**CALCULUS – 1**

DMITRYIVANKOV

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.

After graduating from Moscow Institute of Physics and Technology in 1999, Dmitry worked for ten years on the protein folding problem at the Institute of Protein Research, Pushchino. He defended his PhD thesis in 2006 entitled “Theory of protein folding rates”. From 2010 to 2013 he worked in Technical University of Munich, on the signal peptides coming from mass-spectrometry based proteomics. Starting from 2014, Dmitry works in the Evolutionary Genomics lab, starting in CRG, and now in the IST Austria.

**• **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

**SKILLS:**

- Bioinformatics

- Molecular Biology

- Science

- Mathematics

- Scientific Computing

- LaTeX

- Biophysics

- Machine Learning

ABOUT DMITRY

**HARBOUR.SPACE **

WHAT YOUWILL LEARN

**DATE:** 19 Feb - 9 Mar, 2018

**DURATION: **3 Weeks

**LECTURES: **3 Hours per day

**LANGUAGE: **English

**LOCATION: **__Barcelona, Harbour.Space Campus__

**COURSE TYPE: **Offline

HARBOUR.SPACEUNIVERSITY

**DATE: **19 Feb - 9 Mar, 2018

**DURATION: **3 Weeks

**LECTURES: **3 Hours per day

**LANGUAGE: **English

**LOCATION: **__B____arcelona, Harbour.Space Campus__

**COURSE TYPE: **Offline

All rights reserved. 2018

COURSE OUTLINE

**Session 1**

**Theme: Functions**

Concept of function. Concept of continuity. List of basic functions. Inverse functions.

**Session 4**

**Theme: Derivative and differential**

Concept of differential. Derivatives of sum, product, and ratio of two functions. The chain rule. Logarithmic derivative.

**Session 3**

**Theme: Derivatives**

Rate of change of a function. Definition of derivative. Calculating derivatives from definition. Derivatives of basic functions. One-side derivative.

**Session 2**

**Theme: Limits**

Concept of limit of a function. Limit at a point. Vertical asymptotes. Limit at infinity. Horizontal asymptotes. List of standard limits.

**CALCULUS – 1**

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.

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.

DMITRYIVANKOV

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