Welcome to
Differential Calculus
Mrs. Rolyne Butler
Semester Two
Course Outline
Although the course is not required for entrance to post secondary programs such as sciences, computer
science, engineering and so on, it is highly advisable to ensure preparedness for the rigors of
university math. We will cover the following units
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Review of Limits and Rates of Change
Derivatives
Applications of Derivatives (3 chapters)
Derivatives of Trigonometric and Inverse Trig Functions
Derivatives of Exponential and Logarithmic Functions
Antiderivatives and the Indefinite Integral
Mark Breakdown:
Classwork (HW quizzes, quizzes, tests)
Final Exam
70 %
30 %
Homework will be regularly assigned and there will be homework quizzes (some surprise quizzes).
I am available for extra help at lunchtimes (except when I am on duty), before school and after school
(except Thursdays). We also have a peer tutoring program that will start up soon.
Mrs. Butler’s Contact Info
• Home telephone until 11
pm is 648-0286
• I teach Thursday nights so
I won’t be home then
• Email is
butlemar@nbed.nb.ca
• After a week or so, notes
will be available on
https://www.edline.net/
• Notes will be available for
the first week or so on
http://butlersmath.wikispaces.com
Student Information
To be passed in on a sheet of looseleaf.
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Student Name
Student Number
Student Age as of January 28, 2009
Date of Birth
Student Home Address and Telephone Number
Name, Work Telephone, Place/Time of Work of Mom, Dad or Guardian
Name of Last Math Course Taken, Name of Last Math Teacher, Mark Earned on Last Math Course
Locker Number (only for Homeroom)
Combination Lock (only for Homeroom)
Semester Two Schedule: Period, Course Name, Teacher Name
Textbook Name and Textbook Number
3 Paragraphs of at Least 4 Sentences on each of the following:
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What do you do after school (besides math homework)
Feelings About School and Math
Plans After High School
Precalculus
Limits
Calculus
Differential
Integral
Who invented Calculus?
• Leibniz published his
findings on Calculus first
• Newton went ballistic
• Newton was a secretive,
somewhat paranoid sort.
• Most History of Math texts
seem to believe it was
Newton who first worked
on calculus concepts
What the heck is Calculus?
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Calculus is the study of how things
change
Differential calculus enables us to find,
for a given function, its rate of change
function
For example, the rate of change for
velocity with respect to time is
acceleration
Integral calculus is the opposite of
differential calculus
Calculus solves problems that cannot be
dealt with in regular math, because in
so many cases, quantities are
constantly changing at different rates
Life is not linear!!
Whoever heard of a car that goes at a
constant rate of 110 km/h from here to
Moncton?
Unit 1 – Review of Limits
The limit of a function as x approaches a constant,
c, is the value that the function approaches as x
approaches c. It is denoted as
lim f x
x c