Applied Calculus, Fall 2018 

 
Instructor: Andrew Obus
email: Andrew.Obus [at] baruch.cuny.edu
office: VC 6-223
phone: 646-312-4008
website: http://faculty.baruch.cuny.edu/aobus/MTH2205f18.html

Lectures

MW 5:40-7:20, VC 10-130.  Please ask questions if anything in lecture is unclear. Lectures will run the entire 100 minutes (although they will be broken up for group activities, calculator exercises, etc.).  I reserve the right to take attendance and to penalize those who do not show up.  I will certainly take attendance the first few classes in order to learn your names.  Furthermore, quizzes will take place at the beginning of class (see below), so it is imperative that you show up on time!

CELL PHONES MAY NOT BE TAKEN OUT IN CLASS --- I DO NOT WANT TO SEE THEM!  If you know that you are expecting an important call (relative in the hospital, etc.), you must let me know ahead of time.

This course makes heavy use of the TI-89 calculator.  You should bring this calculator to class every day!  If you do not own one, you can sign up for a lottery to borrow one from the library.  Information is here.




Email/Announcements

Announcements will be made on Blackboard, and will be emailed to your Baruch email acounts.  I expect you to check your email account on a regular basis, as it is the primary way I will comunicate with you.


Textbook

Applied Calculus (for Business, Economics, and Finance), 2nd ed., by Warren B. Gordon, Walter O. Wang, and April Allen Materowski.  You should be familiar with this book from MTH 2003.


Content

This is a course in calculus, with an emphasis on applications to business and economics.  After a quick review of the differential calculus from MTH 2003, the course will have three main components: techniques and applications of differentiation, exponential and logarithmic functions, and basic integration.  By the end of this course, you should be able to solve optimization problems using derivatives, including when these problems involve logarithmic functions.  You should also be able to compute a variety of antiderivatives and apply them to problems in economics and business.  You should be able to solve these types of problems both by hand and by using the graphical and algebraic capabilities of the TI-89 calculator.

As you know by now, math is very cumulative.  So if you fall too far behind in this course, it will be extremely difficult to catch up.  Please see me promptly if things stop making sense!

An "official" departmental syllabus (including a list of relevant problems from the text) is available here.

Prerequisite: MTH 2003 with a grade of C- or better.  If you do not have *exactly* this background, you should not be enrolled in the class -- no exceptions! 


Office Hours

Mondays 4:35 - 5:35, Wednesdays 1:30 - 2:30, VC 6-223.  If these times do not work for you, please make an appointment with me.  I am also teaching MTH 4500 this semester.  You are welcome to come to either office hour, but MTH 4500 students will have priority during the Monday office hour.  MTH 2205 students will have priority during the Wednesday office hour.

NOTE:  On Wednesday 8/29, the office hour will be from 4:35 - 5:35, not from 1:30 - 2:30.


Homework and Quizzes

Homework will be assigned almost every week on MyMathLab, available to you through Blackboard.  Some questions may require a calculator.  For the MyMathLab problems, you have as many attempts as you need to get the problems correct.  There a a lot of problems on the MyMathLab assignments.  To make up for this, answering 80% of the questions correctly will count for full (100%) credit.  Likewise, answering 70% of the questions correctly will count for 70/80 = 87.5% credit, etc.  There is no extra credit for answering more than 80% of the questions correctly (i.e., your score is capped at 100%).

There will be a short (10-15 minutes) in-class quiz most Wednesdays inspired by (or drawn directly from) the homework, given at the beginning of class.  This is to ensure that you are actually doing and understanding the homework.  The quiz ends at the same time for everyone, regardless of when you show up!

You are encouraged to discuss homework with your classmates, but you must do the actual MyMathLab problems on your own.  There are no make up quizzes, but your lowest two quiz grades will be dropped.
 

