MATHEMATICS 1220-93 Calculus II
Read the page "Course Information" for information on course and grading parameters.
The Webwork assignments form the core of this course. Do assignment 0 (non-credit) first in order to understand the protocols for submitting answers on Webwork.
The syllabus list the topic, the revalent notes and references sets of practice problems from the textbook and from Prof. Rossi's notes. It is strongly recommended that you do these practice problems, checking your work against the answers, before going on to the webwork assignments. 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 practice problem sets are written so as to reproduce, as well as possible, the act of watching the instructor work through a problem.
Finally, you should note the page "Practice and Past Examinations", which contains actual problems from past semesters.
Past and Practice Examinations
Do your wWbwork 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 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 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.
Logs and Exps
Assignment 0: Introduction to Webwork. This does not close.
Textbook Sections: 7.1-7.5
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
Webwork Assignment 1 is due: Logs and Exps
First Order Linear DEs
Textbook Sections: 7.6
Supplementary Notes (Rossi), Sections 6,3, 6.4
Practice Problems 2, Postscript, PDF
Answers to Practice Problems 2, Postscript, PDF
Webwork Assignment 2 is due: Growth and Decay
Inverse Trig and Hyperbolic Functions; Integration by Substitution
Textbook Sections: 7.7-7.9
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
Webwork Assignment 3 is due: Inverse Functions, Integration by Substitution
Integration by Parts, Partial Fractions
Textbook Sections: 8.1-8.6
Supplementary Notes (Rossi), Sections 7.2, 7.3
Practice Problems 4, Postscript, PDF
Answers to Practice Problems 4, Postscript, PDF
Webwork Assignment 4 is due: Integration by Parts and Partial Fractions
Exam 1: Chapters 7 and 8 textbook: Exponentials, Logs, Methods of Integration
l'Hopital's Rule
Textbook Sections: 9.1-9.2
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
Webwork Assignment 5 is due: Indeterminate Limits
Improper Integrals
Textbook Sections: 9.3-9.5
Supplementary Notes (Rossi), Sections 8.3,8.4
Practice Problems 6, Postscript, PDF
Answers to Practice Problems 6, Postscript, PDF
Webwork Assignment 6 is due: Improper Integrals
Infinite Sequences and Series
Textbook Sections: 10.1-10.2
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
Webwork Assignment 7: Sequences and Series
Tests for Convergence
Textbook Sections: 10.3-10.5
Supplementary Notes (Rossi), Sections 9.3
Practice Problems 8, Postscript, PDF
Answers to Practice Problems 8, Postscript , PDF
Webwork Assignment 8: Covergence Tests
Power Series, Taylor and Maclaurin Series, Taylor Approximation
Textbook Sections: 10.6-10.9 and 11.1
Supplementary Notes (Rossi), Sections 9.4, 9.5
Practice Problems 9, Postscript, PDF
Answers to Practice Problems 9, Postscript, PDF
Webwork Assignment 9: Power and Taylor Series
Exam 2: Chapters 9 and 10 textbook: Improper Integrals and Series
Numerical Methods
Textbook Sections: 11.2-11.6
Supplementary Notes (Rossi), Chapter 10, Postscript, PDF
Supplementary Notes (Rossi), Chapter 10
Problems on Numerical Methods, Postscript, PDF
Answers to Problems on Numerical Methods, Postscript, PDF
Conics
Textbook Sections: 12.1-12.5
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
Webwork Assignment 10: Numerical Methods, Conics, and Polars
Polar coordinates
Textbook Sections: 12.6-12.9
Supplementary Notes (Rossi), Sections 11.2, 11.3
Practice Problems 11, Postscript, PDF
Answers to Practice Problems 11, Postscript, PDF
Webwork Assignment 11: Polar Calculus
Linear Differential Equations
Textbook Sections: 18.1
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
Webwork Assignment 12: Linear DEs
Nonhomogeneous Equations
Textbook Sections: 18.2
Supplementary Notes (Rossi), Section 12.3
Applications of 2nd Order DEs
Textbook Sections: 18.3-18.4
Practice Problems 13, Postscript, PDF
Answers to Practice Problems 13, Postscript, PDF
Webwork Assignment 13
:Applications of DEs
Final Examination: Chapters 7 through 12 and 18 of textbook