MTH 132 (sec 104) Syllabus Fall 2004



MTH 130 (sec 108) Syllabus Fall 2011

CRN 3160

Prerequisites: ACT Math score 21 or higher, or SAT Math score 500 or higher, or

MTH 120 or MTH 123 ( preferably with a C or higher, fairly recently)

Course Objectives : To learn about functions used in calculus including polynomial, rational,

exponential, and logarithmic. To be able to understands the concepts and be able to apply the rules of algebra.

To be able to draw and analyze graphs. To be able to solve systems of equations and inequalities.

Meeting time : T, R 8 am – 9:15pm Room 530 Smith Hall

Instructor : Dr. Alan Horwitz Office : Room 741 Smith Hall

Phone : (304)696-3046 Email : horwitz@marshall.edu

Text : College Algebra, 2nd edition, Ratti & McWaters, Addison Wesley Longman

Grading : attendance 6% (35 points )

surprise quizzes 18% (100 points)

3 major exams 54% (300 points)

final( comprehensive ) exam 22% (125 points)

Final exam date : Thursday December 8, 2011 at 8-10 am

General Policies :

Attendance is required and you must bring your text and graphing calculator (especially on quizzes and exams ). You are responsible for reading the text, working the exercises, coming to office hours for help when you’re stuck, and being aware of the dates for the major exams as they are announced. The TI-83 will be used in classroom demonstrations and is the recommended calculator, but you are free to use other brands (although I may not be able to help you with them in class).

Exam dates will be announced at least one week in advance. Makeup exams will be given only if you have an acceptable written excuse with evidence and/or you have obtained my prior permission.

I don’t like to give makeup exams, so don’t make a habit of requesting them. Makeups are likely to be

more difficult than the original exam and must be taken within one calendar week of the original exam date. You can’t make up a makeup exam: if you miss your appointment for a makeup exam, then you’ll get a score of 0 on the exam.

If you anticipate being absent from an exam due to a prior commitment, let me know in advance so we can schedule a makeup. If you cannot take an exam due to sudden circumstances, you must call my office and leave a message or email me on or before the day of the exam!

Surprise quizzes will cover material from the lectures and the assigned homework exercises. These can be given at any time during the class period. No makeup quizzes will be given, but the 2 lowest quiz grades will be dropped. The sum of your quiz scores ( after dropping the two lowest) will be scaled to a 100 point possible maximum, that is, to 18% of the

560 total possible points in the course.

In borderline cases, your final grade can be influenced by factors such as your record of attendance, whether or not

your exam scores have been improving during the semester, and your class participation. For example, if your course point total is at the very top of the C range or at the bottom of the B range , then a strong performance on the final exam can result in getting a course grade of B, while a weak performance can result in a grade of C.

Attendance Policy : This is not a DISTANCE LEARNING class!

Attendance is 6% of your grade( 35 points total ). If your grade is borderline, these points can be important

in determining the final result. Everyone starts out with 35 points, then loses 2 points for each class missed. Doing boardwork problems (see below) is a way to win back those lost points. Your attendance score will be graded on a stricter

curve than your exams scores.

Having more than 3 weeks worth of unexcused absences (i.e., 6 of 27 lectures ) will automatically result in a course grade of F! Being habitually late to class will count as an unexcused absence for each occurrence. Carrying on conversations with your neighbor could be counted as being absent. Walking out in the middle of lecture is rude and

a distraction to the class ; each occurrence will count as an unexcused absence. If you must leave class early for

a doctor’s appointment , etc., let me know at the beginning and I’ll usually be happy to give permission.

Absences which can be excused include illness, emergencies, or official participation in another university activity.

MTH 130 (sec 108) Syllabus Fall 2011

( continued )

Documentation from an outside source ( eg. coach, doctor, court clerk…) must be provided. If you lack documentation, then I can choose whether or not to excuse your absence.

HEED THIS WARNING:

Previously excused absences without documentation can, later, instantly change into the unexcused type if you accumulate an excessive number ( eg. more than 2 weeks worth ) of absences of any kind , both documented and undocumented :

You are responsible for keeping track of the number of times you’ve been absent. I won’t tell you when you’ve reached the threshold. Attendance will be checked daily with a sign-in sheet. Signing for someone other than yourself will result in severe penalties!! Signing in, then leaving early without permission will be regarded as an unexcused absence.

Sleeping in Class :

Habitual sleeping during lectures can be considered as an unexcused absence for each occurrence. If you are that tired, go home and take a real nap! You might want to change your sleeping schedule, so that you can be awake for class.

