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Precalculus     Trigonometry     Business Calculus     Calculus I    Calculus II   Calculus III

Valencia's Math 24/7 Website

All Classes

Scientific Notation

Using a graphing calculator (basics) (TI-84, but the 83 would be the same thing)

Using the table feature of a calculator

Factoring trinomials, factoring more complicated trinomials, and another

Properties of exponents

Negative exponents

 

Precalculus

Properties of logarithms

Completing the square

Trigonometry

Trigonometric Ratios - SohCahToa

Business Calculus

Properties of logarithms

Revenue, Cost, & Profit example (including break-even)

Linear regression

Basic idea of a limit

Calculating a limit by factoring

Evaluating limits at infinity

Definition of the derivative

Basic Derivatives

Finding equations of tangent line (don't watch the last example!)

chain rule and a complicated chain rule example

Marginal Analysis

Finding extrema graphically

Finding critical values

Concavity

Optimization problem  and another example

Derivatives of Average Cost and Profit functions

Integration with u-substitution

Average value of a function

Calculus I

Basic idea of a limit

Calculating a limit by factoring

Calculating a limit using common denominators

Calculating a limit using the conjugate

Squeeze Theorem

Continuity and Examples

Evaluating limits at infinity

Limits at infinity involving a radical

Limits with sin(x)/x

Intermediate Value Theorem

Mean Value Theorem and application of Rolle's Theorem (proof by contradiction)

Definition of the derivative

Basic Derivatives

Finding equations of tangent line

Product Rule

Quotient Rule

Chain Rule and harder example 1 and harder example 2 and harder example 3 and several examples and another example

Implicit differentiation and more implicit differentiation

Finding extrema graphically

Finding critical values and another example

Concavity

Summary of curve sketching and part II of the same problem

Related rates and more related rates and other related rates and another related rates and another related rates

Optimization problem and another example and one more and surface area of a box

Differentials and approximations

Definite Integral (as area under curve) and using Riemann sums and finishing the Riemann sums example

Fundamental Theorem of Calculus Part I

Integration by u-substitution and another one

Area between two curves

Average value of a function

Work

 

Calculus II

Derivatives of exponential functions

Logarithmic differentiation

Derivatives of inverse trig functions

Integrals of inverse trig functions

L'Hospital's Rule (basic 0/0 or ∞/∞)

L'Hospital's Rule (0∞)

L'Hospital's Rule (∞-∞)

L'Hospital's Rule (involving powers)

Integration by parts and harder problems and the hardest type of problem and another integration by parts with more examples

Integrating with trig substitution and another example

Completing the square

Integration by partial fractions and a harder one

Improper integrals

Summation notation

Areas in polar coordinates

Calculus III

Vector Basics

An Introduction to Vectors

Cross Product 1

Calculating Dot and Cross Products with Unit Vector Notation

Dot vs. Cross Product