o Review the lecture notes. It is highly recommended that you review each lecture on the day it was presented.

o Do all assigned homework.

o Prepare for the next class by reading section(s) to be covered at the next class session.

• Ask for help when you need it. If you don't feel comfortable asking questions in class, please ask them via e-mail or during office hours. The tutoring center (room 2400 DP) is another excellent resource for answers.

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

• Students are expected to maintain a classroom environment that allows learning for all students. If you would rather sleep, read extraneous material, do homework in class or hold side conversations, you will be asked to utilize one of your absences.

• When sending e-mail, make sure you put MAT 251 in the subject line of your e-mail. Please use complete sentences and avoid textspeak.

Assignments, Quizzes and Exams

• Homework will be done and submitted online using MyLabsPlus. If you encounter difficulties, go to the tutoring center or come visit me during my office hours.

o Homework will be due 5 minutes before class begins on Thursdays.

o Because of the need to stay current with the material, I can not accept late assignments, but will drop the lowest homework assignment if you have missed no more than 2 classes.

• There will be approximately 12 quizzes and they may or may not be announced in advance. Quizzes cannot be made up, but the lowest score will be dropped if you have missed no more than two classes. If it is necessary for you to miss an assignment, a zero will be assigned.

• There will be three hourly exams and a comprehensive final exam. The dates of these exams are listed below. As a rule, make-up exams are not put in the testing center. The instructor will only put one make-up exam per student in the testing center per semester and the exam will only be placed in the testing center by the instructor per student request and only on the condition that a serious, unavoidable reason is provided in writing as to why the student is/was not able to take the exam at the arranged time in class. It is generally the case that makeup exams are more difficult than the exam given during the usual meeting time. All make-up exams MUST be taken BEFORE the exam is reviewed the next period. If it is necessary for you to miss an exam for unexpected reasons, it is YOUR responsibility to contact me BEFORE the start of class at (847) 635-1974.

Grading

Exam 1 09/21/17 18%

Exam 2 10/26/17 18%

Exam 3 11/30/17 18%

Homework Average 10%

Quiz Average 15%

Final Exam 12/12/17 21%

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:

|August 21 |Fall 2017 semester classes begin. |

|August 28 |Last day to submit proof of residency, business service agreements and chargebacks/joint agreements |

|September 4 |Labor Day holiday, College closed |

|September 18 |Last day to drop from 16-week courses and have course dropped from record |

| | |

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

|September 22 |Last day for filing Graduation Petitions |

|October 1 |Incomplete (I) grades from Summer 2017 semester for which faculty have not submitted final grades will |

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

|October 23 |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 October 23 |

| | |

|November 11 |Veterans Day holiday. College closed. |

|November 15 |Registration opens for Spring 2017 semester |

| | |

|November 23, 24 |Thanksgiving Recess. College closed. |

|November 25, 26 |Thanksgiving Recess. No Classes. College open. |

|December 12, 13 |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 Access and Disability Resource Center at the Des Plaines or Skokie campus.  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.

• Oakton Community College is committed to maintaining a campus environment emphasizing the dignity and worth of all members of the community, and complies with all federal and state Title IX requirements.

Resources and support for

• pregnancy-related and parenting accommodations; and

• victims of sexual misconduct

can be found at oakton.edu/title9.

Resources and support for LGBTQ+ students can be found at oakton.edu/lgbtq.

Outline of Topics

1) Recommended Review

a. Apply L’Hopital’s Rule and methods of differentiation.

b. Use basic integration and u-substitution to find the area between curves.

2) Use integration in applications.

a. Compute the area of a region bounded by two or more curves.

b. Calculate the volume of a solid using the general slicing method and the volume of solid of revolution using disks and washers.

c. Calculate the volume of a solid of revolution using the shell method.

d. Calculate the arc length of a function.

e. Calculate the area of a surface of revolution.

f. Apply the slice and sum strategy in applications such as finding the mass of a straight rod with variable density, work done in the presence of a variable force and the force exerted by a fluid on a dam.

g. Apply the properties of logarithms and exponentials in differentiation and integration.

h. Use exponential functions in mathematical modeling.

i. Analyze hyperbolic functions, their derivatives, anti-derivatives, inverses and other identities.

3) Apply more advanced integration techniques.

a. Review standard techniques in evaluating integrals.

b. Evaluate definite and indefinite integrals using integration by parts.

c. Integrate powers and products of trigonometric functions.

d. Use the technique of trigonometric substitution.

e. Integrate rational functions using the method of partial fractions.

f. Use integration tables or CAS systems to evaluate integrals.

g. Use the Midpoint Rule, Trapezoidal Rule and Simpson’s Rule to approximate values of definite integrals.

h. Evaluate improper integrals, including those over discontinuities.

i. Solve basic differential equations.

j. Use technology to evaluate integrals.

4) Analyze sequences and infinite series.

a. Define and classify sequences and series.

b. Determine the behavior of sequences.

c. Evaluate geometric and telescopic series or determine that the series diverges.

d. Apply the divergence and integral tests.

e. Apply the ratio, root and comparison tests.

f. Apply the alternating series test, to determine a bound for the remainder in an alternating series and to determine whether a series diverges, converges absolutely or converges conditionally.

g. Use technology to analyze sequences and series.

5) Analyze and use power series representations.

a. Approximate functions with polynomials.

b. Calculate the radius and interval of convergence of a power series.

c. Analyze the power series representations of functions.

d. Apply several uses of Taylor series.

6) Solve parametric and polar equations.

a. Solve parametric equations.

b. Define polar coordinates and to analyze polar curves.

c. Compute slopes of lines tangent to polar curves and areas of regions bounded by polar curves.

d. Analyze conic section curves using polar coordinates.

e. Use technology to graph and solve polar and parametric equations.

Math 251 – Fall, 2017

Computing your grade

Score on Exam 1 ___________________ x 0.18 = _____________

Score on Exam 2 ___________________ x 0.18 = _____________

Score on Exam 3 ___________________ x 0.18 = _____________

Homework Average ___________________ x 0.10 = _____________

(after dropping lowest – if applicable)

Quiz Average ___________________ x 0.15 = _____________

(after dropping lowest – if applicable)

Score on Final Exam ___________________ x 0.21 = _____________

Total _____________

|Homework Scores |Quiz Scores: |

|HW 1 __________________ |Quiz 1 __________________ |

| | |

|HW 2 __________________ |Quiz 2 __________________ |

| | |

|HW 3 __________________ |Quiz 3 __________________ |

| | |

|HW 4 __________________ |Quiz 4 __________________ |

| | |

|HW 5 __________________ |Quiz 5 __________________ |

| | |

|HW 6 __________________ |Quiz 6 __________________ |

| | |

|HW 7 __________________ |Quiz 7 __________________ |

| | |

|HW 8 __________________ |Quiz 8 __________________ |

| | |

|HW 9 __________________ |Quiz 9 __________________ |

| | |

|HW 10 __________________ |Quiz 10 __________________ |

| | |

|HW 11 __________________ |Quiz 11 __________________ |

| | |

|HW 12 __________________ |Quiz 12 __________________ |

| | |

|HW 13 __________________ | |

| |Average __________________ |

|HW 14 __________________ |(be sure to drop your lowest quiz, |

| |if appropriate) |

|HW 15 __________________ | |

| | |

|Average _________________ | |

|(be sure to drop your lowest grade, | |

|if appropriate) | |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download