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 of College to 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 14
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
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 [4] 3
Great Ideas of Computer Architecture (Machine Structures) [4]
Machine Structures (Lab-Centric) [4]
Discrete Mathematics and Probability Theory [4]
Introduction to Computer Programming for Scientists and Engineers [4] 3
Visualization for Design
and Three-Dimensional Modeling for Design
Introduction to Manufacturing and Tolerancing
(Two of E25, 26, 27 count as one course for this requirement.)
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 110Linear Algebra4
MATH 104Introduction to Analysis4
MATH 105Second Course in Analysis4
or MATH 185 Introduction to Complex Analysis
MATH 128ANumerical Analysis4
STAT 134Concepts of Probability4
Select three math/statistics technical electives10-12
Select one course in mathematics, one course in statistics, and one course from either, from the following:
Second Course in Analysis [4]
Introduction to Abstract Algebra [4]
Fourier Analysis, Wavelets, and Signal Processing [4]
Ordinary Differential Equations [4]
Mathematical Logic [4]
Introduction to Partial Differential Equations [4]
The Classical Geometries [4]
Introduction to the Theory of Sets [4]
Metric Differential Geometry [4]
Elementary Algebraic Topology [4]
Mathematical Methods for Optimization [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]
The Design and Analysis of Experiments [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. NOTE: IND ENG 172 is an alternate course to STAT 134. Students may not receive credit for both STAT 134 and IND ENG 172. IND ENG 172 cannot be used to fulfill engineering unit requirements; it can only be used as a substitution for STAT 134. Engineering courses cannot include: any course taken on a P/NP basis; BIO ENG 100, COMPSCI 195, COMPSCI H195, DES INV courses (except DES INV 190E), ENGIN 125, ENGIN 157AC, IND ENG 172, ENGIN 180IND ENG 185, IND ENG 186, IND ENG 190 series, IND ENG 191, IND ENG 192, IND ENG 195, MEC ENG 191AC, MEC ENG 190K, MEC ENG 191K.

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 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 a maximum of four semesters to complete their degree requirements. (Note: junior transfers admitted missing three or more courses from the lower division curriculum are allowed five semesters.) 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 the lower division program before enrolling in upper division engineering 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. Follow these guidelines to fulfill this requirement:

  1. Complete a minimum of six courses from the  approved Humanities/Social Sciences (H/SS) lists
  2. Courses must be a minimum of 3 semester units (or 4 quarter units).
  3. Two of the six courses must fulfill the college's Reading and Composition (R&C) requirement. These courses must be taken for a letter grade (C- or better required) and must be completed by no later than the end of the sophomore year (fourth semester of enrollment). The first half of R&C, the “A” course, must be completed by the end of the freshman year; the second half of R&C, the “B" course, must be completed by no later than the end of the sophomore year. Use the Class Schedule to view R&C courses offered in a given semester. View the list of exams that can be applied toward the first half of the R&C requirement. Note: Only the first half of R&C can be fulfilled with an AP or IB exam score. Test scores do not fulfill the second half of the R&C requirement for College of Engineering students.
  4. The four additional courses must be chosen within College of Engineering guidelines from the H/SS lists (see below). These courses may be taken on a Pass/Not Passed basis (P/NP).
  5. Two of the six courses must be upper division (courses numbered 100-196).
  6. One of the six courses must satisfy the campus American Cultures requirement. For detailed lists of courses that fulfill American Cultures requirements, visit the American Cultures site. 
  7. A maximum of two exams (Advanced Placement, International Baccalaureate, or A-Level) may be used toward completion of the H/SS requirement. View the list of exams that can be applied toward H/SS requirements.
  8. Courses may fulfill multiple categories. For example, CY PLAN 118AC satisfies both the American Cultures requirement and one upper division H/SS requirement.
  9. No courses offered by any engineering department other than BIO ENG 100, COMPSCI C79, ENGIN 125, ENGIN 157AC, and MEC ENG 191K may be used to complete H/SS requirements.
  10. Foreign language courses may be used to complete H/SS requirements. View the list of language options.
  11. Courses numbered 97, 98, 99, or above 196 may not be used to complete any H/SS requirement.
  12. The College of Engineering uses modified versions of five of the College of Letters and Science (L&S) breadth requirements lists to provide options to our students for completing the H/SS requirement. The five areas are:
  • Arts and Literature
  • Historical Studies
  • International Studies
  • Philosophy and Values
  • Social and Behavioral Sciences

Within the guidelines above, choose courses from any of the Breadth areas listed above. (Please note that you cannot use courses on the Biological Science or Physical Science Breadth list to complete the H/SS requirement.) To find course options, go to the Class Schedule, select the term of interest, and use the Breadth Requirements filter.

Class Schedule Requirements

  • Minimum units per semester: 12.0
  • Maximum units per semester:  20.5
  • Minimum technical courses: College of Engineering undergraduates must enroll each semester in no fewer than two technical courses (of a minimum of 3 units each) required of the major program of study in which the student is officially declared. (Note: For most majors, normal progress will require enrolling in 3-4 technical courses each 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 (Grade) Requirements

  • A minimum overall and semester grade point average of 2.00 (C average) is required of engineering undergraduates. 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 is needed to earn a Bachelor of Science in Engineering.

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 towards the 120 units.
  • A maximum of 4 units of physical education from any school attended will count towards the 120 units.
  • Students may receive unit credit for courses graded P (including P/NP units taken through EAP) up to a limit of one-third of the total units taken and passed on the Berkeley campus at the time of graduation.

