Math Concepts And Applications For Biology

Basic statistics, basic calculus, arithmetics, functions

What you'll learn

Develop a mathematical/logical reasoning on math on biology

Know the main applications of math in biosciences

Know the main areas of math that are useful to biosciences

Know case studies where statistics can be used to analyze data of biological sciences

Requirements

Basic biology knowledge (high school level)

Basic math level (high school level)

Description

Welcome to the exciting coirse of "Math Concepts for Biology," a  course designed to bridge the gap between mathematics and biology, a science that many think shouldn't have any math.The curriculum is thoughtfully structured to cover some of the essential topics, including probability, arithmetic, functions, statistics, and basic concepts of calculus. Each module seeks to align with the unique challenges and opportunities presented in biological fields. By weaving together these diverse mathematical concepts, our course aims to provide a foundation for students and professionals alike, fostering a seamless integration of mathematical reasoning into the realm of biology.Immersing yourself in "Math Concepts for Biology" not only equips you with the skills to analyze data and draw meaningful conclusions but also cultivates a nuanced understanding of how mathematics underpins biological processes. From unraveling the mysteries of genetic inheritance to deciphering ecological patterns, our course empowers you to approach biological questions with a mathematical mindset, unlocking new perspectives and insights. Join us on this intellectually stimulating journey, where mathematics and biology converge to catalyze a deeper understanding of the natural world.  "Math Concepts for Biology" is not just a course; it's a pathway to unlocking the full potential of your mathematical mind in the realm of biology.

Overview

Section 1: Introduction

Lecture 1 Introduction to the course

Lecture 2 How to watch the course

Section 2: Arithmetics, proportion, probability and functions

Lecture 3 Arithmetic

Lecture 4 Data 'transformation' and comparing values

Lecture 5 Proportion and rule of three

Lecture 6 Functions: part 1

Lecture 7 Functions: part 2

Lecture 8 Independent variables and dependent variables

Lecture 9 Basic probability

Lecture 10 Genotype and phenotype probability

Lecture 11 Challenges - proportions and arithmetics

Lecture 12 Challenge - function

Lecture 13 Solution: selection coefficient

Lecture 14 Solution: Protein/R$

Lecture 15 Solution: Experiment analysis

Lecture 16 Solution: plant growth function

Section 3: Statistics in biology: descriptive statistics

Lecture 17 Introduction to statistics

Lecture 18 Mean, mode, and median

Lecture 19 Standard deviation and variance

Lecture 20 Types of variables

Lecture 21 Graphs in statistics and biology: part 1

Lecture 22 Graphs in statistics and biology: part 2

Lecture 23 Graphs in statistics and biology: part 3

Lecture 24 Challenges

Section 4: Statistical inference in biology: tests, analyses and graphs

Lecture 25 Introduction to inferential statistics

Lecture 26 t-test

Lecture 27 Chi-square test

Lecture 28 Chi square test and the Hardy-Weinberg Theorem on population genetics

Lecture 29 ANOVA test

Lecture 30 ANOVA test: additional info

Lecture 31 Correlation/regression

Lecture 32 Challenge: what statistical methods would you use?

Section 5: Very basic notions of Calculus in biology

Lecture 33 Introduction to calculus

Lecture 34 Limits

Lecture 35 Differential calculus

Lecture 36 Integrals calculus

Section 6: Extra section

Lecture 37 Evolution as a mathematical/computational algorithm: part 1

Lecture 38 Evolution as a mathematical/computational algorithm: part 2

Lecture 39 Conclusion

Mathematicians who are curious to know case studies of math in biology,Bioscientists who want to know how they could develop a mathematical/logical thinking regarding problems of biology