### Calculus, Semester 2

Calculus for those who want a more traditional, in-depth calculus course, taught by an experienced teacher. We will strive for mastery and understanding.
###### Michael Gold
Average rating:
4.8
Number of reviews:
(166)

#### What's included

###### 42 live meetings
42 in-class hours
###### Homework
2-4 hours per week. Homework will come from the Larson text we use. We can also use free worksheets on the Internet -- there are plenty!
###### Assessment
If parents would like to make a course in which tests and quizzes are given and graded, we could arrange that.
If parents would like to make a course in which tests and quizzes are given and graded, we could arrange that.

#### Class Experience

###### US Grade 9 - 12
In this course, we will learn calculus on a high school/college level.  Recommended for students who plan to go into science, engineering, medical, or other careers that need calculus.

During the course we will learn more than calculus – – we will learn some history and logic and physics and chemistry and biology and finance and more. We will make you well-prepared for future math and science courses, and more able to use math in everyday life.

We will have a mix of lecture, Q&A, and in-class work. We will have some interactive lecture in which students practice concepts and techniques as we go, and some assigned homework, which we will use the next class to check student progress. Class progress will follow the needs of the students.

Prerequisites: geometry, algebra 2, and precalculus (including trig).

Topics covered:
1. Derivatives and integrals of logarithmic and exponential functions
2. Using integration to find area and volume
3. Techniques of integration

Tentative schedule:
Week 1: natural logarithms and derivatives
Week 2: natural logarithms and integration
Week 3: inverse functions
Week 4: derivatives and integrals of exponential functions
Week 5: derivatives and integrals of logs and exponentials with bases other than e
Week 6: growth and decay

Week 7: area between two curves
Week 8: the disc method: volume of a figure
Week 9: the shell method: volume of a figure

Week 10: integration rules
Week 11: integration by parts
Week 12: trig integrals
Week 13: trig substitution
Week 14:  review derivatives and integrals

Time permitting: partial fractions for solving integrals, L'Hopital's Rule, sequences and series, series tests, and power series

Here are some testimonials from other classes but representative of what we will do in class:

“My son has enjoyed this class and made friends as well as broadened his understanding of Calculus. I recommend this class.” –Xaidie C., parent, “Calculus, Semester 1,” 14 Jan 2022

“This class was excellent! My daughter said “He is the best teacher ever! He actually explains why things work so you understand what’s going on instead of just memorizing it.” She took Calc 1 a year ago and wanted to review. She feels she understands it so much better now. She said they covered an entire semester in two weeks more in depth than her original college level class. She can’t wait to take the next level.” –Danielle L., parent, “Summer Calculus Review/Preview, Session 1,” 7 Aug 2021

“For the past 2 years, my son has taken a different math class over the summer with Michael Gold just to sharpen up before the upcoming school year, and the payoff has been tremendous. He loves this teacher’s style, is surprisingly riveted during the class, always on time, and absorbs the equivalent of an entire years worth of work in 2 weeks, helping him to breeze through the academic school year with great grades and a real sense of satisfaction. You’re kids might roll their eyes at you at first, but they will thank you if you are lucky enough to grab a spot in one of Michael Gold’s classes. He is fast, clear, to the point and gives real life application examples to make math make sense. 10 stars if I could.” –Lia J., parent, “Summer Algebra 2 Review/Preview, Session 1,” 10 Jul 2021

“Never before was my son as motivated and interested in a course. It was a delight to see and fun to hear him share about the lessons without prodding 😄” –Paula L., parent, “High School Geometry, Semester 1,” 2 Jan 2022

"Michael Gold’s 'Summer Geometry Preview/Review' was a in-depth yet efficient way (8-classes over a two-week period @ 1.5 hours per class) to get a preview of what to expect in the fall. My daughter wants to stay sharp over the summer (around the fun and relaxation that all kids need) and the structure of a class that meets live is the only option for us. Also, the class was comprised of like-minded students and a nice group of kids.

