MATHP 166 - Course Description PDF

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Course Description...

Description

(MATHp-166)

CALCULUS

This course will introduce Calculus concepts and their applications on economics and business. Materials in this course will emphasize on Differentiation and Integration. In modern times, calculus methods are widely used to almost all branches of sciences, including business and economics. Therefore, this course is designated to provide strong mathematical foundations 1.

LIMITS AND CONTINUITY

1.1. 1.2. 1.3. 1.4. 1.5.

Limits Computing Limits Computing Limits: End Behavior Limits(More rigorous discussion) Continuity

2.

DIFFERENTIATION

2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7.

Slopes and rates of change The derivative Techniques of differentiation The Chain rule Implicit Differentiation Time rates, Percentage changes and Related Rates Higher order derivation

3.

APPLICATION OF DIFFERENTIATION

3.1. Analysis of Functions: Increase, Decrease and Concavity 3.2. Analysis of Functions: Relative Extreme, First and Second Derivative (Relative Maxima and Minima) 3.3. Optimization 3.4. Revenue: Marginal Revenue, Average Revenue 3.5. : Marginal Cost, Average Cost 3.6. Profit Maximization: MR = MC

Tests

4.

DIFFERENTIATION OF MULTIVARIATE

4.1. 4.2. 4.3. 4.4.

Derivatives of Multivariate Functions: Partial Derivatives and their interpretations Differential Equations Higher- order derivatives of Multivariate functions Optimum values of multivariate functions of two independent variables

5. DIFFERENTIATION OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS 5.1. 5.2. 5.3.

Derivatives of Exponential functions Logarithmic function differentiation Constrained optima: Substitution and lagrangian multipliers

6.

INTEGRATION

6.1. 6.2. 6.3. 6.4. 6.5. 6.6. 6.7. 6.8.

The Integral Relationship between integral and differential calculus The Definite Integral The fundamental theorem Rules of integration Integration by substitution Integration by parts Business and economic applications of integral calculus

TEXTBOOK 1. George B. Thomas & Ross L. Finney, Calculus, 9th edition, Addison Wesley 2. Ernest F. Haeussler. Jr. Richard S. Paul, Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, 9th edition, Prentice Hall, International Inc. 1999. REFERENCE BOOK

1. Budnick F.S. Applied Mathematics for Business, Economics and Life & Social Sciences, Mcgraw Hills 2. Hoffman and Bradley, Calculus for Business, Economics and Life & Social Sciences, Mcgraw Hills...