Math-U-See, Calculus : Instruction Manual
Material type:
- 9781608260478
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Pathways | MUS MAT CAL (Browse shelf(Opens below)) | 2 | Checked out | 06/09/2025 | I0000000100313 |
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Calculus begins with a review of graphing, functions, limits, and basic trigonometry. The course introduces derivatives and integrals, along with various techniques and rules for using them. A wide variety of application problems involving science, business, and other topics are included. It is equivalent to a one-year high school calculus course.
Lesson 01: Terminology and Graphing
Lesson 02: Parabola, Circle, and Ellipse
Lesson 03: Hyperbolas and Systems of Equations
Lesson 04: Functions
Lesson 05: Trigonometry
Lesson 06: Exponential and Logarithmic Functions
Lesson 07: Limits
Lesson 08: Continuity in Limits
Lesson 09: Definition of a Derivative
Lesson 10: Derivative Rules
Lesson 11: Chain Rule
Lesson 12: Derivatives of Trigonometric Functions
Lesson 13: Derivatives of ex and ln(x)
Lesson 14: Implicit Differentiation
Lesson 15: Graphing with the First Derivative
Lesson 16: Graphing with the Second Derivative; Concavity and Inflection
Lesson 17: Mean Value Theorem; L’Hopital’s Rule
Lesson 18: Physics Applications
Lesson 19: Economics Applications
Lesson 20: Optimization Applications
Lesson 21: Related Rates
Lesson 22: Antiderivatives
Lesson 23: Integration Formulas
Lesson 24: Area Under a Curve
Lesson 25: Definite Integrals
Lesson 26: Area Between Two Curves
Lesson 27: Inverse Trigonometric Functions
Lesson 28: Integration Using Tables
Lesson 29: Differential Equations
Lesson 30: Differential Equation Applications
Grade 7/8 Mathematics
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