Real Analysis (WI22)

Real Analysis (WI22)

General Information

Welcome to our Math 35 - Real analysis Canvas page! 

Instructor: Danie van Wyk
Office: 314 Kemeny Hall
Office Hours: MF 10:00-11:00 a.m. and F 3:20-4:20 p.m.
Lectures: MWF 14:10-15:15 p.m. in 007 Kemeny Hall
x-hour: Th 13:20-14:10 p.m.


ORC description: This course introduces the basic concepts of real-variable theory. Topics include real numbers and cardinality of sets, sequences and series of real numbers, metric spaces, continuous functions, integration theory, sequences and series of functions, and polynomial approximation. Some applications of the theory may be presented. (MATH 63 presents similar material, but from a more sophisticated point of view. This course may not serve as an adequate prerequisite for either MATH 73 or 83. Students who contemplate taking one of these two advanced courses should consider taking MATH 63 instead of this course.)



Russell A. Gordon: Real Analysis - A first course, second edition


Written homework 25%
Midterm exam 35%
Final exam 40%

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 and community, please: do not attend class when you are sick, nor when you have been instructed by Student Health Services to stay home.


In accordance with current College policy, all members of the Dartmouth community are required to wear a suitable face covering when indoors, regardless of vaccination status. This includes our classroom and other course-related locations, such as labs, studios, and office hours. If you need to take a quick drink during class, please dip your mask briefly for each sip. Eating is never permitted in the classroom. (The only exception to the mask requirement is for students with an approved disability-related accommodation; see below.) If you do not have accommodation and refuse to comply with masking or other safety protocols, I am obligated to assure that the Covid health and safety standards are followed, and you will be asked to leave the classroom. You remain subject to course attendance policies, and dismissal from class will result in an unexcused absence. If you refuse to comply with masking or other safety protocols and to ensure the health and safety of our community, I am obligated to report you to the Dean’s office for disciplinary action under Dartmouth’s Standards of Conduct. Additional COVID-19 protocols may emerge. Pay attention to emails from the senior administrators at the College.


Additional pages: 

  1. Daily schedule
  2. Homework
  3. Exams
  4. Class notes

Student Accessibility Services

Students requesting disability-related accommodations and services for this course are required to register with Student Accessibility Services (SAS; Getting Started with SAS webpage;; 1-603-646-9900) and to request that an accommodation email be sent to me in advance of the need for an accommodation. Then, students should schedule a follow-up meeting with me to determine relevant details such as what role SAS or its Testing Center may play in accommodation implementation. This process works best for everyone when completed as early in the quarter as possible. If students have questions about whether they are eligible for accommodations or have concerns about the implementation of their accommodations, they should contact the SAS office. All inquiries and discussions will remain confidential. 


(1) Consent to the recording of course and group office hours: By enrolling in this course, a) I affirm my understanding that the instructor may record this course and any associated group meetings involving students and the instructor, including but not limited to scheduled and ad hoc office hours and other consultations, within any digital platform used to offer remote instruction for this course; b) I further affirm that the instructor owns the copyright to their instructional materials, of which these recordings constitute a part, and my distribution of any of these recordings in whole or in part without the prior written consent of the instructor may be subject to discipline by Dartmouth up to and including expulsion;

(2) Requirement of consent to one-on-one recordings: By enrolling in this course, I hereby affirm that I will not under any circumstance make a recording in any medium of any one-on-one meeting with the instructor without obtaining the prior written consent of all those participating, and I understand that if I violate this prohibition, I will be subject to discipline by Dartmouth up to and including expulsion, as well as any other civil or criminal penalties under applicable law. 

The 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.

Collaboration on homework is permitted and encouraged, but obviously, it is a violation of the honor code for someone to provide the answers for you.

On written homework, you are encouraged to work together, and you may get help from others, but you must write up the answers yourself. I want to see your understanding of the material.

On exams, you may not give or receive help from anyone.

For closed book exams no notes, calculators, or other electronic devices are permitted.

Religious Observances

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 me as soon as possible, or before the end of the second week of the term—at the latest, to discuss appropriate adjustments.

Mental Health

Even without the global pandemic, the academic environment at Dartmouth is challenging, our terms are intensive, and classes are not the only demanding part of your life. In the midst of a global pandemic, with all the uncertainty surrounding every aspect of our lives, these challenges take on an extra toll. There are a number of resources available to you on campus to support your wellness, including your undergraduate dean. Counseling and Human Development and the Student Wellness Center

Course Summary:

Date Details Due