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Mathematics
154-3 Syllabus Winter
2004 Instructor:
Daniel Arce. Ext
#536 Lecture:
Monday & Wednesday 6:00 - 7:50 PM Textbook:
Elementary and Intermediate Algebra by
Mark Dugopolsky.
Course: This
course is a thorough continuation of MAT152A and MAT152B.
Most of the topics which you learned in previous classes will be
revisited and expanded upon. I urge you to review the relevant material before you embark
on new concepts. It will save you
quite a bit of time and heartache. The
course will begin with Quadratic Equations, Inequalities and
related applications. We
will then jump in with both feet into Functions.
Function Notation, Graphing of Functions. Transformation
and Modification of graphs
and Combination and Reversal
of Functions. We
will study Logarithmic and Exponential Functions which are
really flip sides of the same coin. We
will study Systems of Equations, Linear and Non-Linear. We
will study Conic Sections: Circles,
Ellipses, Parabolas and Hyperbolas. We
will finish the course with Sequences and Series and the Binomial
Theorem. Throughout
the whole class we will examine some the practical applications of our new
found knowledge... aka Word Problems. Notice
how despite some of the words having little meaning to you now, you can get a
sense of things to come. By
now most of you know that there is no 'Royal Road to Mathematics'. It is only
learned through hard and consistent work. You also know by now that even the
most intimidating concepts can be learned and then mastered by anyone who puts
in the time. Do
Not fall behind. Most of the
concepts we will study are based on previously learned material.
Unless you are clear on previous lessons, you will find it almost
impossible to learn the new material. If you see yourself falling behind, let
me know. I will help you catch up. So
please KEEP UP WITH THE COURSE. Missing
a single day of math has been known to be fatal. It
is important that you are always willing to interrupt class with questions.
Even if your questions have to do with previous classes.
We will all appreciate it. Stupid
qustions do exist, but never about math. Course Objective: The
successful student will:1. exhibit a proficiency in the topics covered in the
course;2. engage in logical and critical thinking;3. read technical
information; and4. demonstrate the solution to problems by translating written
language into mathematical statements, interpreting information, sketching
relevant diagrams, analyzing given information, formulating appropriate math
statements, and checking and verifying results. Homework: I
will collect homework at the end of every section. You may turn it in late.
It is worth 10% of your grade. Know
that doing homework is the way to learn math. There is simply no way to do well and not do the homework.
The homework assigned is what I consider the bare minimum.
I encourage you to work out and turn in more problems than assigned. Tests
and Quizzes: We
will have a weekly quiz which count for 40%
of your grade. We will have a
single Midterm and a Final. I
will allow you to make up quizzes if you let me know before the quiz
date. If
you do the homework and understand it, you should have no trouble with the
quizzes. The
lowest individual quiz grade will be dropped. If
you have a learning disability or would simply like to take longer taking your
quizes and tests, let me know. We will make arrangements. Grading: Quizzes:
120 points.
270 points and above
A Homework:
30 points.
240-269 points
B Midterm:
50 points.
210-239 points
C Final:
100 points.
180-209 points D below
180
F Most
of your Quizzes and Tests will include extra credit points. Tutoring: You
should know that this course, as well as any other math course, is quite labor
intensive. This is especially so if you have not had the previous
quarter of Algebra or if it has been more than a few months since your last
math class. You will quickly find
that you need to study more than you ever expected just to keep up.
If
you find yourself behind or do not understand some of the references made
during lecture please come talk to me. You will see that many times a simple
misunderstanding will make it seem like you do not understand a thing. I
will always be willing to make time for tutoring.
Teaching Mathematics is my idea of time well spent so never hesitate to
ask me for individual help. We
can make an appointment or have a regular schedule. There
are also many other fine Math tutors with set hours and free of charge; what
more could you ask for ? I will
make their schedules available soon. Many
times it helps to hear concepts explained by different sources so please make
them feel useful. Never
hesitate to ask for help when it comes to Math and Science. Registration: You
must be registered for this class by January 9 After
January 9 you will need my signature to register until January 16. Last
day to drop the class without record is January 30. Last
day to drop with a W is March 5. Our
Final is scheduled for Monday March 22 @ 6:00 PM. SCHEDULE Keep
in mind that this quarter there are two holidays.
This of course means we must work harder to make up for those days. Jan.
5, 7.............. Introductions, Discussion of Syllabus
10.3 Quadratic Functions and Their Graphs 1,4,7,10,13,16,19,22,25,28,31,34,37,40,41,43,45
10.4 More About Quadratic Equations 1,2,5,10,15,20,23,28,33,38,41,46,51,55,58,60
Jan. 12, 14..........10.5 Inequalities 4,9,14,19,26,31,36,43,50,61,64
11.1 Graphs of Functions & Relations 1,5,6,11,16,21,26,31,36,41,46,51,56,61,66
11.2 Transformations of Graphs 6,11,16,21,26,31,36,41,46,51,56,61,66
Jan. 19 MARTIN LUTHER KING HOLIDAY
Jan.
21........ ..11.3 Combining Functions 5,10,15,20,25,30,35,40,45,50,55,60,65,70
11.4 Inverse Functions Jan.
26, 28...... 11.4 Inverse Functions (con=t)
1,2,3,8,10,13,18,23,28,33,38,43,48,53,58,63,68,73
12.1
Exponential Functions & Their Applications 1,2,5,6,7,12,17,22,27,32,37,42,47,52,57,62,67,72,76,77,82
12.2 Logarithmic Functions & Their Applications 1,4,6,11,16,21,26,31,36,41,46,51,56,61,66,71,77,82,86,88 Feb.
2, 4.........12.3 Properties of Logarithms 1,2,3,8,13,18,23,28,33,38,43,48,53,58,63,68,73,78,83,88,93,98 12.4
Solving Equations & Applications 1,2,3,8,13,18,23,28,33,38,43,48,53,58,59,62,66,67,70
Feb. 9, 11.......
MIDTERM 8.3
Solving Linear Equations in Three Variables 5,6,7,10,13,16,19,22,25,28,31,33,34,36,37,39 13.1
Non-Linear Systems. 4,7,10,13,16,19,22,25,28,31,34,37,41,44,47,48 Feb.
16 .......... PRESIDENT=S HOLIDAY Feb.
18....... 13.2 The Parabola 4,7,10,13,16,19,22,27,32,37,43,48
Feb.
23. 25 ......13.3 The Circle 1,2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,57,58
13.4 The Ellipse and The Hyperbola 2,4,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,54
Feb. 25, 27 ....... Review and Catch-Up of Conic
Sections. 14.1
Sequences 1,2,3,4,5,8,11,14,17,20,23,26,29,32,35,39,42,45,47,48
Mar.1, 3.......
14.2 Series 2,3,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,49,50,51,52
14.3 Arithmetic Sequences and Series 2,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,55,58
Mar.
8, 10 ........ 14.4 Geometric Sequences and Series 2,4,6,7,12,17,22,27,32,37,42,47,52,57,58,59,61
Mar.
15, 17...... 14.5 Binomial Theorem 1,2,3,4,5,6,9,12,15,18,21,24,27,30,33,36,39 Catch-Up Mar.
22
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