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Geometric Algorithms

Geometric Algorithms

Geometric algorithms are a category of computational methods used to solve problems related to geometric shapes and their properties. These algorithms deal with objects like points, lines, polygons, and other geometric figures. In many areas of computer science such as robotics, computer graphics, virtual reality, and geographic information systems, it is necessary to store, analyze, and create or manipulate spatial data.

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  • 18 hours
  • English
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Introduction to Deep Learning

Introduction to Deep Learning

Deep Learning is the go-to technique for many applications, from natural language processing to biomedical. Deep learning can handle many different types of data such as images, texts, voice/sound, graphs and so on. This course will cover the basics of DL including how to build and train multilayer perceptron, convolutional neural networks (CNNs), recurrent neural networks (RNNs), autoencoders (AE) and generative adversarial networks (GANs).

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  • 60 hours
  • English
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Mathematics 1 Part 1: Differential Calculus

Mathematics 1 Part 1: Differential Calculus

The first in a series of two courses from LSE which help you to master mathematics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.

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Mathematics 1 Part 2: Integral calculus, algebra, and applications

Mathematics 1 Part 2: Integral calculus, algebra, and applications

The second in a series of two courses which help you to master mathematics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.

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MathTrackX: Differential Calculus

MathTrackX: Differential Calculus

Discover concepts and techniques relating to differentiation and how they can be applied to solve real world problems.

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  • 15
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MathTrackX: Integral Calculus

MathTrackX: Integral Calculus

Discover concepts and techniques relating to integration and how they can be applied to solve real world problems.

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  • 18
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Pre-University Calculus

Pre-University Calculus

Prepare for introductory calculus courses by reviewing functions, equations, differentiation, integration and analytic geometry.

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  • 49
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Calculus I: From Functions to Differential Equations

Calculus I: From Functions to Differential Equations

Refresh and review your bachelor-level calculus. This course covers all the various differentiation and integration techniques and guides you through several important methods for solving differential equations.

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  • 21
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Calculus II: Multivariable Functions

Calculus II: Multivariable Functions

This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.

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  • 27
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A-Level Further Mathematics for Year 12 - Course 2: 3 x 3 Matrices, Mathematical Induction, Calculus Methods and Applications, Maclaurin Series, Complex Numbers and Polar Coordinates

A-Level Further Mathematics for Year 12 - Course 2: 3 x 3 Matrices, Mathematical Induction, Calculus Methods and Applications, Maclaurin Series, Complex Numbers and Polar Coordinates

Develop your thinking skills, fluency and confidence in A-level further maths and prepare for undergraduate STEM degrees.

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  • 10
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Calculus through Data & Modelling: Integration Applications

Calculus through Data & Modelling: Integration Applications

This course continues your study of calculus by focusing on the applications of integration. The applications in this section have many common features. First, each is an example of a quantity that is computed by evaluating a definite integral. Second, the formula for that application is derived from Riemann sums. Rather than measure rates of change as we did with differential calculus, the definite integral allows us to measure the accumulation of a quantity over some interval of input values.

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  • 6 hours
  • English
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Electrodynamics: An Introduction

Electrodynamics: An Introduction

The depth and breadth of electromagnetism, the foundation for many fields including materials science, electrical engineering, and physical chemistry, requires a long, steep, and steady learning curve. This course aims to bridge the gap between the fundamental principles taught in electromagnetism and its practical application to specific fields such as materials, physics, and chemistry related to energy storage and harvesting.

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  • 13 hours
  • English
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Algebra: Elementary to Advanced - Polynomials and Roots

Algebra: Elementary to Advanced - Polynomials and Roots

This course is the final course in a three part algebra sequence, In this course, students extend their knowledge of more advanced functions, and apply and model them using both algebraic and geometric techniques. This course enables students to make logical deductions and arrive at reasonable conclusions. Such skills are crucial in today's world. Knowing how to analyze quantitative information for the purpose of making decisions, judgments, and predictions is essential for understanding many important social and political issues.

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  • 9 hours
  • English
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Doğrusal Cebir I: Uzaylar ve İşlemciler / Linear Algebra I: Spaces and Operators

Doğrusal Cebir I: Uzaylar ve İşlemciler / Linear Algebra I: Spaces and Operators

Bu ders doğrusal cebir ikili dizinin birincisidir. Doğrusal uzaylar kavramı, doğrusal işlemciler, matris gösterimleri ve denklem sistemlerinin hesaplanabilmesi için temel araçlar vb. konuları içermektedir.

