€65.00

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Course description

Calculus 1B starts with a topic many students are already familiar with: integration theory. The integral of a function of one variable is introduced and integration techniques such as substitution and integration by parts are discussed.
Next, a short introduction into power series is given, with Taylor series as its main application.Another new concept that is introduced is that of a differential equation. The idea behind a differential equation is discussed. A method for solving first-order linear differential equations is presented in detail. A method for solving second-order linear differential equations is also presented, but several details are left out.Before second-order linear differential equations are discussed, the set of complex numbers is introduced. In the complex number system, the equation x2 + 1 = 0 has a solution. Attention is paid to the geometric representation of a complex number and to algebraic operations on complex numbers.

Topics

- Integration
- Integration techniques
- Series
- First-order differential equations
- Complex numbers
- Second-order differential equations

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Course Schedule

- 29 Jan at 13:00 – 15:00
**Integration** **&** **Integration techniques**
- 30 Jan at 18:00 – 20:00
**Series** **& Complex numbers**
- 31 Jan at 18:00 – 20:00
**First-order differential equations**
- 1 Feb at 18:00 – 20:00
**Second-order differential equations**
- 2 Feb at 18:00 – 20:00
**Sample tests solving**

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Alexey Chechin

Mathematics Trainer

Alexey is a technical student with an engineering background and remarkable academic achievements. Being alongside a TA in the maths line of the University of Twente, he is going to arrange effective and resultant exams preparation at MathMe.

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Renat Piscorschi

Mathematics Trainer

Alongside taking the Honors track in Mathematics and being interested in engineering studies, Renat Piscorschi will guide students through the training course. Having remarkable experience in assisting students, and preparing them for the exams, Renat has been approved for the role of the MathMe Academy trainer.

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Andrei Popovici

Mathematics-Probability Trainer

Andrei, being a TA at the faculty of Applied Mathematics and also an Honours student of the University of Twente is our trainer for Calculus 1B.