"We first came to know Mr. Gold through his 'Logic Essentials: How to Think Well' class. I highly recommend this class because logic and deductive reasoning are the cornerstones of thinking well. We need our kids to flag poor arguments and discern the truth. Unless you are attending an elite prep school, I don’t know where you would find exposure to a class like this. I am so grateful that Mr. Gold makes this class offering available. So when I shared Mr. Gold’s Geometry offering with my daughter, she wanted to sign up knowing he is a wonderful teacher.

"What was most telling – my daughter never forgot about the class date or time. I know Mr. Gold is engaging because if I walked past her room, she was never distracted. He connected with kids on all fronts using lecture, illustrating problems on the board and showing YouTube videos. He has a warm personality, inflection in his voice and good sense humor. After each class ended, my daughter wanted to show me her notes and explain a problem set she learned. Also, I received a detailed email from Mr. Gold outlining everything that was covered in each class, along with links to videos, books, geometry worksheets and more. I also appreciate that homework was optional – your child can leisurely gain exposure or go all out on mastering the subject matter – there’s no pressure.

"Michael Gold has high standards for teaching and truly cares about his students. My family joins his long list of five star reviews because he’s that good. My daughter and I highly recommend Mr. Gold’s ‘Summer Geometry Preview/Review’ and ‘Logic Essentials: How to Think Well’. We enthusiastically encourage you to sign up for any class he teaches!"
–Mary B, parent, “Summer Geometry Preview/Review, Session 1,” 19 Aug 2020

(Image from https://commons.wikimedia.org/wiki/File:Integral_as_region_under_curve.svg)

#### Other Details

###### Supply List
We will use Calculus (10th ed) by Larson and Edwards, available for free at https://archive.org/details/CALCULUS10THEDITIONRONLARSON/mode/2up

Or, if you would like a hard copy, you can buy one here: https://www.amazon.com/Calculus-Ron-Larson/dp/1285057090/

A graphing calculator like the TI-84, TI-89, HP Prime, or a Casio, is recommended. Or you can use Desmos and WolframAlpha.

If you want some extra insight or different perspectives, you can read:
2.  Calculus For The Practical Man by Thompson J. E.: https://archive.org/details/dli.ernet.18261

The 7th edition of Larson and Edwards is here: https://archive.org/details/calculusseventhe0000ronl/mode/2up
###### External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined June, 2019
4.8
166reviews
Profile
##### Teacher expertise and credentials
###### Bachelor's Degree in Mathematics from University of Texas at Austin
I have a degree in mathematics, and have taught calculus (and all math from pre-algebra through calculus and statistics) for decades.  Because I have studied philosophy, physics, chemistry, and biology, I can help you see how and where calculus is useful in life, help you see how it developed in history, and will help you draw life lessons from it.

What matters is not so much my credentials (which, yes, I have, as you can see in my profile bio), but the success of my students. Those successes are my real credentials. Here are some:

“Great class! The teacher is very knowledgeable. My son learned a lot. The teacher is very good in explaining details as well as the bigger picture, why it is important, how it is used. I wish math was always taught this way.” –Anna, parent, “Math Lab: Sine, Cosine, and Tangent Basics,” 28 May 2020

“My son knew a little about these (self-taught, because he’s interested) before, but he liked the class a lot and it’s pretty clear that what he he learned here made them “stick” better than they were before. I looked at his notes, and, honestly, I wish I’d had this type of explanation of this material when I was in trig. My son has taken several classes from this teacher and enjoyed all of them, likes this teacher’s style.” –Julie M., parent, “Math Lab: Sine, Cosine, and Tangent Basics,” 9 Jun 2020

“Very useful and informative class. Just what we needed. Very good teacher.” –Aleksandra K., parent, “Math Lab: Sine, Cosine, and Tangent Basics,” 27 Apr 2020

