A

a

Absolute value

b

Adjoint, 

105

a

Argument

a

Average cost in relation to marginal cost

a

Average Revenue in relation to marginal revenue

B

b

Base:

C                               top

a

Chain rule

a

Choice variable

a

Coefficient

b

Coefficient matrix, 

57

b

Cofactor matrix, 

105

b

Cofactor, 

96

b

Commutative law:

b

Comparative statics,

a

Comparative-static derivative

a

Composite-function rule

a

Concave functions

b

consistency and independence, ,

50-51, 91

a

Constant

a

Constant-function rule

a

Consumption function

a

Continuity; in relation to differentiability

a

Convex function

a

Cost functions; cubic, relation between average and marginal, relation between marginal and total

a

Counting equations and unknowns

b

Counting equations and unknowns, 

50-51,

b

Cramer’s rule, 

107-110

a

Critical value

a

Cubic Function

D                               top

b

Dependence:

a

Derivative; comparative-static, continuity of, first, and marginal function, partial, partial total, and slope of curve, total (see Total derivative)

b

Diagonal matrix, 

82

a

Difference quotient

a

Differentiability; twice

a

Differential calculus

a

Differential; partial, rules of, total

b

Differentiation rules:

a

Differentiation rules; chain rule, composite-function rule, constant-function rule,  implicit-function rule, log-function rule, power-function rule, product rule, quotient rule, sum-difference rule

a

Differentiation; partial, total

a

Diminishing returns

b

Discounting (see Present value)

b

Discriminant, 

321

b

Distributive law:

a

Domain

E                               top

b

e, the number, 

274-277

a

Economic model

a

Elasticity; of demand, partial

b

Elimination of variables, 

38-39

b

Equation system:

a

Equation system; consistency and independence

b

Equation:

a

Equation; behavioral versus definitional, quadratic

a

Equilibrium condition

a

Equilibrium identity

a

Equilibrium; general, partial

a

Excess demand

b

Exp, 

273

a

Exponent

b

Exponential equation, 

286

b

Exponential function, 

269-273

b

Exponential-function rule:

b

Extremum, 

232

a

Extremum; absolute versus relative, global versus local

F                               top

b

Final demand, 

117

a

First-derivative test

a

First-order condition

b

First-order condition, 

246, 311, 332, 722

a

Function; algebraic versus nonalgebraic, concave versus convex, continuous versus discontinuous, decreasing versus increasing, explicit versus implicit, general versus specific, graphical form of

G                               top

b

Growth:

H                               top

b

Hessian determinant, 

322, 333

b

Hessian matrix, 

334

 I                               top

b

Identity matrix, 

79

a

Implicit function

a

Implicit-function rule

a

Implicit-function theorem; application procedure, applied to market model, applied to national-income models

a

Inflection point

b

Input coefficient, 

116

b

Input-coefficient matrix, 

117

b

Input-output model:

a

Intercept

b

Interest compounding, 

276-278

a

Interval, closed versus open

a

Inverse function

b

Inverse matrix, 

84-86

a

Inverse-function rule

J                               top

b

Jacobian determinant, 

184-186

L                               top

b

Lagrange multiplier, 

373

b

Lagrangian function, 

372-373, 377-378

b

Laplace expansion, 

95-98

a

Limit

b

Linear combination, 

70

b

Linear dependence (see Dependence)

a

Linear function

b

Linear-equation system, 

56, 86

b

Logarithm, 

282

b

Logarithmic function, 

287-290

b

Log-function rule:

M                               top

a

Marginal cost; in relation to average cost, in relation to total cost

a

Marginal physical product

a

Marginal propensity to consume

a

Marginal revenue; in relation to average revenue

b

Market models, 

36-43, 46-49, 113, 215

a

Market models; comparative statics of

b

Matrix, 

56-57

a

Maximum

a

Minimum

b

Minor, 

95

b

Mirror images:

b

Multiplier:

a

Multiplier; government-expenditure

N                               top

a

National-income models; comparative statics of

a

Necessary condition

b

Necessary condition, 

89

a

Necessary-and-sufficient condition

b

Necessary-and-sufficient condition, 

89-90

b

Negative definiteness, 

320

b

Negative semidefiniteness, 

320

b

Nonsingularity,

  84

a

Nth-derivative test

b

Null matrix, 

80

b

Null vector, 

71

O                               top

b

Objective function, 

232

P                               top

a

Parabola

a

Parameter

b

Partial derivative, 

174-176

a

Partial derivative; economic interpretation of, second-order

a

Partial total derivative

a

Polynomial function

b

Positive definiteness, 

320

b

Positive semidefiniteness, 

320

a

Power-function rule; of differentiation

b

Present value, 

280-281

b

Price discrimination, 

356-359

b

Primary input, 

117

a

Primitive function

b

Principal diagonal, 

62

b

Principal minor, 

322, 324, 325, 333

a

Product rule

a

Profit

b

properties of, 

98-101, 103

a

Quadratic equation

a

Quadratic formula

a

Quadratic function

a

Quotient rule

R                               top

a

Range

b

Rank, 

92, 102-103

a

Rate of change, instantaneous

b

Rate of growth, 

278-279, 302

a

Rectangular hyperbola

a

Relation

S                               top

b

Saddle point:

b

Scalar multiplication, 

59

b

Scalar, 

59, 67-68

a

Second derivative

b

Second order condition:

a

Second-derivative test

a

Second-order condition

b

Singular matrix, 

81, 84

a

Slope

b

Solution, 

38

b

Square matrix, 

57

a

Stationary point

a

Strictly concave function

a

Strictly convex function

b

Sum of squares, 

68

b

Sum-difference rule, 

160

b

Summand, 

64

b

Summation sign, 

64-66

T                               top

b

Technology matrix, 

118

a

Total derivative; applied to comparative statics, partial

a

Total differential

a

Total differentiation

b

Transpose matrix, 

82-83

V  

a

Value of function

b

vanishing, 

93

a

Variable; endogenous versus exogenous

b

Vector, 

57

Y                               top

b

Young’s theorem, 

313

Z                               top

b

Zero matrix, 

80

b

Zero vector, 

71