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 2007

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; in calculating this quantity, I will drop your one lowest homework or quiz score from throughout the semester.

Please note that the University Drop Date November 5, 2007 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 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 may be collected from time to time. 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 be certain to read and understand the Department of Mathematical Sciences Attendance Policy as it does apply to this course. This policy will be strictly enforced. NOTE: After three absences from class and/or the recitation hour, your name will be submitted to the Registrar with a request to have you withdrawn from the course. 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. 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. Please note that calculators, cellular phones, beepers, and other electronic devices may not be used during any exam.

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.

Course Topics: The topics discussed in this class appear in Chapters 1-5 of the textbook. Major topics for this course include:

Introduction To and Definition of Limits, Calculation of Limits Using Limit Laws, Asymptotes, Velocities and Tangents

Definition of Derivative, Calculation of Derivatives of Common Functions, Rules for Differentiation, Implicit Differentiation

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

Antiderivatives, Integration, Fundamental Theorem of Calculus, Substitution Rule

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.

Course Outline and Homework Assignments:

Section & Topic						Homework Assignments:
Week 1 (9/4 - 9/7)
Read A Preview of Calculus and Chapter 1, except Section 1.4
1.1:		Four Ways to Represent a Function				1	p.22:	2,3,5,6,9,15,22,24,26,31,33,34,51
1.2:		Mathematical Models: A Catalog of Essential Functions				1	p.35:	1,2,4,11,13,15
1.3:		New Functions from Old Functions				2	p.46:	2,4,10,12,13,15,23,32,35,36
1.5:		Exponential Functions				2	p.62:	2,7,8,9,10,11,13,15,17,25
1.6:		Inverse Functions and Logarithms				3	p.74:	1,5,6,9,10,17,21,23,24,27,34,35,37,40,41,47,49, 50,63,65
Week 2 (9/10 – 9/14)
2.2:		The Limit of a Function				4	p.102:	4,8,10,12,13,15,20,24,26,30,32
2.3:		Calculating limits Using Limit Laws				5	p.111:	1,2,4,5,8,11,13,16,19,22,25,37,40
2.5:		Continuity				6	p.133:	3,6,7,10,11,13,14,15,17,21,23,31,32,35,38,42
Week 3 (9/17 – 9/21)
2.6:		Limits at Infinity; Horizontal Asymptotes				7	p.146:	3,6,11,12,14,15,17,20,23,27,37,40
2.7:		Tangents, Velocities, and Other Rates of Change				8	p.155:	2,3,5,7,8,9,11,17,18,20,21,22,27,28
2.8:		Derivatives				9	p.163:	3,4,6,7,9,13,14,16,19,21,23,25,29
Week 4 (9/24 – 9/28)
		REVIEW FOR EXAM I ~ 09/26/07				10		Study for EXAM I
◄			COMMON EXAM I:		Wednesday~ September 26, 2007				►
2.9:		The Derivative as a Function				11	p.173:	1,4,5,8,14,22,23,25,27,30,35,41
		GO OVER EXAM I
3.1:		Derivatives of Polynomials and Exponential Functions				12	p.191:	3,5,6,8,9,10,13,16,17,22,23,27,33,39,45,51,53
Week 5 (10/1 – 10/5)
3.2:		The Product and Quotient Rules				13	p.197:	1,3,5,6,8,9,12,13,16,18,19,21,25,31
3.3:		Rates of Change in Natural & Social Sciences				14	p.208:	1,5,8,10,13,15,18,20,26,29,30
3.4:		Derivatives of Trigonometric Functions				15	p.216:	1,2,3,5,6,8,9,10,12,13,14,21,29,31,35,36,38