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Calculus Applied!

Calculus Applied!

Apply tools of single-variable calculus to create and analyze mathematical models used by real practitioners in social, life, and physical sciences.

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  • 20
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Algebra: Elementary to Advanced - Equations & Inequalities

Algebra: Elementary to Advanced - Equations & Inequalities

This course is intended for students looking to create a solid algebraic foundation of fundamental mathematical concepts from which to take more advanced courses that use concepts from precalculus, calculus, probability, and statistics. This course will help solidify your computational methods, review algebraic formulas and properties, and apply these concepts model real world situations. This course is for any student who will use algebraic skills in future mathematics courses.

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  • 10 hours
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Calculus through Data & Modelling: Techniques of Integration

Calculus through Data & Modelling: Techniques of Integration

In this course, we build on previously defined notions of the integral of a single-variable function over an interval. Now, we will extend our understanding of integrals to work with functions of more than one variable. First, we will learn how to integrate a real-valued multivariable function over different regions in the plane. Then, we will introduce vector functions, which assigns a point to a vector. This will prepare us for our final course in the specialization on vector calculus.

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  • 5 hours
  • English
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Calculus through Data & Modeling: Precalculus Review

Calculus through Data & Modeling: Precalculus Review

This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on using these functions to model and analyze data. Graphing calculators and/or the computer will be used as an integral part of the course.

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  • 8 hours
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Guided Tour of Machine Learning in Finance

Guided Tour of Machine Learning in Finance

This course aims at providing an introductory and broad overview of the field of ML with the focus on applications on Finance. Supervised Machine Learning methods are used in the capstone project to predict bank closures.

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  • 24 hours
  • English
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Algebra and Differential Calculus for Data Science

Algebra and Differential Calculus for Data Science

Are you interested in Data Science but lack the math background for it? Has math always been a tough subject that you tend to avoid? This course will teach you the most fundamental Calculus concepts that you will need for a career in Data Science without a ton of unnecessary proofs and techniques that you may never use. Consider this an expressway to Data Science with approachable methods and friendly concepts that will guide you to truly understanding the most important ideas in Differential Calculus.

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  • 8 hours
  • English
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Mathematics for Engineers: The Capstone Course

Mathematics for Engineers: The Capstone Course

Mathematics for Engineers: The Capstone Course provides a capstone project for students who are completing the Mathematics for Engineers specialization. Students will first learn some basic concepts in computational fluid dynamics, and then apply these concepts to compute the fluid flow around a cylinder. Access to MATLAB online and the MATLAB grader is given to all students who enroll. Before enrolling, students should have already taken courses in matrix algebra, differential equations, vector calculus and numerical methods, and be able to program in MATLAB.

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  • 10 hours
  • English
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Calculus through Data & Modeling: Limits & Derivatives

Calculus through Data & Modeling: Limits & Derivatives

This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. This fundamental notion will be applied through the modelling and analysis of data.

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  • 10 hours
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Survival Analysis in R for Public Health

Survival Analysis in R for Public Health

Welcome to Survival Analysis in R for Public Health! The three earlier courses in this series covered statistical thinking, correlation, linear regression and logistic regression. This one will show you how to run survival – or “time to event” – analysis, explaining what’s meant by familiar-sounding but deceptive terms like hazard and censoring, which have specific meanings in this context.

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  • 12 hours
  • English
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Analysis of Algorithms

Analysis of Algorithms

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. In addition, this course covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings. All the features of this course are available for free.

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  • 21 hours
  • English
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Digital Signal Processing 1: Basic Concepts and Algorithms

Digital Signal Processing 1: Basic Concepts and Algorithms

Digital Signal Processing is the branch of engineering that, in the space of just a few decades, has enabled unprecedented levels of interpersonal communication and of on-demand entertainment. By reworking the principles of electronics, telecommunication and computer science into a unifying paradigm, DSP is a the heart of the digital revolution that brought us CDs, DVDs, MP3 players, mobile phones and countless other devices. In this series of four courses, you will learn the fundamentals of Digital Signal Processing from the ground up.

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  • 29 hours
  • English
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