Washingon State Teacher Certification: Mathematics (5-12)
Standard 8: Calculus
Candidates demonstrate a conceptual understanding of and procedural facility with calculus concepts.
- 8.A:
- Demonstrate a conceptual understanding of limit, continuity, differentiation, and integration and have a thorough background in the techniques and application of the calculus
- 8.B:
- Apply concepts of function, geometry, and trigonometry in solving problems involving calculus
- 8.C:
- Use the concepts of calculus and mathematical modeling to represent and solve problems taken from real world contexts
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.
8.A | 8.B | 8.C | |||||||||||
Precalculus Mathematics I (MATH 121)^{†} | |||||||||||||
Precalculus Mathematics II (MATH 122)^{†} | |||||||||||||
Calculus for the Life Sciences I (MATH 131), or 1Calculus I (MATH 181) |
2 | 2 | 3 | ||||||||||
Data Analysis (MATH 215) | |||||||||||||
Discrete Mathematics (MATH 250) | |||||||||||||
Calculus II (MATH 281) | 2 | 2 | 3 | ||||||||||
Calculus III (MATH 282) | 2 | 2 | 3 | ||||||||||
Calculus IV (MATH 283) | 2 | 2 | 3 | ||||||||||
Introduction to Linear Algebra (MATH 289) | |||||||||||||
Ordinary Differential Equations (MATH 312) | 2 | 2 | 3 | ||||||||||
Probability and Statistics (MATH 315) | 2 | 2 | 3 | ||||||||||
Survey of Geometries in their Historical Contexts (MATH 321) | |||||||||||||
Junior Mathematics Seminar I (MATH 396) | |||||||||||||
Junior Mathematics Seminar II (MATH 397) | |||||||||||||
Real Analysis I (MATH 451) | 3 | 3 | |||||||||||
Real Analysis II (MATH 452) | 3 | 3 | |||||||||||
Abstract Algebra I (MATH 461) | |||||||||||||
Senior Mathematics Seminar I (MATH 496) | |||||||||||||
Senior Mathematics Seminar II (MATH 497) | |||||||||||||
^{†}While not required for the major, these classes are prerequisites for MATH 181 |