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Official Course
Description: MCCCD Approval: 04/25/06 |
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MAT218 20066-99999
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LEC |
4 Credit(s) |
4 Period(s) |
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Mathematical Analysis for Business |
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An introduction to the mathematics required for the study of business. Includes multivariable optimization, Lagrange multipliers, linear programming, linear algebra, probability, random variables, discrete and continuous distributions. Prerequisites: Grade of C or better in MAT212 or MAT213. |
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Go to Competencies Go to Outline
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MCCCD Official Course Competencies: |
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MAT218
20066-99999 |
Mathematical Analysis
for Business |
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1. |
Solve multivariable optimization problems with and without constraints. (I, II) |
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Solve linear programming problems using Duality Theory. (II) |
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Solve linear systems with two and three equations using various matrix methods. Use technology to solve application problems. (III) |
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Solve counting problems using various counting techniques. (IV) |
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Solve probability applications. (V, VI) |
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Distinguish between continuous and discrete variables. (VI) |
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Find probabilities for normal random variables by using the standard normal distribution. (VI) |
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Describe the normal distribution and its characteristics. (VI) |
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Go to Description Go to top of Competencies
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MCCCD Official Course Outline: |
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MAT218
20066-99999 |
Mathematical Analysis
for Business |
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I. Multivariable optimization A. Partial differentiation and 3D surfaces B. Unconstrained optimization C. Lagrange multipliers D. Applications II. Linear programming A. Duality theory B. Applications III. Systems of linear equations and matrices A. Matrices applied to a system of linear equations B. Solving systems of linear equations using the Gauss-Jordan and elimination methods C. Inverse matrices and their applications to solve a system of linear equations D. Determinants E. Cramer's rule IV. Probability A. Sample Spaces and Events B. Fundamental principle of counting C. Conditional probability D. Independent events E. Bayes' theorem V. Discrete probability distributions A. Discrete random variables B. Expectation C. Bernouilli trials and the binomial distribution VI. Continuous probability distributions A. Review of Integration B. Continuous random variables C. Uniform and exponential distributions D. Standard Normal Curve E. Normal Curves F. Normally Distributed Populations G. Normally Distributed Random Variables |