“My son loved this course. He said that the teacher was really funny. I have never seen my son so excited about math. Thank you, Mr. Gold!” –Rosa L., parent, “Math Lab: Sine, Cosine, and Tangent Basics,” 26 Mar 2020

“My 13 yo son got a lot out of this class. The teacher is funny. I wasn’t around much but when I was there was some hilarious things going on. But not all the kids got his humor. That was so funny because they didn’t realize some of his humor. He makes class interesting and fun but also serious and talks about how things will help them in the future. We would do another class in the future but it’s just a little expensive for us to do classes all the time. Not a bad price it’s just hard to do that all the time.” –Lindsay W., parent, “Geometry Essentials, Semester 1,” 10 Mar 2021

"My 14 year old appreciated the feel of a real class – we even signed up for Part 2. There were a lot of practice problems and then he would review how to walk through it.” –An Outschool parent, “Summer Geometry Preview/Review, Session 1,” 25 Jul 2020

“Great overview of what geometry class will be like in the upcoming school year. It teaches you how to think about geometry, and the importance of logic and systematic thinking in general.” –Gita S., parent, “Summer Geometry Preview/Review, Session 1,” 28 Jun 2020

“This class helped my son prepare for 9th grade Geometry Honors. He felt the teacher was very prepared, extremely knowledgeable, worked at a good pace for understanding and was thorough. There was time for questions and help if needed. He enjoyed taking this class.” –Laura S., parent, “Summer Geometry Preview/Review, Session 1,” 22 Aug 2021

Dylan T, ex-high school student now in his 20s: "I really did learn more than geometry and math taking classes with you. I learned to reason and use logic to start solving things in everyday life. It’s pretty useful at work when I use reasoning to find root causes, and to find and fix problems. You teach people how to THINK!"

Mr. M, high school teacher of Madison S; quote from emailed note from teacher to parent "I agree with you 100%. [Madison] has gone from a D/C student to a B/A student. She is knocking it out of the park right now, not just by getting the work done but by also doing it correctly. It is nice to have her as a student I can rely on to do her work and know how to do it. I know that she has tried to share her story with others to encourage them to just try and do their work, that Algebra is not as hard as they are making it out to be and I appreciate that. I hope she finishes up the year strong."

Joe S, ex-high school student: "I tutored with Michael for physics and calculus at the end of my senior year of high school in order to prepare myself for my first semester of engineering at Texas A&M University. Not only was I prepared enough to feel comfortable and excel in the coursework my 1st semester but Michael introduced me to thinking about problems as a whole and inductively (a thought process which has helped in every form of learning). To this day, 7 years later, I still use this method to help me solve problems and learn, in work and in life, more effectively. I highly recommend Michael to anyone looking to not only improve their grades but also to improve their ability to problem-solve and appreciate learning."

Rajiv R, ex-junior high and high school student:  "Michael sets the standard for excellence among tutoring services. I was a student of Michael Gold for around 7 years, and the education I received has had an immeasurably positive impact on my life.

"I originally only sought out tutoring for Geometry & Algebra, during middle school, in order to place into higher level math classes. I found the tutoring to be so valuable that I continued my lessons even after placing into and acing my desired courses -- I received tutoring in math through high school and some of college (all the way up to 3D Calculus). Additionally, I received tutoring for English and Grammar, Physics, SAT prep and more.

"Gold's tutoring helped me achieve A's in my classes and great scores on standardized tests, but this was just the 'tip of the iceberg.' With each lesson I also learned how to better think logically, carefully, and reasonably. These skills are essential to life and have helped me immensely - I still use the learning/study methods I developed through Gold's lessons to earn top scores in many college courses and to do well in my work and hobbies.

"I will forever be grateful to Gold Academy, and highly recommend the service to any student who is looking to start learning, thinking and living."

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#### \$490

for 42 classes
3x per week, 14 weeks
60 min

Completed by 2 learners
Live video meetings
Ages: 14-18
4-14 learners per class