Math006
Intro to Calculus 2
Faculty
David Zmiaikou
PhD, Lecturer at the Belarusian State University
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
This course is the first advanced step in calculus, also called mathematical analysis, and serves as a bridge from discrete to continuous. It deals with limits of sequences and continuity, differentiation and integration of functions. We will introduce and explore elementary concepts and methods of calculus. For each of them, a geometric interpretation is given as a key for better understanding. We will see how these concepts are applied by considering examples and by solving numerous exercises. By calculating limits, derivatives and integrals, we will also analyze such properties of functions as monotonicity and extrema, which have applications in many sciences.
Learning highlights
- The course’s objective is to familiarise with the basic notions and ideas of calculus.
- You will learn how to calculate the limit of a sequence, how to find a derivative and an integral of a function when it is possible.
- This course is also a background preparation for studying probability.
Course outline
15 classes
Class 1
Introduction to Sequences
Class 2
Limit of a Sequence
Class 3
Comparison of Sequences
Class 4
Continuity of a Function
Class 5
Theorems on Continuity
Class 6
Review and Midterm 1
Class 7
Derivative of a Function
Class 8
Properties and Theorems for Derivatives
Class 9
Monotonicity and Extrema
Class 10
Antiderivatives
Class 11
Review and Midterm 2
Class 12
Integral of a Function
Class 13
Properties and Theorems for Integrals
Class 14
Methods of Integration
Class 15
Final Exam
Methodology
Each three-hour session will consist partly of a lecture given by the professor and partly of a practical session. This practical session is where students will try to solve problems (related to the subject of the day) under the professor's supervision with some classroom discussion. To further improve the understanding of the taught material, homework is assigned after every session. There will also be two interim tests after each of the first two weeks and a final exam at the end of the module.
Grading
David Zmiaikou graduated from the Ecole Polytechnique in France, and obtained his Ph.D. degree at the University Paris-Sud under the supervision of Professor Jean-Christophe Yoccoz (Fields Medal).
After that, he did his postdoctoral research in Mathematics in Rio de Janeiro, Vienna, Zurich, Bures-sur-Yvette and Bonn, and worked in DNA Analysis at Sanger Institute near Cambridge.
See full profileApply for this course
Intro to Calculus 2
by David Zmiaikou
Total hours
45 Hours
Dates
Feb 01 - Feb 19, 2021
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
Complete the form below to kickstart your application
Schedule your Harbour.Space interview
If successful, get ready to join us on campus
FAQ
Will I receive a certificate after completion?
Yes. Upon completion of the course, you will receive a certificate signed by the director of the program your course belonged to.
Do I need a visa?
This depends on your case. Please check with the Spanish or Thai consulate in your country of residence about visa requirements. We will do our part to provide you with the necessary documents, such as the Certificate of Enrollment.
Can I get a discount?
Yes. The easiest way to enroll in a course at a discounted price is to register for multiple courses. Registering for multiple courses will reduce the cost per individual course. Please ask the Admissions Office for more information about the other kinds of discounts we offer and what you can do to receive one.