Engineering Mathematics and Statistics

University of California, Berkeley

About the Program

Bachelor of Science (BS)

The Engineering Mathematics and Statistics major offered through the Engineering Science Program offers students an opportunity to study pure and applied mathematics as essential components of modern engineering. By combining courses in pure mathematics, applied mathematics, statistics, the physical sciences, and engineering, a student may individualize a program of study, of theory, or of applications of both. It provides a broad foundation for graduate studies in theoretical branches of engineering, as well as in mathematics, and can prepare students for a career in specific sectors of industry or business.

Admission to the Major

Prospective undergraduates to the College of Engineering will apply for admission to a specific program in the college. For further information, please see the College of Engineering's website.

Admission to Engineering Science degree programs via a Change of College application for current UC Berkeley students is competitive as there are few — if any — spaces available in this major for students admitted to other colleges at UC Berkeley. For further information regarding a Change to College of Engineering, please see the College's website.

Minor Program

There is no minor program in Engineering Mathematics and Statistics.

Other Majors offered by the Engineering Science Program

Energy Engineering (Major and Minor)
Engineering Physics (Major)
Environmental Engineering Science (Major)

Visit Program Website

Major Requirements

In addition to the University, campus, and college requirements, students must fulfill the below requirements specific to their major program.

General Guidelines

  1. All technical courses taken in satisfaction of major requirements must be taken for a letter grade.

  2. No more than one upper division course may be used to simultaneously fulfill requirements for a student’s major and minor programs.

  3. A minimum overall grade point average (GPA) of 2.0 is required for all work undertaken at UC Berkeley.

  4. A minimum GPA of 2.0 is required for all technical courses taken in satisfaction of major requirements.

For information regarding residence requirements and unit requirements, please see the College Requirements tab.

For a detailed plan of study by year and semester, please see the Plan of Study tab.

Lower Division Major Requirements

MATH 1ACalculus4
MATH 1BCalculus4
MATH 53Multivariable Calculus4
MATH 54Linear Algebra and Differential Equations4
CHEM 4AGeneral Chemistry and Quantitative Analysis 15
or CHEM 1A
1AL
General Chemistry
and General Chemistry Laboratory
PHYSICS 7APhysics for Scientists and Engineers4
PHYSICS 7BPhysics for Scientists and Engineers4
PHYSICS 7CPhysics for Scientists and Engineers4
ENGIN 7Introduction to Computer Programming for Scientists and Engineers4
or COMPSCI 61A The Structure and Interpretation of Computer Programs
ENGIN 177Advanced Programming with MATLAB3-4
or COMPSCI 61B Data Structures
or COMPSCI 61BL Data Structures and Programming Methodology
Lower division technical electives
Select two from the following: 2
Foundations of Data Science [4]
The Structure and Interpretation of Computer Programs [4] 3
Data Structures [4] 3
Data Structures and Programming Methodology
Great Ideas of Computer Architecture (Machine Structures) [4]
Machine Structures (Lab-Centric)
Discrete Mathematics and Probability Theory [4]
Designing Information Devices and Systems I [4]
Designing Information Devices and Systems II [4]
Introduction to Computer Programming for Scientists and Engineers [4] 3
Manufacturing and Design Communication [4]
Properties of Materials
and Properties of Materials Laboratory
Discrete Mathematics [4]
Introduction to Solid Mechanics [3]
1

CHEM 4A is intended for students majoring in chemistry or a closely-related field.

2

Other courses may be used if approved by a faculty adviser.

3

This course may only be used as a lower division technical elective if not being used to satisfy other requirements above.

Upper Division Requirements

Due to the interdisciplinary nature of this major, electives must be selected and approved in consultation with a faculty adviser.

