Admission requirements
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
You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudymap will automatically be displayed in MyTimetable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.
MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).
For more information, watch the video or go the the 'help-page' in MyTimetable. Pleas note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.
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.
Reading list
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
Every student of all years must enroll via MyStudyMap.
In this short video, you will see step by step how to enroll in courses in MyStudyMap. Note that your enrollment is only completed when you submit your course planning in the 'Ready for enrollment' tab by clicking 'submit'.
There are two registration periods per year: registration for the fall semester opens in July and registration for the spring semester opens in December. Please see this page
for more information.
Please note that it is compulsory to register for every exam and retake. Not being registered for a course means that you are not allowed to participate in the final exam. Keep in mind that there are enrollment deadlines, see this page
for more information.
Extensive FAQ on MyStudymap can be found here.
Contact
Dr. Rajat Hazra, r.s.hazra@math.leidenuniv.nl
Dr. Evgeny Verbitskiy, evgeny@math.leidenuniv.nl
Remarks
Not applicable.