Course Details
Calculus (Grade 11-12)
Review key course information and curriculum options.
Course Information
- Subject Area
- Mathematics
- State Course Code
- 02121
- Length
- Two Semesters
- Total Hours
- 270
Description
Course includes the study of derivatives, differentiation, integration the definite and indefinite integral, and applications of calculus. Typically, students have previously attained knowledge of pre-calculus topics (some combination of trigonometry, elementary functions, analytic geometry and math analysis).
Learning Goals
- Evaluate a variety of limits including limits at infinity, one-sided limits, and limits of indeterminate forms. Identify discontinuities in functions presented algebraically or graphically:
- Apply the definition of derivative to calculate and estimate derivatives from formulas graphs, or data
- Differentiate sums, products and quotients of composite polynomial, trigonometric, exponential, and logarithmic functions
- Discuss the conceptual relations between derivatives rates of change, and tangent lines in the context of an applied example, Analyze and solve exponential growth and decay differential equations:
- Analyze graphs of functions by using asymptotes, first and second derivatives
- Solve applied optimization problems and justify answers
- Estimate a definite integral with a Riemann sum and supply a sketch
- Evaluate simple definite integrals using the Fundamental Theorem of Calculus; Differentiate integrals
Choose Curriculum
Calculus
Description
Students will study limits, continuity, and differentiation while exploring integrated algebraic, trigonometric, and transcendental functions and the applications of derivatives and integrals.
Delivery Method
Online
Items
| Name | Kind | ISBN | Returnable | Shared |
|---|---|---|---|---|
| Calculus Honors | Online Class | No | No | |
| Studyforge – Calculus AB/BC/Honors | Other | No | No |
Timeline
September
Module 01: Functions
October
Module 01: Functions
Module 02: Limits and Continuity
Module 02: Limits and Continuity
November
Module 02: Limits and Continuity
Module 03: Differentiation
Module 03: Differentiation
December
Module 03: Differentiation
January
Module 03: Differentiation
Module 04: Applications of Derivatives
Module 04: Applications of Derivatives
February
Module 04: Applications of Derivatives
Module 05: Integration
Module 05: Integration
March
Module 05: Integration
Module 06: Applications of Integrals
Module 06: Applications of Integrals
April
Module 06: Applications of Integrals
Module 07: Differential Equations and More Riemann Summs
Module 07: Differential Equations and More Riemann Summs
May
Module 07: Differential Equations and More Riemann Summs
Module 08: Supplemental Topics
Module 08: Supplemental Topics
June
Module 08: Supplemental Topics