The Mathematics Core Curriculum
At Harvey Mudd College, all students take at least three semesters of mathematics (consisting of six half courses), regardless of their major. These three semesters are known as the Common Core mathematics courses.
Core Courses
For all classes after the class of 2014 (who should see special information below), the three semesters are
- Mathematics 30G or Mathematics 30B: Calculus, fall, first half;
- Mathematics 35: Probability and Statistics, fall, second half;
- Mathematics 40: Introduction to Linear Algebra, spring, first half;
- Mathematics 45: Introduction to Differential Equations, spring, second half;
- Mathematics 60: Multivariable Calculus, and Mathematics 65: Differential Equations and Linear Algebra II, two final half-semester classes.
Math 30B or 30G and Math 35, 40, and 45 are normally taken in your first year. Math 60 and 65 are either taken in your second year or as part of Summer Math.
For more detailed course descriptions and placement information, see the Core Math Placement webpage.
This structure allows us to
- Return to key subject matter and applications several times at increasingly more sophisticated levels
- Introduce important mathematical concepts from discrete mathematics, linear algebra, differential equations, and probability and statistics into the first year
- Provide a calculus-based introduction to probability and statistics for all first-year students
- Integrate topics and examples with other first- and second-year courses in the Core, especially those in physics, chemistry, and systems engineering
- Make it easier for students with a strong introduction to certain mathematical ideas to be placed more accurately into modules that fit their preparation
The integrated Calculus and Linear Algebra course (Mathematics 30B or Mathematics 30G) allows these related topics to flow seamlessly together. The calculus component is advanced and covers multivariable material. To compensate for the diminished review of single-variable calculus, we have implemented web-based calculus tutorials that are available to students during the summer before they enroll and that should be completed early in your first semester.
For more detailed course descriptions and placement information, see the Core Math Placement webpage.
For the Class of 2014
The classes for the class of 2014 continue the process of transitioning from the older core to the new classes developed as part of the Core revision effort. For your class, the three semesters are divided as follows:
- Mathematics 25G or Mathematics 25B: Calculus and Linear Algebra, a full-semester course;
- Mathematics 35: Probability and Statistics, and Mathematics 45: Introduction to Differential Equations, two half-semester courses; and
- Mathematics 60: Multivariable Calculus, and Mathematics 65: Differential Equations and Linear Algebra II, two final half-semester classes.
Math 25B or 25G and Math 35 and 45 are normally taken in your first year. Math 60 and 65 are either taken in your second year or as part of Summer Math.
The integrated Calculus and Linear Algebra course (Mathematics 25B or Mathematics 25G) allows these related topics to flow seamlessly together. The calculus component is advanced and covers multivariable material. To compensate for the diminished review of single-variable calculus, we have implemented web-based calculus tutorials that are available to students during the summer before they enroll and that should be completed early in your first semester.
For more detailed course descriptions and placement information, see the Core Math Placement webpage.
For the Class of 2013
The classes for the class of 2013 are a mix of older classes and new classes developed as part of the Core revision effort. For your class, the three semesters are divided into six half-courses:
- Mathematics 11 or Mathematics 11M: Calculus
- Mathematics 12: Introduction to Linear Algebra
- Mathematics 13: Differential Equations
- Mathematics 14: Multivariable Calculus I
- Mathematics 62: Introduction to Probability and Statistics
- Mathematics 64A: Differential Equations/Linear Algebra II
Typically, Math 11/11M–14 courses would be taken in your first year, with Math 62–64A taken in your second year.
Classes Prior to 2013
Prior to 2013, the Core consisted of four semesters with eight half-courses:
- Mathematics 11: Calculus
- Mathematics 12: Introduction to Linear Algebra
- Mathematics 13: Differential Equations
- Mathematics 14: Multivariable Calculus I
- Mathematics 61: Multivariable Calculus II
- Mathematics 62: Introduction to Probability and Statistics
- Mathematics 63: Linear Algebra II
- Mathematics 64: Differential Equations II
Typically, Math 11–14 would have been taken in the first year, with Math 61–64 taken in your second year.



