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. The syllabus is a *guide* for the coverage of
topics and the exams in the course. Specific lecturers may need to
adjust the time of exams given during the semester. The **final exam
for all sections** of Math 135 will be given on Wednesday, December
16, from 4 to 7 PM.

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 about the formats
that are offered.

There was a misprint in an earlier version of the review sheet for the
final exam. In problem 7, the intended specifications for K (besides
the differential equation) were K(0)=0 and K(2)=0. Earlier versions of
this problem had K´(2)=0. We regret the error.

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 will have "coordination" in 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 first and second
in-class exams written by "the management" as they were actually
given, along with answers and detailed grading guidelines. A small
misprint on the second exam has been corrected. 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 Postscript formats.

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) |

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!