MATH 1410 Number Concepts/Algebra Structures
Competencies
The student will be able to:
1. Apply Polya’s four steps to problem solving.
2. Use inductive reasoning to predict the nth term of a sequence (arithmetic,
geometric, and other).
3. Work with elementary logic using conditionals and quantifiers.
4. Work problems using sets and set notation.
5. Solve problems using relations and Cartesian products.
6. Work problems that deal with functions and their special properties.
7. Work with patterns of numeration both with base ten and other bases.
8. Work the mathematical operations over the set of whole numbers utilizing
computations in several bases.
9. Perform the mathematical operations utilizing the system of integers.
10. Work with elementary number theory using primes, composites, and
factorization.
11. Find the greatest common factor and least common multiple.
12. Work with modular arithmetic.
13. Perform the mathematical operations utilizing rational numbers.
14. Solve problems using ratios and proportions.
15. Perform the mathematical operations using decimals.
16. Use rules for approximate numbers and scientific notation.