Normal Progress

Students in the College of Engineering must enroll in a full-time program and make normal progress each semester toward the bachelor's degree. The continued enrollment of students who fail to achieve minimum academic progress shall be subject to the approval of the dean. (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 fulfilling the Entry Level Writing Requirement. Satisfaction of this requirement is also a prerequisite to enrollment in all reading and composition courses at UC Berkeley. 

American History and American Institutions

The American History and Institutions requirements are based on the principle that a U.S. resident graduated from an American university should have an understanding of the history and governmental institutions of the United States.

Campus Requirement

American Cultures

American Cultures (AC) is the one requirement that all undergraduate students at UC Berkeley need to take and pass in order to graduate. The requirement offers an exciting intellectual environment centered on the study of race, ethnicity, and culture in the United States. AC courses offer students opportunities to be part of research-led, highly accomplished teaching environments, grappling with the complexity of American Culture.

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 1AL14MATH 1B4
MATH 1A4PHYSICS 7A4
Reading & Composition Course from List A4ENGIN 7 or COMPSCI 61A4
Humanities/Social Sciences Course3-4First Lower Division Technical Elective23-4
 15-16 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 Course from List B4Humanities/Social Sciences Course3-4
Free Elective1Free Elective1
 16-17 15-17
Junior
FallUnitsSpringUnits
MATH 1044MATH 105 or 1854
MATH 1104MATH 128A4
STAT 1344Upper Division Technical Elective3,43-4
Humanities/Social Science Course3-4Humanities/Social Science Course3-4
Free Elective1Free Elective1
 16-17 15-17
Senior
FallUnitsSpringUnits
Upper Division Technical Electives3,411-12Upper Division Technical Electives3,412
Free Electives3-4Free Electives3-4
 14-16 15-16
Total Units: 121-132
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 7ENGIN 25, ENGIN 26, ENGIN 27 (two of ENGIN 25, ENGIN 26ENGIN 27 must be completed to count as one course), 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. NOTE: IND ENG 172 is an alternate course to STAT 134. Students may not receive credit for both STAT 134 and IND ENG 172. IND ENG 172 cannot be used to fulfill engineering unit requirements; it can only be used as a substitution for STAT 134. Engineering courses cannot include: any course taken on a P/NP basis; BIO ENG 100, COMPSCI 195, COMPSCI H195, DES INV courses (except DES INV 190E), ENGIN 125, ENGIN 157AC, ENGIN 180IND ENG 172, IND ENG 185, IND ENG 186, IND ENG 190 series, IND ENG 191, IND ENG 192, IND ENG 195, MEC ENG 191AC, MEC ENG 190K, MEC ENG 191K.

4

Three additional upper division technical electives as follows: one in mathematics, one in statistics, and one from either math or statistics from among: MATH 105, MATH 113, MATH 118, MATH 123, MATH 125A, MATH 126, MATH 130, MATH 135, MATH 140, MATH 142, MATH 170, MATH 185, MATH 189, ENGIN 117 (counts as a math elective); STAT 135, STAT 150, STAT 151ASTAT 152, STAT 153, STAT 154, STAT 157, STAT 158.

Courses

Engineering Mathematics and Statistics

Faculty and Instructors

+ Indicates this faculty member is the recipient of the Distinguished Teaching Award.

Faculty

Ilan Adler, Professor. Financial engineering, optimization theory, combinatorial probability models.
Research Profile

Ana Claudia Arias, Associate Professor. Physical Electronics (PHY); Flexible and Printed Electronics; Energy (ENE).

David Attwood, Professor-in-Residence. Short wavelength electromagnetics; Soft X-ray microscopy; Coherence; EUV lithography.

James Casey, Professor. Continuum mechanics, finite elasticity, continuum thermodynamics, plasticity, theories of elastic-plastic materials, history of mechanics, dynamics.
Research Profile

Alexandra von Meier, Adjunct Professor. Energy, Electric Grids, Power Distribution .
Research Profile

Scott Moura, Assistant Professor. Optimal control, PDE control, estimation, adaptive control, dynamic system modeling, energy management, battery management systems, vehicle-to-grid, smart grid.
Research Profile

Kara L. Nelson, Professor. Water and wastewater treatment, water reuse, detection and inactivation of pathogens in water and sludge, appropriate technologies.
Research Profile

Junqiao Wu, Associate Professor. Semiconductors, nanotechnology, energy materials.
Research Profile

Alex Zettl, Professor. Physics, condensed matter physics, fullerenes, condensed matter experiments, characterize novel materials with unusual electronic and magnetic ground states, low-dimensional and nanoscale structures, superconductors, giant magnetoresistance materials, nanotubes, graphene, boron nitride nanostructures, neural probes, NEMS.
Research Profile

+ Tarek Zohdi, Professor. Finite element methods, computational methods for advanced manufacturing, micro-structural/macro-property inverse problems involving optimization and design of new materials, modeling and simulation of high-strength fabric, modeling and simulation of particulate/granular flows, modeling and simulation of multiphase/composite electromagnetic media, modeling and simulation of the dynamics of swarms.
Research Profile

Contact Information

Engineering Science Program

Visit Program Website

Faculty Adviser

Ilan Adler, PhD

4183 Etcheverry Hall

adler@ieor.berkeley.edu

Faculty Adviser

James Casey, PhD

6125 Etcheverry Hall

jcasey@me.berkeley.edu

Engineering Student Services Adviser

Olivia Chan

Phone: 510-642-7594

http://engineering.berkeley.edu/ESS

oychan@berkeley.edu

Undergraduate Staff Adviser

Felicia Bautista

750 Davis Hall

http://engineeringscience.berkeley.edu/

fbautista3@berkeley.edu

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