# Calculus 1

Course
2024-2025

This is a first-year, first-semester course for students of Informatics. The only prerequisite is any high school algebra and trigonometry. Prior knowledge of or exposure to calculus (mathematical analysis) is helpful but not essential.

## Description

In this lecture a number of topics from the analysis are discussed.
The material covered is both a continuation and an in-depth study of the high school pre-calculus. Topics include limits, continuity, differential calculus with applications, and other topics as time permits.

## Course objectives

Upon successful completion of the course, a student will be able to:

• Perform basic operations with polynomials and rational functions

• Find critical and extremal points of a function

• Find conditions for continuity and differentiability of functions

• Compute limits of various functions

• Sketch graphs of functions, including asymptotes, critical points, inflection points, identify domains of monotonicity

## Timetable

In MyTimetable, you can find all course and programme schedules, allowing you to create your personal timetable. Activities for which you have enrolled via MyStudyMap will automatically appear in your timetable.

Questions? Watch the video, read the instructions, or contact the ISSC helpdesk.

Note: Joint Degree students from Leiden/Delft need to combine information from both the Leiden and Delft MyTimetables to see a complete schedule. This video explains how to do it.

## Mode of Instruction

Integrated lecture-seminar, twice a week.
The first 60 minutes will be dedicated to the discussion of new material, and in the last 30 minutes the students can work on exercises and pose questions.

## Assessment method

Written exam, 4-5 homework assignments and 3 online quizzes.

Students can earn a bonus of maximum 1 point on their exam grade by handing in homework and participating in online quizzes.

The final grade is determined by adding bonus to the grade of the written exam, and then rounding off to the nearest half integer (e.g. 7.24 becomes 7 and 7.25 becomes 7 1/2).
Grades 5.4 and lower are rounded to a 5 and grades from 5.5 and higher to a 6. The final grade can never be more than a 10.

The bonus points for the same semester can be used for the retake.

Calculus, a complete course, 8th edition, Robert Adams & Christopher Essex, Ed. Pearson, Canada, ISBN-10 10321781074, ISBN-13 9780321781079
Both the 7th and 9th editions can also be used.

## Registration

As a student, you are responsible for enrolling on time through MyStudyMap.

In this short video, you can see step-by-step how to enrol for courses in MyStudyMap.
Extensive information about the operation of MyStudyMap can be found here.

There are two enrolment periods per year:

• Enrolment for the fall opens in July

• Enrolment for the spring opens in December

Note:

• It is mandatory to enrol for all activities of a course that you are going to follow.

• Your enrolment is only complete when you submit your course planning in the ‘Ready for enrolment’ tab by clicking ‘Send’.

• Not being enrolled for an exam/resit means that you are not allowed to participate in the exam/resit.

## Contact

Dr. Rajat Hazra, r.s.hazra@math.leidenuniv.nl
Dr. Evgeny Verbitskiy, evgeny@math.leidenuniv.nl

## Remarks

Software
Starting from the 2024/2025 academic year, the Faculty of Science will use the software distribution platform Academic Software. Through this platform, you can access the software needed for specific courses in your studies. For some software, your laptop must meet certain system requirements, which will be specified with the software. It is important to install the software before the start of the course. More information about the laptop requirements can be found on the student website.