Washingon State Teacher Certification: Mathematics (5-12)
Standard 9: Discrete Mathematics
Candidates apply the fundamental ideas of discrete mathematics in the formulation and solution of problems.
- 9.A:
- Develop the general techniques of mathematical proof including direct proofs, proof by contradiction, contrapositive proof, and proof by induction
- 9.B:
- Demonstrate knowledge of basic elements of discrete mathematics such as graph theory, recurrence relations, finite difference approaches, and combinatorics
- 9.C:
- Apply the fundamental ideas of discrete mathematics in the formulation and solution of problems arising from real world situations
The B.S. degree in Mathematics, with a concentration in Secondary Education, covers these standards in the courses indicated in the table below. Entries represent the level of competency expected in each course with 1 being low, 2 medium, and 3 high.
9.A | 9.B | 9.C | |||||||||||
Precalculus Mathematics I (MATH 121)^{†} | |||||||||||||
Precalculus Mathematics II (MATH 122)^{†} | 1 | ||||||||||||
Calculus for the Life Sciences I (MATH 131), or Calculus I (MATH 181) |
0/1 | ||||||||||||
Data Analysis (MATH 215) | 1 | 2 | |||||||||||
Discrete Mathematics (MATH 250) | 2 | 3 | 3 | ||||||||||
Calculus II (MATH 281) | 1 | ||||||||||||
Calculus III (MATH 282) | 1 | ||||||||||||
Calculus IV (MATH 283) | 1 | ||||||||||||
Introduction to Linear Algebra (MATH 289) | 1 | ||||||||||||
Ordinary Differential Equations (MATH 312) | 1 | ||||||||||||
Probability and Statistics (MATH 315) | 2 | 1 | |||||||||||
Survey of Geometries in their Historical Contexts (MATH 321) | 2 | ||||||||||||
Junior Mathematics Seminar I (MATH 396) | 1 | ||||||||||||
Junior Mathematics Seminar II (MATH 397) | 1 | ||||||||||||
Real Analysis I (MATH 451) | 3 | ||||||||||||
Real Analysis II (MATH 452) | 3 | ||||||||||||
Abstract Algebra I (MATH 461) | 3 | 2 | |||||||||||
Senior Mathematics Seminar I (MATH 496) | 1 | ||||||||||||
Senior Mathematics Seminar II (MATH 497) | 1 | ||||||||||||
^{†}While not required for the major, these classes are prerequisites for MATH 181 |