High Calculus
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Number of Credits
1
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Estimated Completion Time
2 Semesters
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Earliest Start Date
September 2024
Pre Requisites
Algebra 1, Geometry, Algebra 2, and Pre-Calculus or Trigonometry/Analytical Geometry
Description
Students in this course will walk in the footsteps of Newton and Leibnitz.
An interactive course framework combines with the exciting on-line course delivery to make calculus an adventure. The course includes a study of limits, continuity, differentiation, and integration of algebraic, trigonometric, and transcendental functions, and the applications of derivatives and integrals.
Access the site link below to view the course description from the Florida Course Code directory.
Segment 1:
- Review of Function Terminology and More
- Graphing Calculators
- Compositions and Transformations of Functions
- Some Common Functions
- Introduction to Limits
- Properties of Limits
- Limits Involving Infinity
- Continuity
- Applications of Limits
- The Derivative
- Rules of Differentiation
- Trigonometric Derivatives and the Chain Rule
- Inverse Functions
- Exponential and Logarithmic Functions
- Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
- Implicit Differentiation
- Analyzing Functions Part I: Curve Sketching
- Analyzing Functions Part II: Maximums and Minimums
- Applied Maximum and Minimum Problems
- Distance, Velocity, Acceleration, and Rectilinear Motion
- Related Rates
- The Mean-Value Theorem and L'Hôpital's Rule
- Linearization
Segment 2:
- Area Approximation and Riemann Sums
- Introduction to the Definite Integral
- The Fundamental Theorem of Calculus
- Integrals and Antiderivatives
- Integration by Substitution
- The Definite Integral
- Finding the Area Under and Between Curves
- Volume by Discs (Slicing)
- Average Value of a Function and Rectilinear Motion Revisited
- Differential Equations – An Introduction
- Initial Value Problems and Slope Fields
- Numerical Approximation Methods with Integrals
- Exploring the Graphs of f, f Prime, and f Double Prime
- Relative Rates of Growth
- Using Calculus with Data in a Table
- Functions Defined by Integrals
Study Forge - Provided within the course.
Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. This course will use the state-approved grading scale. Each course contains a mandatory final exam or culminating project that will be weighted at 20% of the student’s overall grade.***
***Proctored exams can be requested by FLVS at any time and for any reason in an effort to ensure academic integrity. When taking the exam to assess a student’s integrity, the exam must be passed with at least a 59.5% in order to earn credit for the course.
Courses subject to availability.
Pursuant to s. 1002.20, F.S.; A public school student whose parent makes written request to the school principal shall be exempted from the teaching of reproductive health or any disease, including HIV/AIDS, in accordance with the provisions of s. 1003.42(3). Learn more about the process and which courses contain subject matter where an exemption request can be made.