The Chicago Manual of Style offers two different systems of citing: notes-bibliography and author-date.
Which one should I use? That depends on the discipline for which you are writing. Those whose disciplines fall within the realm of the humanities (i.e. literature, history, or the arts) will typically use what the manual refers to as the notes-bibliography system, which employs the use of footnotes or endnotes that correspond to raised superscript numbers in the text.
Others whose disciplines fall under the sciences and social sciences will typically use the author-date system in which brief in-text citations set off by parentheses correspond to full bibliographic citations arranged alphabetically in the reference list.
Ultimately, the choice is up to the professor or instructor of the course! Please refer to your syllabus or contact your instructors.
Notes-Bibliography
Notes (Footnote or Endnote):
1. First Lastname, Title of Book Italicized (Location: Publisher Name, Year), page(s).
2. Ted Sorensen, Kennedy (New York: Harper Perennial, 2009), 380-99.
Shortened Notes (for same source):
3. Lastname, Title of Book Italicized, page(s).
4. Sorensen, Kennedy, 380-99.
Bibliographic Entry (in the reference list alphabetically):
Lastname, First. Title of Book Italicized. Location: Publisher Name, Year.
Sorensen, Ted. Kennedy. New York: Harper Perennial, 2009.
Author-date
In-text (as they appear):
(Sorensen, 2009, 380-99)
Bibliographic entry (in alphabetical order & same format as above):
Sorensen, Ted. 2009. Kennedy. New York: Harper Perennial.
Book (single author): provided in the examples in the box above
Book (multiple authors):
Notes:
4. Aaron Thompson and Joseph Cuseo, Infusing Diversity & Cultural Competence into Teacher
Education, (Dubuque, IA: Kendall Hunt Publishing, 2012), 64-70.
Bibliography:
Thompson, Aaron, and Joseph Cuseo. Infusing Diversity & Cultural Competence into Teacher
Education. Dubuque, IA: Kendall Hunt Publishing, 2012.
In-text: (Thompson and Cuseo, 2012, 64)
Book Chapter:
Notes:
6. Adnan Nasution, "National Unity: Respect for and Protection of Human Rights," in The Indonesian Dream: Unity, Diversity and Democracy in Times of Distrust, ed. Thang Nguyen (Singapore: Marshall Cavendish International, 2004), 148.
Bibliography:
Nasution, Adnan. "National Unity: Respect for and Protection of Human Rights."
In The Indonesian Dream: Unity, Diversity and Democracy in Times of Distrust, edited by
Thang Nguyen, 148-155. Singapore: Marshall Cavendish International, 2004.
In text: (Nasution 2004, 151)
Notes:
1. First Lastname, "Title of article," Periodical Title Italicized volume, issue# (year): page. URL or doi.
4. Robert Rix, "Magnetic Cure in Blake's The French Revolution," Explicator 68, no. 3 (2010): 167. http://doi.org/10.1080/00144940.2010.499078.
Bibliography:
Rix, Robert. "Magnetic Cure in Blake's The French Revolution." Explicator 68, no. 3 (2010): 167-
71. http://dx.doi.org/10.1080/00144940.2010.499078
In-text: (Rix 2010, 168-69)
Notes:
2. "About: Mission, Vision, and Values," Texas Tech University Libraries, accessed September 14, 2017, https://www.depts.ttu.edu/library/about/admin/mission.php.
3. Tomás Saraceno, "Would You Live in a Floating City in the Sky?" filmed April 2017 at TED2017, Vancouver, BC, video, 11:03,
https://www.ted.com/talks/tomas_saraceno_would_you_live_in_a_floating_bubble_in_the_sky
Bibliography:
Saraceno, Tomás. "Would You Live in a Floating City in the Sky?" Filmed April 2017 at TED2017,
Vancouver, BC, video, 11:03.
https://www.ted.com/talks/tomas_saraceno_would_you_live_in_a_floating_bubble_in_the_sky
Texas Tech University Libraries. "About: Mission, Vision, and Values," Accessed September 14, 2017.
https://www.depts.ttu.edu/library/about/admin/mission.php.
In-text:
(Texas Tech University Libraries, n.d.)
(Saraceno 2017)