Their excellence in research and teaching makes the University of Sydney one of the top universities in Australia and highly ranked among the best universities in the world. In 2020, they were ranked second in the Times Higher Education (THE) University Impact Rankings, and first in Australia in the QS Graduate Employability Rankings.

The Introduction to Calculus course focuses on the most critical foundations for mathematical applications in science, engineering, and business. The course emphasizes the fundamental ideas and historical inspiration for calculus while also establishing a balance between theory and application, resulting in mastery of critical threshold topics in foundational mathematics.

Students taking Introduction to Calculus will:
• gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks),
• develop fluency with the preliminary methodology of tangents and limits, and the definition of a derivative (third week),
• develop and practice methods of differential calculus with applications (fourth week),
• develop and practice methods of the integral calculus (fifth week).

This course offers:

• Flexible deadlines: Reset deadlines in accordance to your schedule.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Intermediate Level
  
• Approx. 59 hours to complete
  
• Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish

Coursera Rating: 4.8/5
Enroll here:https://www.coursera.org/learn/introduction-to-calculus

This specialization is for students who want to reinforce their algebra and geometry skills in order to succeed in future precalculus and calculus courses. Students are taught quantitative skills and reasoning throughout the course to help them think logically, reason with data, and make educated decisions. Instead of a single huge project, the courses' modules contain numerous smaller practical and mathematical projects.

Throughout the course, students will be given practice problems with worked solutions to help them prepare and succeed. Problems vary in difficulty to keep students challenged as they apply what they've learned in class.

This course offers:

• Flexible Schedule: Set and maintain flexible deadlines.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 4 months to complete: Suggested pace of 2 hours/week
  
• Subtitles:English
  
  

Coursera Rating: 4.8/5
Enroll here:https://www.coursera.org/specializations/algebra-elementary-to-advanced

It's impossible to escape arithmetic in data science classes. This course, one of the top Online Courses to Learn about Math and Logic, was built for learners who have basic math skills but have not studied algebra or pre-calculus and want to master the basic math they will need to succeed in practically any data science math course. Data Science Math Skills offers the essential math on which data science is built, with no added complexity, one at a time, presenting unexpected topics and math symbols.

Before going on to more advanced content, learners will grasp the vocabulary, notation, concepts, and algebra rules that all data scientists must know.

Topics include:
~Set theory, including Venn diagrams
~Properties of the real number line
~Interval notation and algebra with inequalities
~Uses for summation and Sigma notation
~Math on the Cartesian (x,y) plane, slope and distance formulas
~Graphing and describing functions and their inverses on the x-y plane,
~The concept of instantaneous rate of change and tangent lines to a curve
~Exponents, logarithms, and the natural log function.
~Probability theory, including Bayes’ theorem.

While this course is meant as a broad introduction to the math abilities needed for data science, it can be used as a prerequisite for learners interested in the Excel to MySQL Data Science Specialization course "Mastering Data Analysis in Excel." Learners who master Data Science Math Skills will be well-prepared for the more complex math concepts covered in "Mastering Data Analysis in Excel."

This course offers:

• Flexible deadlines: Set and maintain flexible deadlines.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 13 hours to complete
  
• Subtitles:Arabic, French, Portuguese (European), Italian, Vietnamese, Korean, German, Russian, English, Spanish
  
  

Coursera Rating: 4.5/5
Enroll here: https://www.coursera.org/learn/datasciencemathskills

This course, one of the top Online Courses to Learn about Math and Logic, provides a basic understanding of multivariate calculus, which is essential to construct several standard machine learning approaches. You will start at the beginning with a review of the "rise over run" formulation of a slope before moving on to the formal definition of a function's gradient. Then you begin to put together a collection of tools that make calculus easier and faster. Then you will learn how to calculate vectors that point uphill on multidimensional surfaces and use an interactive game to demonstrate it.

You look at how calculus may help you to develop approximations to functions and measure how precise those approximations should be. You also spend some time discussing where calculus is used in neural network training before showing you how it is used in linear regression models. This course is designed to provide you a basic grasp of calculus as well as the vocabulary you'll need to look up concepts when you get stuck. Without getting into too much depth, hopefully you'll have enough confidence to take some more specialized machine learning classes in the future.