MATH 110Abstract Linear Algebra4
MATH 104Introduction to Analysis4
MATH 105Second Course in Analysis4
or MATH 185 Introduction to Complex Analysis
MATH 128ANumerical Analysis4
STAT 134Concepts of Probability4
or EECS 126 Probability and Random Processes
or STAT C140 Probability for Data Science
or IND ENG 172 Probability and Risk Analysis for Engineers
Select three math/statistics technical electives10-12
Select one course in mathematics, one course in statistics, and one course from either, from the following:
Honors Introduction to Analysis [4]
Second Course in Analysis [4]
Honors Introduction to Abstract Algebra [4]
Introduction to Abstract Algebra [4]
Second Course in Abstract Algebra [4]
Introduction to Number Theory [4]
Cryptography [4]
Fourier Analysis, Wavelets, and Signal Processing [4]
Mathematical Tools for the Physical Sciences [4]
Mathematical Tools for the Physical Sciences [4]
Ordinary Differential Equations [4]
Programming for Mathematical Applications [4]
Introduction to Partial Differential Equations [4]
Mathematical and Computational Methods in Molecular Biology [4]
Numerical Analysis [4]
Groups and Geometries [4]
Incompleteness and Undecidability [4]
Metric Differential Geometry [4]
Elementary Differential Topology [4]
Elementary Algebraic Topology [4]
Elementary Algebraic Geometry [4]
Mathematics of the Secondary School Curriculum I [4]
Mathematics of the Secondary School Curriculum II [4]
Mathematical Methods for Optimization [4]
Combinatorics [4]
Honors Introduction to Complex Analysis [4]
Introduction to Complex Analysis [4]
Mathematical Methods in Classical and Quantum Mechanics [4]
Methods of Engineering Analysis [3] (counts as a Math Elective)
Concepts of Statistics [4]
Stochastic Processes [3]
Linear Modelling: Theory and Applications [4]
Sampling Surveys [4]
Introduction to Time Series [4]
Modern Statistical Prediction and Machine Learning [4]
Seminar on Topics in Probability and Statistics [3]
Experimental Design [4]
Additional upper division technical electives: select 16 units of upper division engineering courses, in consultation with faculty adviser 116
1

Technical electives must include 16 units of upper division engineering courses, selected in consultation with the student's faculty adviser, in order to provide depth in an area of engineering with high mathematical content—typically, most of these courses will come from a single engineering department, but courses that complement each other from different departments are also permissible. Engineering courses cannot include: any course taken on a P/NP basis; BIO ENG 100, DATA C104, DES INV courses (except DES INV 190E), ENGIN 125, ENGIN 157AC, ENGIN 180, ENGIN 183 series, ENGIN 185, ENGIN 187, ENGIN 195 series, IND ENG 172, IND ENG 185, IND ENG 186, IND ENG 190 series, IND ENG 191, IND ENG 192, IND ENG 195, MEC ENG 190K, 191AC, 191K. Graded research units (such as H194 or 196) are reviewed on a case by case basis and may be petitioned.

College Requirements

Students in the College of Engineering must complete no fewer than 120 semester units with the following provisions: 

  1. Completion of the requirements of one engineering major program of study. 
  2. A minimum overall grade point average of 2.00 (C average) and a minimum 2.00 grade point average in upper division technical coursework required of the major.
  3. The final 30 units and two semesters must be completed in residence in the College of Engineering on the Berkeley campus.
  4. All technical courses (math, science, and engineering) that can fulfill requirements for the student's major must be taken on a letter graded basis (unless they are only offered P/NP). 
  5. Entering freshmen are allowed a maximum of eight semesters to complete their degree requirements. Entering junior transfers are allowed five semesters to complete their degree requirements. Summer terms are optional and do not count toward the maximum. Students are responsible for planning and satisfactorily completing all graduation requirements within the maximum allowable semesters. 
  6. Adhere to all college policies and procedures as they complete degree requirements.
  7. Complete lower division technical courses before enrolling in upper division technical courses. 

Humanities and Social Sciences (H/SS) Requirement

To promote a rich and varied educational experience outside of the technical requirements for each major, the College of Engineering has a six-course Humanities and Social Sciences breadth requirement, which must be completed to graduate. This requirement, built into all the engineering programs of study, includes two Reading and Composition courses (R&C), and four additional courses within which a number of specific conditions must be satisfied. See the humanities and social sciences section of our website for details.

