MATH 112H -- Honors Calculus II -- Outline

SPRING 2003

Professor Bruce Bukiet, PhD

Mathematical Sciences Department







Room: 518 Cullimore
Phone Number: ( 973 ) 596-8392
e-mail: bukiet@m.njit.edu
Office Hours: Tuesday and Thursday 10:00 - 11:30 AM (or by appointment)

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Topics: Exams:

There will be two exams will be held during specially set hours.
Students are expected to take the exams on these days:

Wednesday, Feb. 19, 4:15-5:30 pm;

Wednesday, Apr. 9, 4:15-5:30 pm;



The date, time and place of the final exam will be announced later in the semester.
If you are late for an exam, you will not be able to take that exam.
The grade for a single missed exam will be determined by the grade on the final exam.
In most cases, if you miss two exams, you will be assigned a grade of " F "for the course.
If you know well in advance that you will be unable to take the exam (e.g., religious observance), please
let me know so we can work something out.

Books, calculators or other aids are not permitted during the exams (unless specified by the professor).

Method of Evaluation:

The final grade will be based on the scores received for the two exams and the final as well as grades on quizzes, class participation/attendance and homework. Each exam accounts for about 25% of the final grade and the final exam accounts for about 35%.

Attendance Policy:

Attendance is mandatory. Make sure you read and understand the department Attendance Policy.

Tutoring:

There is plenty of help available for this class. There is weekly recitation.Your instructor will answer questions related to topics covered in class during office hours, by appointment and before and after class. The Mathematical Sciences Department runs a tutorial center located in University (Kupfrian) Hall, Room 100. Students are urged to utilize the center for homework and study as needed.

Homework:

Homework assignments, will be assigned by your instructor.

Prepared by Bruce Bukiet for Spring 2003
 
 

Tentative Homework Assignments for Math 112 H

The more relevant exercises you do, whether they are assigned or not, the better prepared you should be for exams.

Before the first class, you should review Calculus 1 and be prepared to ask any questions you might have on material you may be unsure of from Calculus 1.

Exercises beyond those for Math 112 are in italics.
 

Section 6.4: Arc length and Surface Area of Revolution
page 404: 1,4,6,7,9,11,12,15,17,19,21,23,24,27,29,33,35,41,42,45
 
Section 6.5: Force and Work
page 413: 1,2,3,6,10,16,20,24,25,30,34,35,36
 
Section 6.6: Centroids of Plane Regions
page 422: 1,9,17,19,20,23,24,25
 
Section 7.1: Exponential and Logarithmic Functions
page 439: 1,3,4,7,12,15,21,22,23,27,29,30,33,40,41,43,45,46,48,50,56,57, 61,64 (prove result by math induction),65,66,70
 
Section 7.2: Indeterminate Forms and L'hopital's Rule
page 448: 1,3,4,6,7,9,15,19,24,29,40,43,49,50,61,66
 
Section 7.3: More Indeterminate Forms
page 453: 1,2,9,14,16,18,21,23,24,32,43,44,48,54
 
Section 7.4: The Natural Logartihm as an Integral
page 465: 1,3,6,7,9,16,17,19,21,23,24,25,26,27,28,30,31,32,33,39,41
 
Section 7.5: Inverse Trigonometric Functions
page 475: 1,5,6,8,9,17,19,23,27,31,32,35,36,37,38,41,44,49,50,55,58,65,67,68

Section 7.6: Hyperbolic Functions

page 483: 1,2,3,6,9,15,21,29,39,45,52,53

Section 8.2: Integral Tables and Simple Substitutions

page 493: 2,4,5,9,13,15,17,22,27,31,34,36,37,46,52,53
 
Review for EXAM 1
 
Study for EXAM 1
 
Go over for EXAM 1

Section 8.3: Integration by Parts

page 499: 1,3,5,6,7,9,10,15,20,21,24,35,37,38,40,42,47,49,51,57,58,61,66

Section 8.4: Trigonometric Integrals

page 507: 1,2,3,4,10,11,16,17,20,21,23,24,26,27,30,33,38,43,45,49,59,62

Section 8.5: Rational Functions and Partial Fractions

page 514: 1,3,5,8,10,13,18,23,27,30,31,37,41,42,45,59

Section 8.6: Trigonometric Substitution

page 519: 2,3,6,7,8,12,14,19,29,31,37,42,44

Section 8.7: Integral Involving Quadratic Polynomials

page 524: 1,3,5,11,12,20,21,25,27,29,47,48

Section 8.8: Improper Integrals

page 537: 1-6,8,11,13,14,16,17,19,21,23,25,29,35,39,49,50,51,52,58

Section 10.1: Analytic Geometry and the Conic Sections

page 628: 1,2,3,5,7,8,12,17,18,21,23,25,26,29,31

Section 10.2: Ploar Coordinates

page 635: 1,2,3,4,6,7,11,14,15,21,26,31,33,39,41,42,47,49,50,53,63

Section 10.3: Area Computations in Polar Coordinates

page 641: 1,3,5,6,7,9,10,13,17,18,25,26,27,33,39,40

Section 10.4: Parametric Curves

page 650: 1,6,13,17,21,25,31,43

Section 10.5: Integral Computations with Parametric Curves

page 657: 1,5, 7, 10, 11, 17, 22, 28, 43

Section 10.6: Conic Sections and Applications

page 676: 1,3,6,7,11,12,15,19,21,31,34,35,39,41,42,44,53,55,65,66,67,72,80,82,86

Section 11.2: Infinite Sequences

page 689: 1,2,5,7,9,12,13,18,23,28,33,35,38,39,53,56,57,58

Section 11.3: Infinite Series and Convergence

page 699: 1,2,3,4,6,7,8,11,12,14,15,17,21,24,25,35,37,38,39,41,44,45,47,48,50,51,52,55,56(w/o computer), 64,68,70

Section 11.4: Taylor Series and Taylor Polynomials

page 713: 1,2,3,5,6,7,9,11,12,14,17,20,21,22,24,25,29,30,31,32,33,37,39,40,41,42,44,56,57

Section 11.5: The Integral Test

page 720: 1,2,3,5,6,7,14,15,18,23,29,31,32,35,36,39

Section 11.6: Comparison Tests for Positive-Term Series

page 727: 1,2,3,6,11,13,14,19,20,21,23,24,27,28,29,32,34,35,37,39,41,43,45,50

Section 11.7: Alternating Series and Absolute Convergence

page 735: 1,2,3,5,7,9,10,13,14,19,20,21,23,24,25,26,27,29,30,31,35,36,43,45,49,50,51,55

Section 11.8: Power Series

page 748: 1,2,3,5,7,9,10,12,13,15,18,21,24,27,31,32,33,35,36,37,41,43,44,49,50,51,52,53,54,62,64

Section 11.9: Power Series Computations

page 756: 3,5,11,17,23,27,33,34