MTH 132 (sec 104) Syllabus Fall 2004



MTH 132 (sec 201) Syllabus Spring 2011

CRN 3170

Prerequisites: A good high school algebra background together with a Math ACT of 24 or higher,

or completion of MTH 127 or 130 with a C or higher

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

exponential, logarithmic, and trigonometric. To be able to solve systems of equations and inequalities,

to study conic sections, polar parametric equations, sequences and series and the binomial Theorem.

( 5 credit hours )

Meeting time : M – F 8– 8:50 am Room 514 Smith Hall

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

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

Text : College Algebra and Trigonometry , Narasimhan, Houghton Mifflin

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: 8 - 10 am on either Monday May 2 or Thursday May 5, 2011( we'll discuss in class )

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 201) Syllabus Spring 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.

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.

TOPICS IN NARASIMHAN BOOK( darker font topics will be covered in MTH132 )

P.1. interval notation for open, closed, half-open & unbounded intervals

P.2. laws of exponents, rewriting expressions to have positive exponents

P.3. radical notation, simplifying radical expressions

rational exponents, simplifying expressions with rational exponents

rationalizing denominators

P.6. simplifying rational expressions, multiplying rational expressions

using LCD to help add/subtract rational expressions

simplifying complex fractions

1.1 relations & functions

domain and range

evaluating functions

1.2 graphing by plotting points

vertical line test

judging domain and range from a graph

x and y intercepts

1.3 linear functions and slope of a line

equations of horizontal and vertical lines

point slope form and slope intercept form

parallel and perpendicular lines

1.5 solving linear equations

finding point of intersection for two lines

solving linear inequalities, solving compound inequalities

2.5 solving absolute value equations

solving absolute value inequalities

2.6 graphing piecewise functions

3.1 vertex, axis of symmetry and shape of parabolas

vertex form & standard form for quadratic functions

graphing parabolas

3.2 solving quadratic equations by factoring, quadratic formula

importance of the discriminant

solving quadratic equations by using principle of square roots

completing the square

dividing one complex number by another

3.3 adding, subtracting, multiplying complex numbers

complex conjugates

division of complex numbers

powers of i

4.3 long division of polynomials

division algorithm

Remainder Theorem and Factor Theorem

synthetic division

4.4 using known zeros to help factor a polynomial

using the Rational Zeros Theorem to find candidates for zeros

4.5 Fundamental Theorem of Algebra and the Factorization Theorem

multiplicity of a factor, of a zero

factoring polynomials with real and complex zeros

designing a polynomial to have given real zeros

TOPICS IN NARASIMHAN BOOK(continued)

4.7 using sign charts and test points to solve polynomial and rational inequalities

5.1 concept of inverse function

verifying two functions are inverses

solving for the inverse function

one to one functions have inverses

horizontal line test for checking "one to oneness"

how to sketch the graph of an inverse function

5.2 graphing exponential functions

properties of exponential functions

base e

5.3 definition of logarithm base a, evaluating logarithms without a calculator

natural and common logarithms

converting logarithmic form to exponential form and vice versa

solving simple logarithmic equations

using the change of base formula

graphs of logarithmic functions

5.4 algebraic properties of logarithms

expanding a single logarithm into sums/differences of logarithms

combining sums/differences of logarithms into a single logarithm

5.5 solving exponential equations

using algebraic properties to help solve logarithmic equations

how to avoid extraneous solutions: check answers in original equation

5.6 exponential growth models and doubling time

radioactive decay models and half life

6.1 positive and negative angles, coterminal angles

measuring angles in degrees, minutes and seconds

converting degrees to radians and vice versa

arclength formula

how linear speed is related to angular speed

6.2 "right triangle" definitions of sine, cosine and tangent for

acute angles:SOH CAH TOA

using cofunction identities to find trig function values of complementary angles

sines and cosines of special acute angles

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

reciprocal trig functions: cosecant, secant, cotangent

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

using the value of one basic trig function and the quadrant of the terminal edge

to find the value of the other five basic trig functions

TOPICS IN NARASIMHAN BOOK(continued)

6.4 unit circle definitions of the basic trig functions

sines and cosines of special angles in 1st quadrant of unit circle

using reference angles to help find sines and cosines of special angles

outside of the 1st quadrant

the three Pythagorean Identities

negative angle identities

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

period and amplitude

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

6.6 sketching graphs of tangent and cotangent, secant and cosecant

6.7 using concept of restricting the domain to define

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

7.1 proving trig identities: using trig identities and substitution to make one side

look like another

7.2 identities for sine , cosine and tangent of sum/difference of angles

co-function identities

how to rewrite a sum of sine and cosine terms as a single sine term

7.3 double angle identities and power reducing identities

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

familiar angle

product to sum identities

7.4 solving trigonometric equations

8.1 Law of Sines

solving AAS and ASA triangles

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

finding area of an oblique triangle

8.2 using the Law of Cosines to solve SSS triangles

8.3 converting rectangular to polar coordinates and vice versa

8.4 hand graphing polar equations

TOPICS IN NARASIMHAN BOOK(continued)

