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Calculus: A Less Intimidating Approach to Differential Equations

๐’๐ข๐ฆ๐ฉ๐ฅ๐ข๐Ÿ๐ฒ ๐๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ฅ ๐ž๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐ฐ๐ข๐ญ๐ก ๐ž๐š๐ฌ๐ž! Explore calculus concepts, solving separable equations and first-order methods with clear lessons, gaining the skills to tackle math problems effectively.
Christine Santos LLC Microschool
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5.0
Number of reviews:
(497)
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What's included

12 live meetings
6 in-class hours
Homework
1 hour per week. included
Progress Report
included
Certificate of Completion
included

Class Experience

US Grade 10 - 12
๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ฅ ๐ž๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐ฌ๐ž๐ž๐ฆ ๐๐ข๐Ÿ๐Ÿ๐ข๐œ๐ฎ๐ฅ๐ญ? ๐”๐ง๐๐ž๐ซ๐ฌ๐ญ๐š๐ง๐๐ข๐ง๐  ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง๐ฌ ๐Ÿ๐ž๐ž๐ฅ ๐œ๐จ๐ฆ๐ฉ๐ฅ๐ข๐œ๐š๐ญ๐ž๐?

This class simplifies the process of learning differential equations by breaking down complex concepts into manageable, engaging lessons. Through clear explanations and practical examples, learners will gain a solid understanding of how to solve and apply these equations with confidence.

Step by step, learners will build the skills needed to tackle equations like separable and first-order linear equations. Theyโ€™ll also explore real-world applications such as growth, decay, and motion, gaining the tools to solve problems with ease and clarity.

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CLASS ENVIRONMENT

Our classrooms are guided by a Socratic teaching approach, fostering critical thinking and encouraging open dialogue among learners. By facilitating engaging discussions and posing thought-provoking questions, students are able to explore topics more deeply and gain a comprehensive understanding of the material. 

Our class size does not exceed 5 learners. This allows for more personalized attention from the educator, ensuring that each learner's individual needs and learning styles are met. With a smaller group size, there is also more opportunity for discussion and collaboration among classmates, creating a supportive and engaging learning environment. Additionally, students may feel more comfortable and confident participating in discussions and activities in a smaller group setting.

We incorporate a mix of traditional methods such as videos and limited PowerPoint presentations to accommodate various learning styles as well. 

In addition, we gamify our lessons, as much as possible, to make learning fun and interactive for students. By adding elements of games and competition, we are able to keep learners engaged and motivated to participate in their education.

We also incorporate hands-on projects, wherever possible, to provide students with real-world application of their learning. Through these projects, students are able to apply their knowledge in practical ways and further enhance their understanding of the subject matter.

By designing this type of diverse classroom environment, utilizing multiple teaching methods, we effectively address the diverse learning styles of our learners.

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IMPORTANT DATES

Please note we value mental health and want to prevent teacher burnout. With that said, we do take company wide breaks where there will not be any classes taught nor will we be answering emails. 

Please expect a delay in responses the following dates: 

2024:

August 19-August 25 (Summer Break)
November 27-29 (Thanksgiving Break)
December 23 - December 31 (Winter Break)

2025

January 1 - Jan 5 (Winter Break)
March 17 - March 23 (Spring Break)
April 19 - April 20 (Easter Break)
August 25-31st (Summer Break)

If you are enrolled, you will not be charged!

We will be returning all emails the day or two after we return. 

In addition, teachers may need time off outside of these breaks as emergencies do happen. We always try our best to give ample notice when we can. You will never be charged for a day that we cancel classes.

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CLASS POLICIES

Refund Policy:

We strictly adhere to Outschool's refund/reschedule policy for all of our classes. This means that once a class has been paid for, there will be no deviation from Outschool's guidelines. We do not offer refunds or rescheduling outside of what Outschool allows. 

Camera Policy:

All students are required to keep their camera turned on during the entire class. The only exception is those that have been verified by Outschool and have the verification badge.  

Contact info:

In compliance with Outschool's policies, we do not accept friend or contact requests from current or former families on any social networking site (Facebook, LinkedIn, etc.). We also do not provide or ask for any personal information such as email address or phone numbers.

We appreciate your understanding and cooperation with these policies.

