Description
Precalculus 2: Polynomials and Rational Functions, the course name is Precalculus 2: Polynomials and Rational Functions in Mathematics, which was published by Yodami Academy. Topics you will learn about at the end of this course:
1. Introduction to the course
2. General presentation with an overview and some spoilers
3. Powers, expressions and polynomials
4. Linear equations and system of equations
5. Quadratic polynomial
6. Factoring polynomials is like finding zeros of polynomials
7. Factoring polynomials: school versus reality
8. Polynomial equations and inequalities
9. Some calculation topics
10. Drawing (design) of polynomials
11. More advanced topics on polynomials
12. Rational functions and their domains
13. Illustrative equations and inequalities
14.Mujanb
15. Drawing (design) of rational functions
16. Decomposition of partial fractions
17. More Advanced Topics on Logical Functions
18. A few words about power functions and algebraic functions
19. Additional items
If you are a student, check with your professor which parts of the course you need for your final exam. These cases vary from country to country, from university to university, and can even vary from year to year within the same university.
A detailed description of the course content as well as the 211 videos and their titles as well as the texts of the 160 problems solved in this course are included in the source file “List_of_all_Videos_and_Problems_Precalculus_2.pdf”.
Who should attend ?
- Students who plan to study algebra, calculus, or real analysis
- High school students curious about university mathematics
- Anyone who wants to improve their high school mathematics and deepen their understanding of the subject.
- College and university students who are taking advanced courses and want to understand all the details (about polynomials or rational functions) that they might have missed in their previous studies.
- Students wanting to learn more about polynomials, for example for their college algebra class.
What will you learn in Precalculus 2: Polynomials and rational functions course ,
- How to solve problems involving polynomials or rational functions (illustrated with 160 solved problems) and why these methods work.
- Definition and basic terminology of polynomials: variable, coefficient, degree; A brief rehearsal on powers with rational exponents and the main power rules.
- Arithmetic operations (addition, subtraction, multiplication) on polynomials; the polynomial ring R(x).
- Complete the square to solve quadratic equations and draw parabolas; derivation of the quadratic formula.
- Polynomial division: quotient and remainder; three methods to carry out the division: dividend factorization, long division, indeterminate coefficients.
- Vieta’s formulas for quadratic and cubic polynomials; Binomial theorem (the proof will be given in Precalculus 4) as a special case of Vieta’s formulas.
- The remainder theorem and the factor theorem with many applications; the proofs, based on the division theorem (proven in an article), are presented.
- Ruffini-Horner scheme for division by monic binomials of degree one, with numerous examples of applications; the derivation of the method is presented.
- And……
Course details:
Editor: Udemy
Instructor: Hania Uscka-Wehlou,Martin Wehlou
French language
Training level: introduction to advanced
Number of courses: 212
Training duration: 42 hours 3 minutes
Precalculus 2: Polynomials and rational functions Course content:
Requirements:
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High school mathematics, mainly arithmetic
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Precalculus 1: Basic notions (mainly the notion of function and associated concepts; sets; logic)
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In this course (in section 4) you will have a very brief introduction to *systems of linear equations*, just enough for the needs of our applications (methods using indeterminate coefficients, for example for the decomposition of partial fractions)
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You will get a very brief introduction to *complex numbers* in this course (in section 5), just enough for the purposes of our applications (factoring polynomials)
Pictures:
Simple video:
installation guide ,
After ripping, view with your favorite player.
Subtitle: English
Quality: 720p
Download links:
File password(s): free download software
File size:
34.2 GB