MHB When Should You Take Calculus and Analytic Geometry?

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SUMMARY

The discussion centers on the course "Calculus and Analytic Geometry" and its placement in the academic sequence relative to Calculus 1, 2, and 3. Participants express curiosity about whether this course is offered after Calculus 3 and its difficulty level compared to that course. The conversation highlights that many institutions integrate analytic geometry into their calculus curriculum, particularly in introductory courses. Additionally, there is a mention of the historical context of textbooks used for these subjects, emphasizing their complexity and depth.

PREREQUISITES
  • Understanding of the calculus sequence (Calculus 1, 2, and 3)
  • Familiarity with analytic geometry concepts
  • Knowledge of conic sections and transformations in geometry
  • Experience with advanced mathematics textbooks
NEXT STEPS
  • Research the curriculum structure for "Calculus and Analytic Geometry" at various institutions
  • Explore the differences in content between Calculus 3 and "Calculus and Analytic Geometry"
  • Investigate the historical significance of textbooks in mathematics education
  • Study the applications of analytic geometry in higher-level mathematics
USEFUL FOR

Students planning their mathematics coursework, educators designing curriculum, and anyone interested in the integration of calculus and geometry in advanced mathematics studies.

mathdad
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My question is not a math question.
I know about the calculus sequence (CAL 1, 2 and 3). I plan to go through all 3 in time. There is no rush for me. However, I know there is a course by the title of Calculus and Analytic Geometry. I want to know when this course is given. Is it given after Calculus 3? Is the course harder than Calculus 3? What is the course all about? I like the title.
 
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That was what the Calc I-III courses I took had in their titles. I would say most schools have elementary calculus courses that include treatments of analytic (coordinate) geometry. It was also taught in our Pre-Calculus course, but of course you can do more with it after learning some calculus. It included things like conic sections and translation/rotation of axes.
 
Back in the 1990s, a former friend had a textbook by the title Calculus and Analytic Geometry. I was so impressed with the math content, but of course, did not grasp one single page. I remember the book was very tedious and thick. There must have been over 300 pages and heavy.
 
My old Calc textbook is nearly 1200 pages, but it served for 3 terms. :)
 
RTCNTC said:
Back in the 1990s, a former friend had a textbook by the title Calculus and Analytic Geometry. I was so impressed with the math content, but of course, did not grasp one single page. I remember the book was very tedious and thick. There must have been over 300 pages and heavy.

Remember not all books are intended to be read cover to cover :p. Although one can often benefit from doing so.

My differential equations lecturer often referred to our text as a 'phone book' in the sense that it's primary purpose is to serve as a reference for looking up theorems or definitions etc. Such books do not cater well to the autodidact however.
 
MarkFL said:
My old Calc textbook is nearly 1200 pages, but it served for 3 terms. :)

I purchased one of those to use after completing my David Cohen Precalculus self-study (not every question, of course). I still have not found a better Precalculus book than David Cohen's Third Edition.
 
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