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.

Develop the general techniques of mathematical proof including direct proofs, proof by contradiction, contrapositive proof, and proof by induction
Demonstrate knowledge of basic elements of discrete mathematics such as graph theory, recurrence relations, finite difference approaches, and combinatorics
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)
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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