Honors Calculus I: MATH 111H OUT LINE

Room: 518 Cullimore
Phone Number: ( 973 ) 596-8392
e-mail: bukiet@m.njit.edu
Office Hours: Tuesday and Thursday 10:00 - 11:30 AM and Thursday 4:30 - 6:00 pm (or by appointment) [tentative]

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

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).

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 is mandatory. Students' names will be submitted to the Dean of Freshman Studies for withdrawal from the course if they miss more than three classes. Two latenesses are equivalent to one absence.

The last day to withdraw from the class and receive a "W" grade is Nov. ?, 2002.

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.

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 skim Chapter 1 and be prepared to ask any questions you might have on material
in Chapter 1. There will be a brief review of Chapter 1 the first class.

Math Induction problems and, possibly, Pre-Calc problems to be assigned in class.

Section 2.1: Tangent Lines and Slope Predictors
page 62: 1,2,5,7,9,10,15,17,20,26,27,29,30,33,35, Read introduction to problem 36

Section 2.2: The Limit Concept

page 73: 1,3,6,10,11,13,19,23,26,27,29,30,33,34,35,37,38,39, think of 47 and 49 as derivatives, do 53 and 60 using calculator

Section 2.3: More About Limits

page 85: 1,3,6,9,19,20,21,25,27 w/o graphing, 29,34,37,39,44,45,46,49,54,59 understand 71; do 75,78,81+handout problem

Section 2.4: The Concept of Continuity

page 97: 1,4,7,9,10,13,15,17,21,27,33,37,41,44,49,53,59, 63 (suppose p>q), Extra credit 71

Section 3.1: The Derivative and Rates of Change

page 112: 3,10,11,16,17,18,23,25,27,28,30-35,37,38,39,40,45,47,50,51,52,54,56 but change 2x+1 to 2x+2

Section 3.2: Basic Differentiation Rules

page 123: 1,3,5,10,15,19,28,31,39,41,44,53,56,57,60,61,read 63 and do 64,66,read 72;prove derivative of u(x)v(x)w(x)

Section 3.3: The Chain Rule

page 132: 1,5,9,13,17,18,23,25,27,29,35,38,39,45,50,51,53,54,56,60,65,67

Section 3.4: Derivatives of Algebraic Functions

page 139: 1,5,7,9,14,21,27,30,33,45,46,48,57-62,64,65

Section 3.5: Maxima and Minima of Functions on Closed Intervals

page 149: 1,3,4,5,8,9,11,17,19,23,26,27,29,33,37,39,41,42,45,47-52

Review for EXAM 1

Go over EXAM1;

Section 3.6: Applied Optimization Problems

page 159: 1,3,4,5,6,7,8,9,11,13,19,21,22,25,41,45,46,48,49,51,59

Section 3.7: Derivatives of Trigonometric Functions

page 172: 1,3,4,5,7,13,15,21,27,35,39,41,44,45,47,49,50,61,63,67,73,74,75,77,79,86,88

Section 3.8: Successive Approximations and Newton's Method

page 185: 1,3,9,13,17,18,21,23,25,27,33

More on Numerical Methods for Root Finding if time

Section 4.1: Implicit Differentiation and Related Rates

page 199: 1,2,5,7,11,14,17,23,31,37,39,41,42,43,45,47,51,59,63

Section 4.2: Increments, Differentials, and Linear Approximations

page 211: 1,3,10,17,21,24,25,28,31,40,41,49,52

Section 4.3: Increasing and Decreasing Functions and the Mean Value Theorem

page 220: 1,3,7,8,17,21,27,31,33,34,37,40,41,48,49,50,52,54,57,58,61,62a

Section 4.4: The First Derivative Test and Applications

page 229: 1,3,8,11,13,15,17,22,23,27,29,35,40,45,48,53

Section 4.5: Simple Curve Sketching

page 239: 2,4,5,7,9,15,17,25,28,47,49,57

Section 4.6: Higher Derivatives and Concavity

page 253: 1,3,5,6,7,13,18,21,23,25,31,37,39,43,45,65,69,71,73,87, think about 90

Section 4.7: Curve Sketching and Asymptotes

page 265: 1,3,7,8,10,11,13,15,18,24,29,35,42,45,49,51,54

Review for EXAM 2

Go over EXAM2;

Section 5.2: Antiderivatives and Initial Value Problems

page 284: 1,5,7,8,9,18,19,25,28,31,35,37,44,45,47,49,57,59,61,62,68,74

Section 5.3: Elementary Area Computations

page 296: 1,3,6,7,9,11,14,17,19,23,29,31,33,37, think about 43, do 52 and 53

Section 5.4: Riemann Sums and the Integral

page 306: 1,3,7,10,11,13,14,19,23,33,43,45,49

Section 5.5: Evaluation of Integrals

page 316: 2,3,4,9,24,26,29,32,37,39,41,43,47,49,53,55,57,65

Section 5.6: The Fundamental Theorem of Calculus

page 325: 2,3,9,11,13,17,19,20,27,31,33,37,42,47,49,51,55,58,62,67

Section 5.7: Integration by Substitution

page 333: 1,3,4,7,9,14,17,23,31,33,35,45,47,54,55,57,65,67,69,70, Extra Credit 73

Section 5.8: Areas of Plane Regions

page 343: 1,3,5,11,14,17,21,22,27,29,34,47,48,50

Section 5.9: Numerical Integration

page 357: 1,2,7,8,13,15,21,25,27,28, think about 33