penn

 
University of Pennsylvania

Math 103 Introduction to Calculus Fall 2010

 
Professor :  Ryan Blair
Email : ryblair@math.upenn.edu
Office : DRL 4N59
Office Hours : Wednesday 5-6 pm and Friday 10-11 am

Course objective: To understand and apply the basic concepts found in an introductory calculus course, namely limits, differentiation, and integration.   

Class:   Lecture will meet twice a week on Tuesdays and Thursdays from 1:30-3pm.  Students will also be required to attend a 50 minute recitation once weekly.  Recitation will be a question and answer session run by a teaching assistant.  Attendance in recitation is mandatory, you will take a weekly quiz in recitation and there will be no make-up quizzes. 

Classroom Decorum: Cell phones may not be used during class (no texting) and should be silent.  Laptops may not be used for anything other than taking notes.  It is important that you refrain from excessive talking during lecture as a courtesy to your fellow students.  Students will receive Course Problem Notices (CPNs) for poor attendance, poor test grades, poor homework or quiz grades, or poor behavior in lecture.

Course Webpage : http://www.math.upenn.edu/~ryblair/Math 103/index.html
Blackboard will be used as a grade server so that students can always know their standing in the course.  There will be a lecture blackboard site (for exam grades) and a recitation blackboard site (for hw and quiz grades).

Text:  Calculus, 6th Ed. James Stewart, Thomson - Brooks/Cole   ISBN-13: 978-0-495-01160-6

 

It can be bought in the University bookstore for the relatively low price of $112 (this same text is used in Math 104 and Math 114).

Don’t buy an older version of the text because the homework problems will be numbered differently and some of them will be missing from the older versions.

There are alternative ways to acquire the text:

1. Rent the textbook from the bookstore (do it early, they will go fast)
2. Get the book used online through one of amazon.com's resellers
3. Buy the international version the same way
4. Get the online version of chapters you need (2-5, 7) for $10 each through cengagebrain.com (you must have a computer to access it and after 180 days access to it runs out.



Homework:  10% of your final grade.

Homework must be stapled, with the name and recitation time listed in the top right hand corner of the first page of the assignment. Failure to staple or label your assignment correctly will result in the loss of 2/10 points on the assignment! Homework will be assigned every lecture and will be collected in lecture exactly one week after they are assigned. Four problems off of each homework assignment will be “collected problems.” These problems (and only these problems) will be collected and scored to determine your homework grade.  Although only 4 problems off of every assignment will be graded, it is a very good idea to complete the entire assignment. Any homework turned in after 5:00 pm the day it is due will be considered late and will receive no credit.   The homework will be graded but the worst two scores will be dropped (will not be used in calculating your final homework grade). 

 
Quizzes: 10% of your final grade.  
You will have weekly quizzes during the last 10-15 minutes of recitation over homework problems that were turned in the previous week.  Think of the quizzes as mini-exams.  The lowest quiz score will be dropped.  There will be no make-up quizzes given.

Exams: 80 % of your final grade. 
There will be two closed book in-class midterm exams (25% each).  You are not allowed to use a calculator during the midterm and final exams but you can prepare and use one 8.5” by 11” sheet of paper (both sides) with handwritten notes of your choice.  The final exam will be cumulative (covers all material), common (all 103 students take the same exam) and take place on Friday December 17th from 9-11 am.  It will count for 30 % of your final grade.  Since the exams are given in class there will be absolutely no make-up exams. 
The final exam is used to set the curve at the end of the course, it determines the grade distribution.  For example, after grading the final exam the Math 103 professors get together and decide what grade is considered an A, B, C, D, or F and then we tally the performance of each class to determine the distribution of each grade.  Say for instance the distribution of grades for our class on the final is 32% A, 38% B, 25% C, 4% D and 1% F.  This then becomes the our course grade distribution, all students on our course will be ranked from highest to lowest and the top 32% will be given some form of an A, the next 38% will be given some form of a B, and so on.  No curve occurs until the end of the course so each midterm isn’t curved.  I will give you an idea of your ranking after each midterm so that you can get a feel for where you stand in the course.

Grading Policies and Clerical Errors:

All judgments concerning grading are final, we will not "discuss" grades. Occasionally graders might make clerical errors. These may include a grade being incorrectly entered into Blackboard, or the points on an exam being incorrectly added together. It is your responsibility to come to recitation so that you get your written work back in a timely manner. It is also your responsibility to check your work for clerical errors and to check Blackboard to ensure that grades are recorded properly. If you find a clerical error, please bring it to our attention right away by emailing Professor Blair and your TA. You must bring clerical errors to our attention within 3 weeks (21 days) of the date an assignment is returned. After this time, no changes will be considered.

ADA Compliance : The Office of Student Disabilities Service (SDS) is part of the Weingarten Learning Resources Center.  It provides accommodated exams and assistive technology (along with many other services) to students that self-identify in compliance with Section 504 of the Rehabilitation Act and the Americans with Disabilities Act.  Please see their website
( http://www.vpul.upenn.edu/lrc/sds/current_students.php ) for more information.

 

Code of Academic Integrity :  The following is from the University’s website on academic integrity
“Since the University is an academic community, its fundamental purpose is the pursuit of knowledge. Essential to the success of this educational mission is a commitment to the principles of academic integrity. Every member of the University community is responsible for upholding the highest standards of honesty at all times. Students, as members of the community, are also responsible for adhering to the principles and spirit of the following Code of Academic Integrity found here http://www.upenn.edu/academicintegrity/ai_codeofacademicintegrity.html  
If a student is unsure whether his action(s) constitute a violation of the Code of Academic Integrity, then it is that student’s responsibility to consult with the instructor to clarify any ambiguities.”

Topics

Chapter 2 : Limits

2.1

The Tangent and Velocity Problem

2.2

The Limit of a Function

2.3

Calculating Limits Using Limit Laws

2.5

Continuity

Chapter 3 : Derivatives

3.1

Derivatives and Rates of Change

3.2

The Derivative as a Function

3.3

Differentiation Formulas

3.4

Derivatives of Trigonometric Functions

3.5

The Chain Rule

3.6

Implicit Differentiation

3.7

Rates of Change in the Natural Sciences

3.8

Related Rates

3.9

Linear Approximations and Differentials

Chapter 4 : Applications of Differentiation

4.1

Maximum and Minimum Values

4.2

The Mean Value Theorem

4.3

How Derivatives Affect the Shape of the Graph

4.4

Limits at Infinity

4.5

Curve Sketching

4.7

Optimization

4.9

Anti-Derivatives

Chapter 5 : Integrals

5.1

Areas and Distances

5.2

The Definite Integral

5.3

The Fundamental Theorem of Calculus

5.4

Indefinite Integrals and Net Change

5.5

The Substitution Rule

Chapter 7 : Inverse Functions

7.1

Inverse Functions

7.2

Exponential Functions and their Derivatives

7.3

Logarithmic Functions

7.4

Derivatives of Logarithmic Functions

7.5

Exponential Growth and Decay

7.6

Inverse Trigonometric Functions

7.7

Hyperbolic Functions

7.8

Indeterminate Forms and L'Hospital's Rule