# Course Requirements: Major with a Teaching Concentration

### Requirements for the Major with a Teaching Concentration

The new teaching concentration is designed to increase the number and quality of math teachers. It requires the completion of three new courses: Math 151, 152 and 153. It also includes a modification to the typical pure math major sequence.

Following are the required courses for the teaching concentration:

Statistics 20 or 25 Probability and Statistics
Mathematics 1A-1B Calculus
Mathematics 53 Multivariable Calculus
Mathematics 54 Linear Algebra & Differential Equations
Mathematics 55 Discrete Mathematics
Mathematics 110 Linear Algebra
Mathematics 113 Abstract Algebra
Any two of:
Mathematics 128A Numerical Analysis,
Mathematics 130 Classical Geometry, or
Mathematics 135 Set Theory
Mathematics 151 Mathematics for the Secondary School Curriculum I
Mathematics 152 Mathematics for the Secondary School Curriculum II
Mathematics 153 Mathematics for the Secondary School Curriculum III
Mathematics 160 History of Mathematics

In addition, students are encouraged (but not required) to take Mathematics 104 Analysis, Mathematics 115 Number Theory, and Mathematics 185 Complex Analysis.

We will accept Computer Science 70 in lieu of Mathematics 55 for students with a double major in Computer Science or Electrical Engineering and Computer Science.

Following is a brief description of the Mathematics 151-153 series:

Mathematics 151 treats fractions, rational numbers, basic number theory and the Euclidean algorithm, rigid motions, dilations, geometry of similar triangles, and linear equations and their graphs.

Mathematics 152 treats linear inequalities and their graphs, simultaneous linear equations, functions (quadratic, polynomial, rational, exponential, and logarithmic), basic Euclidean geometry, and discussion of axiomatization.

Mathematics 153 treats trigonometric functions, the least upper bound axiom, limits and n-th room, area and volume, basic mensuration formulas, the theory of calculus up to the abstract definitions of exp and log.