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Video
This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the analytic theory of the Fourier Transform, along with the Fast Fourier Transform (FFT) algorithm for efficient computations. We will explore lots of applications in image compression, audio analysis, and solving partial differential equations.
- Course related:
- EIE4413 Digital Signal Processing, EIE3331 Communication Fundamentals, and EE3312 Linear Systems
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fourier transformations
- Resource Type:
- Video
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Video
Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra.
- Course related:
- COMP4432 Machine Learning
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
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Video
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
- Course related:
- AMA1110 Basic Mathematics I – Calculus and Probability & Statistics and BRE2031 Environmental Science
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential calculus
- Resource Type:
- Video
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Others
This sequence is ideal for students or early data science professionals who want to strengthen their knowledge of fundamental probability and statistics concepts. Mastery of Mathematical Fundamentals is a prerequisite.
- Course related:
- AMA1110 Basic Mathematics I – Calculus and Probability & Statistics
- Subjects:
- Finance and Mathematics and Statistics
- Keywords:
- Probabilities Mathematical statistics Business mathematics
- Resource Type:
- Others
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Video
In this lecture, we consider strategies for adversarial games such as chess. We discuss the minimax algorithm, and how alpha-beta pruning improves its efficiency. We then examine progressive deepening, which ensures that some answer is always available.
- Course related:
- COMP4431 Artificial Intelligence
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Artificial intelligence
- Resource Type:
- Video
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Others
This learning material covers the topic of differentiation by considering first principles (gradients of chords and tangents).
- Course related:
- AMA1110 Basic Mathematics I – Calculus and Probability & Statistics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential calculus
- Resource Type:
- Others
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Video
An example of using least squares to do data fitting. In this example, we demonstrate how to 1) fit a straight line using ordinary least-squares method, and 2) estimate value of a new input based on the fitted line.
- Course related:
- LSGI3242A Digital Terrain Modelling
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Least squares Regression analysis
- Resource Type:
- Video
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MOOC
Why do we study statistics? The field of statistics provides professionals and scientists withconceptual foundations and useful techniques for evaluating ideas, testing theories, and - ultimately -uncovering the truth in any situation. This course will familiarize you with data and basic statistical concepts, enabling you to analyze data using graphs and statistics. We'll start with types of data, controlled experiments,and observational study. You'll learn touse ahistogram, a representation of the distribution of numerical data, to easily arrange data. You will learn about basic concepts of statistics, such as average and standard deviation. Methods of using the normal approximation to solve a problem will be covered in this course. Inaddition, we'll discussthe correlation coefficient and the regression method in order to represent the relationship between two variables.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics
- Resource Type:
- MOOC
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Courseware
Probability and statistics help to bring logic to a world replete with randomness and uncertainty. This course will give you the tools needed to understand data, science, philosophy, engineering, economics, and finance. You will learn not only how to solve challenging technical problems, but also how you can apply those solutions in everyday life.With examples ranging from medical testing to sports prediction, you will gain a strong foundation for the study of statistical inference, stochastic processes, randomized algorithms, and other subjects where probability is needed.
- Course related:
- AMA1501 Introduction to Statistics in Business
- Subjects:
- Mathematics and Statistics
- Keywords:
- Probabilities
- Resource Type:
- Courseware
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e-book
This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebra Abstract Textbooks
- Resource Type:
- e-book