The majority of students in this course are planning to major in biology, pharmacy, or business, all of which require at least one semester of calculus. Other students from such majors as psychology who think they may need "more" mathematics also take Math 135. Calculus is a wonderful intellectual achievement - there are even some students who take the course to see how beautiful the subject is! Here's the official course description:
01:640:135-136. CALCULUS I, II (4,4)For liberal arts majors. Prerequisite for 135: 01:640:112 or 115 or appropriate performance on the placement test in mathematics. Prerequisite for 136: CALC1. Credit restrictions: CR1, CR2.
Math 135: Analytic geometry, differential calculus, applications, and introduction to integral calculus. Math 136: Transcendental functions, techniques of integration, polar coordinates, and series.
|html (a web page)||Postscript||TeX|
The html version is easy to view. The Postscript version can be printed on one page. The plain TeX version is useful for those who may wish to edit it.
Here are review problems for the exams. Please realize that the
problems are only designed to be suggestions for student study. The
exams during the semester will be written by individual lecturers, and
different teaching emphasis may well lead to exams with somewhat
different problems. The "gif" alternative in the table is the
simplest, but look below for further information.
Students have asked for larger font sizes on the gifs. The review problems for the final exam have larger sizes. The strange + problem (that is, on some gifs the + looks like |) has also been solved! Technology progresses with small steps as well as major jumps.
|Review problems for exam #1||gif||Postscript||TeX||Answers|
|Review problems for exam #2||gif||Postscript||TeX||Answers|
|Review problems for the final exam||gif||Postscript||TeX||Answers|
This semester we again will have substantial coordination in our
large lecture sections of Math 135. Most of the students will be
taking versions of a final exam written by one person, with grading
substantially directed by that person. Students may want to see how
exams are formatted and the way questions are phrased and graded. So
here are versions of the two in-class exams written by "the
management" as they were actually given, along with answers and
detailed grading guidelines. The cover sheet for the exam is shown
here last although it appeared first in the physical
exams. The paragraph above discusses some differences between gif and
Now also presented here are the following: one version of the
|The exam as given||Answers to the exam||Grading guidelines|
|Exam #1||gif||Postscript||gif||Postscript||html (a web page)|
|Exam #2||gif||Postscript||gif||Postscript||html (a web page)|
|Final exam||gif||Postscript||Not available||html (a web page)|
The syllabus remarks that "Graphing calculators may be used on exams but calculators and computers with QWERTY keyboards or symbolic differentiation and integration programs are not allowed." Students should have and be able to use a graphing calculator on all exams in this course. One suitable graphing calculator which is most familiar to the instructional staff is the TI-82. We certainly won't use all the power of this instrument, but will concentrate on straightforward applications such as those described in this nice tutorial. Students should be aware that the numerical and graphical output of devices like graphing calculators may be deceptive. You shouldn't read more into the output than is there. Problems can happen if you don't heed this warning!