Complete Mathematics Masterclass: College & University Level

All the Applied Mathematics Needed in Science, Programming, Engineering, IT & Business - Theory, Examples & Exercises

What you'll learn
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

Requirements
High school-level mathematics (grade 10). It will be extremely difficult to follow without this skill.
If you want to start directly with the university-level part: Knowledge about vectors, derivatives & integrals (NOT mandatory, because we discuss those topics in the first part of the course)

Description
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 functionsDerivatives & Integrals in 1 dimensionVectors in cartesian coordinatesStochastic & Probability distributionsUniversity-level mathematics (14 hours)Sequences & SeriesTaylor expansionsComplex numbersDerivatives & Integrals in multiple dimensions Alternative coordinate systemsDifferential equationsMatrix algebraFourier transforms & Delta distributionWhy 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!

Who this course is for
Perfect for everyone who is in school or has just finished school and wants to prepare for university - Get the ultimate head-start!
University students in programming, IT, engineering and science (physics, chemistry, pharmacy, …) who want to learn or repeat the mathematical concepts required for their field of study
Students who want to revise what they have learned & are curious about what comes after school mathematics
Employees in industry, IT, finance, economy & other companies who want to understand the relevant mathematical background