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Topics
We went over the Course information sheet (pdf available on OpenLab Files), then gave an overview of the main ideas of precalculus
Course information sheet
Links discussed on Course Information sheet:
- Brightspace: https://brightspace.cuny.edu/d2l/home/430658
- OpenLab — create account, join the course group here: https://openlab.citytech.cuny.edu/groups/mat1475-ganguli-fall2024/
- OpenStax textbook: https://openstax.org/details/books/calculus-volume-1
Overview of precalculus concepts – functions and their graphs!
In particular, review linear function and graphing lines:
OpenStax Ch 1 is a review of precalculus — we did Example 1.1 from Sec 1.1:
Please write out the exercises from Checkpoint 1.1 in Sec 1.1 (similar to Example 1.1) which will be part of HW#1.
Also study Figures 2.2, 2.3, and 2.4 and the discussion of them in Sec 2.1 (“A Preview of Calculus”). Additional HW exercises will be assigned for HW#1 related to these figures and concepts: equations/slopes of lines, the rate of change of a function at a point, “secant lines” and their slopes, and tangent lines. Try to understand these–these are the key ideas in calculus!
Review of point-slope equation of a line
In particular, it will be useful to review the point-slope equation of a line (which we can write down when we know a point on the line and the slope of the line)–this is what we will use to write down the equation of the tangent line.
This video gives a good review–you should understand the concepts and techniques discussed in this:
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