MATH 111H

All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces it strictly. This means there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the Honor Code, students are obligated to report any such activities to the Instructor.

Mathematics 111-H03:

HONORS CALCULUS I

FALL 2008

◘ Prerequisite: Admission to this course is based upon results from the entrance examinations.

◘ Course Topics: The topics discussed in this class appear in Chapters 2-6 of the textbook. However, please be aware that you are expected to have proficiency in the topics which appear in Chapter 1. Major topics for this course include:

Ä Introduction to and definition of limits, calculation of limits using limit laws, asymptotes, velocities and tangents.

Ä Definition of derivative, calculation of derivatives of common functions, rules for differentiation, implicit differentiation.

Ä Application of derivatives: related rates, linear approximation, finding extrema, curve sketching, Mean Value Theorem, evaluating limits of indeterminant forms/L'Hospital's Rule, optimization, rootfinding.

Ä Antiderivatives, integration, Fundamental Theorem of Calculus, substitution rule, area between curves, volumes.

◘ Grading Policy: The final grade in this course will be determined as follows:

Each of the three midterm examinations will represent 17% of your grade. The final examination will be worth 32% of your grade. The remaining 17% of your grade will be determined by your homework and quizzes. Please note that the University Drop Date November 3, 2008 deadline will be strictly enforced.

◘ Homework Policy: Calculus plays an important role in a wide variety of disciplines and is itself an interesting subject. Mastery of calculus comes from practice. A minimal set of homework problems from the standard Math 111 syllabus are listed below. Additional problems will be assigned in class to reflect the difference in depth and breadth of topics from a non-honors section. Homework assignments will be completed online at www.mymathlab.com. In order to access the assignments, you will need a student access code. Access codes are included with the purchase of a new book that comes bundled with MyMathLab; codes may also be purchased separately at the campus bookstore or online at www.mymathlab.com. In addition, the course code needed to access the assignments will be given out on the first day of class. In order to obtain additional practice on a topic, you should feel free to work problems other than those assigned. As a standing assignment, you should read the relevant sections of the textbook prior to class.

◘ Attendance: Attendance at and participation in all lectures and recitations is required. If you know in advance that you will be absent for a legitimate reason, please tell me prior to your absence so that appropriate arrangements regarding homework assignments can be made. Tardiness to class is very disruptive of the classroom environment and should be avoided. Please make sure you read and fully understand the Department of Mathematical Sciences Attendance Policy as it DOES apply to this course.. This policy will be strictly enforced. NOTE: Tardiness to class and/or recitation hour counts as a half absence. For additional details, please click here.

◘ MATLAB: MATLAB is an important piece of mathematical software which is widely used. Matlab assignments will be given that are designed to familiarize you with this package as well as to assist you in understanding concepts of calculus. These assignments will be collected at the beginning of class on the due date. Late assignments will NOT be accepted. Early assignments are always welcomed and are appropriate for preplanned absences from class.

◘ Examinations: There will be three midterm examinations and a final examination. The midterm examinations are given on the following Wednesdays at 4:15pm-5:40pm:

The final examination date, time, and location will be determined by the university. Please be certain to read and understand the Department of Mathematical Sciences Examination Policy as it DOES apply to this course.

◘ Makeup Exam Policy: There will be NO makeup exams during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.

◘ Honor Code: The NJIT Honor Code applies to all activities associated with the course, including but not limited to homework, quizzes, examinations, and projects. As an example, when you submit a homework assignment, you are certifying that your paper contains only your work and is not copied from other people or sources

◘ Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.

◘ Cellular Phones: All cellular phones and beepers must be switched off during all class times.

