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We have chosen the Become a Geometry Master course from Udemy as our top online geometry course for two reasons. First, the breadth and depth of the content is outstanding.
Secondly, the approach is beginner-friendly but also suitable as a refresher for advanced students. By the end of this course, you’ll officially be a geometry master, and you’ll have the certificate to prove it!
“Geometry is the archetype of the beauty of the world.”Johannes Kepler
Geometry is one of three fundamental areas of mathematics, alongside calculus and algebra. Geometry is, in short, the study of shape, size, and space. It’s primarily used to calculate the relationships between both two-dimensional and three-dimensional shapes.
Geometric calculations and techniques can be applied to just about anything in life, from tracking the movements of celestial objects to wrapping your mom’s birthday present.
This is something that many mathematicians have remarked on, including astronomer Johannes Kepler and the famous Stephen Hawking, who distinguished geometry from the other ‘boring’ parts of mathematics.
Because geometry is so relevant to our everyday lives, knowledge on this subject can open a lot of doors career-wise.
It’s also a great subject to delve into if you want to develop your logical thinking skills, spatial awareness, and understanding of the universe!
With the range of courses offered by popular online platforms like Udemy and Coursera, there’s no need to delay your plunge into the mind-blowing world of geometry any longer!
We’ve chosen what we consider to be the best five online geometry courses, and we’ll be reviewing them for you today.
Becoming a geometry master might seem like an impossible feat for some, but with the Become a Geometry Master course via Udemy, it’s easy!
Led by the excellent online mathematics educator Krista King, this geometry course is aimed at students but can be taken by anyone of any age. The only requirements are a good grasp of basic arithmetic, algebra, and equation solving.
This course is typically priced at $199.99, which might seem like a lot of money (and it is). However, the sheer amount of content included with the Become a Geometry Master course makes the investment more than worthwhile for anyone with the budget to spare.
There are also frequent offers and discounts on this course, so keep an eye out for these if you want to snag a great deal!
Purchasing Become a Geometry Master will unlock your access to 232 video lessons (totaling 8 hours), complete with summary notes, quizzes, and even a bonus workbook!
Topics covered in the lessons include geometric logic, lines and angles, studies of individual shapes, area and perimeter, volume and surface area, transformations, and more!
You truly will be a geometry master by the time you complete this course, and when you do, you’ll receive your certificate of completion to celebrate your hard work.
This is a comprehensive course supplemented with high-quality resources, and it’s equally suitable for complete beginners and more advanced mathematicians seeking a refresher.
For all of these reasons, the Become a Geometry Master course is our top pick for the best online geometry course.
As with most disciplines, the most difficult part of learning geometry is actually getting started. The Introduction to Geometry course by SchoolYourself, available through EdX, makes this process easy and fun while imparting an excellent foundation of knowledge.
This course is perfect for beginners because it’s taught on the assumption that students have not studied geometry before.
The content starts with the very basics, like how to measure angles, and gradually progresses onto more complex (but still basic) concepts like measuring the surface area and/or volume of a 3D shape.
Fun exercises are also included, so you get to apply your knowledge to problems like estimating the size of the Earth.
Students are generally expected to spend about 14 weeks completing the course, assuming that 4 to 6 hours per week are dedicated to learning.
The recommended level of knowledge going into this course is an understanding of basic algebra. Otherwise, there are no prerequisites.
There are also no time restrictions. Once you’ve enrolled in the course, you have access to the content for life, so you can take all the time you need.
Enrollment is completely free, so if you’re just looking to improve your understanding of geometry or get a head start on schoolwork, you won’t need to pay anything.
However, if you want to be certified at the end of the course (for academic or career progression), there is a certification charge of £36 ($49.66).
Admittedly, geometry isn’t a particular high school highlight for most students – but if more highschoolers knew about courses like Khan Academy’s High School Geometry, it could be!
