# UCLA Applied Mathematics Infosheet

This page is a catch-all infosheet for UCLA applied math students like me. This page collected the requirements for students to declare the major and to graduate. It also has information on optional challenges, specifically: specialization in computing, statistics minor, and department honor program.

Because there are simply too much information, I am not able to list all the sources from which I collected these information, but all infomation in this article does come from UCLA’s official websites. Still, there can be things that I accidentally left out or mistaken. You can use this as a reference, but do not rely solely on this page.

# Applied Mathematics

## General Education

1. All UCLA students must complete a GE curriculum pattern.
2. As a transfer student, you may have fulfilled this with IGETC.

I am the second case. Therefore, I would not list the GE requirements here, and I’ll simply give you links to related pages that you may find useful.

Related pages:

## Pre-Major Subjects (10)

Mathematics sequenced subjects (Math 31A - 33B, hereinafter MSC) are calculated separately from the other preparation for the major subjects, and must be completed with a minimum overall 2.5 GPA and a grade of “C” or better in each subject.

Repetition of more than two MSC or of any MSC more than once results in automatic dismissal from the major. In other words, you only have one chance to repeat a MSC.

To declare, finish following 10 subjects.

Dept. No. Name Units
Math 31A* Differential and Integral Calculus 4
Math 31B* Integration and Infinite Series 4
Math 32A* Calculus of Several Variables 4
Math 32B* Calculus of Several Variables 4
Math 33A* Linear Algebra and Applications 4
Math 33B* Differential Equations 4
PIC 10A Introduction to Programming 5
Physics 1A Physics for Scientists and Engineers: Mechanics 5
Physics 1B Physics for Scientists and Engineers: Oscillations, Waves, Electric and Magnetic Fields 5
Chem 20A Chemical Structure 4
Chem 20B Chemical Energetics and Change 4
Physics 1C Physics for Scientists and Engineers: Electrodynamics, Optics, and Special Relativity 4
Total 43

* this subject is one of the mathematics sequenced subjects (MSC).
only one of the subjects is required.
1 All preparation subjects for any of the mathematics majors must be passed with a “C” or better and an overall 2.5 GPA.
2 All students must declare a math major before completing 160.0 units (minus AP credit).

## Major Subjects (12)

Dept. No. Name Units
Math 115A(H)+ Linear Algebra 5
Math 131A(H)+ Analysis: Real analysis; Real Numbers, Point Set Topology in Euclidean Space, etc 4
Math 131B(H) Analysis: Riemann Integral, Sequences and Series of Functions, Fourier Series, etc 4
Math 132(H) Complex Analysis for Applications 4
Math 142 Mathematical Modeling 4
Total 17

(H) this subject has a honors version.
+ this subject must be completed with “C–“ or better. It is strongly recommended that students take Math 115A as one of their first upper division subjects before Math 131A.
you only need to choose one of the two subjects.

Choose 2 sequences from the following 3 categories:

Dept. No. Name Units
Math 151A[1] Applied Numerical Methods 4
Math 151B[1] Applied Numerical Methods 4
Math 170A[2A] Probability Theory 4
Math 170B[2A] Probability Theory 4
Stats 100A[2B] Introduction to Probability 4
Stats 100B[2B] Introduction to Mathematical Statistics 4
Math 134[3] Linear and Nonlinear Systems of Differential Equations 4
Math 135[3] Ordinary Differential Equations 4
Total 8

Choose 4 upper division mathematics subjects from Math 106-199, Stats 100A - 102C:

All UCLA students must graduate with a minimum of 180 units. These units include all classes in which credit was received, whether they are letter graded, pass/no-pass, upper division, lower division, or transferred subjects.

All UCLA students must graduate with a minimum of 60 upper division units (subjects labeled 100-199).

The university also have several general requirements, please refer to: http://catalog.registrar.ucla.edu/ucla-catalog2017-34.html .

# Specialization in Computing

Specialization in Computing can be added to all of the math majors with except Mathematics of Computation.

