Udemy – Precalculus 4: Exponentials and logarithms 2024-10
Udemy – Precalculus 4: Exponentials and logarithms 2024-10 Downloadly IRSpace
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Precalculus 4: Exponentials and logarithms You will learn: you will get a very general introduction to exponential and logarithmic functions: how they look and what they describe; you will learn about their simplicity in some aspects, and about some extraordinary complications you don’t necessarily have to think about (but you should have a general idea about them); exponential and logarithmic functions are (next to polynomials, rational functions, power functions, trigonometric and inverse trigonometric functions you have learned about in the previous courses in the Precalculus series) examples of elementary functions: these functions are the building blocks for all the functions we will work with in the upcoming Calculus series. The noble number e, the Binomial Theorem, and Pascal’s Triangle You will learn: about number e, both in an intuitive way (by images) and in a more formal way.
In order to be able to perform some formal proofs, you will need the Binomial Theorem: theorem telling you how to raise a sum of two terms to any positive natural power; you will learn about factorial, about binomial coefficients, and Pascal’s Triangle (all this will come back in the course in Discrete Mathematics, and then you will get much more practice and combinatorial problems to solve; now we just need the Binomial Theorem as a tool for dealing with e). You will learn: about powers with natural, integer, and rational exponents and the computation rules holding for them (the product rules, the quotient rules, the power rule); you will also get an explanation of a more serious stuff: how we can be sure about existence of nth roots of numbers. We will gradually get more and more understanding about the topic of plotting exponential functions. You will also get plenty of exercise to get comfortable with the topic of powers with various types of exponents, and power-related computations.
What you’ll learn
- How to solve problems concerning exponentials or logarithms (illustrated with 239 solved problems) and why these methods work.
- Applications of exponential and logarithmic functions in finance, engineering, and natural sciences (some of them in my videos, some as reading material).
- Binomial Theorem with two proofs (a combinatorial one and one by induction), Pascal’s Triangle, and how to apply them.
- Definitions of Euler’s number e, how to approximate it, and how to prove that this number is irrational.
- Definitions and computational rules for powers with various types of exponents (natural, integer, rational, real).
- Definition of logarithms in relation to exponents, with computational rules (even these will be related to the rules for powers).
- Exponential functions, their properties and graphs.
- Logarithmic functions, their properties and graphs.
- Power functions, their properties and graphs; interactions between power functions and exponential functions.
- Graph transformations for exponential and logarithmic functions, and for some power functions.
- Solving exponential equations and inequalities.
- Solving logarithmic equations and inequalities.
Who this course is for
- Students who plan to study Algebra, Calculus or Real Analysis
- High school students curious about university mathematics; the course is intended for purchase by adults for these students
- Everybody who wants to brush up their high school maths and gain a deeper understanding of the subject
- College and university students studying advanced courses, who want to understand all the details (concerning exponentials and logarithms) they might have missed in their earlier education
- Students wanting to learn exponentials and logarithms, for example for their College Algebra class.
Specificatoin of Precalculus 4: Exponentials and logarithms
- Publisher: Udemy
- Teacher: Hania Uscka-Wehlou , Martin Wehlou
- Language: English
- Level: All Levels
- Number of Course: 223
- Duration: 50 hours and 9 minutes
Content
Requirements
- High-school mathematics, mainly arithmetic; solving simple equations (linear and quadratic) with one unknown; some (but very few) polynomial equations will be solved during the course, but you can skip them if you want to (no problem at all; it will not affect your understanding of the main subjects of the course)
- Precalculus 1: Basic notions (mainly the concept of function and related concepts; sets; logic)
- You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everybody’s advantage if you ask your questions on the forum.
Pictures
Sample Clip
Installation Guide
Extract the files and watch with your favorite player
Subtitle: English
Quality: 720p
Changes:
Version 2024/3 compared to 2023/3 has increased the duration of 1 minute. English subtitles have also been added to the course.
The 2024/10 version has increased the duration by 1 minute compared to 2024/3.
Download Links
File size
31 GB
