MTH 125 : Modern College Mathematics
This course gives the student a better appreciation and understanding of mathematics with a minimum of algebraic manipulation. Topics may be selected from the following: sets, logic, inductive reasoning, elementary number theory, consumer mathematics, probability, statistics, and number systems. Prerequisite: Introductory Algebra competency. Three lecture hours per week. Gen. Ed. Competencies Met: Quantitative and Symbolic Reasoning.
- Use inductive and deductive reasoning to solve several types of problems.
- Use the properties and tools of sets to solve applications and determine if an infinite set is countable.
- Perform arithmetic operations in additive, multiplicative, ciphered, and positional-valued number systems and in other bases, and discuss early computational methods and tools.
- Use the properties of the real number system to solve applications; recognize if a series is arithmetic or geometric, determine the nth term, and find the sum of the first n numbers and use to solve applications and determine the golden ration of Fibonacci sequences in applications.
- Determine if a finite mathematical system is an algebraic group and/or a commutative group and explain their conclusion; perform group operations and modular arithmetic.
- Use the formulas and concepts of simple and compound interest, installment purchases, APR, mortgages, annuities, sinking funds, and retirement investments to solve applications.
- Solve applications with probability, odds, expected value, counting, tree diagrams and conditional probability.
- Determine measures of center and dispersion of data and create frequency distributions and graphs; determine the linear correlation coefficient and line of best fit and use in applications.