MATH
1K03E, WINTER 2004
Introductory
Calculus for Business, Humanities and the Social Sciences
http://www.math.mcmaster.ca/riosc/M1K03/
Lectures: Mondays,
19:00-22:00 HH 109
Tutorial 2: Mondays
18:00-19:00 JHE A102
Tutorial 3: Mondays
14:30-15:30 BSB A105
Purpose of the Course: To obtain a
working knowledge of Differential Calculus with applications to Business,
Economics and the Social Sciences. More
emphasis will be placed on solving and setting up word problems than on mere
calculation. To succeed in this course
it will be necessary to rely on and develop thinking and analyzing abilities.
Instructor: Dr. Cristian Rios
Office: 311
Hamilton Hall
Phone: 27104
e-mail: riosc@math.mcmaster.ca
Office Hours:
Mondays 4:00-5:00pm or by appointment.
Text: S.T.Tan, Applied Calculus for the
Managerial, Life and Social Sciences (fifth
edition). This course will cover chapters
2-5.
Marking Scheme:
10 Assignments (worth 2% each) 20%
2 Tests (worth 20% each) 40%
Final exam 40%
Total: 100%
Schedule
|
January 5, 2004 |
January 12, 2004 |
January 19, 2004 |
January 26, 2004 |
|
First Class |
|
|
Assignment 1 |
|
February 2, 2004 |
February 9, 2004 |
February 16, 2004 |
February 23, 2004 |
|
Assignment 2 |
Assignment 3 Test 1 |
Mid-term recess. |
Assignment 4 |
|
March 1, 2004 |
March 8, 2004 |
March 15, 2004 |
March 22, 2004 |
|
Assignment 5 |
Assignment 6 |
Assignment 7 |
Assignment 8 |
|
March 29, 2004 |
April 5, 2004 |
|
|
|
Assignment 9 Test 2 |
Last class / review |
|
|
Suggested homework problems: Each week
a list of exercises from the text will be suggested as practice problems and
posted on the course web-page. These
problems will be the minimal requirement necessary to be current in the
subject.
Assignments/Quizzes: There are 10
assignments in this course, each one worth 2% of the total mark. The
assignments should be deposited in the locker assigned for this course before
5pm on the scheduled due date. The lockers are located in the basement of
BSB. No late assignments will be
accepted. The mark corresponding to some assignments will be
determined by an in-class 20-minute quiz based on the corresponding assignment.
Tests: There are 2 tests in this
course. Each test will last 60 minutes and they will be given during the last
hour of class on the scheduled dates.
Final Examination: There will be a
three-hour comprehensive final exam in April during the examination period.
Calculator: Only the standard Casio
fx-991 calculator is permitted on the tests and the final examination. All other calculators are not allowed.
Tutorials: There are two tutorial sections assigned for this course,
Tutorial 1is held Mondays 6:00-7:00pm and Tutorial 2 is on Mondays 2:30-3:30pm.
All students are registered in the evening tutorial by
default. Those students wishing to attend the afternoon tutorial instead must
fill out a tutorial
change request form..
Necessary Mathematical Background: Factoring
polynomials, solving a quadratic equation, using laws of exponents and laws of
logarithms to simplify algebraic expressions, finding the slope and y-intercept
of a line, solving simple systems of two equations, graphing elementary curves
(linear, quadratic, powers, polynomials), solving word problems. Refer to Chapter 1 of the textbook for a
review of these topics.
Some Topics Covered in this Course:
Rules for taking derivatives: product rule, quotient rule and chain rule.
Finding the slope of a curve and the tangent line by using derivatives. Using
first and second derivatives to determine intervals of growth, concavity and
inflection points of a curve and to determine its graph. Exponential and
logarithmic functions and its derivatives. Word problems: optimization, maxima
and minima with and without constraints. Applications to Economics and Social
Sciences: continuously compounded interest, population growth.