Math Tools


Videos


Introduction to Math Tools

63

Definition of Function

323

Terminology of Function

156

Domain

234

Co-Domain and Range

78

Practice Problem 1

174

Practice Problem 2

239

Polynomial Function

237

Constant Function

91

Linear Function

208

Introducing Quadratic Polynomials

114

Coefficient of x^2

233

Shifting and Concavity of Graphs

308

Extremum Point

213

Angle Conversion

116

sin(x)

368

cos(x)

216

tan(x)

242

Let's Summarize

23

cosec(x)

282

sec(x)

104

cot(x)

133

Recap

19

Introducing Exponential Functions

105

Decreasing and Increasing Functions

300

A Special Case

108

Introduction to Logarithm

120

Natural Logarithm

118

Graphical Interpretation & Analysis

151

Properties of Logarithmic Function

180

Practice Problem

152

Introduction to Calculus

221

Definition of Limit

348

Limit of (sinθ)/θ

316

Introduction to Differentiation

238

Definition of Parallel Lines

72

Tangent and Secant

41

Slope of Secant

131

Slope of Tangent

272

Recap-Differentiation and Slope

257

Recap-Slope of Secant

153

Mathematical Approach

265

Definition of Derivative

206

Differentiating x^2

399

Differentiating sin(x)

341

Don't Worry

49

Higher Order Polynomials

153

Play with Powers

178

Trigonometric Functions

124

(A constant) x Function

100

Sum or Difference of Functions

122

Derivative of a Constant

197

Exponential and Logarithmic Functions

44

Product Rule

255

Division Rule

198

Composite Functions

345

Chain Rule

374

The Rate of Change

316

Double Differentiation

170

Let's Solve These

213

Increasing and Decreasing Functions

231

Positive and Negative Slopes

345

Example 1

188

Critical Points

115

Example 2

129

Introduction to Maxima and Minima

217

First Derivative Test

218

First Derivative Test

217

Second Derivative Test

195

Flow Chart for Second Derivative Test

89

Practice Problem

349

Discrete and Continuous Sets

318

Time to Think!

49

Mathematical Approach

142

Standard Form

83

Integrating Polynomials

241

Integrating 1/x

131

Integration of Trigonometric Functions

259

Integration of Constant

99

Integrating Sum of Two Functions

142

Practice Problem

103

Integral Constant

346

Definite Integration

298

Let's Compare!

232

Graphical Approach

295

Area Under Curve

127

Calculation using Definite Integral

351

Practice Problem

240

Integration of cos2x

180

Integration of f(ax)

192

Introduction to Functions

806

Logarithmic and Exponential Functions

1339

Limits

900

Derivatives of Various Functions

2571

Functions 1

2910

Functions 2

3044

Properties of Derivatives

1221

Calculus

3556

Differentiation

2348

Application of Derivatives

2569

Applications of Derivatives

3000

Integration

2598

Application of Integration

1469

Indefinite Integral

2003

Definite Integral

531

Applications of Integration

1453

Polynomial and Trigonometric Functions

1447