MATHEMATICS 1220-90 Calculus II

Spring 2007

Do not neglect to read the page "Course Information"; there you will be told what the materials for this course is are, how you will be graded, and you will find references to important dates.

The schedule link gives an approximate guide to how you should progress through the textbook, at a one section per regular class period rate. The exam dates on the schedule are just approximate, indicating when the material for that exam should be covered. The actual dates on Thursdays and Saturdays when UOnline does proctoring are listed below. New practice exams with detailed solutions will be posted (i.e., the are links emailed to you through the webwork system) shortly before the exam dates and are the best guide to what you may expect to be covered on the current actual exams. I recommend doing the practice problems before consulting the solutions to get the best idea of what you feel solid on and what you most need to review. We usually receive the completed exams from UOnline in the middle of the week after they are taken, due to out of area exams and campus mail times. After they are graded, your scores will be mailed and solutions posted through the webwork system around the following weekend.

For each topic to be covered, there are also supplementary notes and practice problems with detailed solutions from Prof. Hugo Rossi who originated these courses. It is strongly recommended to do these problems, checking your work against the answers, before going on to the webwork assignments. The practice problem sets loosely correspond to the webwork sets of the same number. There is also a list of suggested problems for each section from the textbook. Answers for odd-numbered textbook problems are in the back of the book, and complete worked solution manuals for all problems are available on reserve in the math library. The purpose of the practice problem sets is to compensate for the classroom experience; these are written so as to reproduce, as well as possible, the act of watching the instructor work through a problem.

The Webwork assignments form the core of this course; Assignments must be completed by 10:59 p.m. on the date shown, usually Tuesdays. Do assignment 0 ("Demo", non-credit) first in order to understand the protocols for submitting answers on Webwork.

Do your webwork assignments by first printing out the assignment, then doing the problems on paper, referring to the sources as needed. After the problem is done, submit your answer. If it is correct, proceed to the next problem; if not, try to find your error. It could just as well be arithmetic, a syntactical error in submission, or a conceptual error. In the latter case, reread the appropriate text and try again (there is no penalty for incorrect tries), or finally, send an email to the instructor for assistance for guidance by clicking the Feedback button from that problem - this gives us a link directly to your specific version of the problem, and allows you to describe to us what you have tried and what is or isn't working. You can avoid roundoff errors by entering your answer symbolically rather than numerically and let webwork do the calculations (e.g., sqrt(2) may work where 1.41 may not.) The help button on each problem page has useful information for using webwork.

A summary of webwork formats, conventions, and available mathematical functions is available here.

Plan to complete your assignment two days before the closing time. If the system goes before then, you still have time to submit answers. If you wait until the last night, you will not have that time. I will sometimes extend a due date collectively or individually if there are significant technical difficulties or other pressing reasons, but once a set closes, reopening it wipes out your previous work and you would have to repeat your work on different versions of each problem.

Finally, you should note the page "Practice and Past Examinations", which contains typical and actual problems from past semesters. The exams starting from Fall 2004 are a bit closer to current exams than earlier ones.

Register for all exams at least two weeks before the exam through the Uonline webpage. Direct all questions concerning scheduling of exams to their office.

Past and Practice Examinations

Recent Exams, Practice Exams, and Detailed Solutions

Recommended Textbook Problems



January 8 Classes Begin
January 15 Martin Luther King Jr. Day Holiday
February 19 Fall Break Presidents Day Holiday
March 19-23 Spring Break
April 25 Classes End


Jan. 23 Webwork Assignment 0 (Demo), Introduction to Webwork. (For practicing formats.)
Jan. 30 Webwork Assignment 1, Logs and Exponentials (6.1-5) is due
Feb. 6 Webwork Assignment 2, Exponential Growth and Decay, Inverse Functions, Circular (Trigonometric) and Hyperbolic Functions and their Inverses (6.6-9) is due
Feb. 13 Webwork Assignment 3, Integration by Substitution, Trigonometric Integrals, Integration by Parts (7.1-3) is due
Feb 20 Webwork Assignment 4, Integration by Rational Functions by Partial Fractions and Substitution, Strategies for Integration (7.4-6) is due
Feb. 27 Webwork Assignment 5, Indeterminate Limits and Improper Integrals (8.1-4) is due
Mar. 6 Webwork Assignment 6, Sequences and Series (9.1-2) is due
Mar. 13 Webwork Assignment 7, Convergence Tests (9.3-5) is due
Mar. 27 Webwork Assignment 8, Power and Taylor Series (9.6-9) is due
Apr. 3 Webwork Assignment 9, Conics (10.1-4) is due
Apr. 10 Webwork Assignment 10, Polar Coordinates and Calculus (10.5-7) is due
Apr. 17 Webwork Assignment 11, Linear DEs and Applications (15.1-15.3) is due
 


