# Mathematics Autumn 2023

Lecturer
Dr. Cornelia Busch
Coordinator
Victor Jaeck

## Content

Basic mathematical knowledge for engineers. Mathematics as a tool to solve engineering problems.

## Syllabus

1. Linear algebra (systems of linear equations, matrices, eigenvectors),
2. Calculus,
3. Multivariable calculus,
4. Differential equations,

## Lecture notes

Here is the complete lecture notes for the course: Mathematics
Date Notes Comments
Tuesday 18.09.23 Lecture 1 Here are few help tables for exercises: Antiderivatives Derivatives Exp and Log functions Trigonometry
Tuesday 26.09.23 Lecture 2.1, Lecture 2.2 No integral yet
Tuesday 03.10.23 Lecture 3 introduction, Lecture 3.1, Lecture 3.2
Tuesday 10.10.23 Lecture 4.1, Lecture 4.2
Tuesday 17.10.23 Lecture 5.1, Lecture 5.2
Tuesday 24.10.23 Lecture 6.1, Lecture 6.2
Tuesday 31.10.23 Lecture 7.1, Lecture 7.2
Tuesday 07.11.23 Lecture 8.1
Tuesday 14.11.23 Lecture 8.2, Lecture 9.1, Lecture 9.2
Tuesday 21.11.23 Lecture 10.1, Lecture 10.2
Tuesday 28.11.23 Lecture 11.1, Lecture 11.2
Tuesday 05.12.23 Lecture 12.2 We didn't study the min max of functions with multiples variables. These slides are only for interest and to practice min, max and derivatives of functions.

## Exercise Classes

You can Hand in few exercises for corrections each weeks that you indicate at the beginning of your copy.

Exercise sheet Due by Solution
Problem set 1 06.10.2023 Solution 1
Problem set 2 13.10.2023 Solution 2
Problem set 3 20.10.2023 Solution 3
Problem set 4 27.10.2023 Solution 4
Problem set 5 03.11.2023 Solution 5
Problem set 6 10.11.2023 Solution 6
Problem set 7 17.11.2023 Solution 7
Problem set 8, Midterm from 2017 24.11.2023 Solution 8, Midterm solution
Midterms 22, Midterms 20 Midterms 22 solution, Midterms 20 solution
Problem set 9 08.12.2023 Solution 9
Problem set 10 15.12.2023 Solution 10
Problem set 11 22.12.2023 Solution 11
Ancien exam 2020, Ancien exam 2021 Solution ancien exam 2020, Solution ancien exam 2021

## Bibliography

• T. M. Apostol, Calculus, Volume 1, One-Variable Calculus with an Introduction to Linear Algebra, 2nd Edition, Wiley,
• T. M. Apostol, Multi-Variable Calculus and Linear Algebra with Applications, 2nd Edition, Wiley,
• U. L. Rohde, Introduction to differential calculus : Systematic studies with engineering applications for beginners, Wiley,
• U. L. Rohde, Introduction to integral calculus : Systematic studies with engineering applications for beginners, Wiley,
• S. Lang, Introduction to Linear Algebra, 2nd edition, Springer New York,
• S. Lang, A First Course in Calculus, 5th edition, Springer New York,
• W. L. Briggs, L. Cochran, B. Gillett, Calculus, Early transcendentals, 2nd edition, 2014, Pearson Education Limited,
• G. B. Thomas, M. D. Weir, J. Hass Thomas’ Calculus: Early Transcendentals: Single Variable, 13th ed., 2014, Pearson,
• G. B. Thomas, M. D. Weir, J. Hass Thomas’ Calculus: Multivariable, 13th ed., 2014, Pearson.