Welcome to Differential Calculus

Mrs. Rolyne ButlerSemester Two

Course OutlineAlthough 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

• 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) 70 %Final Exam 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 InformationTo be passed in on a sheet of looseleaf.

• 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:

• 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?• 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 xf

cx

lim