Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lectures

Information

where

Lectures

• 1 - Logic and argumentation

• 2 - Quantifiers and induction

• 3 - Sets and mappings

• 4 - Fields

• 5 - Complex numbers

• 6 - Polynomials

• 7 - Approximation and convergence

• 8 - Completeness

• 9 - Series

• 10 - Continuity

• 11 - Intermediate value theorem

• 12 - Exponential function

• 13 - Trigonometry

• 14 - Differentiability

• 15 - Mean value theorem

• 16 - The number ${}\pi$

• 17 - Taylor series

• 18 - Integration

• 19 - Fundamental theorem of calculus

• 20 - Rules for integration

• 21 - Linear systems

• 22 - Matrices and vector spaces

• 23 - Bases and dimension

• 24 - Linear mappings

• 25 - Invertible matrices

• 26 - Determinants

• 27 - Eigenspaces

• 28 - Diagonalizability

Exercise sheets

• Exercise sheet 1

• Exercise sheet 2

• Exercise sheet 3

• Exercise sheet 4

• Exercise sheet 5

• Exercise sheet 6

• Exercise sheet 7

• Exercise sheet 8

• Exercise sheet 9

• Exercise sheet 10

• Exercise sheet 11

• Exercise sheet 12

• Exercise sheet 13

• Exercise sheet 14

• Exercise sheet 15

• Exercise sheet 16

• Exercise sheet 17

• Exercise sheet 18

• Exercise sheet 19

• Exercise sheet 20

• Exercise sheet 21

• Exercise sheet 22

• Exercise sheet 23

• Exercise sheet 24

• Exercise sheet 25

• Exercise sheet 26

• Exercise sheet 27

• Exercise sheet 28

Further material

• List of definitions
• Important theorems

Forum

Literature

Links

• 1 - Logic and argumentation

• 2 - Quantifiers and induction

• 3 - Sets and mappings

• 4 - Fields

• 5 - Complex numbers

• 6 - Polynomials

• 7 - Approximation and convergence

• 8 - Completeness

• 9 - Series

• 10 - Continuity

• 11 - Intermediate value theorem

• 12 - Exponential function

• 13 - Trigonometry

• 14 - Differentiability

• 15 - Mean value theorem

• 16 - The number ${}\pi$

• 17 - Taylor series

• 18 - Integration

• 19 - Fundamental theorem of calculus

• 20 - Rules for integration

• 21 - Linear systems

• 22 - Matrices and vector spaces

• 23 - Bases and dimension

• 24 - Linear mappings

• 25 - Invertible matrices

• 26 - Determinants

• 27 - Eigenspaces

• 28 - Diagonalizability