MTH131 Applied Calculus I

### Spring 2003

Instructor: Lubos Thoma
Office: Tyler Hall 214
Tel: 874.4451
Email: thoma@math.uri.edu

Class Schedule:     Section 03:   TR 11.00am -- 12.15pm, TYLR 106
Section 04:   TR 12.30 -- 1.45pm, QUIN CONF

Office hours: T 2.00 - 3.00 pm, R 10.00 - 11.00 am, and by appointment

Important dates -- exams, quizes, homework

• Homework 10 and extra credit are due Tuesday May 6, 2003. Please see below.

• Project:   Here is a link to our project.

• Final Exam:   We will have our final exam on Friday May 9, 11.30am -- 2.30 pm, in CHAF 271 (This room is for all sections). See here. The final exam is a comprehensive exam.

Homework:

Homework set 10:   Section 7.1, problem 32 (on page 282); Section 7.1, problem 41 (on page 282); Section 7.1, problem 44 (on page 282);
Section 7.1, problem 55 (on page 282);     due: Tuesday May 6, 2003.

Extra credit:   Problem 15 (on page 247); Find the area between y = x^3-3x and y=x for x in the interval [-2,2];
Problem 24 (on page 296); Section 7.3, problem 24 (on page 290); Section 7.3, problem 31 (on page 290);
due: Tuesday May 6, 2003.

Homework set 9:   Section 4.8, problem 4 (on page 210), Section 5.1, problem 15 (on page 225), Section 5.2, problem 1 (on page 231),
Section 5.3, problem 11 (on page 236);     due: Tuesday April 29, 2003.
Homework set 8:   Section 4.2, problem 8 (on page 175),
Find the global maxima and minima of the function f(x) = x^3 - x^2 - x +3 over the open interval (-1,2),
Section 4.3, problem 15 (on page 180), Section 4.4, problem 9 (on page 187),
Section 4.7, problem 5 (on page 204);   due: Thursday April 17, 2003.
Homework set 7:   Section 3.2, problem 27 (on page 146), Section 3.2, problem 37 (on page 146),
Section 3.3, problem 4 (on page 149), Section 3.3, problem 14 (on page 149),
Section 3.3, problem 26 (on page 149);   due: Thursday March 27, 2003.
Homework set 6:   Section 3.1, problem 18 (on page 141), Section 3.1, problem 32 (on page 141),
Section 3.1, problem 39 (on page 141);   due: Thursday March 27, 2003.
Homework set 5:   Section 2.4, problem 15 (on page 116), Section 2.4, problem 18 (on page 116),
Section 'Limits, Continuity and the Definition of the Derivative', problem 7 (on page 134)
Section 'Limits, Continuity and the Definition of the Derivative', problem 29 (on page 134);
due: Thursday March 6, 2003.
Homework set 4:   Section 1.10, problem 20 (on page 68), Section 1.10, problem 22 (on page 68),
Section 'Fitting Formulas to Data', problem 6 (on page 80),
Section 'Limits to Infinity and End Behavior', problem 29 (on page 92);     due: Thursday February 20, 2003.
Homework set 3:   Section 1.7, problem 6 (on page 49), Section 1.8, problem 8 (on page 54),
due: Thursday February 13, 2003.
Homework set 2:   Section 1.5, problem 5 (on page 37), Section 1.5, problem 16 (on page 38),
Section 1.6, problem 11 (on page 42), Review problems for Ch.1, problem 35 (on page 72),
due: Thursday February 6, 2003.
Homework set 1:   Section 1.2, problem 2 (on page 11), Section 1.2, problem 15 (on page 12),
Section 1.2, problem 20 (on page 12), Section 1.3, problem 22 (on page 20),
due: Thursday January 30, 2003.

## Course Information

• The course   CENTRAL WEBPAGE
• CALENDAR and SYLLABUS
• Schedule of tutoring hours in Learning Assistance Network
• Text: Hughes-Hallett, et. al., Applied Calculus, second edition
• Calculators: A graphing calculator is required. (TI-83..86 recommended but others may be suitable too.) Calculators may not be permitted for some class quizzes and for parts of exams.
• Printable syllabus:   postscript   pdf
• Do you need to check how to compute a derivative ? The webpage for automatic computing of derivatives (which I mentioned in class) can be found HERE. Then follow the 'derivatives' link.

### Introduction

GOALS OF THIS COURSE: Math 131 is a calculus course primarily intended for students in the life or social sciences, such as Biology, Pharmacy, and Economics. It is different (but not easier) than the four-credit calculus course, Math 141, designed for students who intend to take more advanced math, such as engineering, computer science, and mathemactics majors. The main emphasis will on the practical interpretation of calculus in numerical, graphical, and algebraic terms, although important theoretical concepts will also be covered. The main topics of the course are functions, differentiation, integration and applications.

EXPECTATIONS: We expect that you will give this course 7-9 hours a week of your undivided attention, in addition to your class time. 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.

## Exams and Evaluation

There will be three exams given during the semester outside of class. These are scheduled for Wednesday February 26, April 2, and April 30 at 6:00-7:30 pm.   Locations will be announced in class. All sections will take these exams. The final exam will be scheduled at a common time for all sections.
The exams will reflect the variety of the homework problems. Do not expect to be asked merely to solve homework problems with the numbers changed. The best way to prepare for the exams, and to develop confidence in your ability to solve problems, is to work on the homework problems as suggested. Moreover, practice problems for exams can be found on the central webpage to further help you to prepare for the exams.