8.5 standard position of a vector

writing a vector in component form

computing magnitude of a vector

finding the direction angle of a vector

addition, subtraction and scalar multiplication:

algebraic computation and parallelogram law method

finding a unit vector in the direction of a given vector

applications to net velocity and net force

8.6 computing dot product of vectors

using dot product to compute angle between vectors

testing if vectors are orthogonal

using dot products to compute work done by a force vector

computing projection of one vector on another vector

orthogonal decomposition of vectors

8.7 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

9.1 solving system of two equations and two unknowns:

substitution and elimination methods

solving systems of linear inequalities by graphing

9.2 solving systems of three equations by Gaussian elimination

9.3 augmented matrix for a system of linear equations

elementary row operations

recognizing row reduced echelon form

Gauss-Jordan method of solving systems of equations

9.4 addition, subtraction, and scalar multiplication of matrices

additive inverse of a matrix, the zero matrix

knowing when you can multiply matrices together

computing a product of matrices

9.5 the identity matrix

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

9.6 determinants of 2x2 & 3x3 matrices

Cramer’s Rule

9.7 partial fraction decompositions

9.8 techniques for solving systems of non-linear equations

TOPICS IN NARASIMHAN BOOK(continued)

10.1 directrix and focus, axis of symmetry and vertex of parabola

equations of parabolas with vertex at (0,0), at (h,k)

10.2 foci, major axis and minor axis of ellipse

standard equation of ellipses centered at (0,0), at (h,k)

10.3 foci and transverse axis of hyperbola

standard equation of hyperbolas centered at (0,0), at (h,k)

10.4 change of coordinates by rotation of x and y axes

general equation of conic section

rotating axes to rewrite conic section equation in new variables to

eliminate mixed variable terms

graphing rotated conics

10.5 focus-directrix definition(eccentricity) of ellipses, parabolas, and hyperbolas

deriving polar equations of ellipses, parabolas and hyperbolas

identifying a polar equation as an ellipse, parabola or hyperbola

10.6 graphing parametric equations of plane curves by plotting points,

by converting to rectangular form

parametric equations of circles, ellipses, projectile motion

11.1 forms of arithmetic sequences and geometric sequences

11.2 formulas for sum of 1st n terms of an arithmetic sequence, of a

geometric sequence

summation notation

formula for sum of an infinite geometric series

11.3 using a rule to define a sequence

finding a rule to describe terms of a sequence

generating terms of a recursively defined sequence

Fibonacci sequences

nth partial sum of a sequence

11.4 Multiplication Principle of counting

factorial notation

formulas for counting permutations and combinations

combinations of objects selected from different sets

11.5 directly computing the probability of an outcome in an event

probabilities of mutually exclusive events, of complement of an event

11.6 binomial expansions: ith binomial coefficient and ith term of binomial expansion

Binomial Theorem

11.7 principle of mathematical induction

proving formulas by mathematical induction

MTH 132 (sec 201) Syllabus Spring 2011

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

approximately 4 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 3rd, 6th, 9th, and

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 |

| |Spring | |date |

| |2011 | |covered |

|1 |1/10- |P.6 | |

| |1/14 |1.2 | |

| | |1.3 | |

| | |1.5 | |

|2 |1/18- |4.4 | |

| |1/21 |4.5 | |

| |MLK |4.7 | |

| |day on |5.1 | |

| |1/17 | | |

|3 |1/24- |5.2 | |

| |1/28 |5.3 | |

| | |5.4 | |

| | |EXAM 1 | |

|4 |1/31- |5.5 | |

| |2/4 |5.6 | |

| | |6.1 | |

|5 |2/7- |6.2 | |

| |2/11 |6.3 | |

| | |6.4 | |

| | |6.5 | |

|6 |2/12- |6.6 | |

| |2/16 |6.7 | |

| | |7.1 | |

| | |EXAM 2 | |

|7 |2/21-2/25 |7.2 | |

| | |7.3 | |

| | |7.4 | |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

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

| |Spring | |date |

| |2011 | |covered |

|8 |2/28- |8.1 | |

| |3/4 |8.2 | |

| | |8.3 | |

|9 |3/7- |8.4 | |

| |3/11 |8.5 | |

| | |8.6 | |

| | |EXAM 3 | |

|10 |3/14- |8.7 | |

| |3/18 |9.1 | |

| |(Last day |9.2 | |

| |to drop |9.3 | |

| |on 3/18) | | |

| |SPRING | | |

| |BREAK | | |

| |next | | |

| |week | | |

|11 |3/28- |9.4 | |

| |4/1 |9.5 | |

| | |9.6 | |

| | |9.7 | |

|12 |4/4- |9.8 | |

| |4/8 |10.1 | |

| |(ASSess- |10.2 | |

| |ment day |10.3 | |

| |on 4/6 ) |EXAM 4 | |

|13 |4/11-4/15 |10.4 | |

| | |10.5 | |

| | |10.6 | |

| | |11.1 | |

|14 |4/18-4/22 |11.2 | |

| | |11.3 | |

| | |11.4 | |

|15 |4/25-4/29 |11.5 | |

| |Week of the |11.6 | |

| |Dead |11.7 | |

| | | | |

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

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

MTH 132 (sec 201) Syllabus Spring 2011

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 |3 |4 |5 |6 |7 |8 |9 |10 |11 |12 |13 |14 |15 |16 |17 | |Date absent | | | | | | | | | | | | | | | | | | |Excused? Y or N? | | | | | | | | | | | | | | | | | | |Attendance Score |32 |30 |28 |26 |24 |22 |20 |18 |16 |14 |12 |10 |8 |6 |4 |2 |0 | |

Attendance Score = 34 – [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)/667

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