MATH 6B: Calculus II

Instructor:Tom Greenwood

Office:MS 102

Office Hours:M 1:30 – 2:30, TW 1:30 – 3, TH 2 – 3 or by appointment.

Phone:395-4229

E-Mail:

Website:

Prerequisites:A grade of “C” or better in Math 6A or equivalent placement

Textbook: Calculus for Scientists and Engineers by Briggs, Cochran, and Gillett –

1st edition

Course Content:Chapter 7Logarithmic and Exponential Functions (4 weeks)

Chapter 8Integration Techniques (3 weeks)

Chapter 10Sequences and Infinite Series (3 weeks)

Chapter 11Power Series (3 weeks)

Chapter 12Parametric and Polar Curves (2 weeks)

Grading:Homework10%

Quizzes20%

Exams50%

Final Exam20%

Total100%

Grades will closely follow this trend.

Percent Grade

90-100 A

80-89 B

70-79 C

60-69 D

Below 60 F

The overall grade is based on a percentage, not on points.

Homework:Homework will be assigned on My Math Lab at mymathlab.com You will need an access code which can obtained in one of two ways:

  • Buying the textbook with the My Math Lab code
  • Buy the access code through mymathlab.com

If you purchase the access code online, you need not purchase the book because there is an electronic copy of the textbook on the My Math Lab website. You will need the course ID for this class. The course ID for this class is greenwood2557

Quizzes:Quizzes are based on the homework problems. Quizzes will be given every week on Thursday and based on the material through the previous Tuesday.

Exams:There will be an exam after every chapter. Exams will be on Thursdays

Final Exam:This is a cumulative final.

The final is on Wednesday, May 14 from 10 to 11:50 am.

Attendance:If you miss more than 8 classes, you will automatically be dropped from the class. I need not warn you when you are close to this point. It is ultimately the student’s responsibility to drop the class. Students cannot leave class early unless they have the professor’s permission prior to the start of class.

Makeups:There will be no makeup exams allowed. If you know that you are going to miss the exam in advance, please talk with me about making arrangements.

Calculators:The TI – 83/84 graphing calculator is acceptable for this course. The TI – 89 or any calculator that has a computer algebra system cannot be used on any quiz or exam.

Cheating:There will be a zero tolerance policy on cheating. A first offense will receive a zero on that assignment/quiz/exam and possible mention on their permanent record. A second offense will receive more drastic measures with a possibility of being removed from the course. Calculators (scientific or graphing) are subject to being reviewed by the professor before, during, and after an examination. This is due to previous encounters in past semesters.

Classroom Etiquette:

It is expected that you devote your full attention to the class. Some examples of bad etiquette are (but not limited to):

  • Text messaging
  • Reading newspapers, magazine, or other material not related to the class
  • Talking
  • Sleeping
  • Studying for another class

Talking:There is absolutely no talking aloud while the professor is conducting lecture. This is a distraction to not just the professor, but fellow students as well. Please have consideration for the students around you. Failure to do so will result in being asked to leave the class.

Sleeping:Sleeping is not permitted in class. If you cannot stay awake in class……go home and get some rest.

Cell Phones:Cell phones need to be either turned off for the duration of class. It is unacceptable to answer the phone either in class or to leave class to take a phone call. Any use of the cell phone in class will result in you being asked to leave the class. No exceptions.

Texting:Texting in class is prohibited. This is the equivalent to talking in class. If you caught texting during class, you can be asked to leave the class.

Electronic Devices:Electronic devices (i.e. iPod, cell phone, etc.) should be turned off and put away before the beginning of class.Any electronic device being used in class can also result in you being asked to leave the class.

Important Dates:Last day to drop without a “W” is February 3, 2014

Last day to drop with a “W” is March 28, 2014

Accommodations: Students with disabilities who believe they may need accommodations in this class are encouraged to contact Supportive Services on the first floor of the counseling building, 395-4334, as soon as possible to better ensure such accommodations are implemented in a timely manner.

FERPA:The Family Education Rights and Privacy Act (FERPA) is a federal law that prohibits the instructor from sharing student information (grades, class progress, etc..) with anybody except the student. This means that I cannot share your information with family members (parents, siblings, spouses, etc…).

Tutoring:Drop in tutoring is available in the MathLearningCenter (Second floor of the StudentServicesBuilding). Tutoring by appointment is also available on the top floor of Student Services building. There are also MESA tutors located in MS – 19.

Notes:This is known as the most difficult of the three Calculus courses. To be successful in this course, you need to make sure to stay on top of material and the homework. Please feel free to ask for my help or one of the tutors.

Math 6B, Calculus II

Student Learning Outcomes

  1. Calculate derivatives of exponential and logarithmic functions, inverse trigonometric functions, hyperbolic functions, and inverse hyperbolic functions. Identify when to use logarithmic differentiation. Solve problems involving exponential and logarithmic functions.
  1. Integrate exponential and logarithmic functions, and hyperbolic functions. Identify integrands that are derivatives of inverse trigonometric functions or inverse hyperbolic functions. Determine when to use u-substitution or complete the square.
  1. Determine an appropriate method of integration and apply that method. Choose partial fractions (may first require long division), integration by parts, trigonometric substitution (use a triangle or an identity) or a combination of methods.
  1. Use integration to find arc length and surface area.
  1. Evaluate limits of indeterminate form by using L’Hopital’s Rule. Evaluate improper integrals.
  1. Know properties of sequences. Recognize monotonic sequences and know when they converge. Test whether a sequence converges or diverges by using a limit or the Sandwich Theorem.
  1. Be familiar with geometric series, telescoping series, and p-series. Test whether a series converges (absolutely or conditionally) or diverges. Be able to apply the nth-term test for divergence, the integral test, the direct comparison test, the limit comparison test, the ratio test, and the nth-root test. Determine radius and interval of convergence.
  1. Estimate the error in truncating a series.
  1. Build the Taylor series, Taylor polynomial of order n, or McClaurin series of a function. Know the form of the binomial series.
  1. Translate rectangular coordinates to polar coordinates and polar to rectangular. Graph, calculate slope, area, or shared area of polar curves.
  1. Be able to parameterize an equation. Be able to graph, differentiate, and integrate parametric equations.