The 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. Presentation of the course
2. Overview with big picture and few spoilers
3. Powers, expressions and polynomials
4. Linear equations and system of equations
5. Quadratic polynomial
6. Factoring polynomials is like finding polynomial zeros
7. Factorization of polynomials: school versus reality
8. Polynomial equations and inequalities
9. Some Calculus Topics
10. Drawing (design) of polynomials
11. More Advanced Topics on Polynomials
12. Rational functions and their domains
13. Illustrative equations and inequalities
14. Moujanb
15. Drawing (design) of rational functions
16. Break down partial fractions
17. More Advanced Topics on Logical Functions
18. A few words about power functions and algebraic functions
19. Additional Elements
If you are a student, check with your teacher which parts of the course you need for your final exam. These cases vary from country to country, from university to university, and may even vary from year to year within the same university.
A detailed description of the course content with the 211 videos and their titles and with the texts of the 160 problems solved in this course is included in the source file “List_of_all_Videos_and_Problems_Precalculus_2.pdf”.
Who should attend ?
- Students planning to study Algebra, Calculus, or Real Analysis
- High school students curious about university mathematics
- Anyone who wants to brush up on their high school math and deepen their understanding of the subject
- College and university students taking advanced courses, who want to understand any details (regarding polynomials or rational functions) that they might have missed in their previous studies
- Students who wish to learn more about polynomials, for example for their university algebra course.
What you will learn in Precalculus 2: Polynomials and Rational Functions Course :
- How to solve problems involving polynomials or rational functions (illustrated by 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: factorization of the dividend, 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 (proved in an article), are presented.
- Ruffini-Horner scheme for division by monic binomials of degree one, with many examples of applications; the derivation of the method is presented.
- And ……
Course details:
Editor: Udemy
Instructor: Hania Uscka-Wehlou,Martin Wehlou
French language
Level of training: beginner to advanced
Number of lessons: 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 concept of function and associated concepts; sets; logic)
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You will have a very brief introduction to *systems of linear equations* in this course (in section 4), just enough for the needs of our applications (methods by indeterminate coefficients, for example for the decomposition into 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, watch with your favorite player.
Subtitle: English
Quality: 720p
Download links:
File password(s): ngaur.com
File size:
34.2 GB