Currently, I am reviewing algebra. I have forgotten what sine and cosine are, even though I took a few math courses in school. I wonder what the best sequence is to follow to start reviewing and learning math? Is self-learning possible in your experience? Could you please share your learning experience if you work in math-related or math-required fields? Thanks a ton for sharing.
learning sequence to follow
- Thread starter Jose Z
- Start date
The Highlander
Senior Member
- Joined
- Feb 18, 2022
- Messages
- 1,202
Hi @Jose Z
Welcome to freeMATHhelp.
(And a Happy New Year to all members!)
Sine and Cosine (and Tangent) are all RATIOS.
Here is a simple summary that you might wish to copy & keep (just right click and select "Save image as...").
Hope that helps.
The Highlander
Senior Member
- Joined
- Feb 18, 2022
- Messages
- 1,202
If you are going to be working on Trigonometry problems then these results are also important to know...
See if you can successfully fill in all the answers correctly before looking at the completed worksheet (below)...
Hope that helps.
See if you can successfully fill in all the answers correctly before looking at the completed worksheet (below)...
Hope that helps.
I recommend Open Stax from Rice University.
OpenStax | Free Textbooks Online with No Catch
OpenStax offers free college textbooks for all types of students, making education accessible & affordable for everyone. Browse our list of available subjects!
These are books that intend to bridge the gap between the widely varying high school levels and what is necessary at college to start on a common ground of knowledge.
Hi The Highlander,If you are going to be working on Trigonometry problems then these results are also important to know...
See if you can successfully fill in all the answers correctly before looking at the completed worksheet (below)...
Hope that helps.
Happy New Year!
Thank you for taking the valuable time to answer my question. The examples are both illustrative and clear. Just one more quick question, if you don’t mind. Should we derive the formula in the first place instead of using it right away? For example, the value of x in the quadratic formula. Is it more conducive to learning by memorizing the formula in the first place than exploring around to have a deeper understanding of the concept?
Hi fresh_42,I recommend Open Stax from Rice University.
OpenStax | Free Textbooks Online with No Catch
OpenStax offers free college textbooks for all types of students, making education accessible & affordable for everyone. Browse our list of available subjects!openstax.org
These are books that intend to bridge the gap between the widely varying high school levels and what is necessary at college to start on a common ground of knowledge.
Thanks a lot for recommending these valuable textbooks. They undoubtedly will serve as an indispensable reference resource. I am moving on to trigonometry in the next session of reviewing. For the variety, I need some guidance on the following schedule.
Algebra, trigonometry (formal logic), Pr-calculus and trigonometry (linear algebra), Calculus I (Cryptography and graph theory), Calculus II, Probability (Operations Research), Combinatorics, Statistics, (Calculus III, Game theory),
The ones in parentheses are optional in sequence and can be rearranged as interest dictates.
Would the course pathway vary across majors such as pure math, physics, electrical engineering, and economics?
Happy New Year!
Happy New Year!
Your selection looks fine.
I haven't looked at all the books. Of course, those books represent basics, which means lessons that should be known in any study. I guess you wouldn't have to know trigonometry a lot if you were heading towards computer science (although I cannot rule it out completely). But you will definitely need trigonometry in mathematics, physics, and engineering. Discrete mathematics, the mathematics of finite groups and fields, would be valuable, e.g., in cryptography, but not so much in physics. And you would be surprised how much mathematics is necessary in macroeconomics, less so in legal science.
It's a fascinating comment! Honestly, we didn't have any discrete mathematics course as undergraduates at the time(1999). I have always been interested in interdisciplinary applications of mathematics, and whether math would serve as a tool for thought experiments or even help solving some of life's mysteries and other puzzling common beliefs.
All the best!
All the best!