M215 ANALYTIC GEOMETRY AND CALCULUS I Spring 2005

05:25P-06:50P MW HH103

05:25P-06:50P R HH464

INSTRUCTOR: Dr. Vesna Kilibarda

E-MAIL: vkilibar@iun.edu

URL: http://www.iun.edu/~mathvk

PHONE: (219) 980-6591 (w)

OFFICE: Hawthorn Building, Room 457

OFFICE HOURS: M W R
11:15A-12:00P 11:15A-12:00P
03:30P-05:25P 03:30P-05:25P 03:30P-05:25P

and by appointment

COURSE

OBJECTIVE: This course is designed to help you learn fundamental concepts, techniques, and applications of calculus. We will study coordinates, functions, straight lines, limits of functions, continuity, derivatives, definite integrals, and applications of differentiation and integration. The emphasis will be on gaining perspective and understanding of calculus concepts and principles and their usage in problem solving. Students will apply calculus concepts and reasoning to situations within and outside of this course.

PREREQUISITE: Either two years of high school algebra and trigonometry or

M125-M126

PROCEDURE: The students are expected to read the text and come to class prepared to discuss the ideas and have concepts clarified. Please work with a partner or two during the course of this session. Most of the work in class, including homework, can be done within each of these groups. Please see me if you have difficulty keeping up with the schedule.

HOMEWORK: Homework is an essential activity for you to achieve success in this class. We will discuss previously assigned homework problems in the beginning of each class period. Students are encouraged to work together to complete their homework assignments.

QUIZZES: We will have one quiz per week, on Thursdays, during the last 15 minutes of a class. Every quiz will consist of 2 - 4 homework problems from the set of homework problems assigned previous week. All quizzes together will count toward your semester quiz score of 100 points.

EXAMS: You will take three chapter exams. These exams will not be cumulative. Each exam will have at least 30% of questions from assigned homework. A comprehensive final examination will be given on Monday, April 29, 2002 from 5:25 PM - 7:25 PM. All exams will consist of sets of problems related to the topics we covered in class or homework.

TEXT: Calculus, Early Transcendetals, by Anton, Bivens, & Davis, Seventh Edition

SUPPLIES: A graphing calculator is required. Most class demonstrations will be done using Texas Instruments TI-83 graphing calculator. You may rent a graphing calculator in the IUN library.

COURSE

OUTLINE: Functions

Chapter 1, Sections 1.1-1.5

Limits and Continuity

Chapter 2, Sections 2.1, 2.2, 2.3, 2.5, 2.6

TEST I (approximately 02/09)

The Derivative

Chapter 3, Sections 3.1-3.8

Exponential, Logarithmic, and Inverse Trigonometric Functions

Chapter 4, Sections 4.1-4.5

TEST II (approximately 03/09)

The Derivative in Graphing and Applications

Chapter 5, Sections 5.1-5.6

TEST III (approximately 04/11)

Integration

Chapter 6, Sections 6.1-6.2, 6.4-6.6

Final Exam: Monday, May 2, 2005 from 5:30 PM - 7:30 PM.

GRADING: All exams and a semester total of quizzes are worth 100 points. Your grade will be determined by the arithmetic mean of your scores. Grading intervals will be:

[90-100] points A

[80-90) points B

[70-80) points C

[60-70) points D

[0-60) points F

MATH LAB: The Math Lab is located in HH436. Students may receive drop-in tutoring. This is an excellent place to get help or find classmates for group sessions. Hours for the MATH LAB are:

M - R 9:00 AM - 8:00 PM

S 10:00 AM - 3:00 PM

DATE CHAPTERS HOMEWORK

01/10 1.1 Functions 2, 5, 8, 9-12

01/12 1.2 Properties of fnct. 1,4,7, 10, 14, 15, 20, 23

01/13 1.3 Graphing functions 4, 9, 18, 19, 22, 25, 33, 34

01/17 Martin Luther King Holiday-No Class

01/19 1.4 New fnct. from old 3a,d, 5, 11, 17, 21, 29, 33, 39,

01/20 Quiz 1 over 1.1-1.3 47, 51, 53, 59, 65, 71, 77

01/24 1.5 Lines 3, 7, 9, 17,19, 29, 31, 35,39, 43

01/26 2.1 Limits 3, 9, 13, 17, 21, 23, 25

01/27 2.2 Computing Limits 5- 17, 21- 31, 37, 39

Quiz 2 over 1.4-1.5

01/31 2.3 Computing Limits 5-29

02/02 2.5 Continuity 9, 11,15,19,21,23,27, 37, 41, 50

02/03 2.6 Trig. functions 5, 9, 15, 19, 23, 27,31,35,37, 43

Quiz 3 over 2.1-2.3 &

PRACTICE TEST I PUBLISHED ON THE WEB

02/07 Review

02/09 TEST I

02/10 3.1 Tangent Lines and Rates of Change 5-15, 19, 21

02/14 3.2 The Derivative 5-15,23,25,27-35,43,45

02/16 3.3 Techniques of Differentiation 13-23,29-39,47,57,65,75

02/17 3.4 Derivatives of Trig. Functions 5-15, 23, 27,31, 39

Quiz 4 over 3.1&3.

02/21 3.5 The Chain Rule 5-19,25,31,41,53, 61, 65

02/23 3.6 Implicit Differentiation 5-15,19,23-31, 37, 41-45

02/24 3.7 Related Rates 5-15, 21, 27, 31, 37, 41

Quiz 5 over 3.3-3.5

02/28 3.8 Local Linear approx; Differentials 3,11,15,21,35,47,57

03/02 4.1 Inverse Functions 9-19, 35,37,47

03/03 4.2 Logarithmic and Exponential Functions 5-25,31,35,41

Quiz 6 over 3.6-3.8 49, 51, 55

PRACTICE TEST II PUBLISHED ON THE WEB

03/07 REVIEW

03/09 TEST II

03/10 4.3 Derivatives of Log. and Exp. Fncts. 3-15, 27

03/14-03/18 SPRING RECESS

03/21 4.3 Derivatives of Log. and Exp. Fnct. 31, 35, 43, 61, 65.

03/23 4.4 Inverse Trig. Fnct. and Derivatives 1-7, 23-29

03/24 4.5 L'Hopital's Rule 9-19, 23, 31, 41,

Quiz 7 over 4.3 45, 51, 55, 45

03/25 Automatic 'W' Deadline

03/28 5.1 Increase, Decrease, and Concavity 1,5, 9-27,31,35, 53

03/30 5.2 Relative Extrema 1,5,9-13,19-31,49,53

03/31 5.3 Applying Technology 3,7, 13, 19, 25, 31,57, 65

Quiz 8 over 4.4-5.1

04/04 5.4 Motion Along a Line 9,11, 25-31

04/06 5.5 Absolute Max.and Min. 1,7-13,17-29,39,45

04/07 REVIEW, Quiz 9 over 5.2-5.4, &

PRACTICE TEST III PUBLISHED ON THE WEB

04/11 TEST III

04/13 5.6 Applied Max and Min Problems 7-17, 23-31,43, 47

04/14 6.1 Area Problem 3,5,11

04/18 6.2 Indefinite integral 9-25

04/20 6.4 Sigma Notation 3, 7, 23, 29, 31

04/21 6.5 Definite Integral 3, 11 – 23

Quiz 10 over 5.6-6.2

04/25 6.6 The Fundamental Thm. of Calculus 3,11– 23,39,41, 61

04/27 Review

04/28 Review &

PRACTICE FINAL TEST PUBLISHED ON THE WEB

05/02 FINAL EXAM 5:30 PM - 7:30 PM