Differential Calculus: Math 1205, Fall 2006, CRN 93667#

MW 3:35 - 4:25 pm, McBryde 223

Mahboub Baccouch

Graduate Student Mathematics Department Virginia Tech

Welcome to Math 1205: Math 1205 is a three-credit first semester differential calculus course. Topics of study include limits, continuity, differentiation, and applications of differentiation of functions of a single variable.

Course Information: Math 1205 Calculus

Text: Calculus Early Transcendentals (Fifth edition) by James Stewart

Course content: We will cover the material listed on the course syllabus. Any changes will be announced in class. We will also use Mathematica as a tool for analyzing problems and for visualizing and experimenting with data, functions, and graphs. Math 1205 has a Math Emporium component. Each student is responsible for doing the Mathematica lab worksheets and for taking weekly Emporium quizzes.

Course format: You will meet with your instructor during two one-hour classes each week. Class attendance will be taken and recorded. You will use the "third" hour of this course to complete the Lab Worksheets and to prepare and take the weekly quizzes in the Math Emporium (see the respective webpages for your responsibilities in these areas). The worksheets and quizzes are mandatory. The Math Emporium staff members are available for many hours each week to help you with your work.

Exams: There will be 3 common-time exams which are scheduled for:

7:00pm, 20 September 2006
7:00pm, 25 October 2006
7:00pm, 29 November 2006

The final exam will be Friday, 8 December 2006, 7pm – 9pm.

Honor System: You must abide by the Virginia Tech Honor Code for all graded work. See this webpage for further information about your responsibilities.

Resource Links

Announcements for Math 1205 : all Worksheets can be downloaded here.

Test 1: Wednesday September 20, 7:00pm: Covers sec.2.1 to sec.2.7

Test 1 Review Problems and Solutions

Test 1: solution

Test 1 Review Problems and Solutions

Test 1: solution

Quiz_Test1

Test 2: Wednesday October 25, 7:00pm: Covers sec.2.8 to sec.3.7

·             Test 2 Review

·             Test 2 Review Problems and Solutions

·             Test 2:

·             Test 2: solution

Test 3: Wednesday November 29, 7:00pm: Covers sec.3.8, 3.10, 3.11, sec.4.1-4.3, 4.5 and Lab Worksheets 7-8

·             Test 3 Quiz  and Solutions

·             Test 3 Review Problems and Solutions

·             Test 3 Review and Test 3 Summary

·             Test 3 and Test 3 Solution

FINAL EXAMINATION: Friday, December 8, 2006, 7:00 – 9:00 p.m.(McB 134)

The final exam session is two hours and consists of 2 parts:

¨ The multiple choice part during the first hour, calculators are not allowed. No one should be allowed to start the second half of the exam until the start of the second hour. At the end of the hour, I will collect the exams and the answer sheets. You
have to put your name on both parts so I can make sure you have filled in the correct form on your answer sheet and results will be sent to you a day or two later.

¨ The second half of the final will be like the three tests have been: free response and common to all sections, calculators are allowed. On this part if you finish early can leave.

·             Final 2000 , Final 2001 , Final 2002 , Final 2003 ,

·             Old common final Exams  with Solutions

Learn more about Calculus

1205 Class summary1205 Homework solution

Chapter 2: Limits and Derivatives

Math_1205_Calculus_sec.2.1 Homework_solution_sec.2.1

Math 1205 Calculus_sec.2.2 Homework_solution_sec.2.2_1 and Homework_solution_sec.2.2_2

Math 1205 Calculus_sec.2.3 Homework_solution_sec.2.3

Math 1205 Calculus_sec.2.4 Homework_solution_sec.2.4

Math 1205 Calculus_sec.2.5 Homework_solution_sec.2.5

Math 1205 Calculus_sec.2.6 Homework_solution_sec.2.6

Math 1205 Calculus_sec.2.7&sec.2.8 Homework_solution_sec.2.7&sec.2.8

Math 1205 Calculus_sec.2.9 Homework_solution_sec.2.9

Chapter 3: Differentiation Rules

Math_1205_Calculus_sec.3.1 Homework_solution_sec.3.1

Math 1205 Calculus_sec.3.2 Homework_solution_sec.3.2

Math 1205 Calculus_sec.3.3 Homework_solution_sec.3.3

Math 1205 Calculus_sec.3.4 Homework_solution_sec.3.4 Trigonometry Functions

Math 1205 Calculus_sec.3.5 Homework_solution_sec.3.5

Math 1205 Calculus_sec.3.6 Homework_solution_sec.3.6

Math 1205 Calculus_sec.3.7 Homework_solution_sec.3.7

Math 1205 Calculus_sec.3.8 Homework_solution_sec.3.8

·             Derivative Formulas

·             Review of Log & Exponential Properties and some Trig

Math 1205 Calculus_sec.3.10 Homework_solution_sec.3.10

Math 1205 Calculus_sec.3.11 Homework_solution_sec.3.11

Chapter 4: Applications of Differentiation

Math_1205_Calculus_sec.4.1 Homework_solution_sec.4.1

Math 1205 Calculus_sec.4.2 Homework_solution_sec.4.2

Math 1205 Calculus_sec.4.3 Homework_solution_sec.4.3

Math 1205 Calculus_sec.4.3&4.5 Homework_solution_sec.4.3&4.5

Math 1205 Calculus_sec.4.7 Homework_solution_sec.4.7

Math 1205 Lab Worksheets

Lab Worksheets are assigned for 10 of the weeks of the semester as set out in your syllabus. They are to be completed that week and are subject to testing in the weekly quiz for the next week. Questions on the material in Lab Worksheets will also be on the exams. Completing the Lab Worksheets is required; other material later in the course will be dependent on what you learn from them.

