M 383 Introduction to Analysis I 

Assessment Coordinator: Lukas Geyer

According to the below description of Mathematics Program Learning Outcomes and Assessment, 12 students were assessed for Outcome 1 in M 383.

Outcome 1

Students should demonstrate the ability to prove basic mathematical propositions and generate computations related to Sets and sequences of real numbers, and functions and derivatives of real-valued functions of one real variable.

Results

There were 23 students enrolled in the beginning of the semester. Two of these students withdrew with a W before the end of the semester. Of the remaining 21 students, 12 were majoring in Mathematics – Mathematics (non-applied option.) The problems on the final exam were used to assess the learning outcomes. Results were as follows:

Assessed Exceptional Acceptable Marginal Unacceptable
LO 1 5 2 3 2

Recommendations

None at this time.

M 384 – Introduction to Analysis II

Assessment Coordinator: Lukas Geyer

According to the below description of Mathematics Program Learning Outcomes and Assessment, 12 students were assessed for Outcome 2 in M 384.

Outcome 2

Students should demonstrate the ability to prove basic mathematical propositions and generate computations
related to Series of real numbers, sequences of real-valued functions of one real variable and their Riemann integrals.

Results

There were 16 students enrolled in the beginning of the semester. Two of these students withdrew with a W before the end of the semester. Of the remaining 14 students, 12 were majoring in Mathematics – Mathematics (non-applied option.) Problems 1-6 on the final exam were used to assess the learning outcomes. Results were as follows:

Assessed Exceptional Acceptable Marginal Unacceptable
LO 2 2 6 1 3

Recommendations

The department should possibly add basic multivariable calculus to the learning outcomes, since it is the major focus of the second half of this course.

Program Learning Outcomes

LO# Students should demonstrate the ability to:
1. Sets and sequences of real numbers, and functions and derivatives of real-valued functions of one real
variable
2. Series of real numbers, sequences of real-valued functions of one real variable and their Riemann integrals
3. Linear transformations, their matrix representations and their eigenspaces
4.

Abstract algebraic structures
a. Applied mathematics
b. Numerical analysis
c. Dynamical systems

Curriculum Map and Assessment Schedule

Course 1 2 3 4A 4B 4C Assessment Schedule
M333     X       Even fall semesters
M383 X           Odd fall semesters
M384   X         Even spring semesters
M431       X     Odd spring semesters
M441         X   Odd fall semesters
M442         X   Even spring semesters
M450       X     Every 4th fall, begins F13
M451       X     Even 4th spring, begins S14
M454           X Every 4th fall, begins F14
M455           X Every 4th spring, begins S15

Rubric

LO  Unacceptable Marginal Acceptable Excellent

1-5C

Prove basic mathematical propositions

The work is not correct and complete because either concepts are used improperly or key ideas are missing or the organization is unlikely to work even if a few more ideas were inserted.

 The work is not
correct and complete because one or two
significant ideas are missing, but the terms are properly defined and the work shows a type of organization that might well work if the right ideas were inserted in the proper
places. Also, the work is "marginal" if most of the work is leading toward a correct argument, but a false statement is inserted.		 The work is almost
correct with relevant
concepts used and ideas that could work, but not well‐organized, for example, with some steps out of order, or with something relatively minor incomplete.		 The work is fully
correct and complete, with the relevant concepts properly employed and ideas that work, and steps well‐organized into a logical sequence.

1-5C

Generate computations

 If the work is not
correct and complete because either there are
fundamental gaps in
understanding the
underlying mathematical
methods or there are two or more significant errors in the computations.		 The work is not correct
and complete because a significant component
of the analysis is missing or incorrect, but most of the components are present.		 The work is almost
correct with the
appropriate methods
employed but with a
minor error or
misunderstanding of
one part of the
computations.		 The work is fully correct and complete and displays full understanding of the appropriate mathematical
methods.

Threshold

At least half of the majors in each of the courses are assessed as "excellent" or "acceptable" for all the learning outcomes. 

 

PDF of M383 Assessment Report