Mathematics 154-3

Syllabus

                Winter 2005

 

Instructor:                                                                                           Daniel Arce.    Ext #536

Lecture:                                                                                                Tuesday & Thursday 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; and
4. 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 7

After January 7 you will need my signature to register until January 14.

Last day to drop the class without record is January 28.

Last day to drop with a W is March 4.

 

Our Final is scheduled for Tuesday March 22 @ 6:00 PM.

 

 

 

SCHEDULE

 

 

Jan. 4, 6.............. 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. 11, 13........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. 18, 20........ ..11.3 Combining Functions

                                                5,10,15,20,25,30,35,40,45,50,55,60,65,70

                                     11.4 Inverse Functions

                                                1,2,3,8,10,13,18,23,28,33,38,43,48,53,58,63,68,73

                                               

Jan. 25, 27......   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. 1, 3.........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. 8, 10.......                      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.

                                                4,7,10,13,16,19,22,25,28,31,34,37,41,44,47,48Feb. 15, 16....... 13.2 The Parabola

                                                4,7,10,13,16,19,22,27,32,37,43,48

                                  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

 

Feb. 22. 24 ......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

                                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                 FINAL