Math 21, Fall, 1996
Math 21, Fall, 1996
Math 21, Calculus and Analytic Geometry I, will cover the first 6 chapters of
Calculus, Early Transcendentals, third edition, by James Stewart. There
is also a supplemental text, Discovering Calculus with Maple , by Harris and
Lopez, which is required for this course.
Note that the general information, lecture notes,
and Maple-Primer handouts are now available
in plain-text versions, readable directly on your Web browser. It is not
perfectly formatted, and some mathematical symbols are garbled, but it might be
useful. This is more readable than the TeX versions promised in the general
information sheets. To print these documents, get the postscript version (the
first link) and simply print it. Most dorm printers should understand the
file, and print it with all the mathematical symbols.
Maple demonstrations
- Basics, Maple basics, how
to use Maple commands in algebra and simple equations.
- Solids of
Revolution, Demo/animation of various solids of revolution, written by
Professor Monks. There are worksheets for both Maple V rel 3 and Maple V rel 4.
The rel 4 worksheet is
better, if you have access to a PC with that version of Maple.
Maple worksheets and homework assignments
When you click on this link, the assignment, in the form of a Maple worksheet,
will download onto your computer. It will not start Maple automatically.
To use the worksheet, start Maple and load the file from there.
If your Netscape does not download the file, try pressing the Shift key while
you click on the link.
General Information
- Course Information.
Course information, requirements, and syllabus for the first part of the
course. Text version: Course Information, Text.
- Maple Primer, How to
use the Computers for Calculus
Information on using the computer. Text version: Maple Primer, Text
- Schedule,
Part 2. Lecture schedule and homework for
the second part of the
course. TeX version: Schedule, Part 2, TeX.
- Schedule,
Part 3. Lecture schedule and homework for
the third part of the
course. ASCII (plain text) version: Schedule, Part 3, ASCII.
Old Exams, with Solutions
We have available the exams, with solutions, given in Math 21 in the Fall
semester of 1993 which
you can use for reference. Remember that these may not cover exactly the same
material as the current exams do, due to the fact that the text is different,
and our exam scheduling and class schedules are different.
Old Final Exams
We have available the old final exam, unfortunately without solutions,
given in Math 21 in the Fall
semester of 1993 which
you can use for reference. Remember that it does not cover exactly the same
material as the current exam will, due to the fact that the text is different,
and our exam scheduling and class schedules are different.
Practice Exam
Professor Napier has written a practice sheet for the second exam. It is not exactly
a "practice exam", since it would be much longer than a one-hour exam. But, the
problems are good ones to study to prepare for the exam. Solutions will be made
available later. Since there are drawings, this is only available in Postscript
format.
Final Exam Practice Problems
NEW!
Professor Napier has written a collection of practice problems for the final
exam. The
problems are good ones to study to prepare for the exam. Answers will be
available later. Since there are drawings, this is only available in Postscript
format.
Lecture Notes
- 1.1.
Section 1.1, Preview. Text version: 1.1, Text. TeX version:
1.1, TeX.
The text version is not really usable for lecture notes, since all the
mathematical stuff gets garbled. Until I can figure out a pure-Web way to do
it, it'll just be either postscript or TeX. Wired sites can view postscript,
using a program called "ghostview". On the workstations, clicking on the
postscript version displays it automatically.
- 1.2.
Section 1.2, Limits of Functions. TeX version:
1.2, TeX.
- 1.3.
Section 1.3, Working with Limits. TeX version:
1.3, TeX.
- 1.4.
Section 1.4, Precise Definition of a Limit. TeX version:
1.4, TeX.
- 1.5, 1.6.
Section 1.5, 1.6, Continuity, Limits at Infinity. TeX version:
1.5, 1.6, TeX.
- 1.6, 1.7, 2.1.
Section 1.6, 1.7, 2.1, Limits at Infinity, Slope and Velocity, Definition of
the Derivative. TeX version:
1.6, 1.7, 2.1, TeX.
- 2.1, 2.2
Section 2.1 & 2.2, Definition of the Derivative, Rules TeX version:
2.1 & 2.2, TeX.
- 2.2, 2.3
Section 2.2 & 2.3, Derivative Rules, Rates of Change TeX version:
2.2 & 2.3, TeX.
- 2.3, 2.4
Section 2.3 & 2.4, Rates of Change, Trigonometric Functions. TeX version:
2.3 & 2.4, TeX.
- 2.4, 2.5
Section 2.4 & 2.5, Trigonometric Functions, Chain Rule. TeX version:
2.4 & 2.5, TeX.
- 2.5, 2.6
Section 2.5 & 2.6, Chain Rule, Conclusion; Implicit Differentiation.
TeX version:
2.5 & 2.6, TeX.
- 2.7
Section 2.7, Higher Derivatives.
TeX version:
2.7, TeX.
- 2.8
Section 2.8, Related Rates.
TeX version:
2.8, TeX.
- 2.8
Section 2.9. 2.10, Linear Approximation and Differentials, Implicit Differentiation.
TeX version:
2.9, 2.10, TeX.
- 3.1
Section 3.1, Exponential Functions and their Derivatives.
TeX version:
3.1, TeX.
- 3.2
Section 3.2, Inverse Functions and their Derivatives.
TeX version:
3.2, TeX.
- 3.3
Section 3.3, Logarithms
TeX version:
3.3, TeX.
- 3.4
Section 3.4, Derivatives of Logarithms, Logarithmic Differentiation.
TeX version:
3.4, TeX.
- 3.5
Section 3.5, Exponential Growth and Decay.
TeX version:
3.5, TeX.
- 3.6
Section 3.6, Inverse Trigonometric Functions.
TeX version:
3.6, TeX.
- 3.7-3.8
Section 3.7-3.8, Hyperbolic Functions. l'Hospital's Rule.
TeX version:
3.7-3.8, TeX.
- 4.1-4.2
Section 4.1-4.2, Maximum and Minimum Values. Mean Value Theorem.
TeX version:
4.1-4.2, TeX.
- 4.3
Section 4.3, First Derivative Test, Increasing/Decreasing Functions.
TeX version:
4.3, TeX.
- 4.4
Section 4.4, Concavity, Second Derivatives, Inflection Points.
TeX version:
4.4, TeX.
- 4.5
Section 4.5, Curve Sketching.
TeX version:
4.5, TeX.
- 4.7
Section 4.7, Max/Min Word Problems.
TeX version:
4.7, TeX.
- 4.9
Section 4.9, Antiderivatives.
TeX version:
4.9, TeX.
- 5.1
Section 5.1, Summation.
TeX version:
5.1, TeX.
- 5.2
Section 5.2, Area.
TeX version:
5.2, TeX.
- 5.3
Section 5.3, The Definite Integral.
TeX version:
5.3, TeX.
- 5.4
Section 5.4, The Fundamental Theorem of Calculus.
TeX version:
5.4, TeX.
- 5.5
Section 5.5, Substitution.
TeX version:
5.5, TeX.
- 5.6
Section 5.6, Logarithms as integrals.
TeX version:
5.6, TeX.
- 6.1
Section 6.1, Area.
TeX version:
6.1, TeX.
- 6.2-6.3
Section 6.2-6.3, Volume.
TeX version:
6.2-6.3, TeX.