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Daniel Westfall
США
Добавлен 24 май 2007
I record and post videos on a variety of topics related to the Bible, theology, apologetics and discipleship, and of course mathematical topics. I am also a professional mathematics tutor at the community college level, tutoring students in developmental, 100-level, and 200-level mathematics courses. You can find my all the video tutorials that are posted here and other resources at www.danielwestfall.com.
If you have questions about the Bible, apologetics or any of the mathematics courses, there is a Ask a Queston form that you can use at www.danielwestfall.com/ask-a-question.html.
If you have questions about the Bible, apologetics or any of the mathematics courses, there is a Ask a Queston form that you can use at www.danielwestfall.com/ask-a-question.html.
The 10 Disciplines of a Worldview
The idea of this picture and the 10 Disciplines themselves are taken from David Noble's book Understanding the Times. You can find more from him and his team at Summit Ministries at www.summit.org/ where you can get additional training, attend camps and conferences and find many helpful resources. His book was required reading for my 12th grade worldview and apologetics course. I'm sure you can find much of the same material on his website in video or podcast format and that it will speak to the major worldviews of today. While we may be looking at different iterations of old things, "There is nothing new under the sun" and we'll find that many "new" things are simply repackaged forms for...
Просмотров: 65
Видео
The Five Questions a Worldview Must Answer and Four Main Categories of Worldviews
Просмотров 4414 дней назад
Every worldview must in some way answer the questions of Origins, Meaning, Morality, Destiny, and Identity. In this video I discuss those five primary questions as well as four categories for the various worldviews you may encounter: Theistic, Pantheistic, Humanistic, and Naturalistic. While Pantheism is a type of theism, it is very dissimilar to the types of theism that we normally think about...
3 Laws of Logic
Просмотров 5514 дней назад
Before we can start talking about apologetics, we need to have some rules to play by. The three most foundational truths in this area are the three laws of logic, which I will discuss here. Once we have established these ground rules, then we can start talking about some of the other broader topics in worldviews and apologetics.
13 Implicit Differentiation and Related Rates
Просмотров 7Месяц назад
• Find derivatives using implicit differentiation • Find second derivatives using implicit differentiation • Use implicit differentiation to find slopes of curves at given points • Use implicit differentiation alone with product, quotient, and chain rules to find derivatives of functions • Solve applications involving Related Rates • Solve Related Rates problems using geometry
12 Derivatives of Logarithmic and Exponential Functions
Просмотров 52Месяц назад
• Find derivatives involving logarithms and exponentials • Find higher-order derivatives of functions involving logarithms and exponentials • Use the product, quotient and chain rules to find derivatives of functions involving logarithms and exponentials
Unit 1, Session 4: Sin Corrupts
Просмотров 9Месяц назад
If Adam and Eve had hoped their firstborn son, Cain, would be the promised Seed to defeat the serpent, their hopes were crushed when Cain murdered his brother Abel out of jealousy. Grieving the loss of Abel, Adam and Eve had another son, Seth-a son in Adam’s likeness. Unlike Cain’s descendants, who lived however they pleased, Seth’s descendants walked with God and hoped for reprieve from the cu...
11 The Chain Rule
Просмотров 172 месяца назад
• Find derivatives of basic functions using the Chain Rule • Identify inner functions and outer functions for composite functions, and then apply the Chain Rule to find the derivative • Use the Chain Rule multiple times and use the Chain Rule with products and quotients to find the derivative • Find higher-order derivatives using the Chain Rule
10 The Product and Quotient Rules
Просмотров 102 месяца назад
• Answer conceptual questions involving the product and quotient rules • Find derivatives of products and quotients of algebraic expressions • Find derivatives of products and quotients of functions involving exponentials • Find derivatives using the extended power rule
9 Basic Rules of Differentiation
Просмотров 212 месяца назад
• Answer conceptual questions involving rules of differentiation • Find derivatives using the basic rules of differentiation • Find higher order derivatives of functions using basic rules of differentiation • Simplify algebraic expressions into forms in which basic differentiation rules apply • Use derivatives to find slopes and equations of tangent lines
8 The Derivative as a Function
Просмотров 92 месяца назад
• Answer conceptual questions involving the derivative as a function • Identify mathematical notation used to indicate the derivative • Find derivatives of functions using limits • Obtain the graphs of derivatives functions from graphs of functions • Obtain the graphs of functions from graphs of their derivatives • Find points where functions are continuous and differentiable • Use graphs of fu...