## Required Subjects (7)

Dept. No. Name Units
PIC 10A Introduction to Programming 5
PIC 10B Intermediate Programming 5
Total 10

and two subjects from the following,

Dept. No. Name Units
PIC 15 Introduction to LISP and Symbolic Computation 5
PIC 20A Principles of Java Language with Applications 5
PIC 20B Advanced Aspects of Java Language with Applications 5
PIC 30 Machine Organization and Assembly Language Programming 5
PIC 40A Introduction to Programming for Internet 5
PIC 40B Advanced Topics in Programming for Internet 5
PIC 60 Data Structures and Algorithms 5
Total 10

and one mathematics subject from the following:

Dept. No. Name Units
MATH 61 Introduction to Discrete Structures 4
MATH 180 Graph Theory 4
Total 4

and two upper division mathematics subjects chosen from: Math 149 - 159

# Statistics Minor

The goal of our program is to develop knowledge and skills in theoretical, computational and application-oriented statistics. We have formulated our learning objectives to achieve this goal.

## Pre-minor Subjects (7)

Dept. No. Name Units
Math 31A Differential and Integral Calculus 4
Math 31B Integration and Infinite Series 4
Math 32A Calculus of Several Variables 4
Math 32B Calculus of Several Variables 4
Math 33A Bases and Dimensions 4
Stats 20 Introduction to Statistical Programming with R 4
Stats 10-14 <any one subject in this range> 5
Total 29

## Minor Subjects (6)

Option 1: 100 Sequence + 101 or 102 Sequence. Math 170A can be used as a substitute for Stats 100A. Plus, one upper division elective.

Option 2: 2 subjects from each sequence (Stats 100, Stats 101, Stats 102). Plus, one upper division elective.

The subjects involved are listed below:

Dept. No. Name Units
Math 170A Probability Theory 4
Stats 100A Introduction to Probability 4
Stats 100B Introduction to Mathematical Statistics 4
Stats 100C Linear Models 4
Stats 101A Introduction to Data Analysis and Regression 4
Stats 101B Introduction to Design and Analysis of Experiment 4
Stats 101C Introduction to Statistical Models and Data Mining 4
Stats 102A Introduction to Computational Statistics with R 4
Stats 102B Introduction to Computation and Optimization for Statistics 4
Stats 102C Introduction to Monte Carlo Methods 4
Stats <one upper division stats elective> 4
Total 24

• All subjects must be taken for a letter grade
• All upper-division subjects are 4 units
• 4 units of Statistics 199 may be applied as an elective
• Statistics 189 and 105 do not count as electives

A minimum of 20 statistics units must be kept within the department and CANNOT overlap with other major or minor programs. Stats 10 and 20 do not count.

# Department Honor Program

To be considered for admission to the Honors Program in Applied Mathematics, a student must:

• be officially enrolled in the Applied Mathematics major;
• have completed at least four subjects at UCLA in the Mathematics Department from those required in the “Preparation for the Major” or Major; and
• have at least a 3.6 GPA in such mathematics subjects taken at UCLA.

## Requirements

The student must have completed,

Dept. No. Name Units
Math 115AH Linear Algebra 5
Math 131AH Analysis: Real analysis; Real Numbers, Point Set Topology in Euclidean Space, etc 4
Math 131BH Analysis: Riemann Integral, Sequences and Series of Functions, Fourier Series, etc 4
Math 132H Complex Analysis for Applications 4
Total 17

AND One of the following three quarter sequences:

• Mathematics 151AB and any subject 152-159;
• 170AB and 171;
• Statistics 100ABC; or
• 3 from Mathematics 134, 135, 136, 146.

(Other appropriate subjects may be substituted for this requirement upon approval of the Honors Committee.)

1. The student must either:
• submit an original project as described below; or
• take, as an approved active participant, any upper division or graduate seminar offered by the Department of Mathematics. Such participation is described below.
1. The student must have a GPA of at least 3.6 in upper division mathematics and statistics subjects taken for the major.

Original Project:

• The project should involve some aspects of mathematical theory.
• The project is to be carried out under the sponsorship of a faculty advisor.
• The project may be done as part of a regular subject, a special subject (Mathematics 199), Summer REU project or by a special arrangement.
• No later than one quarter prior to graduation, the student must submit a project proposal to the Honors Committee for approval. The project itself must be submitted not later than the fifth week of the last quarter before graduation.
• The Honors Committee will evaluate the project in consultation with the faculty sponsor, and may at it’s discretion, require a personal presentation by the student.

Seminars:

Approval as an active participant requires all of the following:

• two lectures;
• a written statement, signed by the instructor, describing the nature of the participation. This statement must be submitted to the Honors Committee no later than the end of the quarter in which the seminar is given or the fifth week of the last quarter before graduation, whichever is sooner;
• approval of the Honors Committee.
• Upper division seminars in Mathematics automatically count as mathematics electives for the major.