Octavian Emperor of the Roman Republic from 27 BC to 14 AD.
Octavian was was the founder of the Roman Principate and is considered the first Roman emperor, controlling the Roman Empire from 27 BC until his death in AD 14.

He was born Gaius Octavius, and when his maternal great-uncle Julius Caesar was assassinated in 44 BC, Octavius was named as his adopted son and heir.

As Augustus, he restored the outward façade of the free Republic. In reality, he held autocratic power over the Republic as a military dictator. His reign initiated the Pax Romana, and the Roman world was largely free from large-scale conflict for more than two centuries, despite continuous wars of imperial expansion.

Augustus died in AD 14 at the age of 75, probably from natural causes.
An AR Denarius struck 41 BC in Military Mint | Ephesos?
Obverse: head of Mark Antony right, M·ANT·I(MP)·(AV)G·III·VIR·R·P·C·M·BARBAT·Q·P

Reverse: head of Octavian Caesar right, CAESAR·IMP·PONT·III·VIR·R·P·C·

Diameter: 18.5 mm
Die Orientation: -
Weight: 3.3 g

Mark Antony, Octavian Caesar, struck in Ephesus? from spring to early summer 41 BC. Moneyer held unusual office quaestor pro praetore in the east in 41-40 BC. He accompanie Mark Antony after the battle of Philippi. He was probably also Curule Aedile. He restored aedicula shrine on the Forum Romanum and fountain of goddess Juturna (Lacus Iuturnae).

Crawford 517/2, RSC I Mark Antony and Augustus 8, BMCRR 103, Sydenham 1181, SRCV I 1504
An AR Quinarius struck 27-29 BC in Rome?
Obverse: CAESAR IMP•VII – Head of Octavian.

Reverse: ASIA RECEPTA – Victory draped, standing looking left, holding wreath in right hand. On cista mystica between two snakes

Diameter: 13.5 mm
Die Orientation: 0 H
Weight: 1.45 g

This issue was struck to commemorate that the province of Asia had accepted Octavian's victory over Marcus Antonius in 30 BC. But where Aegyptus was a client kingdom, and therefore could be captured per se, Asia was a veteran province already, so the regular CAPTA reverse was probably deemed unsuitable, and the RECEPTA reverse was used instead.

RIC 276, RSC 14
An AR Quinarius struck 29-27 BC in Rome?
Obverse: CAESAR IMP VII, Bare head of Octavian facing right

Reverse: ASIA RECEPTA, Victory standing facing left, holding wreath and palm, on top of cista mystica, serpents at left and right

Diameter: 15 mm
Die Orientation: 1 H
Weight: 1.66 g
Uncertain Italian mint, probably Rome, maybe Brundisium, Ephesus in Anatolia has also been suggested. RIC finds the later improbable and says it was probably not a mint outside of Rome.

RSC has this to say:

"The subjection of the Province of Asia occurred in B.C. 30."
RIC I (2nd Ed.) Augustus 276; RSC I Augustus 14; BMC 647
An Fourree Denarius struck 32-29 BC in Italia
Obverse: Bust of Venus facing right, wearing stephane and necklace

Reverse: CAESAR DIVI F, Octavian in military dress, cloak flying behind, advancing left, right arm extended, left hand holding transverse spear

Diameter: 17 mm
Die Orientation: 6 H
Weight: 2.54 g
Uncertain Italian mint, maybe Rome or Brundisium per RIC.

The below quote from forumancientcoins.com puts the coin in context:

"In July 32 B.C., Octavian illegally obtained Antony's will and exposed it to the Roman public: it promised substantial legacies to Antony's children by Cleopatra and left instructions for shipping his body to Alexandria for burial. Rome was outraged, and the Senate declared war against Cleopatra (an important distinction, because Octavian did not want the Roman people to consider it a civil war). Octavian's forces decisively defeated the forces of Antony and Cleopatra at the Battle of Actium in Greece in September 31 B.C. In 30 B.C., Octavian chased Antony and Cleopatra to Egypt where they committed suicide. Octavian became master of the Roman world."
RIC I (2nd Ed.) Augustus 251; RSC I Augustus 70
An AR Denarius struck 29-27 BC in Italia
Obverse: Bare head of Octavian facing right

Reverse: IMP CAESAR, Facing head of Octavian on ithyphallic boundary stone of Jupiter Terminus, winged thunderbolt below

Diameter: 20 mm
Die Orientation: 5 H
Weight: 3.53 g
banker's punch marks

Uncertain mint in Italy, maybe Rome or Brundisium per RIC.

