Course information
Learning outcomes
After the course the student will
- be able to analyze the convergence of sequences and series
- be familiar with the series expansions and approximations of elementary functions
- master the most important properties, calculation methods, and applications of the derivative and the integral
- be able to solve a first order differential equation in the linear and separable cases
- be able to solve a linear second order differential equation in the case of constant coefficients
Content
sequences, series, power series, derivatives and integrals, basic types of differential equations
Teacher
Pekka Alestalo
Study material
-
Workload
24+24 (4+4)
Prerequisites
Recommended: high school mathematics.
Evaluation
lectures, exercises and course exam OR exam
Teaching time and location
The teaching time and the location of the course can be found in the Sisu information system.
- The link leads to Completion methods tab of the course page
- From the top of the page (Version drop-down menu), check that the academic year 2026-2027 is selected
- From the blue bar, choose the right teaching and open the Groups and study events tab to see the teaching time and location of the course. To see exam times, click Exam.
Exam instructions at the Open University
The teacher has four (4) weeks to grade the exam submissions starting from the exam date.
Further information
Together with the course MS-A00XX Matrix algebra substitutes the courses Mat-1.1010, Mat-1.1110, Mat-1.1210, Mat-1.1310, Mat-1.1410, Mat-1.1510, Mat-1.1610, Mat-1.1710.
Substitutes the courses MS-A01XX Differential and integral calculus 1.
Online learning environment for the course
The MyCourses online learning environment is a tool for both students and teachers for communication and managing everyday course work. You need an Aalto User ID to log in to the course's MyCourses workspace and participate in teaching.
Digital workspace of the course:
MyCourses
More details on completing the course will be available at MyCourses closer to the start of the course.
Registration and course fee
Registration for Open University courses is done via the link below:
Course registration
Registration for this course starts on 10.8.2026 at 9.00
Registration for this course ends on 5.9.2026 at 23.59
It is not possible to register before the registration period has started or after it has ended.
The number of participants is limited to 15.
This course is organized by the Aalto University School of Science.
The course fee is paid upon registration for each course at a time and it is binding. Familiarize yourself with registration and payment rules as well as other guidelines for students:
Registration, payments and rules