Exams

Midterms will be in class on 10/3, 10/31, and 11/28 (all Wednesdays).  If you have a conflict with one of these days, you must let me know now.  If you miss one midterm for a valid reason, your overall midterm grade will be the average of your other two midterms.  A reason that you know about now, but do not inform me of until close to the midterm, is not a valid reason.  If you miss two midterms, it will not be possible for you to pass the class. 

The withdrawal deadline is 11/6, so I will put the grades for the second midterm on Blackboard before then.

The final exam is on Tuesday 12/18, from 6:00PM - 8:00PM. It is a common exam for all evening MTH 2205 sections, and will consist of 25 non-calculator multiple choice questions and 10 calculator multiple choice questions.  You must show your (correct) work to get credit for a correct answer on the final!  You will earn 3 points for every correct answer, with final grade capped at 100 (so if you get 34 or 35 questions right, your grade will be 100).

You must score at least 50 (17 questions out of 35) on the final to pass the class.  If your score is lower than this, your grade in the course will be an F, even if your overall average would otherwise be sufficient to pass.  This is departmental policy and will not be changed.  Please do not ask.


Final Course Grades

8% Quizzes
8% MyMathLab homework
17% Each midterm exam
33% Final Exam

Grading will be based on the Baruch grading scale.  It is possible for exceptional class participation to be factored into your numerical grade in borderline cases. 


Academic Honesty

Any cheating on exams, quizzes, or homework will result in a grade of 0 on the assignment involved.  A second instance of cheating will result in automatic failure of the class.  Refer here for more information on Academic Honesty.


Extra Help

Videos of explanations of course concepts are available here.

Sample final exam questions are available here.

The Student Academic Consulting Center (SACC) provides free tutoring for MTH 2205 by appointment.  For more information, click here.


Disabilites

All students with special needs requiring accommodations should present the appropriate paperwork from Student Disability Services. It is the student's responsibility to present this paperwork in a timely fashion and follow up with the instructor about the accommodations being offered. Accommodations for test-taking (e.g., extended time) should be arranged at least 5 business days before an exam.



Schedule (topics subject to change)

Class #
Date
Topics
Book Sections (approximate)
Remarks
1
8/27
Review of Differentiation
Ch. 2

2
8/29
Extrema of Functions of a Single Variable
3.1

3
9/5
First Derivative Test
3.2
Quiz 1, MML 1 Due
4
9/12
Concavity and the Second Derivative Test
3.3
Quiz 2, MML 2 Due
5
9/17
Applications: Geometric Optimization
3.4
Withdrawal gives W grade starting today.
6
9/24
Applications: Business and Economic Optimization
3.5

7
9/26
Linearization and Differentials
3.6
Quiz 3, MML 3 Due
8
10/1
Inverse Functions
4.1

9
10/3
MIDTERM 1


10
10/10
Exponential Functions
4.2
Quiz 4, MML 4 Due
11
10/15
e
4.3

12
10/17
Derivatives of Exponential Functions
4.4
Quiz 5, MML 5 Due
13
10/22
Logarithmic Functions
4.5

14
10/24
Properties of Logarithmic Functions
4.6
Quiz 6, MML 6 Due
15
10/29
Applications of Exponentials and Logs
4.7

16
10/31
MIDTERM 2


17
11/5
Antiderivatives
5.1
Last class before withdrawal deadline.
18
11/7
Applications of Antiderivatives
5.2
Quiz 7, MML 7 Due
19
11/12
Substitution
5.3

20
11/14
Approximation of Areas
5.4
Quiz 8, MML 8 Due
21
11/19
Sigma Notation and Area
5.5

22
11/21
Review, Catch-up
Ch. 5
MML 9 Due
23
11/26
Definite Integrals
5.6

24
11/28
MIDTERM 3


25
12/3
Substitution
5.6 - 5.7

26
12/5
Applications of Integration
5.7 - 5.8
Quiz 9, MML 10 Due
27
12/10
Applications of Integration
5.8

28
12/12
Review for Final Exam Ch. 3, 4, 5
Quiz 10, MML 11 Due