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What courses in mathematics should I take in order to build a strong foundation for computer science?
Thanks for A2A. I hope this helps.Beginners Mathematics & Statistics1. Data Science Maths SkillsDuration: 4 weeksLed by: Duke University (Coursera)If you are a beginner with very minimal knowledge of mathematics, then this course is for you. In this course, you will learn about concepts of algebra like set theory, inequalities, functions, coordinate geometry, logarithms, probability theory and many more.This course will take you through all the basic maths skills required for data science and would provide a strong foundation.The course starts from 9 Jan 2017 and is lead by professors from Duke University.Prerequisites: Basic maths skills2. Intro to Descriptive StatisticsDuration: 8 weeksLed by: UdacityThis course by Udacity is an excellent beginners guide for learning statistics. It is fun, practical and filled with examples. The Descriptive Statistics course will first make you familiar with different terms of statistics and their definition. Then you will learn about statistics concepts like central tendency, variability, standard normal distribution and sampling distribution.This course doesn’t require any prior knowledge of statistics and is open for enrollment.Prerequisites: None3. Intro to Inferential StatisticsDuration: 8 weeksLed by: UdacityAfter you have gone through the Descriptive Statistics course, it is time for Inferential statistics. The same practical approach to the subject continues in this course.In this course, you will learn concepts of statistics like estimation, hypothesis testing, t-test, chi-square test, one-way Anova, two-way Anova, correlation, and regression.There are problem set and quiz questions after each topic. You will also be able to test your learning on a real-life dataset at the end of the course. The course is open for enrollment.Prerequisites: Complete understanding of Descriptive Statistics (the course mentioned above)Alternate Course: You can also look at Statistics: Unlocking the World of Data. It is a 6 weeks long course run by University of Edinburgh (edX)4. Introduction to Probability and DataDuration: 5 weeksLed by: Duke University (Coursera)It will provide you hands on experience in data visualization and numeric statistics using R and RStudio.The course will first take you through basics of probability and data exploration to give a basic understanding to get started. Then, it will individually explain various concepts under each topic in detail. At the end, you will be tested on a data analysis project using a real-world dataset.The course is led by a Professor in Statistics at Duke University and is also a prerequisite for Statistics in R specialization. If you are looking forward to learn R for data science, then you must take this course. The course is open for enrollment.Prerequisites: Basic Statistics and knowledge of R5. Math is Everywhere: Applications of Finite MathDuration: 1 weekLed by: Davidson College (Udemy)As the name suggests, this course tells you how maths is being used everywhere from Angry birds to Google. It is a fun approach to applied mathematical concepts.In this course, you will learn how equation of lines is used to create computer fonts, how graph theory plays a vital role in angry birds, linear systems model the performance of a sports team and how Google uses probability and simulation to lead the race in search engines.The course is led by the mathematics professor at Davidson College and is open for enrollment.Prerequisites: Understanding of linear algebra and programming6. Probability: Basic Concepts & Discrete Random VariablesDuration: 6 weeksLed by: Purdue University (edX)This course is designed for anyone looking for a career in data science & information science. It covers essentials of mathematical probabilities.In this course, you will learn the basic concepts of probability, random variables, distributions, Bayes Theorem, probability mass functions and CDFs, joint distributions and expected values.Once you are familiar with the basics, you will learn about advanced concepts Bernoulli and Binomial distributions, Geometric distribution, Negative Binomial distribution, Poisson distribution, Hypergeometric distribution and discrete uniform distribution.After taking this course you will have a thorough understanding of how probability is used in everyday life. The course is open for enrollment.Prerequisite: Basics Statistics7. Mathematical Biostatistics Boot Camp 1Duration: 4 weeksLed by: Johns Hopkins University (Coursera)Honestly, the “Bio” in “Biostatistics” is misleading. This course is all about fundamental probability and statistics techniques for data analysis.The course covers topics on probability, expectations, conditional probabilities, distributions, confidence intervals, bootstrapping, binomial