Math107
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 analyse such properties of functions as monotonicity and extrema, which have applications in many sciences.
Learning highlights
- Familiarise with the basic notions and ideas of calculus
- Calculating the limit of a sequence
- Finding a derivative and an integral of a function when possible
- Background preparation for studying probability
Course outline
15 classes
Session 1
Introduction to Sequences
Session 2
Limit of a Sequence Comparison of Sequences
Session 3
Continuity of a Function. Theorems on Continuity.
Session 4
Derivative of a Function. Properties and Theorems for Derivatives.
Session 5
Monotonicity and Extrema.
Session 6
Review and Midterm 1.
Session 7
Antiderivatives.
Session 8
Integral of a Function.
Session 9
Properties and Theorems for Integrals.
Session 10
Methods of Integration.
Session 11
Review and Midterm 2.
Session 12
Problem Solving.
Session 13
Problem Solving.
Session 14
Problem Solving.
Session 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 day’s subject) 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
Calculus 2
by David Zmiaikou
Total hours
45 Hours
Dates
Feb 21 - Mar 11, 2022
Fee for single course
€1500
Fee for degree students
€750
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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.