Precalculus
Version = 3, Corrected Edition
by
Carl Stitz, Ph.D.
Lakeland Community College
Jeff Zeager, Ph.D.
Lorain County Community College
July 4, 2013
ii
Acknowledgements
While the cover of this t
MA100 Lab Notes
Text References: Stitz-Zeager: 6.1 - 6.4
Exponential Functions:
An exponential function is a function of the form f (x) = ax , where a > 0, a = 1 is constant and called the base,
and x
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MA100 Lab Report 1 - Algebra Review
Name:
Student Number:
Winter 2018
1. [4 marks] Fully factor each of the following polynomials.
(a) 49 x2 = (7 x)
MA100 Lab Report 2 - Analytic Geometry; Intro to Functions and their Graphs
Text References: Stewart Analytic Geometry (entire document), SZ 1.3-1.6
Algebra - Review the material covered in the Stewar
Precalculus Notes
A textbook for Part I of MA100
Wilfrid Laurier University
September 2011
ii
Contents
1 Sets. Real Numbers
1.1 Sets in general. Notations . . . . . .
1.2 Set operations . . . . . . .
MA100 Week 3 Quiz Pre-Calculus Topics I
Name: _SOLUTIONS_
Lab
Student Number:
Fall 2011
1. Prove that if (n + 7)2
19 is odd, then n is odd
It is easier to prove the contrapositive: if n is even then (
MA100, Fall 2011, Precalculus - Additional Exercises Exp, Log, Trig
1
Exponentials
1) Bring the following expression to a simpler form (do not use a calculator !)
12 27
3
1
1
12 48 227 3
2
16
a)
4 2
MA100, Fall 2011, Precalculus Review Exercises
Basic Questions1
[1] Find the equation of the line through (1 , 4) and slope 3.
[2] Determine the domain of the functions:
a) f (x) =
c) f (x) =
x+5
1
+
MA100 Week 3 Report Pre-Calculus Topics II
Name: _SOLUTIONS_
Lab
Student Number:
Fall 2011
1. [2 marks] Read the following statement carefully and complete the required conversion: The average height
MA110 Test 1, 2009-10
Page 1
Disclaimer: Tests and exams from previous o erings of mathematics courses are posted to the on-line Exam
Bank, administered by the Mathematics Assistance Centre, as a cour
MA100 Week 4 Report Non-Linear Inequalities; Systems of Equations;
Functions
Name: _SOLUTIONS_
Lab
Student Number:
Fall 2011
1. [5 marks] Solve the inequality
x2
x2
x2
First set up as a "fraction":
(x
MA100, Fall 2011, Precalculus textbook, Answers to selected exercises, Chapters 2 to 6
Answers to selected exercises Chapter 2
2) a) True b) False c) False d) True
3) c) The converse: Prove that if si
MA100 Week 5 Report Functions
Name: _SOLUTIONS_
Lab
Student Number:
Fall 2011
x+3
1. [6 marks] Suppose f (x) =
: Determine each of the following in a simpli ed form. State any restrictions
x+1
on x.
(
MA100 Week 2 Report Pre-Calculus Topics I
Name: _SOLUTIONS_
Lab
Student Number:
Fall 2011
Sets of Real Numbers
1. [6 marks] When receiving a blood transfusion, a recipient must have all the antigens o
MA100 Week 2 - Sets and Logic
1. Sets:
De nition:
A set is a collection of objects (called elements) where order is not important.
Example 1:
Set A = fM ath; Biology; Chemistry; P hysics and Computing
MA100 Week 5 Lab Notes
1. Function Properties:
(a) Domain: If the domain is not explicitly de ned for a given function, it is assumed that the domain consists
of all real numbers for which the functio
MA100 Lab 3 - Transformations, Composition of Functions, Inverses
Text Reference: SZ 1.7, 5.1, 5.2
Transformations and Translations
Consider the graph of the function f (x). Then, if c > 0,
f (x) c
is
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MA100 Lab Report 2 - Analytic Geometry; Functions
Name:
Student Number:
Winter 2018
1. [4 marks] It has been estimated that a certain stream can sup
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NO
MA100 Lab 3 - Functions Continued
Name:
Student Number:
Lab
Fall 2015
1. [8 marks] Sketch the following graphs by applying transformations to the ba
MA100 Lab Notes - Transformations, Composition and Function Operations, Inverses
Text References: Precalc text - 1.5, 1.7, 5.1-5.2
Transformations and Translations
Consider the graph of the function f
MA100 Lab Notes - Analytic Geometry; Intro to Functions and their Graphs
Text References: Stewart Analytic Geometry, and sections 1.3 - 1.6 from Stitz-Zeager
Linear Functions:
A straight line passing
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MA100 Lab 1 - Algebra Review
Name:
Student Number:
Lab
Fall 2015
1. [5 marks] Fully factor each of the following polynomials.
(a) x4 + 4x3 12x2
(b)
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MA100 Lab 2 - Analytic Geometry and Intro to Functions
Name:
Student Number:
Lab
Fall 2015
1. [2 marks] Determine the equation of the line (in slope
MA110 Lab Report 2
Name:
Student Number:
Lab:
Fall 2015
1. [4 marks] A sports car is purchased and depreciates linearly in value.
(a) If the value of the car is $43500 after four years and $24000 afte
Fall Term, 2015
MATHEMATICS 100 - Introductory Calculus for the Life Sciences
Instructor: Dr. Cristina Stoica
E-mail: [email protected]
Oce: BA529
Oce Hours: Monday, Wednesday 10:00am -11:00am and 1:00pm
Beginning and Intermediate Algebra
Student Solutions Manual
Complete worked solutions to odd problems
Solutions manual has not been cross checked for accuracy.
If you disagree with this solutions man
MA 100 Introductory Calculus for the Natural Sciences
1
Precalculus Problems
Fall 2015
Resources: There are 4 sources for the problems, all freely available on the internet. It is recommended
you down
Fall Term, 2014
MA100 - B & C - Introductory Calculus for the Natural Sciences
Instructor:
Oce:
Oce Hours:
Dr. Fei Xu
BA303E
MW 11:30 am-12:20 pm in BA535 (Bricker Academic Building),
other times by a
MA100 Recommended Problems
Precalculus Problems
Resources: There are 3 sources for the problems, all freely available on the internet. It is
recommended you download and save all the les, in case the
MA100 Mock Midterm
Answers
(Full Solutions will NOT be posted;
use the MACs drop-in help centre if you have any questions.)
* Please remember that the mock test was meant as a means of providing an ex
MA100 Mock Midterm
Name:
* Please remember that mock tests are meant as a means of providing an extra set of practice questions
and basis for a review class. Do not study for the midterm based solely
MA100 Week 3 Lab Notes
TOPIC SUMMARY
Algebraic Techniques:
Common algebraic errors:
Correct Equalities
Common Errors
2
2
(a + b) 6= a2 + b2
p
a2 + b2 6= a + b
(a + b) = a2 + 2ab + b2
p
a2 + b2 cannot