Winter, 1998

Math 157 - Elements of Calculus (for non-science majors)

Instructor - Larry Curnutt

How to contact me

• Come to my office in B134. I'll be there from 8:30 to 9:20 everyday and from 4:45 to 5:15 Mondays and Wednesdays.

• Call me. My office phone number is 641-2412.

• Send me an e-mail: lcurnutt@bcc.ctc.edu

• You can find out more about the Mathematics Department and about me on the World Wide Web. The Math Web Site is at http://SciDiv.bcc.ctc.edu/Math/ and my homepage is at http://SciDiv.bcc.ctc.edu/LC/.

Textbook

Mathematics with Applications by Lial, Miller & Hungerford

Prerequisites

geometry (basis properties of triangles, rectangles, graphs)
algebra (Math 156, functional notation, graphs)
graphing calculator (see Appendix A)

Content

Calculus is the study/language of how things change. Calculus is one of western civilization's most significant intellectual achievements. The ideas that make-up calculus are both beautiful and powerful in the efficient and pervasive way that they apply to the real world. Without calculus, science and technology and economics would not exist as we know them. In this course, we will cover chapters 11-14. You will be introduced to the principal concepts/tools of calculus (derivatives and integrals), and you will study some of their applications. Right or wrong, calculus is the bullseye at which all of your previous mathematics courses have been aiming.

Daily Assignments

The following activities will require at least three hours each day. You are responsible for all material covered in the text and in the class lectures.
• Attend class.
  
• Study the textbook.
  
• Solve lots of problems. (See the list of suggested exercises below.)
  
• Reflect on the work you do.
  
• Ask questions.
  
• Work in small groups.
  
• Explain what you've learned.

Extra help

There is nothing wrong with getting stuck; it happens to all of us. Butting your head against a stone wall is even good for you in small doses. Though you shouldn't run for help at the drop of a hat (or a crumby little minus sign), don't let things get desperate. There is lots of support available.
• Classmates; study groups
  
• Me
  
• Math Lab in C204
  
• Solutions manual and other texts in the Library
  
• MAC computers in A111 (equipped with MAPLE software)

Exams

Fifty-minute midterms are worth 100 points each.
Dates for 9:30 exams are in red; 2:30 exam dates are in green in parentheses.
Monday 1/26 (Wednesday 1/28)
Friday 2/20 (Monday 2/23)
Monday 3/16 (Monday 3/16)

The two-hour final exam is worth 100 points.
Monday 3/23 (Wednesday 1/28)

Quizzes

Weeks that we don't have midterms, we will have 20-minute quizzes worth 20 points. Your best five quiz scores will count toward your final grade.
Dates for 9:30 quizzes are in red; 2:30 quiz dates are in green in parentheses.
Monday 1/12 (Wednesday 1/14)
Tuesday 1/20 (Wednesday 1/21)
Monday 2/2 (Wednesday 2/4)
Monday 2/9 (Wednesday 2/11)
Monday 3/2 (Monday 3/2)
Monday 3/9 (Monday 3/9)

In-class Assignments

Once each week you will be asked to assemble in teams of 3 or 4 people and complete an assignment in 20-30 minutes of class time. Each assignment will be worth six points, and fifty of these points will count toward your final grade.

There will be no make-up exams, quizzes or in-class assignments!
However, a low midterm exam score or a missed midterm exam may be compensated for by increasing the value of the final exam.
All exams and quizzes will be comprehensive.

Grades

A > 90% > B > 80% > C > 70% > D > 60% > F

A letter grade may be augmented with a + (= +.3gp) or a - (= -.3gp).

Friday, 2/20, is the last day that you may withdraw (grade = W).

CHEATING POLICY

Cheating includes copying answers on tests or assignments, glancing at nearby test papers, swapping papers, stealing, plagiarizing, and illicitly giving or receiving help on exams or assignments -- in short, presenting another's work or ideas as your own. You are expected to conduct yourself with integrity. When you cheat, or aid someone else in cheating, you violate a trust.

If you cheat, the following actions will be taken.

• You will receive a grade of 0 on the work on which the cheating occurred. This grade cannot be dropped.

• A report of the incident will be sent to the Dean of Students, who may file the report in your permanent record or take further disciplinary action such as suspension or expulsion from the college.

If you feel you have been unfairly accused of cheating, you may appeal.
(See WAC 132H-120 for a description of due process.)

SUGGESTED EXERCISES

These suggested exercises will not be graded or even collected. Thinking carefully about the solutions to these problems and talking about your approaches with other students should prepare you for the quizzes and exams. Some people will be able to get by doing less (I'm envious!); others will need to do more. If the statement of a problem has a graph or a table in it, or if itŐs context is applied, then pay special attention to it. Most class sessions will begin with a discussion of some of these exercises, usually selected by you.

Section 11.1

• 1-13 all
• 15-43 eoo
• 44-57 odd
• 58-63 all

Section 11.2

• 1-16 odd
• 13-18 all19-30 odd 31-46 all
• 19-30 odd
• 31-46 all

Section 11.3

• 1-12 odd
• 37-44 all

Section 11.4

• 1-46 odd
• 47-58 management
• 59-65 odd

Section 11.5

• 1-42 eoo
• 43-48 all

Section 11.6

• 1-38 odd
• 39-54 eoo
• 55-61 all
• 63,67

Section 11.7

• 1-24 odd
• 25-58 eoo
• 59-66 all
• 68

Section 11.8

• 1-8 all
• 9-21 eoo
• 23-27 management
• 41,43

Section 12.1

• 1-8 all
• 9-30 eoo
• 31-36 all
• 37-51 eoo
• 53-57 all
• 59,60

Section 12.2

• 1-16 all
• 19, 23
• 29-54 eoo
• 55-59 all
• 61

Section 12.3

• 1, 3
• 9, 11, 13, 15
• 18, 21, 23, 27, 29
• 31-36 all

Section 12.4

• 1-8 all
• 9-26 eoo
• 27-32 all
• 33-62eoo
• 63-74 odd

Section 13.1

• 1-52 odd
• 53-56 all

Section 13.2

• 1-44 eoo
• 45-48 all

Section 13.3

• 1-22odd
• 25, 26, 27, 29, 31, 33, 35
• 31, 33, 35

Section 13.4

• 1-36 eoo
• 37-44 odd
• 45-47 all
• 50, 51, 52, 57, 59

Section 13.5

• 1-29 odd
• 7-34 eoo

Section 13.6

• 1-28 odd

Section 14.1

• 1-30 odd

Section 14.2

• 1-46 odd

Section 14.3

• 1-25 eoo
• 27-34 odd