Complete Mathematics Masterclass: College & University Level
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 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!
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
Instructor
- 4.7 Instructor Rating
- 4,830 Reviews
- 36,760 Students
- 11 Courses
Hi, my name is Börge, I am a theoretical physicist working in the field for more than 10 years. I have been supervising several Bachelor, Master and PhD students and I am an experienced instructor on physics, mathematics and programming-related topics and want to spark your excitement for science. I will help you to become knowledgeable and successful in the STEM fields. Understanding Science, Technology, Engineering and Mathematics basically guarantees you to have a successful career and to be able to make the world a better place. However, getting into these extremely fascinating topics can be frustrating: They are often taught either too loosely or with a too strong focus on the mathematics.
My all-in-one courses are exactly the courses I wish I had when I was first getting into university-level mathematics, physics & programming!
You will benefit no matter what your skill level is: from ‘interested newcomer’ to ‘experienced university student’. Each beginner friendly course (mathematical basics included) condenses more than a whole semester of university to about 10h-20h of time-efficient videos, exercises, quizzes, and real-world examples.
Join 20,000+ happy students today in one of my comprehensive 5-star courses (most of them have been added to the Udemy Business collection). I am excited to go on this journey together with you :-)
Career as a scientist
Dr. Börge Göbel is a tutor and scientist working in theoretical physics. For his post-doctoral research position in quantum physics at a German university, he has to use and refine his programming (mostly Python and Mathematica), mathematics and physics skills on a daily basis. His 35+ original research publications in the most prestigious and renowned journals (including Nature & Science publishing groups) have been cited 1,500+ times and he has collaborated with outstanding researchers (including Nobel prize laureates) from all over the world.
The secret to do research successfully is not to hole up in complicated equations but to make the difficult concepts simple and accessible – to oneself and to others :-)