Appendix A:  Major Program Goals Matrix  By Course  for the Mathematics Major       

 

Mathematics Major (MATA)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

COURSES

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

MAT 127 Calculus A*

MAT 317 Linear Programming

MAT 407 Projective Geometry

MAT 128 Calculus B*

MAT 318 Operations Research

MAT 420 Complex Analysis*

MAT 200 Discrete Mathematics*

MAT 326 Differential Equations

MAT 440 Mathematical Logic

MAT 205 Linear Algebra*

MAT 331 Numerical Methods

MAT 451 Seminar in Algebra

MAT 229 Multivariable Calculus*

MAT 351 Geometry

MAT 452 Seminar in Geometry/Topology

MAT 301 Number Theory

MAT 355 History of Mathematics

MAT 453 Seminar in Analysis

MAT 305 Abstract Algebra*

MAT 402 Real Analysis*

MAT 454 Seminar in Applied Mathematics

MAT 315 Topics in Linear Algebra

MAT 403 Advanced Calculus

 

MAT 316 Probability

MAT 405 Topology

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

SYMBOLS      1 Elementary Level

2 Intermediate Level

3 Advanced Level

                 * Required courses for the MATA Major

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

MAT Courses by Number

127

2

2

2

3

3

3

3

3

3

3

3

3

3

4

4

4

4

4

4

4

4

4

4

 

 

/

0

0

2

0

0

1

1

1

1

2

3

5

5

0

0

0

0

2

4

5

5

5

5

 

 

128

0

5

9

1

5

5

6

7

8

6

1

1

5

2

3

5

7

0

0

1

2

3

4

 

I. GENERAL GOALS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a. Students will be well-versed at the undergraduate level in the major area of mathematics

1

1

1

2

2

3

3

2

2

2

2

3

3

2

3

3

3

3

3

3

3

3

3

3

 

b. Students should be able to read and write mathematics, and explain mathematics to others

1

1

1

2

2

3

2

2

 

 

2

 

2

 

3

3

3

3

3

3

3

3

3

3

 

c. Students should have the ability to assess the possible solution to a problem. They should also have the habit for assessing it

1

1

 

2

 

 

 

2

2

2

2

3

 

 

 

 

 

 

3

 

 

 

 

 

 

d. Students should be able to use computers and other technological tools to solve problems. They should be able to recognize and assess the appropriateness of using these tools

 

 

1

 

 

 

2

 

2

2

3

 

 

 

 

 

 

 

 

 

 

 

 

3

 

e. Students will be able to apply knowledge learned in course to solve problems in other courses as well as problems arising from outside the structure of a particular course

1

 

1

2

 

2

2

 

 

 

 

 

 

 

3

3

3

3

 

3

3

3

3

3

 

f. Students should be able to use the experimental method to make a conjecture, check its validity and modify the original conjecture

 

 

 

 

 

 

 

2

2

2

2

3

 

 

 

 

 

 

 

 

 

 

 

3

 

 

COURSES

 

127

2

2

2

3

3

3

3

3

3

3

3

3

3

4

4

4

4

4

4

4

4

4

4

 

 

/

0

0

2

0

0

1

1

1

1

2

3

5

5

0

0

0

0

2

5

5

5

5

5

 

 

128

0

5

9

1

5

5

6

7

8

6

1

1

5

2

3

5

7

0

0

1

2

3

4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

II. THEORETICAL UNDERSTANDING

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a. Students should be able to think logically and abstractly

 

1

1

1

1

2

2

1

1

1

1

1

2

2

3

3

3

3

3

3

3

3

3

3

 

b. Students should be able to read, write and explain proofs

 

1

 

 

1

2

 

 

 

 

 

 

2

2

3

3

3

3

3

3

3

3

3

3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

III. Applications

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a. Students should be aware of the prevalence of mathematics in the world and its applications

1

1

1

 

 

 

 

2

2

2

2

2

 

2

 

 

 

 

 

 

 

 

 

3

 

b. Students should be able to use abstract ideas in concrete settings

 

1

 

 

 

 

 

1

2

2

2

2

 

 

 

 

 

 

 

 

 

 

 

3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

IV. WORK HABITS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Students should have the ability and initiative to learn and work not only independently but also effectively in a group

1

1

1

1

1

2

2

2

2

2

2

2

2

2

3

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3

3