proportions, and logs.A prior knowledge of linear algebra and programming will be advantageous but not mandatory to begin with this course. The course starts from 16 Jan 2017 and is led by biostatistics professor at Johns Hopkins University.A well-paced course with a complete introduction to mathematical statistics.Prerequisites: Basic Linear algebra, calculus and programming useful but not mandatory8. Applications of Linear Algebra Part 1Duration: 5 weeksLed by: Davidson College (edX)This is an interesting course on applications of linear algebra in data science.The course will first take you through fundamentals of linear algebra. Then, it will introduce you to applications of linear algebra for recognizing handwritten numbers, ranking of sports team along with online codes.The course is open for enrollment.Prerequisite: Basic linear algebra9. Introduction to Mathematical ThinkingDuration: 8 weeksLed by: Stanford University (Coursera)In this mathematical thinking course from Stanford, you will learn how to develop analytical thinking skills. The course teaches you interesting ways to develop out-of-the-box thinking and helps you remain ahead of the competitive curve.In this course, you will learn about analysis of a language, quantifiers, brief introduction to number theory and real analysis. To make the most of this course one must have familiarity with algebra, number system and elementary set theory.The course starts from 9 Jan 2017 and is led by professors at Stanford. It is open for enrollment.Prerequisites: Basic algebra, number system and elementary set theory.Intermediate Mathematics & StatisticsBy this time, you know all the basic concepts a data scientist needs to know. This is the time to take your mathematical knowledge to the next level.1. Bayesian Statistics: From Concept to Data AnalysisDuration: 4 weeksLed by: University of California (Coursera)Bayesian Statistics is an important topic in data science. For some reason, it does not get as much attention.In this course, the first section covers basic topics like probability like conditional probability, probability distribution and Bayes Theorem. Then you will learn about statistical inference for both Frequentist and Bayesian approach, methods for selecting prior distributions and models for discrete data and Bayesian analysis for continuous data.Prior knowledge of statistics concepts is required to take this course. The course starts from 16 Jan 2017.Prerequisite: Basic & Advanced Statistics2. Game Theory 1Duration: 8 weeksLed by: Stanford University and University of British Columbia (Coursera)Game theory is an important component of data science. In this course, you will learn about basics of game theory and its applications. If you are looking to master Re-inforcement learning this year – this course is a must learn for you.The course provides basic understanding of representing games and strategies, the extensive form (which computer scientists call game trees), Bayesian games (modeling things like auctions), repeated and stochastic games. Each concept has been explained with the help of examples and applications.The course is led by professors from the Stanford University and The University of British Columbia. The course is open for enrollment.Prerequisite: Basic probability and mathematical thinking3. Game Theory II: Advanced ApplicationsDuration: 5 weeksLed by: Stanford University and The University of British Columbia (Coursera)After going through the basics of Game theory in the previous course, this course is on the advanced applications of game theory.You will learn about how to design interactions between agents in order to achieve good social outcomes. The three main topics covered are social choice theory, mechanism design, and auctions. The course starts from 30 Jan 2017 and is led by professors from Stanford University & The University of British Columbia.The course is open for enrollment.Prerequisite: Basics of Game Theory4. Introduction to Linear Models and Matrix AlgebraDuration: 4 weeksLed By: Harvard University (edX)Matrix algebra is used in various tools for experimental design and analysis of high-dimensional data.For easy understanding, the course has been divided into seven parts to provide you a step by step approach. You will learn about matrix algebra notation & operations, application of matrix algebra to data analysis, linear models and QR decomposition.The language used throughout the course is R. Feel free to choose which part of the course caters more to your interest and take the course accordingly.The course is conducted by biostatistics professors at Harvard University and is open for enrolment now.Prerequisite: Basic Linear algebra and knowledge of R5. Advanced Linear Models for Data Science 1: Least SquaresDuration: 6 weeksLed by: Johns Hopkins University (Coursera)This course is a two part series for advanced linear statistical learning models. For