Calculus
I (Science)
Chapter 1: Review of Functions (I) and some solutions of problems.
Chapter 2: Limits.
Chapter 3: Continuous
Functions & the I.V.T.
------ Example of the Intermediate Value Theorem: the cube root of 3 exists.
Chapter 4: Derivatives
by the Definition.
----- Differentiabiliy Implies Continuity but NOT the other way around -- two proofs.
Chapter 5: Differentiation
Formulas
----- Two different proofs of the Product Rule
Chapter 6: Trig
-- Old and New
Chapter 7: The
Chain Rule & Implicit Differentiation & Higher Derivatives
------ The derivative of f-inverse
Chapter 8: Logs
& Exponentials and Inverse Trig Functions
------ A proof that the Derivative of ln(x) is 1/x
Chapter 8A: L'hospital's
Rule
Chapter 9: Curve
Sketching
Chapter 10: Differentials
and Linear and Quadratic Approximations
Table of DERIVATIVES
Integrative Activity: An example of Simple Harmonic Motion.
New!!! Maple Solution to the Simple Harmonic Motion Questions
Last updated 22.8.2006