The following quote from forumancientcoins.com puts this coin in context:

"this propaganda referred to Octavian's re-establishment of boundaries in the east after the battle of Actium and review of the client kingdoms established by Marc Antony (in particular return of Roman territory from Cleopatra and her children)"
RIC I (2nd Ed.) Augustus 269a; RSC I Augustus 114
(6) Octavian
An AR Denarius struck summer 37 BC in Military Mint
Obverse: head right, IMP·CAESAR DIVI·F·III·VIR·ITER·R·P·C

Reverse: sacrificial implements: simpulum (ladle), aspergillum (sprinker), ewer (jug), lituus (augural wand), COS·ITER·ET·TER·DESIG

Diameter: 20 mm
Die Orientation: -
Weight: 3.5 g
Italian mint. Octavian as Caesar.
Crawford 538/1, SRCV I 1544, RSC I 91, BMCRR Gaul 116
(7) Octavian
An AE unit struck ca. 38 BC in Italia
Obverse: CAESAR DIVI F, Bare head of Octavian facing right

Reverse: DIVOS IVLIVS, Head of Julius Caesar facing right, wearing laurel wreath

Diameter: 32 mm
Die Orientation: 9 H
Weight: 20.82 g
Southern Italy?
RPC I 620
(8) Octavian
An AR Denarius struck 37 BC in Southern or Central Italy
Obverse: IMP CAESAR DIVI F III VIR ITER R P C, Bare head of Octavian with light mourning beard, facing right

Reverse: COS ITER ET TER DESIG, Pontifical emblems: simpulum, aspergillum, jug, and lituus

Diameter: 21 mm
Die Orientation: 6 H
Weight: 3.57 g
Roman Silver Coins I by Seaby notes that this reverse type probably refers to the renewal of the triumvirate
RSC 91; Cr 538/1; Syd 1334
An AR Denarius struck 30-29 BC in Italy | Rome?
Obverse: Bare head of Octavian facing right

Reverse: IMP CAESAR, A naval and military trophy consisting of the weapons and armor of a defeated enemy on a tree trunk on top of a prow of a captured galley with crossed anchor and rudder

Diameter: 21 mm
Die Orientation: 1 H
Weight: 3.71 g
CNG notes: "The reverse of this denarius depicts a Roman naval and military trophy. Known in Latin as a tropaeum from the Greek τρόπαιον, it typically consisted of the helmet, cuirass, and shields of a defeated enemy arranged on a tree trunk with arm-like branches.

Arranged around its base were additional arms and sometimes bound captives. Here, in place of the additional arms and/or captives the trophy sits on the beak (rostrum) of an enemy warship with a rudder and anchor at its base.

This denarius was part of a series of aurei and denarii that were struck between the autumn of 30 BC and 29 BC and which conveyed a general message of victory and re-foundation.

Sear associated this denarius with a contemporary aureus showing on its reverse a similar trophy housed in a tetrastyle temple decorated with a triskeles in its pediment. The obverse of that coin, a bust of Diana Siciliensis, led him to argue that the aureus commemorated Octavian's important victory over Sextus Pompey at the Battle of Naulochus in 36 BC.

The reverse of this denarius, however, does not specify a particular victor. The most likely possibility is that it commemorates Agrippa's victory over Antony and Cleopatra at Actium the previous September, the final triumph for Octavian, the undisputed master of the Roman Empire."
RIC I (Second Edition) 265a; RSC 119
(10) Octavian
An AR Denarius struck 43 BC in Military Mint
Obverse: C·CAESAR·IMP, Bare head of Octavian facing right

Reverse: Equestrian statue with Octavian, facing left; S·C in exergue

Diameter: 20 mm
Die Orientation: 6 H
Weight: 3.25 g
When a similar ocin was sold at Numismatica Ars Classica NAC AG Auction 94 Lot 16 this was said:

"This is a favourite type coin for me as it is the first appearance of Octavian on a coin. Very often found in low grade, it is nonetheless a very historically important coin. It’s a great piece of history at a low price! Here you see a young Octavian for the first time on the obverse. The reverse shows the equestrian statue that he demanded the senate build for him after putting down the siege at Mutina. It is a brazen display of Octavian’s contempt for the senate."
RSC Augustus 246; BMC Gaul 81; Syd. 1318; Cr. 490/1
(11) Octavian
An AR Denarius struck 30-29 BC in Rome?
Obverse: head right

Reverse: Octavian’s Actian arch surmounted by large statue of Octavian in facing triumphal quadriga; IMP·CAESAR

Diameter: 20.5 mm
Die Orientation: -
Weight: 3.8 g
aut. 30 - sum. 29 BC
RIC I 267, SRCV I 1558, RSC I 123, Sear CRI 422, BMCRR 4348