math-253-spring17

Math 253: Calculus III

2017 Spring

Updates: HW8, Answer to HW4 and HW5 posted under the homework section. 06/03/2017.

Instructor Qingyun Wang (first name pronunciation: ching-win)

Email: qingyunw@uoregon.edu

Office phone: (541) 346-0983

Office: 1B Deady Hall

Office hours: Tuesday 4-5pm and Wednesday 3-5pm, or by appointment.

Class Number 33521.

Text Calculus, Concepts and Contexts, 4th edition, Stewart.

We will cover Chapter 8 together with power series solutions to differential equations. You can probably use a different book, possibly much cheaper. All homework will be handouts, so nothing will be assigned by problem number in the book. You may be able to use an earlier edition of the book, or maybe even a book by a different author, as long as you use a book intended for scientists and engineers (texts on calculus for business and social science students will not do) and can match the material in the course to the appropriate sections in the book.

Class Meeting MTWR 5:00-5:50pm, 301 Deady Hall.

Prerequisite MATH 252.

Workload: An average well-prepared student should expect to spend about 12 hours per week on this class, but there will be a lot of variation depending on background and ability.

Calculators Graphing calculators are allowed.

Grading

There are two methods to calculate your final grade. Whichever gives you higher score will be your actual final grade.

For example, if you scores are:

written homework 90/100 points; midterm 1 70/100 points; midterm 2 90/100 points; final exam 77/100 points.

Then method 1 gives you 90*0.2+70*0.2+90*0.2+77*0.4=80.8;

method 2 gives you 90*0.2+70*0.15+90*0.25+77*0.4=83.

So your final grade will be 83. I will do round up if your score is not an integer.

The second method is intended to award those who catch up later on.

At the end all percentage grade will be converted into lettered grade. I use the following convention:

97% to 100%= A+

93% to 96% = A

90% to 92% = A-

87% to 89% = B+

83% to 86% = B

80% to 82% = B-

77% to 79% = C+

73% to 76% = C

70% to 72% = C-

67% to 70% = D+

63% to 66% = D

60% to 62% = D-

59 or below = F

Exam

  • Midterm 1: Week 4 in class. 5:00pm-5:50pm, Thursday, April 27.

Midterm 1 Practice Exam is available here.

Midterm 1 is available here.

Midterm 1 Solution is available here.

  • Midterm 2: Weak 8 in class. 5:00pm-5:50pm Thursday, May 25.

Midterm 2 Practice Exam is available here.

Solutions to Midterm 2 Practice Exam is available here.

  • Final Exam: 7:15PM-21:15PM, Monday, June 12. Deady 307. (Note this is NOT the same as the classroom.)

Final Exam Practice is available here.

Final Exam Practice solution is available here.

Exam Policies

All exams are cumulative, although they will usually emphasize the most recent material. All exams will cover material through the most recently turned in homework. No calculators or other electronic devices will be permitted on any exam.

At least 80% of the points on each of Midterms 1 and 2 will be based on homework problems, on problems on separate supplementary lists.

Complaints about the grading of any exam must be submitted in writing by the beginning of the first class period after the class in which that exam is returned.

Approximate Schedule (subject to change)

Homework

There will be written homework every week, except the last week. You are encouraged to discuss homework problems with each other, but you need to submit your own work and make sure you understand it.

Paper assignments (written homework)

Paper assignments will be turned in to me at the beginning of the class period in which they are due. Normally the handouts will be distributed on Monday during class and due the following Tuesday. Some instructions:

  • Staple pages together. Don't fold or tear corners or fold in half.
  • If you cooperate with someone else, that person's name must appear below yours.
  • Simplify all answers.
  • Show your work. Otherwise you will not get credit.

Homework 8 is available here.

Homework 7 is available here.

Homework 6 is available here.

Homework 5 is available here.

Solution to Homework 5 is available here.

Homework 4 is available here.

Solution to Homework 4 is available here.

Homework 3 is available here.

Solution to Homework 3 is available here.

Homework 2 is available here.

Solution to Homework 2 is available here.

Solution to Homework 1 is available here.

Learning Objectives The single largest course goal is:

  • A successful student in this course should be able to use Taylor’s theorem in a reasonably effective way.

Much of the other material covered in this course is necessary for that objective. So subgoals include:

  • Be able to compute the Taylor polynomials, and then use Taylor’s theorem to estimate the error.
  • Use Taylor’s remainder theorem to approximate values of transcendental functions to given levels of accuracy.
  • Show sequences don’t converge by using the definition of limit.
  • Use standard series convergence tests.
  • Estimate sums using the integral test when possible, the alternating series test when possible and the comparison test when possible.
  • Calculate radii of convergence for a power series, calculate Taylor series, represent common transcendental functions as power series.
  • Give power series solutions to appropriate differential equations. Recognize solutions when they are common transcendental functions.

Learning Environment The University of Oregon strives for inclusive learning environments. Students who have a documented disability and anticipate needing accommodations in this course should see me as soon as possible. You are also encouraged to contact the Accessible Education Center in 164 Oregon Hall at 541-346-1155 or uoaec@uoregon.edu.

Academic Conduct The code of student conduct and community standards is at conduct.uoregon.edu. In this course, it is appropriate to help each other on homework as long as the work you are submitting is your own and you understand it. It is not appropriate to help each other on exams, to look at other students exams, or to bring unauthorized material to exams.

Other Useful Information

  • Math Tutoring Lab(at the Teaching and Learning Center), the link is here.
  • Drop-in homework help at the Math library in Fenton hall, the link is here.

Academic Deadlines

(according to the class schedule website here.)