Contents:
Course changes
Major and minor requirements
Course equivalences

Course changes

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Most courses are unchanged or simply renumbered (course equivalences), although there are changes
in the calculus sequence to make it more compatible with AP calculus credits,
in the analysis sequence to make it more accessible and robust, and
in the computer science curriculum to enhance the upper level offerings.

Calculus:  The old MAT 135, 235, and 335 calculus sequence has been replaced by MAT

• 113 (Calculus II) which includes infinite series and is aligned with AP Calculus BC,
• 160 (Calculus III) including multivariable material from old 135 and some vector calculus material from old 335,
• 235 (Differential Equations) which will drop the introduction to infinite series, allowing more depth in other topics.

Students with credit for old MAT 135 who lack an introduction to infinite series, should take MAT 235 (DE and Infinite Series) in Fall 2010 - the last time this version will be offered. Those having an AP Calculus BC score of 4 or 5 already have an infinite series foundation and may take 235 if and when they choose. The old MAT 135 credit is equivalent to the new 160 credit. A student with credit for MAT 135 may not take 113 or 160.

Analysis:  The old analysis sequence of MAT 300 and 430 (Real Analysis) has been replaced by three MAT courses:

• 230 (Sets and Proofs) is one of a trio of courses, along with 255 (Number Theory) and 220 (old 221) (Combinatorics and Graph Theory), that will serve as an introduction to proof for higher level courses including 330;
• 330 (Real Analysis I) which will focus on the theory of one variable calculus;
• 430 (Real Analysis II) will explore more advanced topics.

The old MAT 300 credit is equivalent to the new 230 credit and old 430 is equivalent to new 330. A student may not receive credit for both the old and new equivalents. Those with credit for old 430 may take the new 430 (Real Analysis II) with permission of instructor.

Computer Science:  old CSC 323 (Object-Oriented Programming) will be dropped in favor of two new CSC courses:

• 322 (Programming Languages) which will study various programming principles and paradigms,
• 324 (Theory of Computation) which does not require a computer science background but does require a background in proofs.

Students with credit for 323 may also take 322.

Major and minor requirements

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Class of 2011: old major requirements
Class of 2012 and 2013: students may choose to fulfill old or new major requirements.
Classes of 2014 and later: new major requirements.

Students with credit for old MAT 135 who lack an introduction to infinite series are urged to take MAT 235 (DE and Infinite Series) in Fall 2010 - the last time this version will be offered. Those having an AP Calculus BC score of 4 or 5 already have an infinite series foundation and may take 235 if and when they choose. Note that 235 is a prerequisite for MAT/CSC 315.

New major requirements with equivalent old numbers in parentheses:
The major in Mathematics consists of eleven Mathematics or Computer Science courses:

• MAT 113 (139) (Students with credit for MAT 135 may replace MAT 113 with another elective numbered above 200.)
• MAT 150;
• either MAT 140 (137) or MAT 160 (135);
• one of MAT 220 (221), MAT 230 (300), or MAT 255;
• two of MAT/CSC 315 (CSC 325), MAT 330 (old MAT 430), or MAT 355;
• five electives from courses numbered above 200, with at least two of those above 300.

New minor requirements with equivalent old numbers in parentheses:
The minor in Mathematics consists of six Mathematics or Computer Science courses:

• MAT 113 (139) (Students with credit for MAT 135 may replace MAT 113 with another elective numbered above 200.)
• MAT 150;
• either MAT 140 (137) or MAT 160 (135);
• one of MAT 220 (221), MAT 230 (300), or MAT 255;
• one of MAT/CSC 315 (CSC 325), MAT 330 (old MAT 430), or MAT 355;
• one elective from courses numbered above 200.

Unless a specific exception is approved by the department, the courses above 200 must be taken at Davidson and may not include independent studies. No pass-fail course may be applied toward the minor.

Old major requirements with equivalent new numbers in parentheses:
The major in mathematics consists of eleven mathematics or computer science courses: MAT 135 (160), 150, 235, 300 (230), 355, one course from each of Group A, B, and C listed below, and three additional mathematics or computer science courses chosen from 137 (140) and all courses numbered above 200.

• Group A: CSC 231 (221) and 325 (MAT 315); MAT 210 and 341
• Group B: MAT 221 (220), 255, and 365
• Group C: MAT 335 (no longer offered), 340, and 435 (331)

At least five courses in the major must be at the 300- or 400-level. At most three computer science courses may be included in the major. Computer science independent studies may not be included unless the specific instance is approved by the department.

Old minor requirements with equivalent new numbers in parentheses:
A minor in mathematics consists of six mathematics courses: MAT 135 (160), 150, 235, 300 (230), and two additional mathematics courses chosen from 137 (140) and all courses numbered above 200, one of which must have MAT 300 (220 or 230 or 255) as a prerequisite. Unless a specific exception is approved by the department, the five courses numbered above 135 (160) must be taken at Davidson and may not include independent studies or computer science courses other than Computer Science 325.

Course Equivalences

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Equivalent course numbers in the old and new curriculum are indicated below.  Requirements in the old or new majors, minors, or concentrations may be fulfilled by using these course equivalences.  A student may not receive credit for both the old and new equivalents.