MATH 160 Honors Calculus I Fall 2000

Time and Location:

Section 001 M W 02:00PM-03:15 PM PH 0312

F 02:00PM-03:15 PM PH 0304

W 12:00PM-12:50PM EB 2011 (Recitation - Odd numbered weeks)

W 12:00PM-01:50PM SL 1211A (Computer Lab - Even numbered weeks)

Section 002 CANCELED

Instructor: Steven E. Rigdon, SL1314, (618) 650-2193, srigdon@siue.edu

Office Hours: 1:30-2:00 & 3:30-4:30 M; 5:00-5:30 T; 1:30-2:00 W; 5:00-5:30 R; 1:30-2:00 F

Prerequisite: 7 Semesters of High School mathematics, or MATH 125

Textbook: Calculus, 8th Edition by Varberg, Purcell, and Rigdon, Published by Prentice Hall

Grading Scheme:

 Best 2 of 3 50-point exams 100 Quizzes (Drop lowest among first 10 and last 10 of 20) @5 Quizzes will be unannounced. To prepare for quizzes (1) Do all homework in covered sections. (2) Read the section to be covered. (3) Do the "Concepts Review’’ problems and the first 2 assigned problems in the section to be covered. 90 Best 4 of 5 Technology Projects @10 40 Lab Final Exam (Wed, November 29, 2000) 40 Final Exam 100 TOTAL 370

Assignment of Grades:

 Points Percent Letter Grade 0-199 0%-54% E 200-239 54%-65% D 240-289 65%-78% C 290-319 78%-86% B 320-370 86%-100% A

The "Honors" in Honors Calculus:

This is Honors Calculus. Expectations are higher than for the regular calculus sections in the following ways:

1. More challenging applications

2. More depth in theory

3. Better writing

Homework:

Homework will be assigned but not collected or graded in any way. It is up to you to keep up with the homework. You will not do well on the exams unless you can do the homework.

To Do Well in Calculus: Here are some suggestions for doing well in this class:

1. Come to class regularly

2. Come to class prepared (read the sections before they are covered in class, do the four problems in the CONCEPTS REVIEW section, and do the first two problems in each PROBLEM SET)

3. Promptly do all of the assigned homework. Don't get behind!!

4. Write clear and concise solutions to the homework, so that when you are studying for an exam, you will be able to understand what you have done.

5. If you have difficulty, see the instructor, the tutors in the Tutor Lab (SL1224), or another student in the class. The Tutor Lab hours will be posted early in the term. No appointment is necessary, and the service is provided free of charge. The Student Solution Manual, available in the Bookstore, may also be helpful.

Technology Projects: There will be computer labs every other Wednesday. You will be using Mathematica, a powerful package for doing calculus. Except for the first and last labs, you will be given Technology Projects to work on. (The first lab is a tutorial, and the last is the lab final exam.) Usually, these technology projects will be done in the computer lab, but turned in later. Answer the questions that are asked completely and thoroughly. Use complete English sentences. Explain what you did and what you learned; don't just tell us what your computer told you. Use Mathematica itself as your word processor. Turn in the assignments on time. While you may work together on the "Before the Lab" assignment and to some extent on the "During the Lab" and "Reflection" assignments, you should write your own report. Do not give your write-up to any one else. This is a form of plagiarism.

Writing: I expect excellent writing on your lab reports. On tests, you will have limited time, I don't expect as much. Do, however be careful of a few things.

1. The more you can explain to me (in words, pictures, equations, etc.) the more partial credit I can give. An incorrect answer showing that you began the problem correctly will get some partial credit. An incorrect answer with disorganized or missing work will get nothing.

2. Honor the equal sign. "=" means "equals". Don't make the following mistake:

Problem: Let and find Solution:

When you claim that two expressions are equal, they better be equal!!!

3. Organize. Align the equal signs. Write neatly.

Important Notes: *** No make exams ***

A grade of I can be given only under the following circumstances:

1. The student is prevented by a medical or similar emergency from completing a small portion of the course requirements.

2. The student presents valid documentation of the emergency.

3. The student is passing the course at the time of the emergency.

A grade of I cannot be given as an alternative to an E or UW.

