MATH 210 – Calculus 2

Syllabus

Certainly, here’s a sample high school Calculus 2 syllabus. Please note that this is a general example, and you may need to adapt it to meet the specific requirements and standards of your school or district:

Course Title: Calculus 2 (High School Level)

Course Description: Calculus 2 is a continuation of Calculus 1, focusing on integral calculus and its applications. This course covers topics such as integration techniques, applications of integrals, sequences, and series.

Course Objectives: By the end of this course, students should be able to:

  1. Understand the concept of integration and apply integration techniques.
  2. Solve problems involving area, volume, and accumulation using integrals.
  3. Analyze sequences and series, including convergence and divergence.
  4. Apply calculus concepts to real-world scenarios and engineering applications.

Textbook:

  • [Insert Calculus 2 Textbook Title and Author(s)]

Materials:

  • Notebook or binder for class notes and assignments.
  • Graphing calculator (if required by the school or teacher).
  • Pencils, erasers, and a ruler.

Grading:

  • Homework/Classwork: XX%
  • Quizzes: XX%
  • Tests: XX%
  • Projects: XX%
  • Final Exam: XX%

Course Outline:

Unit 1: Integration Techniques

  • Definite and indefinite integrals.
  • Basic integration rules and properties.
  • Integration by substitution and by parts.

Unit 2: Applications of Integration

  • Area under curves and between curves.
  • Volume of solids of revolution.
  • Accumulation functions and applications.

Unit 3: Sequences and Series

  • Introduction to sequences and series.
  • Convergence and divergence of sequences.
  • Tests for convergence of series.

Unit 4: Taylor Polynomials and Series

  • Taylor polynomials and Maclaurin series.
  • Applications of Taylor series.
  • Power series and interval of convergence.

Unit 5: Parametric Equations and Polar Coordinates

  • Parametric equations and their graphs.
  • Polar coordinates and polar graphs.
  • Applications of parametric and polar equations.

Unit 6: Review and Final Exam Preparation

Note: This is a general example of a high school Calculus 2 syllabus. It’s important to adapt it to meet the specific needs and standards of your school or district. The percentages for grading, the textbook, and materials may vary. Additionally, consult with your school’s curriculum guidelines and any state or district standards that may apply. Calculus 2 is typically a college-level course, so the level of rigor and depth may vary based on the high school’s curriculum.

Free Textbooks

Finding completely free high school-level Calculus 2 textbooks can be challenging, as Calculus 2 is often taught at the college level. However, there are open educational resources (OER) and free online resources that can help you study Calculus 2 concepts. Here are some options:

  1. Paul’s Online Math Notes – Calculus II:
  2. MIT OpenCourseWare (OCW):
    • MIT OCW offers free access to course materials from Massachusetts Institute of Technology (MIT) courses, including Calculus II. You can find lecture notes, assignments, and exams that cover Calculus 2 topics.
    • Website: https://ocw.mit.edu/index.htm
  3. Khan Academy:
    • Khan Academy provides a comprehensive set of free math courses, including calculus. While it may not be a traditional textbook, it offers video lessons, practice exercises, and assessments that cover Calculus 2 topics.
    • Website: https://www.khanacademy.org/math/calculus-2
  4. Textbook Revolution:
    • Textbook Revolution is a resource dedicated to the free distribution of textbooks and educational materials. You can search for free Calculus 2 textbooks and related resources.
    • Website: http://textbookrevolution.org/
  5. OpenStax Calculus Volume 2:

While these resources may not be specifically labeled as “high school Calculus 2,” they cover the relevant topics and can be used for self-study at a high school level. Keep in mind that high school-level calculus courses may vary in depth and content from one school or district to another, so it’s essential to align your studies with your specific curriculum.

MOOCs

As of my last knowledge update in January 2022, finding a MOOC platform that offers a completely free Calculus 2 course can be challenging, as Calculus 2 is typically taught at the college level. However, there are MOOC platforms that offer free auditing options for college-level calculus courses. Please keep in mind that course offerings on MOOC platforms can change, and while auditing the courses may be free, receiving a certificate or additional support may involve a fee. Here are some platforms where you can explore calculus courses, including Calculus 2:

  1. Coursera:
    • Coursera offers college-level calculus courses, including Calculus 2. While you can audit the courses for free, there may be a fee if you want to receive a certificate or access additional resources.
    • Website: https://www.coursera.org/
  2. edX:
    • edX provides college-level calculus courses from universities and institutions. You can audit courses for free, but there may be a fee for certificates or advanced features.
    • Website: https://www.edx.org/
  3. MIT OpenCourseWare (OCW):
    • MIT OCW offers free access to course materials from Massachusetts Institute of Technology (MIT) courses, including Calculus 2. You won’t receive a certificate, but you can access the course content for self-study.
    • Website: https://ocw.mit.edu/index.htm
  4. Khan Academy:
    • Khan Academy provides a comprehensive set of free math courses, including college-level calculus. While it may not be a traditional MOOC, it offers video lessons, practice exercises, and assessments that cover calculus topics.
    • Website: https://www.khanacademy.org/
  5. Harvard Online Courses (HarvardX):
    • Harvard University offers calculus courses through their HarvardX program on edX. While you can audit the courses for free, certificates may be available for a fee.
    • Website: https://online-learning.harvard.edu/

While these platforms offer calculus courses, including topics typically covered in Calculus 2, the availability of specific courses and their features may change. Be sure to explore the course descriptions and offerings on each platform to find the one that aligns best with your learning objectives and needs.

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