1. Metrics - abstract concept, practical use

2. Metrics - topology, general principles and results

3. Differential Calculus as direct applications of linear algebra in geometric analysis

4. Integral Calculus as direct applications of linear algebra in geometric analysis

5. Ordinary differential equations, basic principles and numerical approach

6. Ordinary differential equations as flows of vector fields, qualitative approach

7. Ordinary differential equations in modelling

8. Vector fields and differential forms, implicit function theorem

9. Integration revisited, Stokes theorem and classical vector calculus

11. Remarks on Variational Calculus, gradient descent applications

12. A few glimpses towards the concepts of holomorphy