Lab reports are due at the beginning of class on the Friday after the lab. The penalty for late work is 5 points if the assignment is turned in by the end of the day. Work will not be accepted after the due date.

Important Dates:

The last day to drop a course without receiving a grade is September 1.

The last day to drop a course without permission of adviser and instructor is October 27.

The last day to withdraw from a class or from school with permission of adviser and instructor is November 17. You receive a grade of WP if you are passing the course or a WE if you are not passing at the time you drop.

Course Outline:

 MONDAY WEDNESDAY FRIDAY 1 August 21 Review Chapter 1 2.1 Functions and Their Graphs 2.2 Operations on Functions 23 Recitation 12:00-12:50 - Review Precalculus 2.3 The Trigonometric Functions 25 2.4 Introduction to Limits 2 August/ September 28 2.5 Rigorous Study of Limits 30 Computer Lab - Introduction to Mathematica (not graded) 2.6 Limit Theorems 1 2.7 Limits Involving Trigonometric Functions 3 September 4 L A B O R D A Y No School 6 2.8 Limits at Infinity, Infinite Limits 8 2.9 Continuity of Functions Review 4 September 11 E X A M #1 Covers Chapters 1 & 2 13 Computer Lab - Technology Project 2.2 3.1 Two Problems with One Theme 15 3.2 The Derivative 5 September 18 3.3 Rules for Finding Derivatives 20 3.4 Derivatives of Trigonometric Functions 22 3.5 The Chain Rule 6 September 25 3.6 Leibniz Notation 3.7 Higher-Order Derivatives 27 Computer Lab - Technology Project 3.1 3.9 Related Rates 29 3.10 Differentials and Approximations 7 October 2 4.1 Maxima and Minima 4 4.2 Monotonicity and Concavity 6 4.3 Local Maxima and Minima 8 October 9 E X A M #2 Covers Chapter 3 and sections 1-3 of Chapter 4 10 Computer Lab - Technology Project 4.1 4.4 More Max-Min Problems 13 4.5 Economic Applications 9 October 16 4.6 Sophisticated Graphing 18 4.7 The Mean Value Theorem 20 5.1 Antiderivatives 10 October 23 5.2 Introduction to Differential Equations 25 Computer Lab - Technology Project 4.2 5.3 Sums and Sigma Notation 27 5.4 Introduction to Area 11 October/ November 30 5.5 The Definite Integral 1 5.6 THE FIRST FUNDA-MENTAL THEOREM OF CALCULUS 3 5.7 The Second Fundamental Theorem of Calculus and the MVT for Integrals 12 November 6 5.8 Evaluating Definite Integrals 6 Computer Lab - Technology Project 5.1 R E V I E W 10 E X A M #3 Covers sections 4, 6, and 7 of Chapter 4 and all of Chapter 5 13 November 13 7.1 The Natural Logarithm Function 15 7.2 Inverse Functions and Their Derivatives 17 7.3 The Natural Exponential Function 14 November/ December 27 7.4 General Exponential and Logarithmic Functions 29 Computer Lab - Lab Final Exam 7.5 Exponential Growth and Decay 1 7.6 First-Order Linear Differential Equations 15 December 4 7.7 The Inverse Trigonometric Functions and Their Derivatives 6 7.8 The Hyperbolic Functions and Their Derivatives 8 R E V I E W December 11 FINAL EXAM 12:00 - 1:40

Criteria for Grading Reports:

 Correctness and Completeness Response is complete and correct. Arguments are valid and reasoning is correct. All statements are unambiguous and correct. /6 Organization and Development Structure of report is well thought out and organized according to the appropriate style. Uses supporting elements (Figures, Tables, Mathematica code, etc.) that are accurate and appropriate. Conclusions are prominent and follow from students reasoning. /2 Writing Style and Presentation Report uses appropriate words. Paragraphs flow smoothly. Report shows mastery of punctuation, capitalization, and spelling. Presentation of mathematics follows established conventions. /2 TOTAL /10

On-Line Materials

The syllabus and homework assignments can be found at http://www.siue.edu/~srigdon/ M160SyllabusF00.html and http://www.siue.edu/~srigdon/M160HWF00.html or from the links at http://www.siue.edu/~srigdon.