		MATLAB 1						DUE ON 10/11/07
Week 6 (10/8 – 10/12)
3.5:		The Chain Rule				16	p.224:	1,2,3,4,6,8,9,11,13,18,21,23,24,28,34,38,43
3.5:		The Chain Rule (cont.)				17	p.225:	51,53,54,63,64
3.7		Higher Derivatives				17	p.240:	1,3,5,6,8,9,11,14,16,20,23,29,35,36,43,48 and MATLAB 1 is due
3.6:		Implicit Differentiation				18	p.233:	1,4,5,8,10,11,12,15,19,21,24,25,26,41,43,55,69
Week 7 (10/15 – 10/19)
3.8:		Derivatives of Logarithmic Functions				19	p.249:	2,4,5,7,10,11,13,14,21,31,35,39
3.9:		Hyperbolic Functions				20	p.254:	1,3,4,15,30,32,33,34
3.10:		Related Rates				21	p.260:	1,2,5,6,8,10,11,12,13,16,17,19
Week 8 (10/22 – 10/26)
		REVIEW FOR EXAM II ~ 10/24/07				22		Study for EXAM II
◄			COMMON EXAM II:		Wednesday~ October 24, 2007				►
3.10:		Related Rates (cont.)				23	p.261:	21,22,23,24,26,31,32,33
		GO OVER EXAM II
3.11:		Linear Approximations & Differentials				24	p.267:	2,5,6,7,8,15,16,18,21,23,24,28,30,33,35,41,42,43
Week 9 (10/29 – 11/2)
4.1:		Maximum and Minimum Values				25	p.286:	3,6,7,15,18,19,23,25,29,32,34,37,40,47,50,53
4.2:		The Mean Value Theorem				26	p.295:	1,2,3,4,5,7,8,11,12,15,16,17,18
4.3:		How Derivatives Affect the Shape of a Graph				27	p.304:	1,3,5,9,12,14,15,17,21,22,26
Week 10 (11/5 – 11/9)
	NOVEMBER 5, 2007:			(M)	LAST DAY TO WITHDRAW FROM THIS COURSE
4.3:		How Derivatives Affect the Shape of a Graph (cont.)				28	p.305:	32,33,35,38,40,43,47
4.4:		Indeterminate Forms and L'Hospital's Rule				29	p.313 -314:	2,5,6,8,9,11,13,16,17,19,24,25,26
4.4:		Indeterminate Forms and L'Hospital's Rule (cont.)				30	p.314:	29,31,33,35,41,45,48,51,53,54,57,61,62
Week 11 (11/12 – 11/16)
4.5:		Summary of Curve Sketching				31	p.323:	2,5,6,9,12,14,19,23,29,37,49
4.7:		Optimization Problems				32	p.336:	2,5,8,9,10,12,15,17,19
4.7:		Optimization Problems (cont.)				33	p.336:	22,26,28,30,33,40
Week 12 (11/19 – 11/23)
	NOVEMBER 20-21, 2007: NOVEMBER 22-23, 2007:			(T-W) (R-F)	Classes Follow a Thursday and Friday Schedule Thanksgiving Recess ~ No Classes Scheduled
4.9:		Newton's Method				34	p.351:	1,5,6,8,11,12,14,17,20,21,22
4.10:		Antiderivatives				35	p.358:	2,3,6,8,11,12,17,19,21,22,25,28,30,47
		MATLAB 2						DUE ON 11/30/07
Week 13 (11/26 – 11/30)
		REVIEW FOR EXAM III ~ 11/28/07				36		Study for EXAM III
◄			COMMON EXAM III:		Wednesday~ November 28, 2007				►
5.1:		Areas and Distances				37	p.378:	1,3,4,11,15,17,18,19,21
		GO OVER EXAM III
5.2:		The Definite Integral				38	p.390:	1,3,5,8,9,17,18,23,25,33,35,36,39,50 and MATLAB 2 is due
Week 14 (12/3 – 12/7)
5.3:		Fundamental Theorem of Calculus				39	p.402:	5,8,11,13,17,21,24,26,28,31,37,38,48,49
5.4:		Indefinite Integrals and the Net Change Theorem				40	p.411:	2,5,7,9,10,12,17,19,26,29,31,33,35,39
5.5:		The Substitution Rule				41	p.420:	3,4,6,7,13,16,19,21,26,28,35,49,50,56,57
Week 15 (12/10 – 12/12)
		REVIEW FOR FINAL EXAM						Study for FINAL
Final Exam Week
FINAL EXAM WEEK: December 14-20, 2007

Homework +Quizzes:		17%
3 Common Exams:		17% each
Final Exam:		32%

A	87-100	C	60-66
B+	81-86	D	57-59
B	74-80	F	0-56
C+	67-73

September 3	M	Labor Day ~ No Classes Scheduled
November 5	M	Last Day to Withdraw from Classes
November 20	T	Classes Follow a Thursday Schedule
November 21	W	Classes Follow a Friday Schedule
November 22-23	R-F	Thanksgiving Recess ~ No Classes Scheduled

Exam 1	September 26, 2007
Exam 2	October 24, 2007
Exam 3	November 28, 2007