Review Worksheet 1
Calculus I, Fall 2016
September 27, 2016
The following problems are made to be on par or slightly more difficult than your
homework problems. They should cover most if not all possible topics on your first
midterm. Feel free to take que
Math 1271
Fall 2016
Background Check
This is not a placement test, and it will not count toward your grade, but it will help you identify
topics in the prerequisite mathematics that may give you trouble and make it difficult to succeed
in Calculus I. It i
Math 1271
Fall 2016
Sample Exam 1
October 4, 2016
Time Limit: 50 Minutes
Name (Print):
Lecturer
This exam contains 6 pages (including this cover page and a reference sheet) and 5 problems. Check
to see if any pages are missing. Enter all requested informa
NOTES ON LIMITS
ADIL ALI
Abstract. These notes cover the basic examples pertaining to limits.
1. Limits
Ill give a lot of examples in these notes. These notes are meant to augment what I
say in lecture, so dont be surprised if theyre not so persuasive.
Ex
Review Worksheet 1
Calculus I, Fall 2016
October 1, 2016
The following problems are made to be on par or slightly more difficult than your
homework problems. They should cover most if not all possible topics on your first
midterm. Feel free to take questi
Calculus I
MATH 1271
Fall 2016
Lecturer: Adil Ali
Teaching Assistants: Bryan Felix, Esther Banaian, Tara Palnitkar
Email: alix0114@umn.edu
Office: Vincent Hall 529
Office hours: Tuesday and Thursday: 1:30-3:30
Lecture: M,W,F 1:25-2:15, Anderson Hall 270.
Skills Needed for Success in Calculus 1
There is much apprehension from students taking Calculus. It seems that for many
people, "Calculus" is synonymous with "difficult." However, any teacher of Calculus
will tell you that the reason that students are no
Review Worksheet 3
Calculus I, Fall 2016
November 19, 2016
This worksheet is due before the Midterm on November 29th. Collaboration with
peers is allowed and even encouraged. Problems will receive credit if reasonable
progress is put towards them. If a ma
Math 1271
Fall 2016
Sample Exam III
Nov 22, 2016
Time Limit: 50 Minutes
Name (Print):
Lecturer
This exam contains 6 pages (including this cover page and a reference sheet) and 5 problems. Check
to see if any pages are missing. Enter all requested informat
Properties of Definite Integrals
Math 1271
November 2016
1
General Properties
1.
2.
3.
4.
5.
Rb
cf (x)dx = c
Rb
f (x)dx where c is any constant.
Rb
Rb
Rb
[f (x) = g(x)]dx = a f (x)dx + a g(x)dx
a
Rb
Rb
Rb
[f (x) g(x)]dx = a f (x)dx a g(x)dx
a
Rb
Ra
f (x)d
4.9 Antiderivatives
Definition (Chapter 4.9)
A function F is called an antiderivative of f on an interval I if F ( x ) = f ( x ) for all x in I.
In laymans language, an antiderivative is the opposite of derivative.
In other words, we are trying to find th