Class Schedule Requirements

  • Minimum units per semester: 12.0
  • Maximum units per semester:  20.5
  • Minimum technical courses: College of Engineering undergraduates must include at least two letter graded technical courses (of at least 3 units each) in their semester program. Every semester students are expected to make satisfactory progress in their declared major. Satisfactory progress is determined by the student's Engineering Student Services Advisor. (Note: For most majors, normal progress will require enrolling in 3-4 technical courses required of your current major each semester.) Students who are not in compliance with this policy by the end of the fifth week of the semester are subject to a registration block that will delay enrollment for the following semester. 
  • All technical courses (math, science, engineering) that satisfy requirements for the major must be taken on a letter-graded basis (unless only offered as P/NP).

Minimum Academic Requirements

  • Students must have a minimum overall and semester grade point average of 2.00 (C average). Students will be subject to dismissal from the University if during any fall or spring semester their overall UC GPA falls below a 2.00, or their semester GPA is less than 2.00. 
  • Students must achieve a minimum grade point average of 2.00 (C average) in upper division technical courses required for the major curriculum each semester.
  • A minimum overall grade point average of 2.00 and a minimum 2.00 grade point average in upper division technical course work required for the major are required to earn a Bachelor of Science in the College of Engineering.
  • Students must make normal degree progress toward the Bachelor of Science degree and their officially declared major.

Unit Requirements

To earn a Bachelor of Science in Engineering, students must complete at least 120 semester units of courses subject to certain guidelines:

  • Completion of the requirements of one engineering major program of study. 
  • A maximum of 16 units of special studies coursework (courses numbered 97, 98, 99, 197, 198, or 199) is allowed to count towards the B.S. degree, and no more than 4 units in any single term can be counted.
  • A maximum of 4 units of physical education from any school attended will count towards the 120 units.
  • Passed (P) grades may account for no more than one third of the total units completed at UC Berkeley, Fall Program for Freshmen (FPF), UC Education Abroad Program (UCEAP), or UC Berkeley Washington Program (UCDC) toward the 120 overall minimum unit requirement. Transfer credit is not factored into the limit. This includes transfer units from outside of the UC system, other UC campuses, credit-bearing exams, as well as UC Berkeley Extension XB units.

Normal Progress

Students in the College of Engineering must enroll in a full-time program and make normal progress each semester toward their declared major.  Students who fail to achieve normal academic progress shall be subject to dismissal. (Note: Students with official accommodations established by the Disabled Students' Program, with health or family issues, or with other reasons deemed appropriate by the dean may petition for an exception to normal progress rules.)

UC and Campus Requirements

University of California Requirements

Entry Level Writing

All students who will enter the University of California as freshmen must demonstrate their command of the English language by satisfying the Entry Level Writing Requirement (ELWR). The UC Entry Level Writing Requirement website provides information on how to satisfy the requirement.

American History and American Institutions

The American History and Institutions (AH&I) requirements are based on the principle that a US resident graduated from an American university should have an understanding of the history and governmental institutions of the United States.

Campus Requirement

American Cultures

The American Cultures requirement is a Berkeley campus requirement, one that all undergraduate students at Berkeley need to pass in order to graduate. You satisfy the requirement by passing, with a grade not lower than C- or P, an American Cultures course. You may take an American Cultures course any time during your undergraduate career at Berkeley. The requirement was instituted in 1991 to introduce students to the diverse cultures of the United States through a comparative framework. Courses are offered in more than fifty departments in many different disciplines at both the lower and upper division level.

 

Plan of Study

For more detailed information regarding the courses listed below (e.g., elective information, GPA requirements, etc.), please see the College Requirements and Major Requirements tabs.

Freshman
FallUnitsSpringUnits
CHEM 4A or 1A and 1AL15MATH 1B4
MATH 1A4PHYSICS 7A4
Reading & Composition Part A Course54ENGIN 7 or COMPSCI 61A4
Humanities/Social Sciences Course53-4First Lower Division Technical Elective23-4
 16-17 15-16
Sophomore
FallUnitsSpringUnits
MATH 534MATH 544
PHYSICS 7B4PHYSICS 7C4
Second Lower Division Technical Elective23-4ENGIN 177, COMPSCI 61B, or COMPSCI 61BL3-4
Reading & Composition Part B Course54Humanities/Social Sciences Course53-4
 15-16 14-16
Junior
FallUnitsSpringUnits
MATH 1044MATH 105 or 1854
MATH 1104MATH 128A4
STAT 134, EECS 126, IND ENG 172, or STAT C1404Upper Division Technical Elective3,44
Humanities/Social Science Course53-4Humanities/Social Science Course53-4
 15-16 15-16
Senior
FallUnitsSpringUnits
Upper Division Technical Electives3,410-12Upper Division Technical Electives3,412
Free Electives4-5Free Electives4-5
 14-17 16-17
Total Units: 120-131
1

CHEM 4A is intended for students majoring in chemistry or a closely-related field.

