Calculus-ALL SECTIONS (WI23)

Quick links:

Gradescope for exams - https://www.gradescope.com/courses/505835

Assignments: Assignments

Section-specific pages:  MintzSchwarze, Petok

Mid-term survey: Google Form

General Information for Math 3: Calculus

Winter 2023

Content

(From the official ORC/Catalog) This course is an introduction to single variable calculus aimed at students who have seen some calculus before, either before matriculation or in MATH 1.  MATH 3 begins by revisiting the core topics in MATH 1 - convergence, limits, and derivatives - in greater depth before moving to applications of differentiation such as related rates, finding extreme values, and optimization.  The course then turns to integration theory, introducing the integral via Riemann sums, the fundamental theorem of calculus, and basic techniques of integration.  

Textbook

Calculus, Volume 1 by E. Herman, et. al., Openstax
(Available for free on OpenStax: https://openstax.org/details/books/calculus-volume-1)

Instructors

Brian Mintz

brian.mintz.gr@dartmouth.edu

Section 01 (11 block)

Classroom: Kemeny 007

Lectures: MWF 11:30 am-12:35 pm; X-hour Tu 12:15pm-1:05pm

Office: Kemeny 213

Office hours:  Tu: 2-3, Thur: 3-4.

Alice Schwarze 

alice.c.schwarze@dartmouth.edu

Section 02 (12 block)

Classroom: Kemeny 007

Lectures: MWF 12:50pm-1:55 pm; X-hour Tu 1:20-2:10pm

Office: Kemeny 342

Office hours: Tu 1:20pm-2:10pm (Kemeny 007); Wed 3-4pm (Kemeny 342)

Office hours (Week 10/11):
Wednesday 3/8 1-2pm (Kemeny 342)
Friday 3/10 1-2pm (Kemeny 342)
Monday 3/13 1-2pm (Kemeny 342)

 


Jack Petok                             

jack.petok@dartmouth.edu

Section 03 (2 block)

Classroom: Kemeny 006

Lectures: MWF 2:10 pm - 3:15 pm; X-hour Th 1:20-2:10pm

Office: Kemeny 320

Office hours: M 4:30-5:30pm and  W 11am-12pm

 

 

TA and Tutorial

Our teaching assistants are Beth Anne Castellano (elizabeth.a.castellano.gr@dartmouth.edu) and Jonathan Lindbloom (jonathan.t.lindbloom.gr@dartmouth.edu)

They will be holding regular tutorial sessions each week in Kemeny 008 with the following schedule:

  • Sundays: 7:00 - 9:00 PM
  • Tuesdays: 7:00 - 9:00 PM
  • Thursdays: 7:00 - 9:00 PM

 

COVID 19 Information

You are expected to attend class in person unless you have made alternative arrangements due to illness, medical reasons, or the need to isolate due to COVID-19. For the health and safety of our class community, please: do not attend class when you are sick, nor when you have been instructed by Student Health Services to stay home. Sick days will not count against your participation score.

 

Exams

There will be two timed in-person midterm exams and one in-person final during the final exam period.

The exams are scheduled as follows. If you have a scheduled conflict with these exam times (such as a conflict with another class or a game if you are a student athlete) , please bring this up to your instructor at least two weeks in advance.

Midterm 1: Monday, January 30, 5:00pm - 6:00pm in Carpenter 013 Herb West Lecture Hall

Midterm 2: Monday, February 20, 5:00pm - 6:00pm in Carpenter 013 Herb West Lecture Hall

Final Exam: Monday, March 13, 3:00pm - 6:00pm in Kemeny 006 and Kemeny 007

If you have a question about how your exam was graded, you can ask your instructor; to have your exam regraded, please submit your question in writing to your instructor.

 

Homework 

The only way to really figure this stuff out is to work out some exercises on your own. In a typical week, you will be assigned two kinds of homeworks: online homework and written homework, both will be posted on Canvas (see the Canvas course calendar for links).

Online homework will be administered via WebWork. You do not need to signup for webwork, all webwork assignments will be linked to our Canvas page. Most weeks, there will be 3 webwork assignments,  due Monday, Wednesday, and Friday before class meeting. We will drop your lowest webwork score.

Written homework will typically be released each Wednesday and due the following Wednesday at the beginning of class. If you are experiencing an illness with severe symptoms, we will accept a high-quality scan by email. We will not accept any late homeworks, but we will drop your lowest score.

You must show all of your work by hand; in particular, your solution write up should not depend on the use of a calculator or computer (unless otherwise indicated). For full credit, you should explain your work with full English sentences. Students should write neatly, legibly, and in an organized fashion. Arguments should be well written, in complete sentencesMake it clear which problem you are working on by writing out the number of the problem, or even the statement of the problem itself. In any case, clearly indicate where the problem statement ends and your solution begins.

