Pre-Calculus online class question

In summary, the conversation discussed a plan to avoid taking a pre-calculus class and instead use online resources to prepare for Calculus. The resources from OCW cover topics such as functions, polynomials, exponential and logarithmic functions, and trigonometry. The participants agreed that if the material can be mastered, it will be sufficient preparation for Calculus.
  • #1
Engnr
4
0
Hey guys, I'm trying to avoid taking a pre-calculus class so i can take Calculus in the spring.
I found resources from OCW which I'm going to use in order to learn on my own in the Fall so I'll be prepared in the spring for Calculus. Can somebody please take 10-15 minutes to look over this link and let me know if this covers what the 'normal' Pre-Calc class would cover to prepare me for Calc 1? Thanks a lot!

http://ocw.capilanou.ca/mathematics-statistics/precalculus-mathematics/course-notes
 
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  • #2
How about this? Why don't you take 10-15 minutes and post a summary of what's in the course notes?
 
  • #3
Chapter 2. Functions
• domain, range, expression, table, graph, difference quotient
• graphs (x, f(x)), vertical line test, piecewise, absolute value, greatest
integer, equations, calculator, label axes, window
• intervals of increase, decrease, local maximum, local minimum, average
rate of change
• transformations of functions, vertical shifts, horizontal shifts, reflections,
vertical and horizontal stretching and shrinking, even and odd functions
• extreme values, quadratic, standard form, completing the square,
maximum, minimum values analytically and graphically
• modeling, domains, ranges, pictures, functions
• combining functions, function composition
• inverse functions, one-to-one, horizontal line test, finding inverse
functions, graphing inverse, domains and ranges
Chapter 3. Polynomials
• polynomial functions, end behaviour, zeros, graphs, local extrema, graphs
and expressions
• long division of polynomials, remainder theorem, factor theorem
• applications
• rational functions, horizontal and vertical asymptotes, graphs, limits,
graphs
Chapter 4. Exponential and logarithmic functions
• definitions, graphs, natural exponential and natural log, compound
interest, evaluation analytically and by calculator, properties, common log,
modeling
• laws of logs, expansion, contraction, change of base
• equations, solving
• modeling
Chapter 5,6,7. Trigonometry
• angles, radians, degrees, standard position, arc length, sector area, right
angle trigonometry, 2 special triangles, applications, trigonometric
functions of angles, SOHCAHTOA, signs of functions, ASTC, reference
angles, standard position, identities, Pythagorus, similar triangles
• unit circle, reference number, trigonometric functions of real numbers,
even and odd trig functions, graphs, periods, transformations
• inverse trigonometric functions, domains and ranges, evaluation,
applications
• trigonometric equations, solutions, algebraic, quadratic, identity use

Thanks Mark.
 
  • #4
Looks pretty standard. If you are able to master this stuff on your own, you will be in good shape for Calculus.
 
  • #5
Excellent! Thank you Mark, sorry for being so 'lazy' in the original post. I thought it would be a bit of a 'spam' session if I posted all of that in the original post lol. Thanks again!
 

Related to Pre-Calculus online class question

1. What is Pre-Calculus?

Pre-Calculus is a branch of mathematics that builds upon algebra and trigonometry to prepare students for more advanced courses such as Calculus. It involves topics such as functions, graphs, and equations.

2. Is taking an online Pre-Calculus class a good idea?

It depends on the individual's learning style and circumstances. Online classes provide flexibility and convenience, but they also require self-motivation and discipline. It's important to make sure the online class is accredited and taught by a qualified instructor.

3. What topics are typically covered in a Pre-Calculus online class?

Topics covered in a Pre-Calculus online class may include functions, polynomial and rational functions, exponential and logarithmic functions, trigonometry, analytic geometry, and basic concepts of Calculus.

4. How can I succeed in an online Pre-Calculus class?

To succeed in an online Pre-Calculus class, it's important to stay organized and manage your time effectively. Make sure to attend all virtual lectures and participate in online discussions. Practice regularly and seek help from the instructor when needed.

5. Can I use a calculator in a Pre-Calculus online class?

It depends on the class and instructor's policies. Some online Pre-Calculus classes may allow the use of calculators for certain assignments or exams, while others may have restrictions on calculator usage. It's important to check with the instructor or syllabus for specific guidelines.

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