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Course Title: Differential Equations, M23
Lectures: Thornton 105, MWF 10:00-11:05
Instructor: Rustam Sadykov
Office: Kemeny, room 316
Office hours: MWF 3-4pm and Tu 4-6pm (tentative)
Phone: 603-646-2960
E-mail: Rustam.Sadykov at math dot dartmouth dot edu

Course description

A differential equation is an equation that defines a relation between a function and its derivatives. In this course we learn how to solve the simplest differential equations by elementary methods.

Course prerequisites

Calculus of Vector-Valued Functions (M13)


Elementary differential equations and boundary value problems, Eighth edition, by William E. Boyce and Richard C. DiPrima.
The textbook comes with a CD ``The ODE Architect Companion" with an interactive software which is useful for investigating differential equations and their solutions. You are also encouraged to browse the Student Companion Site.


We will follow the textbook and aim to cover in full or in part the following chapters:

  • First Order Differential Equations
  • Second Order Linear Equations
  • Higher Order Linear Equations
  • Series Solutions of Second Order Linear Equations
  • The Laplace Transform
  • Systems of First Order Linear Equations
  • Nonlinear Differential Equations and Stability
  • Partial Differential Equations


Midterm Exam: 25%
Final Exam: 40%
Homework: 20%


Homework will be assigned weekly. Each homework must be submitted next week at the beginning of the class on Wednesday. Late homework will not be accepted. The lowest HW score will be dropped. 

Quizzes, exams

There will be three quizzes. These are tentatively scheduled to be given on regular periods, but it has not been finalized; any quiz can be shifted to an x-period.

MidTerm:  Wednesday, November 5, 6-8pm; Location: Carson Hall, Room L01
Final: Tuesday, December 9, 8-10am; Location:TBA

Private tutoring

Tutor Clearinghouse may have private one-on-one tutors available for Math 23. Tutors are recruited on the basis that they have done well in the subject, and are trained by the Academic Skills Center. If you receive financial aid, the College will pay for three hours of tutoring per week. If you would like to have a tutor, please go to 301 Collis and fill out an application.

Tutorial sessions (tentatitve)

There will be tutorial sessions on Tu, Th and Su by Patricia Cahn.
Time&Place: here

Honors code

Collaboration and discussion of general ideas related to homework problems are allowed and encouraged. However you must write down all solutions by yourself in your own words; copying is obviously a violation of the honor code. If you work in group, the names of collaborators must be written on the solution sheet. As for exams and quizzes, no collaboration is permitted. Calculators are not permitted on exams and quizzes. 

Religious observance

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 before the end of the second week of the term to discuss appropriate accommodations.

Students with disabilities

Students with disabilities who will be taking this course and may need disability related classroom accommodations are encouraged to make an appointment to see their instructor as soon as possible. Also, they should stop by the Academic Skills Center in Collis Center to register for support services.