The Major: Requirements
Requirements for the Major in Mathematics
(consists of four lower-division and eight upper-division courses)
LOWER-DIVISION REQUIRED COURSES
Mathematics 1A Calculus
Mathematics 1B Calculus
Mathematics 53 Multivariable Calculus
Mathematics 54 Linear Algebra & Differential Equations
UPPER-DIVISION REQUIRED COURSES
Mathematics 104 Introduction to Analysis
Mathematics 110 Linear Algebra
Mathematics 113 Introduction to Abstract Algebra
Mathematics 185 Introduction to Complex Analysis
TWO SEMI-ELECTIVES
Choose one course from two of the following three areas:
Computing: Math 128A Numerical Analysis
Geometry: Math 130 Classical Geometries, Math 140 Metric Differential Geometry, Elementary Differential Topology, or Math 142 Elementary Algebraic Topology
Logic and Foundations: Math 125A Intro to Logic, Math 135 Intro to Theory of Sets
TWO ELECTIVES
At least two additional upper-division mathematics courses must be taken, making a total of at least eight upper-division courses in the major. These two electives must receive the Faculty Advisor's written approval on the Course Approval Form which is then returned to 965 Evans for your student file. Courses in other departments may count toward this requirement provided they have substantial mathematical content.
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.
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.
Requirements for the Major in Applied Mathematics
(consists of four lower-division and eight upper-division courses)
LOWER-DIVISION REQUIRED COURSES
Mathematics 1A Calculus
Mathematics 1B Calculus
Mathematics 53 Multivariable Calculus
Mathematics 54 Linear Algebra & Differential Equations
UPPER-DIVISION REQUIRED COURSES
Mathematics 104 Introduction to Analysis
Mathematics 110 Linear Algebra
Mathematics 113 Introduction to Abstract Algebra
Mathematics 128A Numerical Analysis
Mathematics 185 Introduction to Complex Analysis
THREE CLUSTERED ELECTIVES
Applied Math majors, with signed approval by their faculty advisors, select a minimum of three upper-division elective courses to form a coherent cluster in an applied area. Courses in other departments may count toward this requirement provided they have substantial mathematical content at an appropriately advanced level.
Sample clusters with suggested courses are listed below. Not all faculty advisors will accept every course on this list, though it does reflect the general consensus. Before any class may be used as a major elective, the student must obtain their faculty advisor's signed approval on the Course Approval Form and return it to 965 Evans for their student file.
SAMPLE CLUSTERS AND COURSES
(review clusters listed or design one with faculty advisor)
Actuarial Science: Mathematics 128B, Statistics 101 or 134, 102 or 135
Classical Mechanics: Mathematics 123, 189, Physics 105, Mechanical Engineering 104
Computer Science: Mathematics 128B, Computer Science 162, 164, 170, 172, 174, 184, 188
Economics: Economics 103, 141, Mathematics 103, 105, 123, Statistics 101, 134
Fluid Mechanics: Mathematics 128B, Mechanical Engineering 105, 106, 151, 161, 163
Geophysics: Required: Geophysics 108 and 121; Elective: 1 of Geophysics 104, 122, 130 or 145
Life & Physical Sciences: Generally: Mathematics 123, 126, 128B
Logic: Mathematics 125A,B
Mathematical Biology: Required: Mathematics 127; Elective: 2 of Mathematics 170, 172, 126 or 128B
Numerical Analysis: Mathematics 123, 126, 128B
Operations Research: Statistics 101 or 134, Indust. Engnr. & Oper. Research 130, 160, 161, 162
Probability Theory: Mathematics 105, Statistics 101 or 134, 150
Quantum Mechanics: Mathematics 126, 189, Physics 137A, 137B
Social Sciences: Generally: Statistics 101 or 134, 102 or 135, 150, 151A, 151B, 153
Statistics: Mathematics 128B, Statistics 101 or 134, 102 or 135, 150, 153, 155, 156
Systems Theory: Electrical Engineering and Computer Science 104, 120, 122, 123