High School Geometry is a completely free course created and directed by Khan Academy – a non-profit organization dedicated to providing accessible, affordable educational resources.
The High School Geometry course is split into ten subsections, each of which is broken down into smaller topics.
‘Mastery points’ are available on completion of each topic, so you can quantitatively track your progress and keep yourself motivated. You can take as long as you like to complete all the units.
Topics covered by the course material include transformations, properties and proofs, congruence, trigonometry, and more. The course concludes by touching on ‘solid geometry’ (3D shapes) and offering a ‘course challenge’ test to assess what you’ve learned.
However, while this is definitely the perfect geometry course for high school students, or more advanced students hoping to consolidate their existing knowledge, it’s not the best option for those seeking direct career or academic progression.
There’s no option for certification at the end of this course, so it’s only designed for use as a personal learning tool.
Did you know that there’s more than one type of geometry? Confusing, we know, but bear with us.
The most fundamental and basic type of geometry is called Euclidean geometry, which is what the other courses on this list have been based around.
The other common form of geometry is spherical geometry. The difference, in layman’s terms, is that Euclidean geometry is used to plot lines, whereas spherical geometry plots circles.
This course, available through Udemy, is based around the discipline of projective geometry. Projective geometry is similar to Euclidean geometry in the sense that it is concerned with straight lines as opposed to circles.
Unlike Euclidean geometry, however, it doesn’t deal with angles. Instead, it centers primarily around shape projection and perspective. This is the kind of geometry involved in calculating shadow projection and lines of sight.
The Projective Geometry course by Dr. Michael Sun might not be the most popular geometry course out there, but we think it’s one of the best online learning experiences for geometry lovers who want to push themselves and the boundaries of traditional geometry.
Dr. Sun teaches 49 different courses through Udemy and taught over 1,800 students to date.
On this course, students can expect to learn about the fundamentals of projective geometry, how it intersects with Euclidean geometry before moving onto more advanced topics such as cross-ratio proofs, further projective geometry, and homogenous coordinates.
Separate schedules have been set up for different ability levels from Junior to Senior, so everyone can learn at their own pace.
Access to the course materials lasts for a lifetime, and the video lectures total over 40 hours of learning time. You get access to all of this for $199.99, plus a certificate of completion at the end.
Intermediate geometry students are sure to learn something from this course and come away with new and exciting perspectives on mathematics.
However, we wouldn’t recommend this course to anyone who doesn’t already have a firm grasp of Euclidian geometry and intermediate-level mathematical concepts.
Since we’re now on the subject of non-traditional geometry, this course from Coursera on Computational Geometry presents the perfect challenge for students with a basic mathematical understanding and a grasp of at least one programming language.
Computational Geometry is an algorithmic branch of geometry that uses computerized algorithms to solve geometric problems. Certifiable knowledge in this area of mathematics can open a lot of doors in the design, graphics, and computing industries.
The Computational Geometry course materials are designed to be taken in over a period of 5 weeks and should take approximately 19 hours to complete, although deadlines are flexible, so it’s easy to work this program around your other commitments.
Subjects covered include point inclusion, convex hulls, intersection, polygon triangulation, and orthogonal range search.
Once you’ve worked your way through all the course materials, you have the option of purchasing a certificate of completion for an additional fee. Other than the certificate, all the course material is completely free!
Despite how fascinating and widely applicable geometry is as a subject, it can be tricky to pick up at first.
That’s why it’s so important to choose a geometry course that’s compatible with your personal requirements to give yourself the best chance of fully understanding and enjoying the content.
The first thing to make sure of is that the course you’re thinking of enrolling in is taught at the appropriate level for you.
The courses we’ve reviewed in this article range from being completely beginner-friendly to quite advanced, so it’s crucial to make your selection according to your level of expertise.
Most of the prerequisites (where they apply) for the courses listed above are stated for guidance purposes.