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

Week Dates	Section & Topic		Homework Assignments
1 9/2 - 9/5	2.1:	Rates of Change and Limits	1	p.75:	1,3,21,23,25,27,29,31,33,37
	2.2:	Calculating Limits Using the Limit Laws	2	p.83:	1,3,7,13,15,17,23,29,31,35,39,43,49
	2.4:	One-Sided Limits and Limits at Infinity	3	p.106:	1,3,7,13,15,17,23,29,33,43,47,53,55,57,61
2 9/8 – 9/12	2.5:	Infinite Limits and Vertical Asymptotes	4	p.117:	1,3,5,7,9,11,13,15,17,21,23,27,31,35
	2.6:	Continuity	5	p.129:	1,5,7,9,13,15,17,19,21,25,27,33,35,39
	2.7:	Tangents and Derivatives	6	p.136:	5,7,9,11,13,15,17,19,23,25,27,29,35,41
3 9/15 – 9/19	3.1:	The Derivative as a Function	7	p.152:	1,3,5,9,11,13,17,25,27,29,41
	3.2:	Differentiation Rules for Polynomials, Exponentials, Products and Quotients	8	p.167:	1,3,7,9,11,15,17,21,25,27,29,41,43
	3.3:	The Derivative as a Rate of Change	9	p.177:	1,3,5,7,9,10,13,23,25,28
4 9/22 – 9/26	Å	REVIEW FOR EXAM I ~ 09/24/08	10	Å	Study for EXAM I
	Common Exam 1: Wednesday ~ September 24, 2008
	3.4:	Derivatives of Trigonometric Functions	11	p.186:	1,3,5,7,9,11,13,17,19,23,25,37,41,43
	Å	Go over EXAM 1
	3.5:	The Chain Rule and Parametric Equations	12	p.199:	1,3,5,9,11,15,17,21,23,25,27,29,33,37
5 9/29 – 10/3	3.5:	The Chain Rule & Parametric Equations (cont.)	13	p.199:	39,41,43,45,47,53,55,61,65,67,71,103,107
	3.6:	Implicit Differentiation	14	p.209:	1,3,9,13,15,19,21,25,29,39,43,45,47,55,63
	Å	MATLAB 1		Å	DUE ON 10/9/08
	3.7:	Derivatives of Inverse Functions & Logarithms	15	p.221:	3,13,15,19,29,39,41,51,55,59,63,67,75,79,89,93
6 10/6 -10/10	3.8:	Inverse Trigonometric Functions	16	p.230:	1,7,11,13,19,25,29,39,41,49,53,61,69
	3.9:	Related Rates	17	p.236:	1,3,7,10,11,13,15 & MATLAB 1 is due
	3.9:	Related Rates (cont.)	18	p.236:	17,21,23,27,29,33,35
7 10/13 –10/17	3.10:	Linearization and Differentials	19	p.250:	3,5,11,17,19,23,25,31,41,43,51,55,61,63
	4.1:	Extreme Values of Functions	20	p.272:	1,5,7,15,19,23,25,29,33,39,45, 49,53,55,57
	4.2:	The Mean Value Theorem	21	p.282:	1,3,25,27,31,33,35,37,39,41,43
8 10/20 – 10/24	4.3:	Monotonic Functions & the First Derivative Test	22	p.289:	1,3,5,7,9,11,13,15,17,21,23,31,33,37,39
	4.4:	Concavity and Curve Sketching	23	p.298:	1,5,7,9,11,15,21,25,29
	4.4:	Concavity and Curve Sketching (cont.)	24	p.298:	35,37,39,43,47,51,55,59
9 10/27 – 10/31	Å	REVIEW FOR EXAM II ~ 10/29/08	25	Å	Study for EXAM II
	Common Exam 2: Wednesday ~ October 29, 2008
	4.5:	Applied Optimization Problems	26	p.309:	1,5,7,9,11,12,14
	Å	Go over EXAM 2
	4.5:	Applied Optimization Problems (cont.)	27	p.309:	16,19,27,31,33,43,48
10 11/3 - 11/7	◘ NOVEMBER 3, 2008: (M) LAST DAY TO WITHDRAW FROM THIS COURSE
	4.6:	Indeterminate Forms and L’Hopital’s Rule	28	p.323:	1,5,9,13,15,19,23,29,33,35,39,45,47,53
	4.7:	Newton’s Method	29	p.329:	1,2,3,5
	Å	MATLAB 2		Å	DUE ON 11/14/08
	4.8:	Antiderivatives	30	p.338:	1,7,11,13,17,19,23,25,31,35,39,41,45,47,53
11 11/10 – 11/14	4.8:	Antiderivatives (cont.)	31	p.338:	59,63,65,89,93,99,103,105,121
	5.1:	Estimating with Finite Sums	32	p.360:	1,5,7,9,11,13,14,15,17
	5.2:	Sigma Notation and Limits of Finite Sums	33	p.369:	1,3,5,11,15,17,21,25,31,35,37 & MATLAB 2 is due
12 11/17 – 11/21	Å	REVIEW FOR EXAM III ~ 11/19/08	34	Å	Study for EXAM III
	Common Exam 3: Wednesday ~ NOVEMBER 19, 2008
	5.3:	The Definite Integral	35	p.379:	1,7,9,15,17,21,27,33,39,41,43,47,51,53,55,57,59
	Å	Go over EXAM 3
	5.4:	The Fundamental Theorem of Calculus	36	p.392:	1,5,7,9,11,13,15,19,21,27,29,35,37,41,43,47,53,55
13 11/24 – 11/28	5.5:	Indefinite Integrals and the Substitution Rule	37	p.402:	1,5,7,11,15,17,21.25,33,38,43,47,51, 53,59,65
	5.6:	Substitution and Area Between Curves	38	p.410:	1,3,9,11,17,25,27,35,39,41,47,61,63,67,73,81
	◘ NOVEMBER 25-26, 2008: (T-W) Classes Follow a Thursday and Friday Schedule ◘ NOVEMBER 27-28, 2008: (R-F) Thanksgiving Recess ~ No Classes Scheduled
14 12/1 – 12/5	6.1:	Volumes by Slicing and Rotation About an Axis	39	p.434:	7,9,15,19,23,25,31
	6.1:	Vol. by Slicing & Rotation About an Axis (cont.)	40	p.434:	37,39,41,43,45,47,49,51
	6.2:	Volumes by Cylindrical Shells	41	p.443:	3,7,9,11,15,17,19,25,27,29,31
15 12/8 – 12/10	Å	REVIEW FOR FINAL EXAM	42	Å	Study for FINAL EXAM
Finals	FINAL EXAM WEEK: December 15-19, 2008

Å Homework + Quizzes:		17%
Å Midterm Exams:		17% each
Å Final Exam:		32%

September 1, 2008	M	Labor Day ~ No Classes Scheduled
November 3, 2008	M	Last Day to Withdraw from Classes
November 25, 2008	T	Classes Follow a Thursday Schedule
November 26, 2008	W	Classes Follow a Friday Schedule
November 27-28, 2008	R-F	Thanksgiving Recess ~ No Classes Scheduled

Exam 1	September 24, 2008	4:15 – 5:40pm
Exam 2	October 29, 2008	4:15 – 5:40pm
Exam 3	November 19, 2008	4:15 – 5:40pm