Download 62:150 Mathematics 100

62:150 Precalculus
Winter 2009
Location: Room 1-53 Brodie Science Building
Monday, Wednesday, Friday 9:30 a.m.-10:20 a.m., Slot 2
Instructor:
Office:
Phone:
E-mail:
Kathleen Nichol
Room 2-11 Brodie Science Building
727-9691 (work), 725-0952 (home)
[email protected]
Textbook: Precalculus - Mathematics for Calculus, Fifth Edition
by James Stewart, Lothar Redlin and Saleem Watson
Course Objectives:
Algebra and trigonometry, the backbones of a pre-calculus course, are two of the
most useful subjects you will every study. They can be used to solve applied
problems that arise in almost every field. If you are interested in business,
architecture, medicine, law, physics, biology, chemistry, agriculture, forestry, or
journalism, you will find algebra and trigonometry useful problem-solving tools.
This course is an intense overview of mathematical topics which are important for
understanding calculus at the university level. It emphasizes the mathematic
concepts and techniques which form the foundation of calculus. By helping students
to improve their understanding of these basic ideas, we hope that they will be
better able to make a smooth transition to university level calculus. By the end of
this course, we hope to bridge the gap between what you know and what you need to
know to successfully complete Calculus I.
From the table of contents, we will cover the following sections:
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
1.
2.
3.
4.
6.
5.
7.
9.
10.
11.
Fundamentals – 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.10, 1.11
Functions – 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8
Polynomial and Rational Functions – 3.1, 3.2, 3.3, 3.4, 3.6
Exponential and Logarithmic Functions – 4.1, 4.2, 4.3, 4.4, 4.5
Trigonometric Functions of Angles – 6.1, 6.2, 6.3, 6.4, 6.5, 6.6
Trigonometric Functions of Real Numbers – 5.1, 5.2, 5.3, 5.4
Analytic Trigonometric – 7.1, 7.2, 7.3, 7.4, 7.5
Systems of Equations and Inequalities – 9.1, 9.2, 9.3, 9.9
Analytic Geometry – 10.1, 10.2, 10.3, 10.4
Sequences and Series – 11.1, 11.2, 11.3, 11.4, 11.5, 11.6
Lab: There will be a mandatory lab once every week. We will agree on a
time and place. You will be work on the quizzes and write the tests in this
time period. The quizzes are assignments to be worked on and handed in
during the lab period. The tests are closed book tests.
Expectations:
1. Keep up with assignments.
2. Ask questions. Before or after class. At the office. From the Math
Centre. In lab. It is there for you, so please make use of it.
3. This is a demanding course, but you can do it, with diligent work.
4. You will see the beauty of the math if you keep on top of it.
5. Don’t rely on memorization to learn math – understand.
6. Consider math a foreign language – it must be practiced.
Marking Scheme:
Quizzes: best 3 out of 4 quizzes
Tests: best 3 out of 4 tests
Final Exam:
Letter Grades: A+
A
B+
B
C+
C
D
F
= 15%
= 35%
= 50%
100%
= 90 – 100%
= 80 – 89.9%
= 76 – 79.9%
= 70 – 75.9%
= 66 – 69.9%
= 60 – 65.9%
= 50 – 59.9%
= 0 – 49.9%
Departmental Rule: Less than 45% on the final exam is an automatic F
for the course.
Tentative Pace:
Chapter 1 – about 3 to 4 weeks
Chapters 2 to 7 and 9 to 11 – about one chapter per week.
Pretest: In the first lab you will write a pretest to ensure that this is the
best course for you.
Tentative Progress Rate
Chapter
Topic
Finishing Date
Chapter 1
Review
January 30
Chapter 2
Functions
February 6
Chapter 3
Polynomial Functions
February 23
Chapter 4
Exponents and Logarithms March 6
Chapter 6
Chapter 5
Triangle Trigonometry
Trig Graphs
Chapter 7
Systems of Equations
and Inequalities
Chapter 10 Conics
Chapter 11 Sequences and Series
Extra
Probability
if time
Final Exam
Quiz 2, February 3
Test 2, February 10
Quiz 3, March 3
Test 3, March 10
March 13
March 16
Trig Functions, Identities, March 28
Equations
Chapter 9
Quiz/Test Schedule
Quiz 1, January 13
Test 1, January 20
April 2
Quiz 4, March 24
Test 4, March 31
April 7
April 11
April 11
Monday, April 13, 2:00 p.m.- 5:00 p.m.