This course offers:

• Flexible deadlines: Reset deadlines in accordance to your schedule.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 18 hours to complete
  
• Subtitles:Arabic, French, Portuguese (European), Greek, Italian, Vietnamese, German, Russian, English, Spanish
• Course 2 of 3 in the Mathematics for Machine Learning Specialization

Coursera Rating: 4.7/5
Enroll here:https://www.coursera.org/learn/multivariate-calculus-machine-learning

Mathematics for Engineers Specialization offered by The Hong Kong University of Science and Technology was created to help engineering students learn engineering mathematics on their own. Single variable calculus and computer programming are likely to be familiar to students. Matrix algebra, differential equations, vector calculus, and numerical methods will be taught to students.

Programming in MATLAB will be taught. Learners will use MATLAB to solve a computational fluid dynamics issue involving a cylinder flow. Learners will be able to compute the renowned Kármán vortex street by the end of the "Mathematics for Engineers: The Capstone Course."

This course offers:

• Flexible Schedule: Set and maintain flexible deadlines.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 6 months to complete: Suggested pace of 5 hours/week
  
• Subtitles:English, Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, Spanish

Coursera Rating: 4.9/5
Enroll here:https://www.coursera.org/specializations/mathematics-engineers

The fundamental probability and statistical concepts utilized in elementary data analysis are covered in this lesson. It will be taught at an introductory level to students who have completed junior or senior college mathematics and have a working knowledge of calculus. A basic understanding of linear algebra and programming is beneficial but not essential for the class.

The Johns Hopkins University's objective is to educate its students and cultivate their capacity for life-long learning, to encourage independent and creative research, and to share the advantages of discovery with the rest of the world.

This course offers:

• Flexible deadlines: Reset deadlines in accordance to your schedule.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 13 hours to complete
  
• Subtitles:Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish
• Course 1 of 4 in the Advanced Statistics for Data Science Specialization

Coursera Rating: 4.4/5
Enroll here:https://www.coursera.org/learn/biostatistics

"Thank you for visiting Introduction to Numerical Mathematics. This course is aimed to provide you with a portion of the mathematical foundations required to work in computer science in any of its branches, including business, visual digital arts, music, and games. Numerical and computational tools are required at all stages of problem-solving and modeling.

They introduce you to binary and other number bases, as well as some tools for deciphering numerical sequences, how to represent space numerically using coordinates, and how to investigate variations in quantities using functions and graphs. From transmitting secret messages to making computer graphics, they prepared computing and everyday life tasks for you to solve utilizing these tools. If you want to go any deeper, you can enroll in a BSc Computer Science program and take the entire module 'Numerical Mathematics.' You can join the group if you want to take it further.

This course offers:

• Flexible deadlines: Reset deadlines in accordance to your schedule.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 38 hours to complete
  
• Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanis
  
• Course 3 of 3 in the Introduction to Computer Science and Programming Specialization
  
  

Coursera Rating: 4.2/5
Enroll here: https://www.coursera.org/learn/mathematics-for-computer-science

Calculus is one of humanity's greatest achievements, describing everything from planetary orbits to the optimal size of a metropolis to the regularity of a pulse. This concise course introduces the fundamental concepts of single-variable calculus, with an emphasis on conceptual understanding and applications.

The course is designed for students who are new to engineering, physical science, or social science. The course has several distinguishing aspects, including: 1) the early introduction and application of Taylor series and approximations; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, and cohesive approach.

They will cover a calculus for sequences, numerical methods, series and convergence tests, power and Taylor series, and a final exam in this fifth section (part five of five). By enrolling in Coursera's verified certificate program and completing the series' final exam, students in this course can earn a certificate in the series.

This course offers:

• Flexible deadlines: Reset deadlines in accordance to your schedule.
  
• Certificate : Earn a Certificate upon completion
  
• 100% online
  
• Beginner Level
  
• Approx. 14 hours to complete
  
• Subtitles:French, Portuguese (European), Russian, English, Spanish
  
  

Coursera Rating: 4.6/5
Enroll here: https://www.coursera.org/learn/discrete-calculus