MATHEMATICS 1210-93 Calculus I
Read the page Course Information for information on course and grading parameters.
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 lists the topic, the relevant 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 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 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 round off 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.
Review of Number Facts
Textbook Sections: 1.1-1.2
Review of Inequalities, Graphing, and Linear Relationships
Textbook Sections: 1.3-1.8
Assignment 0: Introduction to Webwork. This does not close.
Polynomial Calculus Notes,Polynomial Calculus Notes Page
Polynomial Calculus Notes, Section PC1-PC5, Postscript, PDF
Polynomial Calculus Practice Problems, Postscript, PDF
Answers to Polynomial Calculus Practice Problems Section 1, Postscript, PDF
Answers to Polynomial Calculus Practice Problems Section 2, Postscript, PDF
Answers to Polynomial Calculus Practice Problems Section 3, Postscript, PDF
Answers to Polynomial Calculus Practice Problems Section 4, Postscript, PDF
Answers to Polynomial Calculus Practice Problems Section 5, Postscript, PDF
Functions and Graphs
Textbook Sections: 2.1-2.2
Supplementary Notes (Rossi), Chapter 1, Postscript, PDF
Supplementary Notes (Rossi), Chapter 1.1
Practice Problems 1, Postscript, PDF
Answers to Practice Problems 1, Postscript, PDF
Webwork Assignment 1 is due
Trigonometry, Limits
Textbook Sections: 2.3-2.5
Supplementary Notes (Rossi), Chapter 1.2, 1.3
Practice Problems 2, Postscript, PDF
Answers to Practice Problems 2, Postscript, PDF
Webwork Assignment 2 is due
More Limits, Continuity
Textbook Sections: 2.6-2.10
Supplementary Notes (Rossi), Chapter 1.4, 1.5
Practice Problems 3, Postscript, PDF
Answers to Practice Problems 3, Postscript, PDF
Webwork Assignment 3 is due
Exam 1: Chapters 1 and 2 of textbook
Basic Differentiation
Textbook Sections: 3.1-3.2
Supplementary Notes (Rossi), Chapter 2, Postscript, PDF
Supplementary Notes (Rossi), Chapter 2.1
Practice Problems 4, Postscript, PDF
Answers to Practice Problems 4, Postscript, PDF
Webwork Assignment 4 is due
Derivative Rules, The Chain Rule
Textbook Sections: 3.3-3.5
Supplementary Notes (Rossi), Chapter 2.2, 2.3
Practice Problems 5, Postscript, PDF
Answers to Practice Problems 5, Postscript, PDF
Notation, Higher Derivatives, Implicit Differentiation, Related Rates
Textbook Sections: 3.6-3.9
Supplementary Notes (Rossi), Chapter 3, Postscript, PDF
Supplementary Notes (Rossi), Chapter 3.1
Practice Problems 6, Postscript, PDF
Answers to Practice Problems 6, Postscript, PDF
Webwork Assignment 5 is due
Differentials, Maxima, Minima, Concavity
Textbook Sections: 3.10-3.11 and 4.1-4.2
Supplementary Notes (Rossi), Chapter 3.2
Practice Problems 7,Postscript, PDF
Answers to Practice Problems 7, Postscript, PDF
Webwork Assignment 6 is due
Optimization Problems, Graphing
Textbook Sections: 4.3-4.6
Supplementary Notes (Rossi), Chapter 3.3, 3.4
Practice Problems 8, Postscript, PDF
Answers to Practice Problems 8, Postscript, PDF
Webwork Assignment 7 is due
Exam 2: Chapters 3 and 4 of textbook
Antiderivatives, Indefinite Integrals, Separation of Variables
Textbook Sections: 4.7-4.8 and 5.1
Supplementary Notes (Rossi), Chapter 4, Postscript, PDF
Supplementary Notes (Rossi), Chapter 4.1, 4.2
Practice Problems 9, Postscript, PDF
Answers to Practice Problems 9, Postscript, PDF
Webwork Assignment 8 is due
Area, Definite Integrals
Textbook Sections: 5.2-5.5
Supplementary Notes (Rossi), Chapter 4.3
Practice Problems 10, Postscript, PDF
Answers to Practice Problems 10, Postscript, PDF
Webwork Assignment 9 is due
The Fundamental Theorems of Calculus
Textbook Sections: 5.6-5.9
Supplementary Notes (Rossi), Chapter 5, Postscript, PDF
Supplementary Notes (Rossi), Chapter 5.1
Practice Problems 11, Postscript , PDF
Answers to Practice Problems 11, Postscript, PDF
Webwork Assignment 10 is due
Volume; Arc Length
Textbook Sections: 6.1-6.3
Supplementary Notes (Rossi), Chapter 5.2
Practice Problems 12, Postscript , PDF
Answers to Practice Problems 12, Postscript, PDF
Webwork Assignment 11 is due
Work, Moments, Centroids
Textbook Sections: 6.4-6.6
Supplementary Notes (Rossi), Chapter 5.3, 5.4
Practice Problems 13, Postscript , PDF
Answers to Practice Problems 13, Postscript, PDF
Webwork Assignment 12 is due
Textbook Sections: 6.7
Webwork Assignment 13 is due
FINAL EXAMINATION: Chapters 1 through 6 of textbook