### Repository

Repository is empty

### Methods of mathematical physics

 Code: 45781 ECTS: 5.0 Lecturers in charge: doc. dr. sc. Marko Erceg - Lectures izv. prof. dr. sc. Marko Vrdoljak - Lectures Lecturers: dr. sc. Petar Kunštek - Exercises English level: 1,0,0 All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

### 1. komponenta

Lecture typeTotal
Lectures 45
Exercises 30
Description:
COURSE AIMS AND OBJECTIVES: Introduction to mathematical modelling through analytical mechanics. Introduction to Partial Differential Equations.

COURSE DESCRIPTION AND SYLLABUS:
1. Newtons Mechanics. Newton axioms. Moments. Energy. Relative sistems of reference
2. Lagrange mechanics. Variational calculus. Lagrange equations. Hamilton equations. Smooth manifolds.
3. Solid body. Tensor of inertia. Eulers equations.
4. Partial differential equations. Sistems of equations of the first order. Dalambert formula for wave equation in one dimension. Poisson formula for the diffusion equation in one dimension. Classification of the second order equations. Separation of variables: wave equation. Fourier sequences. Sturm - Liouville problem. Laplace equation.
Literature:
1. I. Aganović, K. Veselić: Uvod u analitičku mehaniku
2. I. Aganović, K. Veselić: Linearne diferencijalne jednadžbe. Uvod u rubne probleme
3. V. I. Arnold: Mathematical methods of classical mechanics
4. A. P. Arya: Classical mechanics, 2nd edition
5. Z. Janković: Teorijska mehanika, 3. izdanje, skripta
6. C. Lanczos: The variational principles of mechanics, 4th edition
7. M. R. Spiegel: Fourier analysis with applications to boundary value problems, Schaum'e
 1. semester Analiza - Regular study - Mathematics and Computer Science Education 2. semester Analiza - Regular study - Mathematics and Computer Science Education
Consultations schedule:

### Content

Link to the course web page: https://web.math.pmf.unizg.hr/nastava/mmf/
{"ft_lang_label":"__label__en","ft_lang_prob":0.83919626,"math_prob":0.8180579,"size":1118,"snap":"2022-40-2023-06","text_gpt3_token_len":274,"char_repetition_ratio":0.09425494,"word_repetition_ratio":0.12738854,"special_character_ratio":0.22361359,"punctuation_ratio":0.20873787,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97654814,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-01-31T06:09:00Z\",\"WARC-Record-ID\":\"<urn:uuid:5df6d8a7-1955-464c-bfbf-dd279fe42c64>\",\"Content-Length\":\"82559\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0c223a26-4c2f-46ca-aa62-80c6135dcfad>\",\"WARC-Concurrent-To\":\"<urn:uuid:be5ddd2c-6b43-40c6-a471-7fa44bbc36fa>\",\"WARC-IP-Address\":\"31.147.204.146\",\"WARC-Target-URI\":\"http://www.pmf.unizg.hr/math/en/course/mmf_a\",\"WARC-Payload-Digest\":\"sha1:4D7BVPHRDQ2SUREDHJMZF2WUW4NI6Q5I\",\"WARC-Block-Digest\":\"sha1:LO2QHTTS4WQ6BRNZHE6FNXFQYEX3Y2DO\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499845.10_warc_CC-MAIN-20230131055533-20230131085533-00442.warc.gz\"}"}