CONTENTS
PREFACE               									Page                                          
CHAPTER 1  PRELIMINARY CONCEPTS    			
	Tool Box	
I	The Command Structure of the Mathematica 					    2
II	The Number System                         				  		    3
III	Sets                                       							  11
IV	 Mathematical Relations                      						  16     
V  	Logarithms									  24                      
VI 	Progressions  									  29
CHAPTER 2   FUNCTIONS AND THEIR GRAPHS 
	Tool Box
I	Functions									  33		
II	Types of Functions and Their Graphs						  38
III	Multi-Variable Functions and Their Graphs					  64
IV	Parametric Functions     							  69
CHAPTER 3  FITTING EQUATIONS  
	Tool Box
I	Fitting Lines									  75
II	Fitting Curves									  83
III	Fitting Planes and Surfaces							  98
IV	Finding Exact Fits								104
	Appendix: Data Manipulation
CHAPTER 4  ELEMENTS OF MATRIX ALGEBRA       
	Tool Box
I	 Algebra of Matrices    								108       
II	Special Matrices								125          
CHAPTER 5  SPECIAL TOPICS IN MATRIX ALGEBRA
	Tool Box
I	Rank and Linear Dependence							131
II	Solution of System of Equations and The Cramer's Rule			132
III	Eigenvalues and Eigenvectors							135
IV	Quadratic Forms and Positive Definite Matrices				142
CHAPTER 6  DIFFERENTIAL CALCULUS     
	Tool Box
I	Limit, Continuity, Differentiability                                   			145
II	Derivatives and Differentiability           					152       	
III	Higher Order Derivatives         						163		          
IV	Some Helpful Rules                          						170 		
V	Differentiation of Functions of Two or More Variables 			176
VII	Special Topics in Differential Calculus						179
CHAPTER 7  UNCONSTRAINED OPTIMIZATION      
	Tool Box
I	The Critical Points                   						189
II	The Critical Points of Functions of Two or More Variables			199
CHAPTER 8  CONSTRAINED OPTIMIZATION            
	Tool Box
I	Lagrangian Function and Equality Constraints       				207                                    
II	Parametric Programming       							224
III	Constrained Optimization When Some Constraints are Inequality		231                                   
	Appendix:  Concavity and Convexity of Functions                                           238
CHAPTER 9  LINEAR PROGRAMMING    
	Tool Box
I	Graphic Solution of the Linear Programming Models  				244
II	Simplex Solution of the Linear Programming Models     			253
III	The Minimizing Problem                            					256
IV	Duality                                      						259
V	Sensitivity Analysis								263
CHAPTER 10  APPLICATIONS OF LINEAR PROGRAMMING     
	Tool Box
I	Input-Output Systems        							267                 
II	Theory of  Games                     						274       
CHAPTER 11  INTEGRAL CALCULUS                  
	Tool Box
I	Indefinite Integrals      								285		
II	Definite Integrals                							293          
CHAPTER 12  ORDINARY DIFFERENTIAL EQUATIONS      
	Tool Box
I	First Order, Homogenous Linear Differential Equations			307                                      
II	First Order, Nonhomogeneous Linear Differential Equations 			312                                  
III	Systems of First Order, Homogenous Linear Differential Equations		315                      
IV	Systems of First Order, Nonhomogeneous Linear Differential Equations  	317                       
V	Linear Differential Equations of Higher Order 					319
VI	Differential Equations and Dynamic Stability of Economic Models		325
	Appendix 1:  Existence of Definite Solution				 341
        Appendix 2:  Solution of the Systems of First Order, 				347		
	Nonhomogeneous Linear Differential Equations
CHAPTER 13  DIFFERENCE EQUATIONS        
	Tool Box
I	First-Order, Homogenous Linear Difference Equations                		353                  
II	First-Order, Nonhomogeneous Linear Difference Equations 			361
III	Second-Order, Homogenous Linear Difference Equations                        	365
IV	Second-Order, Nonhomogeneous Linear Difference Equations			367                                          
V	System of First-Order Linear Difference Equations				375
VI	Stability Analysis of the System of Linear Difference Equations		385
CHAPTER 14 COMPLEX NUMBERS AND SOLUTION
DIFFERENTIAL AND DIFFERENCE EQUATIONS           
	Tool Box
I	Complex Numbers 								391
II	Imaginary Roots and Solution of Differential Equations 			392
III	Imaginary Roots and Solution of Difference Equations  			395