: videos

: self-testing

: explanations / worked examples

**pre-calculus topics****antiderivatives**- see: integration

**approximation**- see also: Newton's method
- Linear Approximations
- Differentials
- Using Differentials

**chain rule**- Differentiation Using the Chain Rule
- Chain Rule for Finding Derivatives
- Finding Derivatives Using the Chain Rule
- Chain Rule for Finding Derivatives
- Using
the Chain Rule — Harder Example #1
**(NOTE: Author forgot the "prime" symbol on the***y*at the beginning of the second line (i.e.,*y*should be*y′*)) - Using the Chain Rule — Harder Example #2
- Using the Chain Rule — Harder Example #3

**concavity (concave up & concave down)****continuity****critical points****curve sketching****decreasing/increasing functions & local max/min****derivatives**- see also: chain rule
- see also: graphing functions
- see also: implicit differentiation
- see also: product rule
- see also: quotient rule
- Basic Derivative Formulas
- Basic Derivative Examples
- Sketching the Derivative of a Function
- More Complicated Derivative Examples
- More Complicated Derivative Examples
- Derivatives — Product + Chain Rule + Factoring

**derivatives — limit definition****differentials**- see: approximation

**differentiation**- see: derivatives

**graphing functions****implicit differentiation****increasing functions**- see: decreasing/increasing functions & local max/min

**integration**- see also: integration by substitution
- Antiderivatives / Indefinite Integrals

**integration by substitution****l'Hôpital's rule (AKA l'Hospital's rule AKA l'Hopital's rule)****limits**- see also: derivatives — limit definition
- see also: squeeze theorem
- Limits of Functions as
*x*Approaches a Constant - Limit Theorems
- Limits of Functions as
*x*Approaches Infinity - What is a Limit? Basic Idea of Limits
- Calculating a Limit by Factoring and Canceling
- Calculating a Limit by Getting a Common Denominator
- Calculating a Limit by Expanding and Simplifying
- Calculating a Limit by Multiplying by a Conjugate
- Calculating a Limit Involving
*sin(x)/x*as*x*Approaches 0 - Limits Involving Absolute Value
- Calculus — Infinite Limits
- Limits at Infinity — Basic Idea and Shortcuts
- Calculating a Limit at Infinity with a Radical

**linear approximation**- see: approximation

**local max/min (via 2nd derivative)**- see also: decreasing/increasing functions & local max/min
- Finding Local Maximums and Local Minimums using the Second Derivative Test

**maxima/maximization/maximizing/maximum**- see: minimum & maximum function values

**mean-value theorem****minima/minimization/minimizing/minimum**- see: minimum & maximum function values

**minimum & maximum function values****Newton's method****optimization**- see: minimum & maximum function values

**parametric equations****product rule****quotient rule****related rates****roots**- see: Newton's method

**squeeze theorem****tangent line****trigonometry**- Differentiation of Trigonometry Functions
- Are You Ready for Calculus I? [Select "Trig Identities"]
- TouchTrigonometry (Graphical relationship of points on the unit circle to trig functions)

- Calculus Problems and Solutions
- http://www.khanacademy.org/#Calculus (Numerous videos on various calculus topics)
- When Will I Use Math?

[ Department of Mathematics and Computer Science | Santa Clara University ]