Calculus – 1
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 “Calculus-1” includes a hands-on course on derivatives and integrals. The strong emphasis is made on the solving tasks: finding derivatives, integrals, and limits.
The covered topics have a huge area of applications and show the power of mathematics. Derivatives are indispensable in optimisation methods. Integrals are necessary to calculate area under the plot of a function, average values, and volume of three-dimensional symmetrical figures.
All the topics represent the straight course, so for understanding the next topic is important to understand previous ones.
The aims of the module are: (i) to calculate derivatives and most of integrals easily and automatically, (ii) to get understanding / feeling / intuition as to what types of tasks need derivatives and integrals, and (iii) to approach solving the real-life examples using derivatives and integrals.
Learning highlights
- You will learn functions, derivatives and integrals
- You will apply the obtained knowledge to solve diverse tasks. The basic tasks include calculating derivatives and integrals. Other tasks include finding optimum and average values, linearising function at a given point, finding area under curve, and others
- You will get familiar with diversity of examples from different fields of knowledge requiring derivatives and integrals
Course outline
4 classes
Theme: Functions
Concept of function. Concept of continuity. List of basic functions. Inverse functions.
Theme: Limits
Concept of limit of a function. Limit at a point. Vertical asymptotes. Limit at infinity. Horizontal asymptotes. List of standard limits.
Theme: Derivatives
Rate of change of a function. Definition of derivative. Calculating derivatives from definition. Derivatives of basic functions. One-side derivative.
Theme: Derivative and differential
Concept of differential. Derivatives of sum, product, and ratio of two functions. The chain rule. Logarithmic derivative.
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
Calculus – 1
by Dmitry Ivankov
Total hours
45 Hours
Dates
Feb 19 - Mar 09, 2018
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
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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.