4.75 out of 5
13 reviews on Udemy

Complete Mathematics Masterclass: College & University Level

All the Applied Mathematics Needed in Science, Programming, Engineering, IT & Business - Theory, Examples & Exercises
Dr. Börge Göbel
401 students enrolled
English [Auto]
Deepen your understanding of school mathematics & go beyond: All mathematical concepts that you need & learn at university
College-level: Functions, Limits, Derivatives, Integrals, Probabilities & Vectors
University-level: Derivatives & Integrals in 3 dimensions, Differential equations & Vectors in different coordinate systems
University-level: Complex numbers, Sequences, Series, Taylor expansions, Matrices, Eigensystems & Fourier transform

This course is for everyone who wants to learn applied mathematics on a college and university level!
It is a complete course containing all relevant topics like Calculus, Algebra, Statistics & Stochastics.

Advanced mathematics is relevant in many fields: Programming & IT, Engineering, Science (Physics, Chemistry, Biology, Pharmacy, …), Business & Economics. This course will teach you all you have to know in 24 hours.

You are kindly invited to join this carefully prepared course in which we derive the following concepts from scratch. I will present examples and give you exercises (incl. solutions) for all topics.

College-level mathematics (10 hours)

  • Limits of functions

  • Derivatives & Integrals in 1 dimension

  • Vectors in cartesian coordinates

  • Stochastic & Probability distributions

University-level mathematics (14 hours)

  • Sequences & Series

  • Taylor expansions

  • Complex numbers

  • Derivatives & Integrals in multiple dimensions

  • Alternative coordinate systems

  • Differential equations

  • Matrix algebra

  • Fourier transforms & Delta distribution

Why me?

My name is Börge Göbel and I am a postdoc working as a scientist in theoretical physics.
I have refined my advisor skills as a tutor of Bachelor, Master and PhD students in theoretical physics and have other successful courses here on Udemy.

I always had a passion for the mathematical side of science. Still today, I use the concepts of this course on a daily basis when I am programing on the PC or when I have to solve mathematical problems analytically on a sheet of paper.

I hope you are excited and I kindly welcome you to our course!

You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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25 hours on-demand video
31 articles
Full lifetime access
Access on mobile and TV
Certificate of Completion


Working hours

Monday 9:30 am - 6.00 pm
Tuesday 9:30 am - 6.00 pm
Wednesday 9:30 am - 6.00 pm
Thursday 9:30 am - 6.00 pm
Friday 9:30 am - 5.00 pm
Saturday Closed
Sunday Closed