2

Two lower division courses in engineering, mathematics, or statistics, chosen in consultation with the faculty adviser; options include CIV ENG C30/MEC ENG C85, COMPSCI C8COMPSCI 61A, COMPSCI 61B, COMPSCI 61BL, COMPSCI 61C, COMPSCI 61CL, COMPSCI 70ENGIN 7, ENGIN 29, MAT SCI 45 plus MAT SCI 45L, MATH 55, but other courses may also be used if approved by a faculty adviser. Courses used to satisfy the two computer science course requirements may NOT also be used for lower division technical electives. They can only be used to complete one requirement.

3

Technical electives must include 16 units of upper division engineering courses, selected in consultation with the student's faculty adviser, in order to provide depth in an area of engineering with high mathematical content—typically, most of these courses will come from a single engineering department, but courses that complement each other from different departments are also permissible. Engineering courses cannot include: any course taken on a P/NP basis; BIO ENG 100, DATA C104, DES INV courses (except DES INV 190E), ENGIN 125, ENGIN 157AC, ENGIN 180, ENGIN 183 series, ENGIN 185, ENGIN 187, ENGIN 195 series, IND ENG 172, IND ENG 185, IND ENG 186, IND ENG 190 series, IND ENG 191, IND ENG 192, IND ENG 195, MEC ENG 190K, MEC ENG 191AC, MEC ENG 191K. Graded research units (such as H194 or 196) are reviewed on a case by case basis and may be petitioned.

4

Three additional upper division technical courses as follows: One in mathematics, one in statistics and one from either math or statistics from among: all upper division Math courses (except MATH C103, 125A, 135, 160, and any course numbered 191 or higher) and ENGIN 117 (counts as a math elective); STAT 135, STAT 150, STAT 151A, STAT 152, STAT 153, STAT 154, STAT 157, STAT 158.

5

The Humanities/Social Sciences (H/SS) requirement includes two approved Reading & Composition (R&C) courses and four additional approved courses, with which a number of specific conditions must be satisfied. R&C courses must be taken for a letter grade (C- or better required). The first half (R&C Part A) must be completed by the end of the freshman year; the second half (R&C Part B) must be completed by no later than the end of the sophomore year. The remaining courses may be taken at any time during the program. See engineering.berkeley.edu/hss for complete details and a list of approved courses.

Major Map

Major Maps help undergraduate students discover academic, co-curricular, and discovery opportunities at UC Berkeley based on intended major or field of interest. Developed by the Division of Undergraduate Education in collaboration with academic departments, these experience maps will help you:

  • Explore your major and gain a better understanding of your field of study

  • Connect with people and programs that inspire and sustain your creativity, drive, curiosity and success

  • Discover opportunities for independent inquiry, enterprise, and creative expression

  • Engage locally and globally to broaden your perspectives and change the world

  • Reflect on your academic career and prepare for life after Berkeley

Use the major map below as a guide to planning your undergraduate journey and designing your own unique Berkeley experience.

View the Engineering Mathematics and Statistics Major Map PDF.

Courses

Engineering Mathematics and Statistics

Contact Information

Engineering Science Program

Visit Program Website

Engineering Science Chair

Scott Moura, PhD

625 Davis Hall

smoura@berkeley.edu

Engineering Student Services Advisor

Olivia Chan

Phone: 510-642-7594

http://engineering.berkeley.edu/ESS

oychan@berkeley.edu

Undergraduate Staff Advisor

Erin Leigh Inama

750 Davis Hall

http://engineeringscience.berkeley.edu/

engineeringscience@berkeley.edu

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