Math 220, Section 61, Winter 2014
Differential Calculus of One Variable Functions
Instructor: Sara Lapan
Email: slapan@math.northwestern.edu
Course: MWF 12-12:50 pm in Seabury 260
Office Hours:
in Locy 201
· Mon. 5-6 pm; Wed. 2-3 pm; Thurs. 4-5 pm
· By Appointment with Instructor
Teaching Assistants:
A. Kevin Schwarz
KevinSchwarz2014@u.northwestern.edu
B. Cassandra Hall
calyha@math.northwestern.edu
Discussion: TH 12-12:50 pm in
A. Annenberg G29 with Kevin Schwarz or
B. Tech L150 with Cassandra Hall
TA Office Hours: T.B.A.
As a student in this class, you are responsible for the information in this handout along with
any modifications that may be announced in class during the quarter.
Textbook:
James Stewart, Essential Calculus: Early Transcendentals, Volume 1, Second edition. We
will cover Chapters 1 through 4. Please make sure to buy the textbook (or ebook) bundled
with WebAssign, an online homework system. The book and WebAssign can be ordered
online at: www.math.northwestern.edu/courses/textbooks.html.
For Class Every Day:
1. Read the appropriate textbook section(s) before class.
2. Bring paper and writing utensils.
Classroom Expectations: In order to optimize the cooperative learning environment in the classroom, please adhere to the following:
• Be prepared to begin class at 12:00 pm.
• Turn cell phones and other electronic devices to silent mode.
• Do not leave the classroom early without the instructor’s permission.
• Focus on the material at hand and actively participate in the class. (Do not use electronic
devices, read newspapers, have unrelated conversations, etc.)
Resources Outside Class:
1. Sara’s and TA’s office hours
2. Peer Tutoring:
3. GSW:
math.northwestern.edu/∼slapan/mathteaching.html
math.northwestern.edu/undergraduate/tutoring.html
northwestern.edu/searle/programs-events/undergrad/gsw
Gateway Science Workshop program (GSW): Students who participate in the optional extracurricular program meet weekly in small groups with a trained peer facilitator to tackle challenging and conceptually based calculus exercises.
Students with Disabilities: Any student with a documented disability needing accommodations
should speak to the Office of Services for Students with Disabilities (SSD; 847-467-5530) and
to the instructor as early as possible in the quarter. All discussions will remain confidential.
Grading Policy:
Final grades will be assigned across all sections and determined using the following weights:
WebAssign
Worksheets
Exam 1
Exam 2
Final Exam
40 points
48 points
100 points
100 points
200 points
(Due Wednesdays, 11:59 pm)
(6 weekly worksheets, 8 points each)
(Monday, February 3, 2014, 6-7 pm)
(Monday, March 3, 2014, 6-7 pm )
(Monday, March 17, 2013, 12-2 pm)
We guarantee at least an A- to students with a combined final course percentage of 90% or
higher, at least a B- to students with a percentage of 80% or higher, at least a C- to students
with a percentage of 70% or higher, and at least a D- to students with a percentage of 60%
or higher. However, the grading scale may be more lenient than this.
Structure of Classes and Assignments:
Weekly homework is posted on Blackboard under Common Course Documents on the All
Sections Math 220 site. Please check the website for updates frequently. Homework will
not be collected. However, homework will be the basis for all other assignments. Thursdays
discussion sections are reserved for working in small groups through problems on worksheets.
WebAssign assignments are due most weeks on Wednesdays, 11:59pm. WebAssign might
be busy during high traffic hours, thus please be advised to finish your WebAssign assignment
well before the deadline.
Worksheets are worked through during the weekly discussion sections. Students may work
in pairs. The discussion section will be split into two segments. First a brief review from the
TA followed by working through the worksheets.
Exam dates are fixed. Travel is not a sufficient excuse to reschedule the date or time of
an exam. If you have a time conflict with any of the exams, please let the instructor know
by Friday, January 17. When exams are returned, all grading questions should be made
before leaving class or your exam must be returned to the instructor to review it in office
hours. Regrade requests must be submitted in written form by the end of the class following
the class in which the exam was returned.
Academic Integrity: All cases of suspected dishonesty will be immediately referred to the Associate Dean for Undergraduate Studies. Penalties can be quite severe. Don’t do it! Academic
dishonesty on an assignment or exam will result in an immediate score of 0. Northwestern defines academic dishonesty as cheating, plagiarism, fabrication, obtaining an unfair
advantage, aiding and abetting academic dishonesty, falsifying records and official documents,
and obtaining unauthorized access to computerized records; details of these offenses are in
the Undergraduate Catalog, the Student Handbook, and in the Academic Integrity guide.
More detailed course information is on the All Sections Math 220 Blackboard site.
Course Schedule for Math 220, Winter 2014
Week
Dates
January
1
2
3
4
February
5
6
7
8
March
9
10
8
9
10
13
15
16
17
20
22
23
24
27
29
30
31
3
3
5
6
7
10
12
13
14
17
19
20
21
24
26
27
28
3
3
5
6
7
10
12
14
17
Topics
Functions & Their Representations
The Limit of a Function
Calculating Limits
Continuity
Derivatives & Rates of Change
. . . . . . . . . . . Discussion Session: Worksheet 1 . . . . . . . . . . .
The Derivative as a Function
No Class: Martin Luther King, Junior Day
Basic Differentiation Formulas, Product & Quotient Rules
. . . . . . . . . . . Discussion Session: Worksheet 2 . . . . . . . . . . .
The Chain Rule
Implicit Differentiation
Related Rates
. . . . . . . . . . . Discussion Session: Worksheet 3 . . . . . . . . . . .
Review for Exam 1
Linear Approximations & Differentials
Exam 1
Exponential Functions, Inverse Functions & Logarithms
. . . . . . . . . Discussion Session: Go over Exam 1 . . . . . . . . .
Derivatives of Logarithmic & Exponential Functions
Logarithmic Differentiation
Trigonometry & Inverse Trigonometric Functions
. . . . . . . . . . . Discussion Session: Worksheet 4 . . . . . . . . . . .
Limits Involving Infinity, LHôpital’s Rule
Indeterminate Forms & LHôpital’s Rule
Maximum & Minimum Values
. . . . . . . . . . . Discussion Session: Worksheet 5 . . . . . . . . . . .
The Mean Value Theorem
Derivatives & the Shape of Graphs
Curve Sketching
. . . . . . . . . . . Discussion Session: Worksheet 6 . . . . . . . . . . .
Review for Exam 2
Optimization Problems
Exam 2
Optimization Problems
. . . . . . . . . Discussion Session: Go over Exam 2 . . . . . . . . .
Newton’s Method
Antiderivatives
WCAS Reading Period: Review for Final Exam
WCAS Reading Period: Review for Final Exam
Final Exam
Sections
1.1, 1.2
1.2, 1.3
1.4
1.5
2.1
2.2
2.3, 2.4
2.4, 2.5
2.6
2.7
2.8
6-7 pm
3.1, 3.2
3.2, 3.3
3.3
App.A,3.5
1.6, 3.7
3.7
4.1
4.2
4.3
4.4
4.5
6-7 pm
4.5
4.6
4.7
12-2 pm