Calculus: A Less Intimidating Approach to Differential Equations
๐๐ข๐ฆ๐ฉ๐ฅ๐ข๐๐ฒ ๐๐ข๐๐๐๐ซ๐๐ง๐ญ๐ข๐๐ฅ ๐๐ช๐ฎ๐๐ญ๐ข๐จ๐ง๐ฌ ๐ฐ๐ข๐ญ๐ก ๐๐๐ฌ๐! Explore calculus concepts, solving separable equations and first-order methods with clear lessons, gaining the skills to tackle math problems effectively.
What's included
12 live meetings
6 in-class hoursHomework
1 hour per week. includedProgress Report
includedCertificate of Completion
includedClass Experience
US Grade 10 - 12
๐๐ข๐๐๐๐ซ๐๐ง๐ญ๐ข๐๐ฅ ๐๐ช๐ฎ๐๐ญ๐ข๐จ๐ง๐ฌ ๐ฌ๐๐๐ฆ ๐๐ข๐๐๐ข๐๐ฎ๐ฅ๐ญ? ๐๐ง๐๐๐ซ๐ฌ๐ญ๐๐ง๐๐ข๐ง๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง๐ฌ ๐๐๐๐ฅ ๐๐จ๐ฆ๐ฉ๐ฅ๐ข๐๐๐ญ๐๐? 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. Theyโll also explore real-world applications such as growth, decay, and motion, gaining the tools to solve problems with ease and clarity. _______ 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. _______ 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. _______ 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
๐๐ข๐๐๐๐ซ๐๐ง๐ญ๐ข๐๐ฅ ๐๐ช๐ฎ๐๐ญ๐ข๐จ๐ง๐ฌ: Learners will understand the fundamentals of differential equations and identify different types such as separable and first-order linear equations.
๐๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐๐๐ญ๐ก๐จ๐๐ฌ: Learners will apply solution techniques like separation of variables and the integrating factor method to solve first-order differential equations.
Syllabus
12 Lessons
over 6 WeeksLesson 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.
Teacher expertise and credentials
9 teachers have teaching certificates
New Jersey Teaching Certificate in Elementary Education
Ohio Teaching Certificate in Mathematics
New Jersey Teaching Certificate in Elementary Education
New Jersey Teaching Certificate in Elementary Education
Georgia Teaching Certificate in Elementary Education
Arizona Teaching Certificate in English/Language Arts
Massachusetts Teaching Certificate in Elementary Education
Maryland Teaching Certificate in Elementary Education
Oregon Teaching Certificate in Special Education
New Jersey Teaching Certificate in Social Studies/History
California Teaching Certificate in English/Language Arts
California Teaching Certificate in Special Education
California Teaching Certificate
7 teachers have a Graduate degree
Juris Doctor from New York Law School
Doctoral Degree in Special Education from University of Alberta
Master's Degree in Animal Science from The Ohio State University
Master's Degree from National University
Master's Degree from Central Michigan University
Master's Degree in Education from Rutgers University
Master's Degree in Mathematics from Missouri State University
Doctoral Degree in Sports Management from Concordia University Chicago
Master's Degree in International Relations from University of Oklahoma
Master's Degree in Education from Towson University
12 teachers have a Bachelor's degree
Bachelor's Degree in Animal Science from The Ohio State University
Bachelor's Degree in American Studies from Smith College
Bachelor's Degree in Journalism from Long Island University
Bachelor's Degree in Science from Southern Illinois University of Carbondale
Bachelor's Degree in Education from Centro Universitรกrio UniCEUB
Bachelor's Degree in Foreign Language from Universidade de Brasรญlia
Bachelor's Degree in Mathematics from Drury University
Bachelor's Degree in Psychology from University of California Santa Barbara
Bachelor's Degree in Foreign Language from University of California, Berkeley
Bachelor's Degree in Spanish Language and Literature from University of California, Berkeley
Bachelor's Degree in Education from North Carolina State University
Bachelor's Degree in English Language and Literature from University of Maryland
Bachelor's Degree in Journalism from Bowie State University
Bachelor's Degree in Education from SUNY Cortland
Iโm 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.
Reviews
Live Group Course
$34
weekly2x per week, 6 weeks
30 min
Live video meetings
Ages: 15-18
1-5 learners per class
Financial Assistanceโ
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Tutoringโ
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