Basics of Calculus
Faculty
Dmitry Ivankov
PhD, Postdoc at Institute of Science and Technology (IST Austria)
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
The presented module “Basics of Calculus” includes a hands-on course on limits, derivatives, sequences and integrals. The strong emphasis is made on the applied importance of the given material, so, the consideration of a lot of diverse examples is extremely important here.
The covered topics show the power of mathematics. Derivatives are used to calculate maximum or minimum values of a function or parameter. Integrals are used to calculate area under the plot of a function, average values, and volume of three-dimensional symmetrical figures. The material of basic level will be offered in the first two weeks of the module, while the third week will include some material on more advanced topics, just to describe horizons of the considered mathematical apparatus.
All the topics represent the straight course, so for understanding the next topic is important to understand previous ones. However, all the material can be explained in easy language, with real-life analogies. The aim of the module is to show the amount of diverse tasks that the suggested approach can solve. So, the students will see the power of the world of derivatives and integrals.
Learning highlights
- You will learn functions, derivatives and integrals.
- You will apply the obtained knowledge to solve diverse tasks. They include finding maximum or minimum values, finding average value, and solving simple differential equations. You will get familiar to diversity of examples from different fields of knowledge requiring derivatives and integrals for solution.
Course outline
4 classes
Theme: Functions
In this session you will recall the concept of function, and their roots. You will get familiar with discrete and continuous functions. You will calculate the roots of different functions.
Theme: Logarithms and their properties
In this session you will learn closer logarithms and their properties. You will get familiar with cases of using the properties of logarithms. algorithms
Theme: Trigonometry
You will learn here the trigonometric functions, the relationships between them. You will also learn the formulas for transforming the trigonometric expressions.
Theme: Limits
In this session you will learn the concept of limit. You will learn standard methods to calculate limits.
Prerequisites
This course is one of three in a wholistic series.
Students that have already taken MSL-111 and those with prior experience with HTML, CSS, and Javascript building simple web pages will be good candidates for this module.
After graduating from Moscow Institute of Physics and Technology in 1999, Dmitry Ivankov worked for ten years on protein folding problem at the Institute of Protein Research, Pushchino. He defended PhD thesis in 2006 entitled “Theory of protein folding rates”.
From 2010 to 2013 Dmitry worked in Technical University of Munich, on the signal peptides coming from mass-spectrometry based proteomics. Starting from 2014, he work in the Evolutionary Genomics lab in CRG on the structural determinants of epistasis.
See full profileApply for this course
Basics of Calculus
by Dmitry Ivankov
Total hours
45 Hours
Dates
May 22 - Jun 09, 2017
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
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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.