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The Institute
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Math003

Introduction to Calculus 1

Online
Nov 09, 2020 - Nov 27, 2020
By solving equations and inequalities, students will explore the beauty of Calculus, as well as its practical usage to develop new ideas.
Online
Nov 09, 2020 - Nov 27, 2020
David Zmiaikou

Faculty

David Zmiaikou

PhD, Lecturer at the Belarusian State University

Course length

3 weeks

Duration

3 hours
per day

Total hours

45 hours

Credits

4 ECTS

Language

English

Course type

Online

Fee for single course

€1500

Fee for degree students

€750

Skills you’ll learn

Math BasicsCalculusEquations
OverviewCourse outlineCourse materialsPrerequisitesMethod & grading

Overview

This module will concentrate on solving equations and inequalities. Topics covered will include the following types of equations and inequalities: linear, quadratic, rational, involving absolute value and radicals. Important facts and powerful problem-solving approaches will be highlighted. The course will be structured to inspire the students to explore and develop new ideas. Applications and modeling will also be demonstrated.

Learning highlights

  • The main objective of the module is to learn basic techniques of solving equations and inequalities.

Course outline

15 classes

Dive into the details of the course and get a sense of what each class will cover.
Monday
Tuesday
Wednesday
Thursday
Friday
Monday
1

Class 1

Linear Equations in One Variable

Tuesday
2

Class 2

Modeling with Linear Equations

Wednesday
3

Class 3

Complex Numbers

Thursday
4

Class 4

Quadratic Equations

Friday
5

Class 5

Modeling with Quadratic Equations

Monday
6

Class 6

Review and Midterm 1 Rational Equations

Tuesday
7

Class 7

Linear Inequalities

Wednesday
8

Class 8

Quadratic Inequalities

Thursday
9

Class 9

Rational Inequalities

Friday
10

Class 10

Systems of Linear Equations in Two Variables

Monday
11

Class 11

Review and Midterm 2

Tuesday
12

Class 12

Systems of Linear Equations in Three Variables

Wednesday
13

Class 13

Modeling with Linear Systems

Thursday
14

Class 14

Review

Friday
15

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, where students will try to solve problems (related to the subject of the day) under the professor's supervision. There will also be some classroom discussion. In order to further improve understanding of the taught material, homework will be assigned after every session. There will be two interim tests after each of the first two weeks, and a final exam at the end of the module.

Grading

The final grade will be composed of the following criteria:
10% - In-class participation
30% - Homework assignments
20% - Midterm tests (two, each consisting of 10% of the final grade)
40% - Final Exam
David Zmiaikou

Faculty

David Zmiaikou

PhD, Lecturer at the Belarusian State University

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.

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Apply for this course

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Introduction to Calculus 1

by David Zmiaikou

Total hours

45 Hours

Dates

Nov 09 - Nov 27, 2020

Fee for single course

€1500

Fee for degree students

€750

How to secure your spot

Complete the form below to kickstart your application

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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.