Granular Sand by Julien Chopin, PhD Candidate in Physics

Sample Mathematics Major Program

Core First-Year Courses: 3/2 Engineering Program

To pick your courses you must first know your desired engineering major at Columbia, such as mechanical, electrical, computer, etc. and the major you intend to follow at Clark. The first year of courses is important to get you through the program efficiently. Your particular selections will vary depending on your Clark/Columbia major selections and AP credits. Below is a list of common first year courses.

Course Name

1, 2 Calculus, Mathematics 124 and 125 (satisfies FA)
3, 4 Physics, Physics 120 and 121 (satisfies SP)
(Phys 110 is not acceptable)
5, 6 Chemistry, Chemistry 101
7 Intro to Literary Analysis/English 20 or any other VE courses are acceptable.
8 One more perspective course is normally taken in the first year, but you may choose a course from your major area instead.

Math Track

Note: The credit for the above courses equals the allowed 8 course units per academic year. Students must fulfill the major requirements for Chemistry, Computer Science, Economics, ES, Mathematics, or Physics, or choose a self-designed liberal arts/engineering major. See the 3/2 Engineering Committee to discuss the latter. Some majors, (Chemistry, Computer Science, and Physics) require you to take summer courses or to take five courses during the academic year to complete the requirements on time.

1st year courses
Course   Course Name Units Perspec
Math 124/125 Honors Calculus I and II 2  
Phys 120 Introductory Physics (with calculus) 1
Phys 121 Introductory Physics II (with calculus) 1  
Chem 101/102 Intro Chemistry 2 SP
Engl 20 Intro to Literary Analysis 1 VE
Math 105 History of Math (a) 1 HP
or Elective xxx values perspective (c)   VP

2nd year courses
Math 130 Linear Algebra 1  
Math 131 Multivariate Calculus 1  
Math 114 Discrete Mathematics 1
Math 244 Differential Equations 1  
Phys 130 Ocsillations, Waves, and Optics 1  
Phys 127 Computer Simulation Lab 1 FA
Elective xxx values perspective (c) 1 VP
or Math 105 or History of Math (a) HP
Econ 10 Issues and Perspectives (c) 1 CP

3rd year courses
Math 172 Intro to Modern Analysis 1  
Math 225 Modern Algebra I 1  
Math 212 Numerical Analysis 1  
Math 216 Intro to Complex Analysis 1
Math 201 Proseminar (b) 1  
Elective xxx Art or Music History (c) 1 AP
Elective xxx Language Perspective (c) 1 LP
Elective xxx (choose to fit engineering specialty) 1  
    Total Clark credits 24 8
  1. History of Mathematics is offered in alternate years, so should be taken in the first or second year as possible.
  2. Capstone course in mathematics, required for the major (usually reserved for seniors, but can be taken by juniors with the strong background given by this program).
  3. These perspectives can be taken in any order.