Policy on Cap Visors :

During quizzes and exams, all cap visors will be worn backward so that I can verify that your eyes aren’t roaming to your neighbor’s paper.

Cell Phone and Pager Policy :

Unless you are a secret service agent, fireman, or paramedic on call, all electronic communication devices such as pagers and cell phones should be shut off during class. Violation of this policy can result in confiscation of your device and the forced participation in a study of the deleterious health effects of frequent cell phone use.

Addendum to MTH 130 Syllabus :

I would like to motivate greater participation in class. Frequently, I will be selecting a few homework

problems so that volunteers can post their solutions immediately before the start of the next lecture. For each

solution that you post on the board ( and make a reasonable attempt on ) , I will ADD 2 points to your total score

in the course. Boardwork points can help determine your final grade in borderline cases and can help you to recover

points lost from your attendance score. ( They will not cancel your accumulation of unexcused absences, which can

result in failing the course if you have too many ) Rules for doing boardwork follow:

RULES FOR DOING BOARDWORK :

1. I’ll assign a selection of homework exercises to be posted for the next lecture.

2. Arrive early!! Have your solutions written on the board by the beginning of the class period.

Be sure to write the page number of the problem. Read the question carefully and be

reasonably sure that your solution is correct and that you have showed the details in your

solution.

3. Don’t post a problem that someone else is doing. On choosing which problem you do,

remember : The early bird gets the worm !

4. Write small enough so that your neighbors also have space to write their problems.

I don’t want territorial disputes. Also write large enough for people in the back rows to see.

5. Work it out, peaceably among yourselves, about who gets to post a problem.

Don’t be greedy: if you frequently post problems, give someone else an opportunity

if they haven’t posted one recently. On the other hand, don’t be so considerate that

nobody posts any problems.

6. Circle your name on the attendance sheet if you’ve posted a problem that day.

Use the honor system: don’t circle for someone else. The number of problems

on the board should match the number of circled names on the attendance sheet.

Make sure you also keep a record in your notes, just in case I

lose the attendance sheet.

MTH 130 (sec 108) Syllabus Fall 2011

Student Support Services:

0. Office Hours. Schedule to be announced.

1. Math Tutoring Lab, Smith Hall Room 526. Will be opened by the start of 2nd week of classes

2. Tutoring Services, in basement of Community and Technical College in room CTCB3.

See for more details.

3. Student Support Services Program in Prichard Hall, Room 130.

Call (304)696-3164 for more details.

4. Disabled Student Services in Prichard Hall, Room 120.

See or call (304)696-2271 for more details

Topics List

The following brisk schedule optimistically assumes we will cover a multitude of topics at a rapid pace:

approximately 2.5 sections per week! Realistically speaking, we may surge ahead or fall somewhat behind,

but we can’t afford to fall too far off the pace. The major exams will be roughly on the 5th, 9th, 13th, weeks,

plus or minus one week. Their precise dates will be announced at least one week in advance

and the topics will be specified ( and may possibly differ from what is indicated below).

Come to class regularly and you won’t be lost.

|Week |Dates | Approximate schedule : Sections covered and topics |Actual |

| |Fall | |Dates |

| |2011 | |Covered |

|1 |8/22- |P1. - P7. Review of exponents, radical notation, factoring, simplifying | |

| |8/26 |1.1 solving simple linear equations in one variable | |

| | |using LCD to help solve rational equations | |

| | |checking for extraneous solutions in inconsistent rational equations | |

|2 |8/29- |1.2 solving word problems with linear equations | |

| |9/2 |_________________________________________________________________ | |

| | |1.3 real and imaginary parts of complex numbers | |

| | |addition, subtraction , multiplication of complex numbers | |

| | |complex conjugation | |

| | |dividing one complex number by another | |

| | |1.4 using the quadratic formula : discriminant determines the type of answer | |

| | |using the technique of completing the square to solve quadratic equations | |

| | |solving equations which are quadratic in form | |

| | |solving quadratic equations in word problems | |

|3 |9/6- |1.5 solving rational equations: check solutions in original equation | |

| |9/9 |solving radical equations: first isolate a radical on one side, | |

| | |remember to check your solution in the original equation | |

| |Labor |solving equations with absolute value | |

| |Day on 9/5 |1.6 multiplication principle for inequalities | |

| | |solving linear inequalities, graphing the solution on a number line, and | |