all those who have an understanding of regressions models and are looking to explore this topic further must take this course.In this course, you will learn about one & two parameter regression, linear regression, general least square, least square examples, bases & residuals.Before you proceed further let me clear, to take this course you need a basic understanding of linear algebra & multivariate calculus, statistics & regression models, familiarity with proof based mathematics and working knowledge of R. The course starts from 23 Jan 2017.Prerequisite: Linear Algebra, calculus, statistics and knowledge of R6. Advanced Linear Models for Data Science 2: Statistical Linear ModelsDuration: 6 weeksLed by: Johns Hopkins UniversityThis is the second part of the course on advanced linear statistical learning models. For all those who have an understanding of regressions models and are looking to explore this topic further must take this course.In this course, you will learn about basics of statistical modeling multivariate normal distribution, distributional results, and residuals.Before you proceed further let me clear, to take this course you need basic understanding of linear algebra & multivariate calculus, statistics & regression models, familiarity with proof based mathematics and working knowledge of R. The course starts from 23 Jan 2017.Prerequisite: Linear Algebra, calculus, statistics and knowledge of R7. Maths in SportsDuration: 8 weeksLed by: University of Notre Dam (edX)I am someone who is very curious to know how mathematics can be used to drive deeper insights in sports and everyday life.I came across this course, which shows how your favorite sport uses mathematics to analyze data and know the trends, performance of players and their fellow teams.In this course, you will learn how inductive reasoning is used in mathematical analysis, how probability is used to evaluate data, assess the risk and outcomes of any event.All the major team sports, athletic sports, and even extreme sports like mountain climbing have been covered in the course. The course is led by professors of the University of Notre Dam and is currently open for enrolment.Prerequisite: Statistics & Linear AlgebraAdvanced Mathematics & StatisticsBravo, by now – you would be on your own. You would have developed a knack for mathematics & statistics and would feel confident about continuous learning – way to go!1.Discrete OptimizationDuration: 8 weeksLed by: University of Melbourne (Coursera)Every industry & company makes use of optimization. Airlines use optimization to ensure fixed turn-around-time, E-commerce like Amazon uses optimization for on time delivery of products. Macro-level applications of optimization includes deploying electricity to millions of people, way for new medical drug discoveries and many more.This course provides you a complete understanding of discrete optimization and it is being used in our everyday lives. First, it will take you through fundamental basics of discrete optimization and its various techniques. You will learn about constraint, linear and mixed integer programming. The last section of the course includes advanced topics on optimization.The prerequisites to take this course are good programming skills, knowledge of fundamental algorithms, and linear algebra. The course starts from 16 Jan 2017 and is conducted by professors at Melbourne University.Prerequisite: Programming, algorithms and linear algebra2. Statistics for Genomic Data ScienceDuration: 4 weeksLed by: Johns Hopkins UniversityIf you aspire to become a generation sequencing data scientist then you must take this course.In this course, you will learn about exploratory analysis, linear modeling, hypothesis testing & multi-hypothesis testing, different types of process like RNA-seq, GWAS, ChIP-Seq, and DNA Methylation studies. This course is part of Genomic Data Scientist specialization from Johns Hopkins. The course starts from 16 Jan 2017.This course is part of Genomic Data Scientist specialization from Johns Hopkins. The course starts from 16 Jan 2017.Prerequisite: Advanced Statistics and algorithms3. Biostatistics for Big Data ApplicationsDuration: 8 weeksLed by: utmb Health (edX)This course is an introduction to data analysis using biomedical big data.In this course, you will learn about fundamental components of biostatistical methods. Working with biomedical big data can pose various challenges for someone not familiar with statistics.Learn how basic statistics is used in biomedical data types. You will learn about basics of R programming, how to create & interpret graphical summaries of data and inferential statistics for parametric & non-parametric methods. It will provide you hands on experience in R with biomedical problem types.The course is open for enrolment.Prerequisite: Advanced statistics and knowledge R
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