Description

• Submit the pdf and LATEX versions inside an archive of type tar, zip, or rar
• Add any referenced article to the archive
• Follow the group submission guidelines
• Any work that fails to comply with the previous requirements will be ignored
Ex. 1 — Writing mathematics
Typeset the following paragraph from Spivak [2]. Detail the intermediate missing steps.

Ex. 2 — LATEX
Do all the exercises from section 1 in Chapter 9.
Ex. 3 — Group exercise

Group 1: 0 – 3;
Group 2: 4, 14, 19;
Group 3: 5, 6; Group 4: 7, 8 ;
Group 5: 9, 10;
Group 6: 11 – 13; Group 7: 15, 20;
Group 8: 16 – 18;

Ex. 4 — Grammar
1. What are the plurals of the following words:
(a) means (e) offspring (i) stimulus (m) diagnosis
(b) paralysis (f) criterion (j) fungus (n) vita
(c) curriculum (g) Chinese (k) alumnus (o) American
(d) oasis (h) antenna (l) series (p) synopsis
2. Fill in the blanks with a/an, the or nothing:
(a)Decline and Fall of Roman Empire
(b) complexity of problem of decline and fall of the Roman Empire is made evident by wide variety of causes that are emphasized in varying degrees by different authors.
(c) Fortunately, concise formulation of Edward Gibbon serves as widely accepted basis for modern discussion of problem.
(d) According to Gibbon, empire reached its peak during administration of two
Antonines.
(e) After that, however, extent of Roman conquest became too great to be managed
by Roman government, and decline began.
(f) military government was weakened and finally dissolved as barbarians were allowed to constitute ever-growing percentage of Roman legions.
(g)victorious legions began to dominate and corrupt government, weakening it at time when it most needed strength to overcome other problems. References
[1] P. R. Halmos. How to write mathematics. Enseignement mathémathique, 16:123–152, 1970.
[2] M. Spivak. Calculus. Publish or Perish, 2008.