7 Introducing the Derivative
Просмотров 122 месяца назад
• Answer conceptual questions involving tangent lines and derivatives • Use limit definitions to find equations of tangent lines • Use limits definitions to evaluate derivatives at given points • Compute average and instantaneous rates of change from graphs and tables • Find functions from the limits of difference quotients
6 Techniques for Computing Limits: (Part 2) Infinite Limits and Limits at Infinity
Просмотров 82 месяца назад
• Conceptually discuss end behavior and horizontal asymptotes • Evaluate limits at infinity • Find horizontal and vertical asymptotes of functions using information about limits • Determine end behavior or transcendental functions and sketch their graphs • Find slant asymptotes and sketch the graphs of rational functions • Solve applications involving limits used to find steady states
5 Continuity
Просмотров 92 месяца назад
• Define continuity at a point • Discuss and analyze continuity of polynomial and rational functions • Discuss limit laws of composite functions • Discuss continuity on an interval and define all appropriate intervals of continuity • Discuss continuity of functions involving roots and transcendental functions
4 Techniques for Computing Limits: (Part 1)
Просмотров 632 месяца назад
• Discuss techniques to compute limits conceptually • Compute limits and state the limit laws used to justify computations • Evaluate two-sided limits using limit laws and theorems • Evaluate one-sided limits using limit laws and theorems • Evaluate limits using factorizations • Identify and discuss important limits (exponential functions)
3 The Limit of a Function
Просмотров 72 месяца назад
• Find limits from a graph and understand limits conceptually • Introduce the concept of one-sided limits • Identify when a limit does not exist • Estimate limits from a table • Estimate limits using the graph, and sketch graphs of functions given information about limits
9.4 Supplemental Examples, Part 2: Limit Comparison Test
Просмотров 52 месяца назад
9.4 Supplemental Examples, Part 2: Limit Comparison Test
9.4 Supplemental Examples, Part 1: Direct Comparison Test
Просмотров 162 месяца назад
9.4 Supplemental Examples, Part 1: Direct Comparison Test
can you make react content?
Thanks for this!!
Loved the explanation
😅😅nnn'..b
:|
Thank you for the information. Love trig.
Why i can't like the video.
Any real life applications, to bring mathematics alive in the classroom, OR is it just brain exercise??
Keep going. The Applications of Derivatives topics are mostly covered in videos 14-20.
nice
Thank you for the help!!
man, i had forgotten this... moving the decimal. we didn't have calculators when i was in high school as far as can remember. (9th grade math was all we had to take unless you were taking college prep classes) calculators sure make math easier.
Hello Daniel, i'm an old guy going back to school and i'm starting at the beginning. i'm glad i found your channel because i'm going to take MDE 10 beginning this fall. i have a question on which book you're using. i've been told that the e-book is on the Hawkes website but i haven't asked which book it is. are you teaching from the Hawkes e-book and if so, which one are you using. thanks
Different colleges in the VCCS will use different textbooks. I'm not sure which textbook your college has adopted, but these videos should cover all the same topics. If you'd like to view the OpenStax Prealgebra playlist on this channel that covers those same topics with a book you can access for free, you can access that textbook here: openstax.org/details/books/prealgebra-2e.
@@mathmandan thanks for the info, i'll check into that... as i continue to view your videos. i plan on going through MDE 60 as well as other playlist you have. great channel!!
nice
I get recommended the most random and out-of-nowhere stuff, I swear.
Hello, could you post here the pdf of the assignments for this class at Nova, I am starting the class on the 20th and I want to be prepared
While almost certainly not the textbook that you will be using for your course, if you would like to read a free online textbook that covers many of these same topics, you can check out the Contemporary Mathematics textbook from OpenStax: openstax.org/details/books/contemporary-mathematics. You can practice similar problems to those I am working from that textbook and answers to the odd-numbered exercises are provided in the back of the book. Your college bookstore will be able to provide you with information on the exact course materials for your section of MTH 154 that you are taking this summer, and your instructor will be able to provide you with a schedule of work for suggested homework and/or graded homework for the course when he or she goes over the syllabus with you (or if it's an online asynchronous course, the syllabus should become available for you to read the first day of class). The best thing you can probably do to get ready for MTH 154 is to practice your Prealgebra and Algebra 1 skills. You may want to check out these topics from the OpenStax Prealgebra textbook to help review those skills if you feel rusty in any of these areas: ruclips.net/p/PLBpOIybtKeG_ZTSKcGO3dwQR0JfbE-TPw.
wow, you really are amazing man. even though I'm not Christian, I find your content very beneficial. you my friend have gained a sub.
how do you do trignometry
❤❤❤
thank you sir
amazing explanation!
Thank you !
Crazy video!🔥🔥🔥