Unless otherwise specified, the problem is asking for a complete and rigorous solution. Every statement you make must be justified. Do not submit scratch work that leads up to your solution. You should be submitting the finished product. It is acceptable, of course, to turn in a partial solution if you can't complete the problem. Show your work, but be concise. 

Collaboration is an important part of learning and doing mathematics. You are encouraged to discuss these problems amongst each other, but the final write-up must be your own. List your collaborators (if any) on the last page. Solutions to problems must be written up in a self-contained way and the write up must contain all crucial steps and not just the final answer. You are allowed to use textbooks and notes from class, and you are allowed to use other online reference and educational sources such as Wikipedia, but you are not allowed to specifically look up solutions of the homework problems as a means to avoid thinking about the problem yourself . You are also not allowed to ask for the solution by posting a particular problem on any online Q & A site or help forum.

The Academic Honor Principle

Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously. We also believe in working and learning together.

Cooperation on homework is permitted and encouraged, but if you work together, try not take any paper away with you—in other words, you can share your thoughts (say on a blackboard), but try to walk away with only your understanding. In particular, you must write the solution up individually, in your own words. This applies to working with tutors as well: students are welcome to take notes when working with tutors on general principles and techniques and on other example problems, but must work on the assigned homework problems on their own. Please acknowledge any collaborators at the beginning of each assignment.

On exams, you may not give or receive help from anyone. Exams in this course are closed book, and no notes, calculators, or other electronic devices are permitted.

Plagiarism, collusion, or other violations of the Academic Honor Principle will be referred to the Committee on Standards.

 

Grades

The course grade will be based upon reading and class participation, the scores on the exams, homework, and the final exam as follows:

Written homework

15%

WebWork 10%
Participation 5%
Midterm 1 20%
Midterm 2 20%
Final Exam 30%

The following conversion gives guaranteed minimum letter grades based on your numerical grade. We reserve the right to grade more generously, depending on the difficulty of our exams and homework. This means a grade of 89% will definitely be at least a B+ but may be an A-. A grade of 90 will always be at least an A-. On the other hand, a grade below 50% is not guaranteed to pass.

Grade guarantees: 93% A; 90% A-; 85% B+; 80% B ; 75% B-; 70% C+; 65% C; 60% C-; 50% pass.

Other Considerations

Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.

Students who need academic adjustments or alternate accommodations for this course are encouraged to see their instructor privately as early in the term as possible. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (Carson Suite 125, 646-9900, Student.Accessibility.Services@Dartmouth.edu). Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to their professor. As a first step, if students have questions about whether they qualify to receive academic adjustments and services, they should contact the SAS office. All inquiries and discussions will remain confidential.

The following is the tentative schedule for the course.

Lectures Sections in Text Brief Description
NO LECTURES WEEK 1    
   

WEEK 2

1/9-1/13

   
1 1.1, 1.2 Introduction; review of functions
2 1.2, 1.3, 1.4, 1.5 More review of functions: inverse functions, trig functions, exponential and logarithmic functions
3 2.1-2.2 A preview of calculus; the limit of a function
4 2.2-2.3 More on limits basic limit laws

Week 3

1/17-1/20

5 2.4 Continuity
6 2.5 The precise definition of a limit
7 3.1 The derivative of a function

Week 4

1/23-1/27

8 3.1-3.2 More derivatives; the derivative as a function
9 3.2-3.3 Differentiation rules
10 3.3-3.4 More differentiation rules; derivatives as rates of change

 

 

Week 5

1/30-2/3

   
  EXAM 1: 1/30    
11 3.4-3.6 More rates of change;  derivatives of trig functions; the chain rule
12 3.6-3.7; 3.8 More chain rule; Derivatives of inverse functions; Implicit differentiation
13 3.8; 3.9 More implicit differentiation; derivatives of exponential and logarithmic functions

Week 6

2/6-2/10

14 4.1 Related rates
15 4.2 Linear approximations and differentials
16 4.3 Maxima and minima

Week 7

2/13-2/17

17 4.4 The mean value theorem
18 4.5 Derivatives and the shape of a graph (including the second derivative test)
19 4.6 Limits at infinity and asymptotes; sketching a graph using calculus

Week 8

2/20-2/24

Exam 2: 2/20

20 4.7 More optimization problems
21 4.8, 4.10 L'hôpital's rule; antiderivatives
22 5.1-5.2 Approximating area under a curve: Riemann sums; the definite integral

Week 9

2/27-3/3

23 5.2 More on the definite integral
24 5.3-5.4 The fundamental theorem of calculus
25 5.4 Net change theorem; integrating even and odd functions
Week 10
26 5.5 (+5.6, 5.7) Substitution

 

Course Summary:

Date Details Due