MATH 150 syllabus Fall 2021 PDF

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Summary

The syllabus for fall 2021 is for those who need to look at the topics that will be talked about....

Description

Calculus I MATH 15000 08 Fall 2021 4.0 Hours, 4.0 Credits Department of Mathematics and Statistics Hunter College Instructor: Professor Lev Shneerson, Department of Mathematics and Statistics. O¢ce Room : Email :

903 HE, phone (212) 650-3633.

[email protected]

Time: Tuesday, Friday. 9:10-11:00 AM. Online lectures via Zoom and in-class exams.

O¢ce hours: Friday, 11:10 AM-12:40 PM (on Zoom). Tuesday, 11:10 AM-12:00 (by appointment)

Course Description:

This is a one semester introduction to di¤er-

ential and integral calculus, suitable for all students majoring in science or mathematics, or any other course of study requiring calculus.

Expected Learning Outcomes:

The student will learn about functions

of one variable, including the concepts of limit, continuity and the derivative. The student will be able to compute derivatives of various functions, beginning with polynomial, rational, and trigonometric functions. The student will learn the Mean Value Theorem and the Intermediate Value Theorem. These concepts will be applied by the student to various problems involving linear approximation, related rates, curve sketching and optimization. The student will learn about antidi¤erentiation and the Riemann integral, and will be able to compute Riemann integrals of some simple functions using the Fundamental Theorem of Calculus. Finally, the student will apply these techniques to compute areas and volumes.

Text:

Essential Calculus, 2nd Edition. By: James Stewart, Cengage Learning. ISBN-13: 978-1-133-11229-7. Here is a link for an e-book version of the text: https://www.cengage.com/c/essential-calculus-2e-stewart/9781133112297PF/ We will use the Lumen Online Homework Manager (Lumen OHM) for grading your online Homework Assignments.

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Lumen account (which cost $25) you need to contact Lumen Learning (ohm.lumenlearning.com) and get a login using your To obtain a

Course ID and the Class Key.

Course ID: 56278 Class key for self-enrollment: 13213455 Online Lectures.

You will have Zoom lectures on Tuesdays and Fridays

from 9:10 AM- 10 :50 AM. Extensive lecture notes will be posted in the Course Materials Section on Blackboard with some being recorded with my commentary.

Topics to be covered: Chapter 1

1.3 The Limit of a Function 1.4 Calculating Limits 1.5 Continuity 1.6 Limits Involving In…nity.

Chapter 2. 2.1 Derivatives and Rates of Change 2.2 The Derivative as a Function 2.3 Basic Di¤erentiation Formulas 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Implicit Di¤erentiation 2.7 Related Rates 2.8 Linear Approximation and Di¤erentials 3.1 Maximum and Minimum Values 3.2. The Mean Value Theorem 3.3 Derivatives and Shapes of Graphs 2

3.4. Curve Sketching 3.5 Optimization Problems 3.7 Antiderivatives Chapter 4

4.1 Areas and Distances 4.2 The De…nite Integrals 4.3 Evaluating De…nite Integrals 4.4 The Fundamental Theorem of Calculus 4.5 The Substitution Rule. Chapter 7

7.1 Area Between Curves 7.2 Volumes (if time allows) 7.3 Volumes by Cylindrical Shells (if time allows) Policy on Homeworks and Exams.

Homework will be assigned on a regular basis and will count for 10% of your grade. We will use Lumen as an online homework system.

Homework will consist of two types of assignments: (1) Problems from the textbook which will not be graded but very important for understanding the course. Some of the problems on the exams will be modeled on these problems. (2) Web assignments which will be graded by the Lumen system.

It is expected that you will spend a lot of time working on the problem sets. In order to do homework e¤ectively, you need to do the homework problems before they are examined (ideally, no later than a week after the lecture). The deadline for completing the online homework will be no later

than 7-10 days after the exam testing the corresponding topics. The request for extending the homework will not be accepted after that date.

In order to use your homework edfectively, you must do the homework problems before they are examined. 3

Your Lumen account will be expire at the end of the term. Class Exams and Final Exam. You will have three in-class exams and the Uniform Math Department Final Exam. The dates of the in-class exams will be announced at least 8-10 days in advance. The in-class uniform …nal exam will be created by the Coordinator of the course. The …nal will be given on the date and time scheduled by Hunter College. The class exams and …nal will count for 90% of your grade. The …nal will count as two class exams for a total 5 exams scores. Your lowest exam grade will be dropped. (If the …nal is the lowest grade it will be counted as one exam.) If you miss an exam, that will be count as your lowest grade, so it will be dropped. The sum of the top 4 exam scores is your total exam score. If you miss the …nal exam and have D or F average in the course (without dropping any grade), then you fail the course. If you miss two exams prior to the …nal, then your status in the course will be in serious jeopardy. You will not need to prove any theorems during the exams. However the proofs or their outlines are very important for understanding the basic ideas of the course and the solution methods of many problems. THERE ARE NO MAKEUP FOR CLASS EXAMS AND FINAL EXAM

In order to receive an INCOMPLETE you must have a justi…ed absence from the …nal exam and have taken at least two in-class exams with an average of 70 or more. If you stop attending the course and do not withdraw, you will receive a grade of WU. CALCULATORS. No graphing calculators are allowed.

Only basic scienti…c calculators (without the ability to evaluate limits, derivatives, integrals, factor polynomials, solve algebraic equations and etc) are allowed on class exams and on the …nal examination. All electronic devices must be turned o¤.

Academic Integrity: Hunter Col lege regards acts of academic dishonesty (e.g., plagiarism, cheating on examinations, obtaining unfair advantage, and falsi…cation of records and o¢cial documents) as serious o¤enses against the values of intellectual honesty. The College is committed to enforcing the CUNY Policy on Academic Integrity and will pursue cases of academic dishonesty according to the Hunter College Academic Integrity Procedures.

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GOOD LUCK!

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