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### Calculus II - Full Curriculum

#### Class Experience

###### US Grade 11 - 12

###### Advanced Level

###### Follows Teacher-Created Curriculum

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:...

34 lessons//17 Weeks

Week 1Lesson 1Review of Algebra and PrecalculusThis lesson is about polynomials, fractions, asymptotes, trigonometry, and transformation from parent functions.Lesson 2Review of Algebra and PrecalculusThis lesson is about polynomials, fractions, asymptotes, trigonometry, and transformation from parent functions.Week 2Lesson 3Review of Calculus I: Part AThis lesson is about limits, derivatives and their rules and the L'Hopital's Rule.Lesson 4Review of Calculus I: Part AThis lesson is about limits, derivatives and their rules and the L'Hopital's Rule.Week 3Lesson 5Review of Calculus I: Part BThis lesson is about area, solving problems with integration, differential equations and infinite series.Lesson 6Review of Calculus I: Part BThis lesson is about area, solving problems with integration, differential equations and infinite series.Week 4Lesson 7Review of Calculus I: Part CThis lesson is about approximating area with Riemann Sums, left and right rectangles and trapezoids rule.Lesson 8Review of Calculus I: Part CThis lesson is about approximating area with Riemann Sums, left and right rectangles and trapezoids rule.Week 5Lesson 9Basic Integrations: Part AThis lesson is about indefinite integrals, FTC1 and FTC2, solving area problems without Riemann sum formula.Lesson 10Basic Integrations: Part AThis lesson is about indefinite integrals, FTC1 and FTC2, solving area problems without Riemann sum formula.Week 6Lesson 11Basic Integrations: Part BThis lesson is about using 17 basic antiderivatives for integrating, integrating polynomials, and understanding the principles.Lesson 12Basic Integrations: Part BThis lesson is about using 17 basic antiderivatives for integrating, integrating polynomials, and understanding the principles.Week 7Lesson 13Basic Integrations: Part CThis lesson is about integrating rational and radical functions, using algebra, integrating trig functions, and integrating composition of functions with linear inputs.Lesson 14Basic Integrations: Part CThis lesson is about integrating rational and radical functions, using algebra, integrating trig functions, and integrating composition of functions with linear inputs.Week 8Lesson 15U-SubstitutionThis lesson is about the simpler case and the more complex case.Lesson 16U-SubstitutionThis lesson is about the simpler case and the more complex case.Week 9Lesson 17Integration by partsThis lesson is about the different ways to integrate more complicated functions using different formulas.Lesson 18Integration by partsThis lesson is about the different ways to integrate more complicated functions using different formulas.Week 10Lesson 19Trigonometric SubstitutionThis lesson is about using of sines and cosines, use of tangent and secants, and knowing when to use tri substitution.Lesson 20Trigonometric SubstitutionThis lesson is about using of sines and cosines, use of tangent and secants, and knowing when to use tri substitution.Week 11Lesson 21Partial Fractions and IntegrationThis lesson is about rational solutions, understanding partial fractions, solving integrals by using partial fractions and integrating improper fractions.Lesson 22Partial Fractions and IntegrationThis lesson is about rational solutions, understanding partial fractions, solving integrals by using partial fractions and integrating improper fractions.Week 12Lesson 23More advanced integration methodsThis lesson is about solving area problems, improper integrals, the Mean Value Theorem of integrals and calculating arc length.Lesson 24More advanced integration methodsThis lesson is about solving area problems, improper integrals, the Mean Value Theorem of integrals and calculating arc length.Week 13Lesson 25Solving 3D problemsThis lesson is about solving 3D shapes and finding the volume.Lesson 26Solving 3D problemsThis lesson is about solving 3D shapes and finding the volume.Week 14Lesson 27Differential equationsThis lesson is about discussing what at DE is, solving DEs, solving separable equations and initial-value problems.Lesson 28Differential equationsThis lesson is about discussing what at DE is, solving DEs, solving separable equations and initial-value problems.Week 15Lesson 29Infinite sequencesThis lesson is about infinite sequences, sigma notation, geometric series and p-series.Lesson 30Infinite sequencesThis lesson is about infinite sequences, sigma notation, geometric series and p-series.Week 16Lesson 31Convergence and divergenceThis lesson is about convergence and divergence and comparing tests.Lesson 32Convergence and divergenceThis lesson is about convergence and divergence and comparing tests.Week 17Lesson 33More different types of seriesThis lesson is about Taylor series, elementary functions, power series, and using trigonometric functions.Lesson 34More different types of seriesThis lesson is about Taylor series, elementary functions, power series, and using trigonometric functions.

- Students will improve their understanding of integration and infinite series.

## 1 - 2 hours per week outside of class

## Homework

Frequency: 1-2 per weekFeedback: as neededDetails: Homework assignments will be given weekly. Each assignment will be graded by correctness and required for all students.## Assessment

Frequency: 7 or more throughout the classDetails: 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

Frequency: 1 after class completionDetails: Grades will be provided by request.

Students should have taken Precalculus and Calculus I

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.

In addition to the Outschool classroom, this class uses:

We will use two E-Books (Calculus volume I and II) during this class from Rice University.

##### 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...

#### Reviews

###### Group Class

#### $53

weekly or $900 for 34 classes2x per week, 17 weeks

50 min

Completed by 3 learners

Live video meetings

Ages: 15-18

3-10 learners per class