Feb. 8, 10

Exam 1, Textbook Chapter 6: Exponentials and Logs

Mar. 1, 3

Exam 2, Textbook Chapters 7 and 8: Methods of Integration, Improper Integrals

Apr. 12, 14

Exam 3, Textbook Chapters 9 and 10: Series, Conics, and Polar Coordinates

May. 1

FINAL EXAMINATION



Supplementary Notes and Problems(Rossi)
Problems correspond to webwork assignments with the same number

Topics
Logs and Exponentials
Supplementary Notes (Rossi) Chapter 6, Postscript, PDF
Supplementary Notes (Rossi), Sections 6.1, 6.2
Practice Problems 1, Postscript, PDF
Answers to Practice Problems 1, Postscript, PDF

First Order Linear DEs
Supplementary Notes (Rossi), Sections 6,3, 6.4
Practice Problems 2, Postscript, PDF
Answers to Practice Problems 2, Postscript, PDF

Inverse Trig and Hyperbolic Functions; Integration by Substitution
Supplementary Notes (Rossi) Chapter 7, Postscript, PDF
Supplementary Notes (Rossi), Sections 6.5, 7.1
Practice Problems 3, Postscript, PDF
Answers to Practice Problems 3, Postscript, PDF

Integration by Parts, Partial Fractions
Supplementary Notes (Rossi), Sections 7.2, 7.3
Practice Problems 4, Postscript, PDF
Answers to Practice Problems 4, Postscript, PDF

l'Hopital's Rule
Supplementary Notes (Rossi) Chapter 8, Postscript, PDF
Supplementary Notes (Rossi), Sections 8.1,8.2
Practice Problems 5, Postscript, PDF
Answers to Practice Problems 5, Postscript, PDF

Improper Integrals
Supplementary Notes (Rossi), Sections 8.3,8.4
Practice Problems 6, Postscript, PDF
Answers to Practice Problems 6, Postscript, PDF

Taylor approximation; Infinite series
Supplementary Notes (Rossi) Chapter 9, Postscript, PDF
Supplementary Notes (Rossi), Sections 9.1, 9.2
Practice Problems 7, Postscript, PDF
Answers to Practice Problems 7, Postscript , PDF


Tests for Convergence
Supplementary Notes (Rossi), Sections 9.3
Practice Problems 8, Postscript, PDF
Answers to Practice Problems 8, Postscript , PDF

Power Series, Taylor series
Supplementary Notes (Rossi), Sections 9.4, 9.5
Practice Problems 9, Postscript, PDF
Answers to Practice Problems 9, Postscript, PDF

Numerical Methods
Supplementary Notes (Rossi) Chapter 10,Postscript, PDF
Practice Problems on Numerical Methods, Postscript, PDF
Answers to Practice Problems on Numerical Methods, Postscript, PDF

Conics
Supplementary Notes (Rossi) Chapter 11, Postscript, PDF
Supplementary Notes (Rossi), Section 11.1
Practice Problems 10, Postscript, PDF
Answers to Practice Problems 10, Postscript, PDF

Polar coordinates
Supplementary Notes (Rossi), Sections 11.2,3
Practice Problems 11, Postscript, PDF
Answers to Practice Problems 11, Postscript, PDF

Linear Differential Equations
Supplementary Notes (Rossi) Chapter 12, Postscript, PDF
Supplementary Notes (Rossi), Sections 12.1, 12.2
Practice Problems 12, Postscript, PDF
Answers to Practice Problems 12, Postscript, PDF

Nonhomogeneous Equations
Supplementary Notes (Rossi), Section 12.3
Practice Problems 13, Postscript, PDF
Answers to Practice Problems 13, Postscript, PDF