While there’s often nothing to stop you from enrolling in a course aimed at more advanced students than yourself, we would recommend adhering to the guidelines to make sure you get as much as you can out of the course.
Taking an advanced course right off the bat may seem like a shortcut if you feel you can handle it, but you run the risk of paying for content that you don’t fully grasp.
Levels of understanding in geometry are often expressed as ‘beginner,’ ‘intermediate,’ or ‘advanced.’ Beginner courses can generally be taken by anyone. However, many of them suggest a basic understanding of arithmetic and/or algebra.
Algebra will not normally be necessary in the early stages of learning geometry, though. So there’s no reason not to get started right away – especially if the course is free or has unlimited access.
We should also mention that some courses (see Dr. Michael Sun’s ‘Projective Geometry’) split the course material into different schedules for different ability levels.
This content delivery method allows students of various abilities to study the same course at the speed and level that’s right for them.
You’d be forgiven for assuming that one geometry course must be much like another, but as you can see from the courses we’ve delved into today, this is far from the case.
Depending on your interests, learning style, and experience level, the content of a particular geometry course might suit you much more than the other courses on offer.
First, as we’ve established, there are different types of geometry. Most of the courses on our list focus on Euclidean geometry because this is the type of geometry most often taught in school and needed in certain careers.
However, we’ve also included courses on projective geometry and computational geometry.
We would recommend the projective and computational geometry courses to more advanced or intermediate mathematicians who are looking for a challenge or a new perspective on geometry and mathematics as a whole.
The next thing to investigate is how a course is delivered. Since these are online courses, they will all include the standard video delivery to greater or lesser degrees.
However, this video material can be supplemented by a range of other resources that may or may not work for you. For example, there might be problem exercises or quizzes along the way.
In some cases, you might be required to sit a final test or exam. This kind of testing is something that causes anxiety in a lot of students, so check the course structure or syllabus carefully for anything like this.
Taking an online geometry course on top of your other life commitments can seem exhausting. However, no matter how busy you are, there’s definitely a course on our list that can work around your schedule.
The first thing to remember is that the majority of online geometry courses have some level of flexibility in terms of lessons and deadlines.
Most have a suggested schedule, although this is not set in stone, and those that do have set schedules often allow you to reschedule.
If you’re worried about your ability to stick to a set schedule on top of everything else in your life, we’d recommend opting for a course that comes with unlimited access. This way, you can continue to access the content for as long as you like without pressure.
Many students who seek it out do so because, for whatever reason, they haven’t had the opportunity to study a specific subject in school. Or perhaps the opportunity was/is there, but other factors surrounding accessibility have gotten in the way.
This is why accessibility in terms of cost and inclusivity is so important in online education.
While many of the geometry courses online (including those on our list) do charge an enrollment fee, we have included some that are either completely free or free to access without certification.
Usually, the certification cost for otherwise free courses is much lower than the total enrollment fee for other courses.
Many paid courses also have financial aid available for those students who need it, so don’t hesitate to get in touch with course directors about this via the learning platform.
We know that geometry isn’t exactly most people’s idea of fun. The idea of taking a course in geometry outside of a mandated high school curriculum can seem like a bit of a drag to many prospective students.
However, not only can geometry be a lot of fun if taught in the right way, but there are many compelling reasons why taking an online geometry course could be one of the best decisions of your life!
Certain degrees and career paths (e.g., STEM) require a level of geometry higher than that typically taught in schools.
Moreover, some jobs might require you to have a grasp of a non-traditional or more complex form of geometry, such as computational or projective geometry. Taking an online course in the required subject is generally a more affordable alternative to in-person tuition.
Moreover, learning geometry can enhance your life outside of academic or career pursuits.
Understanding how shapes and space interact with one another can offer a fascinating perspective on the world around you, leading you to question and notice things you never have before.
Jacob has a background in finance and engineering. Outside of his day job, he is a lifelong learner, who enjoys reading, taking online courses, and writing about what he's learned.
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