| | |using interval notation to write the solution | |

| | |solving compound inequalities with "or" and "and" | |

| | |using the reciprocal sign property to help solve inequalities | |

|Week |Dates | Approximate schedule : Sections covered and topics |Actual |

| |Fall | |Dates |

| |2011 | |Covered |

|4 |9/12- |1.7 solving equations involving absolute value | |

| |9/16 |interpreting inequalities involving absolute values as compound inequalities | |

| | |solving inequalities involving absolute value | |

| | |2.1 plotting points in the coordinate plane | |

| | |distance formula for points in the plane | |

| | |midpoint formula | |

| | |2.2 solving for the x-intercepts and y-intercepts in the graph of an equation | |

| | |testing a graph for x-axis symmetry, y-axis symmetry and | |

| | |symmetry about the origin | |

| | |graphing the equation of a circle in standard form | |

| | |converting the equation of a circle in general form to standard form | |

| | |by completing the square | |

|55 | |

|9/19-9/23 | |

|2.3 equations of horizontal and vertical lines | |

|slope formula | |

|graphing a line through a point with a known slope | |

|slope intercept form | |

|point slope form | |

|using graphing calculator to fit data to a linear function | |

|correlation coefficient | |

|____________________________________________________________________________ | |

|Exam1 | |

| | |

|6 |9/26- |2.4 definition of function, domain and range of function | |

| |9/30 |evaluating functions | |

| | |vertical line test | |

| | |finding domains of functions | |

| | |2.5 increasing and decreasing behavior | |

| | |finding relative maximum and relative minimum values of a function | |

| | |testing if a function is even or odd or neither, symmetries | |

| | |average rate of change of a function | |

|7 |10/3- |2.6 graphs of basic polynomial functions | |

| |10/7 |graphs of basic root functions | |

| | |graphing piecewise functions | |

| | |_________________________________________________________________ | |

| | |2.7 vertical and horizontal translations of graphs | |

| | |vertical stretching and shrinking of graphs | |

| | |horizontal stretching and shrinking of graphs | |

| | |reflections across the x-axis and across the y-axis | |

| | |_________________________________________________________________ | |

| | |2.8 algebra of functions: finding the domain of sums, products and quotients | |

| | |finding the composition of functions | |

| | |finding the domain of a composite function | |

| | |writing a function as a composition | |

| | |______________________________________________________________________ | |

| | |2.9 interchanging x and y coordinates to graph the inverse relation | |

| | |one to one functions have inverses | |

| | |using the horizontal line test to decide if a function is one to one | |

| | |reflecting across line y = x to graph the inverse function | |

| | |solving for an inverse function | |

| | |using the range to find the domain of an inverse function | |

| Week |Actual |

|Dates |Dates |

|Fall |Covered |

|2011 | |

|Approximate schedule : Sections covered and topics | |

| | |

|8 |10/10- |3.1 graphing quadratic functions in vertex form, in standard form : | |

| |10/14 |finding the vertex, shape and axis of symmetry | |

| | |max-min word problems which involve quadratic functions | |

| | |______________________________________________________________________ | |

| | |3.2 degree and leading coefficient of a polynomial function | |

| | |the leading term test for general shape of the graph | |

| | |maximum number of intercepts and turning points for a | |

| | |polynomial of degree n | |

| | |using Intermediate Value Theorem to estimate the location of a zero | |

| | |______________________________________________________________________ | |

| | |3.3 the division algorithm | |

| | |doing long division: identifying dividend, divisor, quotient and | |

| | |remainder and interpreting the result | |

| | |synthetic division | |

| | |the remainder theorem and factor theorem | |

| | |3.4 multiplicity of zeros | |

| | |finding real zeros of polynomial functions by factoring | |

| | |complex zeros of polynomials with real coefficients occur in conjugate pairs | |

| | |rational zeros theorem for polynomials with integer coefficients | |

| | |Descarte’s Rule of Signs and Bounds Theorem( if time permits) | |

|9 |10/17- |3.5 factorization theorem for complex polynomials | |

| |10/21 |Conjugate Pairs Theorem for polynomials with real coefficients | |

| | |finding the complex zeros of polynomials | |

| | | | |

| | |3.6 finding the domain of a rational function | |

| | |finding equations of vertical asymptotes and the horizontal asymptote | |

| | |oblique asymptote occurs when degree of numerator is 1 more | |

| | |than degree of denominator | |

| | |Exam 2 | |

|10 |10/24- |3.7 using sign charts and test points to solve polynomial and rational inequalities | |

