MTH 132 (sec 104) Syllabus Fall 2004



MTH 132 (sec 103) Syllabus Fall 2007

CRN 3474

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

MTH 120 or MTH123 ( preferably with a C or higher)

Meeting time : M – F 11– 11:50 am Room 511 Smith Hall

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

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

Text : Precalculus , 3rd edition, Bittinger , Beecher , Ellenbogen & Penna, Addison Wesley Longman

Grading : attendance 5% (34 points )

surprise quizzes 15% (100 points)

probably 4 major exams 60% (400 points)

Note: If we have a 5th exam, then I will count the highest four exam scores

final( comprehensive ) exam 20% (133 points)

Final exam date: To be announced, possibly a common final on the algebra on Saturday December 8, 2007

at 2:00 pm or else on Thursday December 6, 2007 from10:15am to 12:15 pm

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 15% of the

667 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 getting a C.

Attendance Policy : This is not a DISTANCE LEARNING class!

Attendance is 5% of your grade( 34 points total). If your grade is borderline, these points can be important

in determining the final result. Everyone starts out with 34 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 exam scores.

Having more than 3 weeks worth of unexcused absences (i.e., 15 of 70 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 , as well as engaging in other forms of disruptive behavior, could be counted as an unexcused absence. 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 132 (sec 103) Syllabus Fall 2007

( 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.

Policy on Cheating :

Don't. Don't even help your neighbor cheat. If I suspect you are, then you'll get a 0 on that quiz or exam, and worse.

Addendum to MTH 132 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 132( sec 103) Fall 2007

Keeping Records of Your Grades and Computing Your Score

|Quiz# |1 |2 |3 |4 |

|score | | | | |

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

|grade range for |Exam 1 |Exam 2 |Exam 3 |Exam 4 |average of range values |

| | | | | |for all four exams |

| A | | | | | |

| B | | | | | |

| C | | | | | |

| D | | | | | |

|Absence # |1 |2 |

|1 |8/20- |R1. - R7. Review of exponents, radical notation, factoring, simplifying |

| |8/24 |1.1 distance formula for points in the plane |

| | |midpoint formula |

| | |equation of circle in standard form |

| | |1.2 definition of function, domain and range of function |

| | |vertical line test |

| | |finding domains of functions |

|2 |8/27- |1.3 equations of horizontal and vertical lines |

| |8/31 |slope formula |

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

| | |average rate of change |

| | |1.4 slope intercept form |

| | |point slope form |

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

| | |correlation coefficient |

| | |1.5 finding relative maximum and relative minimum values of a function |

| | |graphing piecewise functions |

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

|3 |9/4- |1.6 algebra of functions |

| |9/7 |finding the composition of functions |

| | |finding the domain of a composite function |

| |Labor |writing a function as a composition |

| |Day |1.7 testing a graph for x-axis symmetry, y-axis symmetry and |

| |day on |symmetry about the origin |

| |9/3/07 |testing if a function is even or odd or neither |

| | |transformations: |

| | |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 |

| | |2.1 algebraically solving for a zero of a linear function |

| | |solving equations on calculator by finding the zero of a function, by finding |

| | |where graphs intersect |

| | |EXAM 1 |

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

| |Fall | |

| |2007 | |

|4 |9/10- |2.2 real and imaginary parts of complex numbers |

| |9/14 |addition, subtraction , multiplication of complex numbers |

| | |complex conjugation |

| | |dividing one complex number by another |

| | |2.3 using the technique of completing the square to solve quadratic equations |

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

| | |solving equations which are quadratic in form |

| | |2.4 graphing quadratic functions in vertex form, in standard form : |

| | |finding the vertex, shape and axis of symmetry |

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

| | |2.5 solving rational equations: check solutions in original equation |

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

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

| | |solving equations with absolute value |

|5 |9/17- |2.6 multiplication principle for inequalities |

| |9/21 |solving linear inequalities |

| | |solving inequality statements joined by conjunction(and) & disjunction(or): |

| | |graphing the solution on a number line and using interval notation to |

| | |express the answer |

| | |solving absolute value inequalities |

| | |3.1 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 doing long division: identifying dividend, divisor, quotient and |

| | |remainder and interpreting the result |

| | |the remainder theorem and factor theorem |

|6 |9/24- |3.4 multiplicity of zeros |

| |9/28 |finding real and complex 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 |

| | |3.5 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 |

| | |3.6 using sign charts and test points to solve polynomial and rational inequalities |

| | |using the graphing calculator to solve inequalities |

| | |3.7 direct variation, inverse variation and finding constant of proportionality |

