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
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