| |10/28 |using the graphing calculator to solve inequalities | |

| | |3.8 direct variation, inverse variation and finding constant of proportionality | |

| |(Last day |combination of direct and inverse variation | |

| |to drop |______________________________________________________________________ | |

| |on 10/28) |4.1 graphs of exponential functions | |

| | |rules in algebra for exponents | |

| | |solving simple exponential equations | |

| Week |Dates | Approximate schedule : Sections covered and topics |Actual |

| |Fall | |Dates |

| |2011 | |Covered |

|11 |10/31- |4.2 the natural exponential function | |

| |11/4 |simple interest vs. compound interest | |

| | |continuously compounded interest formula | |

| | |4.3 definition of “log base a of x” [pic] as the inverse of [pic] | |

| | |converting a logarithmic to an exponential equation and vice versa | |

| | |domain of logarithmic functions | |

| | |natural logarithms, common logarithms | |

| | |______________________________________________________________________ | |

| | |4.4 using rules for logarithm of a product, quotient and power | |

| | |to simplify expressions | |

| | |other properties of logarithms | |

| | |using the change of base formula to compute logarithms | |

|12 |11/7- |4.5 solving exponential equations by taking a logarithm on both sides | |

| |11/11 |solving logarithmic equations: you must check your answer | |

| | |in the original logarithmic equation | |

| | |exponential decay and half life( really in 4.4) | |

| | |exponential growth and doubling time | |

|13 |11/14- |5.1 solving system of two linear equations and two unknowns: | |

| |11/18 |substitution and elimination methods | |

| | |consistent and inconsistent, dependent and independent systems | |

| |Thanks-giving|geometric interpretation of systems of linear equations | |

| | |word problems | |

| |Break |5.2 solving systems of three equations by triangular form and back substitution | |

| | |using parameters to write solutions of non-square linear systems | |

| |next week |Exam 3 | |

|14 |11/28-12/2 |6.1 augmented matrix for a system of linear equations | |

| |Week |elementary row operations | |

| |of |recognizing row reduced echelon form | |

| |the |Gauss-Jordan method of solving systems of equations | |

| |Dead |6.2 addition, subtraction, and scalar multiplication of matrices | |

| | |additive inverse of a matrix, the zero matrix | |

| |(12/1-12/7) |knowing when you can multiply matrices together | |

| | |matrix multiplication | |

| | |the identity matrix | |

| | |6.3 definition of the multiplicative inverse of a square matrix | |

| | |Gauss-Jordan method of finding an inverse, if it exists | |

| | |using inverses to solve matrix equations | |

| | |6.4 determinants of square matrices | |

| | |Cramer’s Rule | |

|15 |12/5- |5.5 using geometric linear programming techniques to | |

| |12/6 |solve systems of linear inequalities | |

| | |5.6 decomposing rational expressions into partial fractions | |

| | |Review if we have time, or we may schedule it outside class hours | |

MTH 130 (sec 108) Syllabus Fall 2011

Keeping Records of Your Grades and Computing Your Score

|Quiz# |1 |2 |3 |

|score | | | |

Exam Total = sum of all exam scores(not including final)

|grade range for |Exam 1 |Exam 2 |Exam 3 |average of range values |

| | | | |for all three exams |

| A | | | | |

| B | | | | |

| C | | | | |

| D | | | | |

Absence # |1 |2 |3 |4 |5 |6 |7 |8 |9 |10 |11 |12 |13 |14 |15 |16 |17 | |Date absent | | | | | | | | | | | | | | | | | | |Excused? Y or N? | | | | | | | | | | | | | | | | | | |Attendance Score |33 |31 |29 |27 |25 |23 |21 |19 |17 |15 |13 |11 |9 |7 |5 |3 |1 | |

Attendance Score = 35 – [pic](# of days you were absent or extremely late)

Boardwork # |1 |2 |3 |4 |5 |6 |7 |8 |9 |10 |11 |12 |13 |14 |15 |16 |17 |18 | |Date done | | | | | | | | | | | | | | | | | | | |Boardwork Score |2 |4 |6 |8 |10 |12 |14 |16 |18 |20 |22 |24 |26 |28 |30 |32 |34 |36 | |

Boardwork Score = [pic]( # of boardworks you did , not counting the ones you really did badly )

Total % of Points=( Attendance Score

+Boardwork Score

+Adjusted Quiz Score

+Exam Total

+Final Exam Score)/560

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download