| | |combination of direct and inverse variation |

| | |EXAM 2 |

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

| |Fall | |

| |2007 | |

|7 |10/1- |4.1 interchanging x and y coordinates to graph the inverse relation |

| |10/5 |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 |

| | |restricting the domain when the function is not one to one |

| | |to define an inverse function |

| | |4.2 graphs of exponential functions |

| | |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 |

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

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

| | |to simplify expressions |

| | |other properties of logarithms |

|8 |10/8- |4.5 solving simple exponential equations |

| |10/12 |solving exponential equations by taking a logarithm on both sides |

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

| | |in the original logarithmic equation |

| | |4.6 exponential growth and doubling time |

| | |exponential decay and half life |

| | |5.1 measuring angles in degrees, minutes and seconds |

| | |right triangle definitions of sine, cosine, tangent: SOH CAH TOA |

| | |reciprocal trig functions: cosecant, secant, cotangent |

| | |values of trig functions for special acute angles |

| | |using co-function identities to find trig functions of complementary angles 5.2 word problems involving solving right |

| | |triangles |

| | |5.3 positive and negative angle, complementary and supplementary angles, |

| | |co-terminal angles |

| | |definitions of trig functions for angles on a circle of radius r |

| | |using reference angles to find trig functions for non-acute angles |

| | |using the value of one basic trig function and knowing the quadrant to find |

| | |the value of the other five basic trig functions |

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

| |Fall | |

| |2007 | |

|9 |10/15- |5.4 radian measure of angles on the unit circle |

| |10/19 |converting radians to degrees and vice versa |

| | |arc length formula for arc subtended by an angle( measured in radians ) |

| | |relationship between linear speed and angular speed |

| | |5.5 unit circle definitions of the basic trig functions |

| | |using reflections and reference angles to find trig functions of any angle |

| | |on unit circle |

| | |cosine and sine of the negative of an angle |

| | |properties of graphs of cosine and sine:domain and range, |

| | |period and amplitude |

| | |basic shapes of graphs for tangent, cotangent, secant and cosecant |

| | |5.6 hand sketching graphs of transformed sine and cosine functions: |

| | |phase shift and starting point, period and ending point of one cycle, |

| | |axis of periodicity, basic shape of graph, amplitude |

| | |given a picture of a transformed sine or cosine graph, figure out what |

| | |the equation is |

| | |EXAM 3 |

|10 |10/22- |6.1 the three Pythagorean Identities |

| |10/26 |cosine and sine of a sum/difference of angles |

| | |finding the cosine and sine of angles which are sums/differences |

| |(Last day |of familiar angles |

| |to drop |using trig identities to simplify expressions |

| |on 10/26) |6.2 co-function identities |

| | |using double angle identities |

| | |using half angle identities to evaluate trig functions at half the value of a |

| | |familiar angle |

| | |using identities to simplify expressions |

| | |6.3 proving trig identities: using trig identities and substitution to make one side |

| | |look like another |

|11 |10/29- |6.4 using concept of restricting the domain to define |

| |11/2 |inverse functions for sine, cosine, tangent |

| | |definition of arcsine, arccosine, arctangent : know their domains |

| | |and ranges |

| | |simplifying compositions of trig functions with inverse trig functions: |

| | |sometimes a picture of a right triangle helps |

| | |6.5 solving trigonometric equations |

| | |7.1 Law of Sines |

| | |solving AAS and ASA triangles |

| | |solving SSA triangles: one solution, two solutions or no solution |

| | |finding area of an oblique triangle |

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

| |Fall | |

| |2007 | |

|12 |11/5- |7.2 using the Law of Cosines to solve SSS triangles |

| |11/9 |7.3 absolute value of a complex number |

| | |plotting a complex number in the coordinate plane |

| | |converting a complex number from standard form |

| | |to polar form and vice versa |

| | |using polar form to multiply, divide complex numbers |

| | |using DeMoivre’s Theorem to raise complex numbers to powers |

| | |finding roots of complex numbers in polar form |

| | |7.4 converting rectangular to polar coordinates and vice versa |

| | |hand graphing polar equations |

| | |EXAM 4 |

|13 |11/12- |7.5 equivalent vectors have same direction and length |

| |11/16 |parallelogram law for addition and subtraction of vectors |

| | |7.6 standard position of a vector |

| |Thanks-giving |writing a vector in component form |

| | |computing magnitude of a vector |

| |Break |addition, subtraction and scalar multiplication |

| | |finding a unit vector in the direction of a given vector |

| |next week |finding the direction angle of a vector |

| | |using dot products to find the angle between two vectors |

|14 |11/26-11/30 |8.1 solving system of two equations and two unknowns: |

| |Week |substitution and elimination methods |

| |of |8.2 solving systems of three equations by Gaussian elimination |

| |the |8.3 augmented matrix for a system of linear equations |

| |Dead |elementary row operations |

| | |recognizing row reduced echelon form |

| |(11/28-12/4) |Gauss-Jordan method of solving systems of equations |

| | |8.4 addition, subtraction, and scalar multiplication of matrices |

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

| | |knowing when you can multiply matrices together |

| | |matrix multiplication |

|15 |12/3- |8.5 the identity matrix |

| |12/4 |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 |

| | |8.6 determinants of square matrices |

| | |Cramer’s Rule |

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

5.7 using geometric linear programming techniques to

solve systems of linear inequalities

5.8 decomposing rational expressions into partial fractions

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