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Calculus II - Full Curriculum

This 17-week course focuses on Calculus II concepts. This course is for students who had already taken Calculus I or Calculus AB. It's also fitting for learners who need a refresher or a compliment course to their current Calc II class.
Tricha Louis
Average rating:
4.9
Number of reviews:
(37)
Class
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What's included

34 live meetings
28 hrs 20 mins in-class hours
Homework
1-2 hours per week. Homework assignments will be given weekly. Each assignment will be graded by correctness and required for all students.
Assessment
There will be in-class quizzes and take-home tests given every two months. These assessments are required for all students to take.
Letter Grade
Grades will be provided by request.

Class Experience

US Grade 11 - 12
Advanced Level
This is a live course. We will be studying the main concepts of Calculus II, an important prerequisite for STEM majors in college. This class is typically a higher-level high school course and/or many times taken within the first two years of university.
Please note: This course is built like a regular math class. This is not an Advanced Placement class nor a class that gives college credit. 

The topics that we will cover are as follows:

Week 1:  Review of Algebra and Precalculus: Polynomials, fractions, Asymptotes, Trigonometry, Transformation from parent functions.
 
Week 2: Limits, derivatives and their rules, L'Hopital's Rule.

Week 3: Areas, solving problems with integration, differential equations and infinite series.

Week 4: Approximating area with Riemann Sums, left and right rectangles and trapezoid rule.

Week 5: The indefinite integral, FTC1 and FTC2, solving area problems without Riemann sum formula.

Week 6: More integrals, using 17 basic antiderivatives for integrating, integrating polynomials, understanding the principles.

Week 7: Integrating rational and radical functions, using algebra, integrating trig functions, integrating composition of functions with linear inputs.

Week 8: U-Substitution, the simpler case and the more complex case.
 
Week 9: Integration by parts, the DI-agonal chart and method.

Week 10: Trig substitution, use of sines and cosines, use of tangent and secants, knowing when to use tri substitution.

Week 11: Rational solutions, understanding partial fractions, solving integrals by using partial fractions and integrating improper rationals.

Week 12: Solving area problems, improper integrals, the Mean Value Theorem of integrals, calculating arc length.

Week 13: Solving 3D problems, finding the volume of a solid.

Week 14: Differential Equations, solving DE, solving separable equations and initial-value problems.

Week 15: Infinite sequences, sigma notation, geometric series and p-series.

Week 16: Convergence and divergence

Week 17: Taylor series, elementary functions, power series, using trigonometric functions.

Each class will have various approaches to learning. There will be a PowerPoint presentation, guided practice and interactive assessments to test understanding. There will be an E-book provided at the first week of class for students to follow along with. Students will have the opportunity discuss and writing on the online whiteboard, as well. My style is to investigate each student's previous knowledge, demonstrate the lesson and have students try on their own. Patience and perseverance are important in this course. By keeping the class size small, students will have full interaction with the teacher and each other. Before taking this class, students should have successfully completed Calculus.
Learning Goals
Students will improve their understanding of integration and infinite series.
learning goal

Syllabus

Curriculum
Follows Teacher-Created Curriculum
34 Lessons
over 17 Weeks
Lesson 1:
Review of Algebra and Precalculus
 This lesson is about polynomials, fractions, asymptotes, trigonometry, and transformation from parent functions. 
50 mins online live lesson
Lesson 2:
Review of Algebra and Precalculus
 This lesson is about polynomials, fractions, asymptotes, trigonometry, and transformation from parent functions. 
50 mins online live lesson
Lesson 3:
Review of Calculus I: Part A
 This lesson is about limits, derivatives and their rules and the L'Hopital's Rule. 
50 mins online live lesson
Lesson 4:
Review of Calculus I: Part A
 This lesson is about limits, derivatives and their rules and the L'Hopital's Rule. 
50 mins online live lesson

Other Details

Pre-Requisites
Students should have taken Precalculus and Calculus I
Supply List
Paper, pencil, and a ruler (or protractor) are essential. Students may need to have a graphing calculator, as well. We will have graphing sessions where having one will make it easier. I will provide an E-book at the first week of class and handouts throughout the course.
External Resources
In addition to the Outschool classroom, this class uses:
Joined May, 2023
4.9
37reviews
Profile
Teacher expertise and credentials
Bachelor's Degree in Science from Florida Gulf Coast University
Hi! My name is Tricha and I am a Physics and Mathematics teacher. I have been an educator for over a decade, having earned a bachelor's degree in civil engineering from Florida Gulf Coast University. In addition, I have a license as an Engineer Intern, and I have taught high school Physics for a number of years and worked in the South Florida Water Management during my time in university.
Outside of STEM disciplines, I also have a strong and lengthy experience is teaching ESL to students from East Asia both in the classroom and online.  I currently hold a TEFL certificate. 

A fun fact about me: I am learning Mandarin Chinese and I love to travel to different countries. I even had the opportunity to climb the Great Wall in Beijing! I also love driving motor scooters and drawing. I look forward to teaching your learner in the classroom!

Reviews

Live Group Course
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$53

weekly or $900 for 34 classes
2x per week, 17 weeks
50 min

Completed by 3 learners
Live video meetings
Ages: 15-18
3-10 learners per class

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