Lab Worksheet 0 : Trig review. Download this pdf file, print it and answer the questions on the worksheet. It is to be turned into your instructor at the first lecture of week 2. An answer sheet to fill out for this worksheet, is here. Solution to this worksheet, is here.

Lab Worksheet 1 : Basics of Mathematica as it can be applied to our first lectures. You should have installed Mathematica by now. Download the notebook, open it and work through the information and exercises. Solution to this worksheet, is here.

Lab Worksheet 2 : Exponentials and logarithms. Mostly a review of what you should know about these functions. More numeric table building and graphing. Solution to this worksheet, is here.

Lab Worksheet 3 :: Secant Lines and Tangent Lines. You study the limits of the slopes of secant lines as they collapse to a point for various functions. From the data you must decide if a tangent to the function at given points exists. Solution to this worksheet, is here.

Lab Worksheet 4 : Inverse functions. Mostly a review, but at a more advanced level. Students sometimes find these ideas somewhat confusing. . Solution to this worksheet, is here.

Lab Worksheet 5 : Derivatives. A miscellany of exercises and explorations. Solution to this worksheet, is here.

Lab Worksheet 6 : Rates of Change. Position, velocity and acceleration. Solution to this worksheet, is here.

Lab Worksheet 7: Functions Defined Implicitly. Solution to this worksheet, is here.

Lab Worksheet 8: Taylor polynomials. . Solution to this worksheet, is here.

Lab Worksheet 9: Absolute Extrema. . Solution to this worksheet, is here.

Taking Quizzes in Math 1205

¨ Generally, you may take your online quizzes whenever it is most convenient for you, but you must observe the time deadlines given in your schedule. Quizzes are not accessible after the deadline has passed.

¨ Deadlines are strictly enforced, so do not wait until the last minute! There are many courses that have similar deadlines at the Math Emporium, so you may need to wait in line to get a computer. The best way to avoid this problem is to complete your graded work as soon as you are ready and well before your deadline.

¨ If this is your first time taking a quiz (or if you want to refresh your memory), click here to view some general information about using the online testing system.

¨ There are two ways that you will use the online testing system in this course:

· Practice Quizzes Take them as often as you like, anytime, anywhere. The problems are randomly-generated from the same pool of multiple-choice questions as the graded quizzes. Therefore, the more practice quizzes you take, the better you will do on your graded quiz. Your scores on practice quizzes will be recorded, but they are discarded

· Graded Quizzes You may only take each graded quiz one time before the deadline given in the Schedule for your CRN. They must be taken in the General Computer Area of the Math Emporium. Since graded quizzes are not proctored, you may take them anytime that the Math Emporium is open. Your scores on graded quizzes will count in your final grade. Deadlines for graded quizzes will not be extended for any reason, including human error.

Here are some comments concerning these quizzes

Quiz 0_comments: Quiz 0, the orientation quiz, is due by 9:30pm Sunday, 27 Aug. It is about the content of the web pages and the first lecture. There is practice quiz for this one

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Honor System Policy

The rules of the Virginia Tech Honor System are in effect in this class and applies to all graded work. Specifically, the inclusion in an assignment of work (from any source) done by someone whose name does not appear on the assignment or the inclusion of a reproduction (by any means) of such work is a violation of the Honor Code unless this inclusion is accompanied by a full citation identifying the source and this inclusion is used in a way explicitly authorized by the teacher.

You are responsible for understanding and adhering to the Honor Code. Generally, the Honor Code prohibits giving or receiving unauthorized aid, assistance, or unfair advantage on academic work, and it prohibits plagiarism.

You may not copy someone else's work.

You are expected to pledge on Emporium quizzes, all tests and the final exam that the work is your own.

You are permitted to use a calculator on homework, in-class work and worksheets.

You are permitted to use a calculator on Exams 1 and 3 and the "free-response" portion of the Common Final.

You are not permitted to use a calculator on Test 2 and the Multiple Choice section of the Common Final.

You are permitted to use a calculator on Math Emporium quizzes.

You are not permitted to receive help from others or refer to your notes or other materials during Math Emporium quizzes. That is, they are 'closed-book.'

You are encouraged to seek help from any available resource on homework and worksheets assignments, but you must do your own write-up as an independent, solitary effort.

IMPORTANT DATES:

• Test Dates (7:00 p.m.):

Test 1 – September 20, 2006

Test 2 – October 25, 2006

Test 3 – November 29, 2006

• Emporium Quiz deadlines: Make sure to check the math 1205 homepage to see if any changes are made to the deadline dates specified for your CRN.

• Last Day to Add Classes: Friday, August 25, 2006

• Last Day to Drop Classes Without Grade Penalty: Friday, September 29, 2006

• Fall Break: Monday, October 9, 2006

• Last Day to Resign Without Grade Penalty: Monday, October 16, 2006

• Thanksgiving break: Saturday, November 18, 2006 – Sunday, November 26, 2006

• Classes end: December 6, 2006

• Deadline for undergraduates to request rescheduling of final examinations that conflict or constitute a third exam in twenty-four hours(See Academic Dean): Friday, November 17, 2006

• Last Day for undergraduates to apply for Course Withdrawal: Friday, December 1, 2006

• FINAL EXAMINATION: Friday, December 8, 2006, 7:00 – 9:00 p.m.