TY - GEN AU - Demme,Steve P. TI - Math-U-See, Calculus : Instruction Manual SN - 9781608260478 PY - 2010/// CY - Lancaster, PA PB - Math-U-See Inc. KW - Mathematics KW - Study and Teaching (Secondary) N1 - 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 ER -