Learning Goals

๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ฅ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ: Learners will understand the fundamentals of differential equations and identify different types such as separable and first-order linear equations.
๐’๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐Œ๐ž๐ญ๐ก๐จ๐๐ฌ: Learners will apply solution techniques like separation of variables and the integrating factor method to solve first-order differential equations.
learning goal

Syllabus

12 Lessons
over 6 Weeks
Lesson 1:
What Are Differential Equations?
 Learners will understand the basic definition of a differential equation and recognize different types of equations. 
30 mins online live lesson
Lesson 2:
Identifying Solutions to Differential Equations
 Learners will explore methods of solving simple differential equations and discuss general solutions. 
30 mins online live lesson
Lesson 3:
Understanding Separable Differential Equations
 Learners will learn the method of separation of variables and how to use it to solve differential equations. 
30 mins online live lesson
Lesson 4:
Solving Separable Equations with Initial Conditions
30 mins online live lesson

Other Details

Pre-Requisites
Learners should have a solid understanding of basic calculus concepts, including derivatives and integrals. Familiarity with algebraic manipulation and solving equations is also recommended.
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined September, 2019
5.0
497reviews
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Teacher expertise and credentials
New Jersey Teaching Certificate in Elementary Education
Alana Yeager
Ohio Teaching Certificate in Mathematics
Alana Yeager
New Jersey Teaching Certificate in Elementary Education
Alana Yeager
New Jersey Teaching Certificate in Elementary Education
Alana Yeager
Georgia Teaching Certificate in Elementary Education
Christina Schmelzle
Arizona Teaching Certificate in English/Language Arts
Lyndsie Butler
Massachusetts Teaching Certificate in Elementary Education
Jesse Pompei
Maryland Teaching Certificate in Elementary Education
Nick
Oregon Teaching Certificate in Special Education
Jonah
New Jersey Teaching Certificate in Social Studies/History
Natalie DiCarlo
California Teaching Certificate in English/Language Arts
Dave Tolbert
California Teaching Certificate in Special Education
Dave Tolbert
California Teaching Certificate
Amanda Nelson
Juris Doctor from New York Law School
Ellen Feig
Doctoral Degree in Special Education from University of Alberta
Jonah
Master's Degree in Animal Science from The Ohio State University
Amanda Kin
Master's Degree from National University
Ellen Feig
Master's Degree from Central Michigan University
Ellen Feig
Master's Degree in Education from Rutgers University
Natalie DiCarlo
Master's Degree in Mathematics from Missouri State University
Stephen Dickey
Doctoral Degree in Sports Management from Concordia University Chicago
Sharisse May
Master's Degree in International Relations from University of Oklahoma
James Meers
Master's Degree in Education from Towson University
Sharisse May
Bachelor's Degree in Animal Science from The Ohio State University
Amanda Kin
Bachelor's Degree in American Studies from Smith College
Ellen Feig
Bachelor's Degree in Journalism from Long Island University
Christine Santos
Bachelor's Degree in Science from Southern Illinois University of Carbondale
Arielle Fulk
Bachelor's Degree in Education from Centro Universitรกrio UniCEUB
MILENA MACHADO DE LIMA BROWN
Bachelor's Degree in Foreign Language from Universidade de Brasรญlia
MILENA MACHADO DE LIMA BROWN
Bachelor's Degree in Mathematics from Drury University
Stephen Dickey
Bachelor's Degree in Psychology from University of California Santa Barbara
David Byun
Bachelor's Degree in Foreign Language from University of California, Berkeley
Ellie
Bachelor's Degree in Spanish Language and Literature from University of California, Berkeley
Ellie
Bachelor's Degree in Education from North Carolina State University
Caroline Lilley
Bachelor's Degree in English Language and Literature from University of Maryland
James Meers
Bachelor's Degree in Journalism from Bowie State University
Sharisse May
Bachelor's Degree in Education from SUNY Cortland
Kristina Visniesky
Iโ€™m originally from Springfield, MO but have lived in Kansas City, MO for the last 10 years. I received my Bachelors of Science in 2004 from Drury University and my Masters of Mathematics from Missouri State University in 2012. In addition to 15 years of experience teaching at the college level, I also have 5 years of experience at the high school level. Math has always been a beautiful thing to me and the fact that my job is to reinforce this in the mind of the learner truly is a dream come true.

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Live Group Course
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$34

weekly

2x per week, 6 weeks
30 min
Live video meetings
Ages: 15-18
1-5 learners per class

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