Summer 1999

**GOALS OF THIS COURSE:** The primary
goal of MTH 111 is to prepare you mathematically for further courses in
mathematics, especially calculus. The calculus sequence is often an essential
step toward degree and career objectives, so MTH 111 is also such a step.
Thus MTH 111 is aimed at the student for whom it will be the first of an
important series of courses rather than a last math course. ** This
course is NOT a good choice simply to fulfill a general education requirement.**
It demands a very substantial amount of hard work for 3 credits, and we
urge you to reconsider taking it if you are not committed to its aim.

**EXPECTATIONS:** We expect that you
will give this course 7-9 hours a week of your undivided attention in addition
to your class time. No kidding! This is an approximate figure of course,
but don't assume that you can spend less time than this and still get a
grade you'll like. We also expect that you will ATTEND
YOUR CLASS.

**HOUR TEST AND FINAL EXAM:** There
will be three hour tests which will be given in the class. About 80% of
the problems on the exams will be similar to problems on the assigned problems
list. The remainder will require a little deeper mastery of the material.

**CALCULATORS:** *You need a scientific
calculator for your class, home work and tests and exams.* Texas Instrument
TI 85 is recommended. Learn to use it and* bring it to the class and
exams*.

**HELP SESSIONS:** In addition to office
hours, the Math Department has an extensive of walk-in help sessions scheduled
in Rosevelt Hall.

**GRADING:** Your grade will be determined
out of a possible of 600 points:

Three hour tests | 300 points |

Final exam | 200 points |

Classwork | 100 points |

Total | 600 points |

**1. COME TO CLASS.** You're paying
for it; use it.

**2. LEARN TO DO ALL THE ASSIGNED PROBLEMS.**
Remember that most of the exam problems will be like the assigned ones.
Make sure you can do them You will have a good head start at exam time.

**3. SEEK HELP IF
YOU NEED IT.** Help is available. Get advice from your instructor.

**4. READ THE TEXT**. First of all,
*there
isn't time cover every detail in class.* Secondly, careful reading of
the text will give you a model of what good mathematical writing is like;
learn it.

**5. DEBUG YOUR METHODS.** There are
a few little things you either never quite learnt or learnt incorrectly.
Make conscious effort to find out what they are and fix them. For example,
you may think that x-1 + y-1= (x + y)-1; it isn't. Is x-1 · y-1=
(x · y)-1?

**6. BE PRECISE.** Many students don't
bother with things like equal signs and parentheses. Make a habit of using
them. Don't do too many things in your head; when in doubt, write it out.

**7. DON'T FOOL YOURSELF** about what
you know. You may have covered some of these topics in high school but
not at the level required in MTH 111. The only reliable way to tell if
you understand the material is whether you can do the problems without
too much of sweat.

**8. DON'T FALL BEHIND.** You will spend
less time in the end, with better results. Class attendance is essential.
If you must miss a class, notify your instructor in advance. No more than
two unexcused absences permitted.

**Please come to office hours for help as needed.**

**KNOW THE FOLLOWING FORMULAS FROM YOUR HIGH
SCHOOL DAYS:**

1) (The square of the sum or the difference).

2) (The difference of two squares).

3) (The cube of the sum or the difference)

4) (The sum or the difference of two cubes)

5) (Factoring)

6) (The quadratic formula)

7) The properties of a right triangle, simple properties of a circle, their areas and perimeters.

8) The area of a triangle. Properties of similar triangles.

9) In analytic geometry, you should know the distance formula, the midpoint formula and the standard equation of a circle.

10) Right triangle trigonometry.

(If you don't know these formulas, you should take MTH 099.)

**TEXT: PRECALCULUS **
by Bittenger, Beecher, Ellenborgen and Penna

**
SYLLABUS:**

Sections | Suggested problems
(every fourth problem) |

1.1 | 3,5,7,9,11,15,19,21,23,25,27,29,35,37,66,73,77 |

1.2 | 1,3,5,7,13,15,27,33,35,37,49,59,61,65 |

1.3 | 1,3,5,7,9,13,17,21,23,25,31,35,39,41,43 |

1.4 | 1,3,5,7,9,11,19 |

1.5 | 1,5,7,9,11,15,25,27,29 |

1.6 | 1,3,5,7,11,25,27,31,33,35,43,47,49 |

1.7 | 1,3,5,9,11,23,35,41,43,47,51,53 |

1.8 | 1,3,5,7,11,13,15,27,33,53 |

2.1 | 1,3,13,17,25,27,37,41,51,55,61,67 |

2.2 | 1,3,13,23,33,39,45,57,61 |

2.4 | 1,3,5,9,11,13 |

2.5 | 1,3,5,7,9,15,17,19,23,25,31,33,41,43,55 |

2.6 | 1-6,9,11,17,19,23,27,39 |

2.7 | 1,3,5,9,17,21,33,35,38,43,53,58,59,63,65 |

3.1 | 1,5,7,11,15,19 |

3.2 | 1,5,9,11,17,21,29,34,49,53 |

3.3 | 1,5,9,13,19,25,29,33,39,51,69 |

3.4 | 1,3,7,15,19,23,25,31,37,43,49,71 |

3.5 | 1,7,9,17,23,25,31,37,41,51,61,67,71 |

3.6 | 1,3,6,7,9,15,16 |

4.1 | 1,3,7,13,17,22,23,31,39,55,71 |

4.2 | 1,5,9,15,20,25,31 |

4.3 | 1,7,13,19,25,31,37,39,41,71,79,83,87 |

4.4 | 1,3,9,11,17,21,33,39,43,45 |

4.5 | 1,3,5,7,13,17,21,23,35,43 |

4.6 | 1,3,5,7,9,13,19,23,29,35 |

5.1 | 1,5,9,11,15,19,23,37,43,45,47,61,63,67 |

5.2 | 1,3,5,9,11,13,17,21,25,27,33 |

5.3 | 1,3,9,11,17,21,27 |

5.4 | 1,3,9,15,17,21,35,45,61,77 |

5.5 | 1,3,7,11,19,23,27 |

6.1 | 1,5,9,15,17,27,29 |

6.2 | 1,5,9,15,17,19,33 |

Review |

e-mail: kulenm@math.uri.edu

**Online information**: **www.math.uri.edu/courses**
or **www.math.uri.edu/~kulenm**

**Term II: June 28-July 31**

**Time**: M,W: 6-9:45 **Room: **SHEP 228

**Practice - Exams from Spring of 1998**: