BA in Mathematics

Units required for BA: 48-54
Total units required for BA: 120

Program Description

The mathematics bachelor’s degree provides students with a firm foundation in mathematics. Mathematics is a discipline that studies patterns, numbers, shapes, structures, and their relationships. It is fundamental for making sense of the world around us, providing a precise and systematic framework for logical reasoning, modeling, and problem-solving. Mathematics plays a crucial role in advancing human knowledge, serving as the language of science and the foundation of many other disciplines such as statistics, computer science, and engineering.

All mathematics majors complete the same core coursework, and then select an area of emphasis. The applied emphasis and the statistics emphasis provide a strong background for students interested in pursuing quantitative careers in industry, government, or academia. The pure emphasis prepares students to pursue higher-level degrees in mathematics. The teacher preparation emphasis prepares students to teach mathematics at the middle or high school level.

Admission Requirements

All students planning to take MATH 30, Calculus I, must first satisfy one of the following criteria.

  • Receive a score of 3 on the Calculus AB AP Exam.
  • Receive a C- or better in Math 29 (or equivalent).
  • Receive a score of 76+ on an ALEKS PPL proctored exam.

For more information about ALEKS PPL and placement into mathematics and statistics courses visit the department website (https://www.csus.edu/math).

Minimum Grade Requirements

  • Prerequisites must be completed with grade ''C-'' or better.
  • Grade ''C-'' or better required in all courses applied to Mathematics major or to the Mathematics or Statistics minors.

Recommended Coursework

Program Requirements

Lower Division Core Courses (21 Units)
MATH 30Calculus I 14
MATH 31Calculus II 14
MATH 32Calculus III4
MATH 35Introduction to Linear Algebra3
MATH 45Differential Equations for Science and Engineering3
Select one of the following:3
Mathematical Programming
Introduction to Programming Logic
Programming Concepts and Methodology I
Visual Programming in BASIC
Introduction to C Programming
Upper Division Core Courses (15 Units)
MATH 108Introduction to Formal Mathematics3
MATH 110AModern Algebra3
MATH 110BModern Algebra3
MATH 130AFunctions of a Real Variable3
MATH 130BFunctions of a Real Variable3
Additional Requirements for Specialized Study (12-18 Units)
Select an emphasis from the following four options:12 - 18
Emphasis in Pure Mathematics
Emphasis in Applied Mathematics
Emphasis in Statistics
Teacher Preparation Program
Total Units48-54
1

Course also satisfies General Education (GE)/Graduation Requirement.

Emphasis in Pure Mathematics

MATH 117Linear Algebra3
MATH 134Functions of a Complex Variable and Applications3
Select two of the following:6 - 11
Combinatorics
Number Theory
Vector Analysis
Advanced Mathematics for Science and Engineering I
Advanced Mathematics for Science and Engineering II
College Geometry
Introduction to Numerical Analysis
Mathematical Logic
Set Theory
Linear Programming
History Of Mathematics
Introduction to Probability Theory 1
Introduction to Mathematical Statistics 1
Total Units12-17
1

Has an extra prerequisite that is not in the lower or upper division core.

Emphasis in Applied Mathematics

MATH 105AAdvanced Mathematics for Science and Engineering I4
MATH 105BAdvanced Mathematics for Science and Engineering II4
Select two of the following:6 - 10
Combinatorics
Number Theory
Vector Analysis
Linear Algebra
Functions of a Complex Variable and Applications
Introduction to Numerical Analysis
Linear Programming
Introduction to Probability Theory 1
Introduction to Mathematical Statistics 1
Statistical Computing
Analyzing and Processing Big Data
Introduction to Techniques of Operations Research 1
Total Units14-18
1

Has an extra prerequisite that is not in the lower or upper division core.

Emphasis in Statistics

STAT 1Introduction to Statistics3 - 4
or STAT 50 Introduction to Probability and Statistics
STAT 115AIntroduction to Probability Theory3
STAT 115BIntroduction to Mathematical Statistics3
Select two of the following:6
Combinatorics
Linear Algebra
Functions of a Complex Variable and Applications
Introduction to Numerical Analysis
Linear Programming
Statistical Computing
Analyzing and Processing Big Data
Introduction to Techniques of Operations Research
Total Units15-16

Emphasis in Teacher Preparation

STAT 1Introduction to Statistics3
MATH 102Number Theory3
MATH 121College Geometry3
MATH 190History Of Mathematics3
MATH 193Capstone Course for the Teaching Credential Candidate3
Total Units15

General Education Requirements1

Area A: Basic Subjects (9 Units)
A1 - Oral Communication3
A2 - Written Communication3
A3 - Critical Thinking3
Area B: Physical Universe and Its Life Forms (10 Units)
B1 - Physical Science3
B2 - Life Forms3
B3 - Lab (Note: Lab experience to be taken with one of the following: B1, B2 or B5)1
B4 - Math Concepts 20
B5 - Additional Course (Any B to reach 12 units) - Take upper-division course to complete Area & upper division requirements.3
Area C: Arts and Humanities (12 Units)
C1 - Arts3
C2 - Humanities3
C1/C2 - Area C Course3
C1/C2 - Area C Course - Take upper-division course to complete Area & upper division requirements.3
Area D: The Individual and Society (9 Units)
Area D Course3
Area D Course3
Area D Course - Take upper-division course to complete Area & upper division requirements.3
Area E: Understanding Personal Development (3 Units)
Area E Course3
Area F: Ethnic Studies (3 Units)
Area F Course3
Total Units46
1

To help you complete your degree in a timely manner and not take more units than absolutely necessary, there are ways to use single courses to meet more than one requirement (overlap). For further information, please visit the General Education page.

Note: There is no way to list all possible overlaps so please consult with a professional advisor. The Academic Advising Center can be visited online, by phone (916) 278-1000, or email.

2

Required in Major; also satisfies GE.

Graduation Requirements1

Graduation Requirements (required by CSU) (9 Units)
American Institutions: U.S. History3
American Institutions: U.S. Constitution & CA Government3
Writing Intensive (WI)3
Graduation Requirements (required by Sacramento State) (12 Units)
English Composition II3
Race and Ethnicity in American Society (RE)3
Foreign Language Proficiency Requirement 26
1

To help you complete your degree in a timely manner and not take more units than absolutely necessary, there are ways to use single courses to meet more than one requirement (overlap). For further information, please visit the General Education page.

Note: There is no way to list all possible overlaps so please consult with a professional advisor. The Academic Advising Center can be visited online, by phone (916) 278-1000, or email.

2

If not satisfied before entering Sacramento State, it may be satisfied in General Education Area C2 (Humanities). "C- or better required." The alternative methods for satisfying the Foreign Language Proficiency Requirement are described here: https://www.csus.edu/college/arts-letters/world-languages-literatures/foreign-language-requirement.html  

The following roadmaps are sample planning resources. Please consult your academic advisor and Academic Catalog for graduation requirements as you develop your individualized academic plan.

Mathematics (Emphasis in Pure Mathematics), BA: 4-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 30 Calculus I 4
GE Area 1A - English Composition 2 3
GE Area 1C - Oral Communication 2 3
GE Area 3A - Arts 2 3
Elective of Choice 3
 Units16
Second Semester
MATH 31 Calculus II 4
MATH 64
Mathematical Programming 3
or Introduction to Programming Logic
or Programming Concepts and Methodology I
or Visual Programming in BASIC
or Introduction to C Programming
3
GE Area 1B - Critical Thinking 2 3
GE Area 5B - Biological Science 2 3
GE Area 6 - Ethnic Studies 2 3
 Units16
Year 2
First Semester
MATH 32 Calculus III 4
MATH 35 Introduction to Linear Algebra 3
GE Area 4 - Social & Behavioral Sciences 2 3
Foreign Language Semester 1 2 4
 Units14
Second Semester
ENGL 20 College Composition II 3
MATH 45 Differential Equations for Science and Engineering 3
MATH 108 Introduction to Formal Mathematics 3
Foreign Language Semester 2 2 4
Elective of Choice 3
 Units16
Year 3
First Semester
MATH 110A Modern Algebra 3
Pure Mathematics Elective 3 3
Upper Division GE Area 4 - Social & Behavioral Sciences + Writing Intensive 2 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
Elective of Choice 3
 Units15
Second Semester
MATH 110B Modern Algebra 3
Pure Mathematics Elective 3 3
GE Area 5A - Physical Science 2 3
GE Area 5C - Laboratory 2 1
GR American Institutions (GOVT) 2 3
Elective of Choice 3
 Units16
Year 4
First Semester
MATH 130A Functions of a Real Variable 3
MATH 117
Linear Algebra 3
or Functions of a Complex Variable and Applications
3
Upper Division GE Area 3 - Arts or Humanities 2 3
GR American Institutions (US History) 2 3
Elective of Choice 3
 Units15
Second Semester
MATH 130B Functions of a Real Variable 3
MATH 134
Functions of a Complex Variable and Applications 3
or Linear Algebra
3
GE Area 3B - Humanities 2 3
Upper Division Elective 3
 Units12
 Total Units120

Mathematics (Emphasis in Pure Mathematics), BA: 2-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 108 Introduction to Formal Mathematics 3
MATH 110A Modern Algebra 3
Pure Mathematics Elective 3 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
Elective of Choice 3
 Units15
Second Semester
MATH 110B Modern Algebra 3
Pure Mathematics Elective 3 3
Upper Division GE Area 3 - Arts or Humanities 2 3
GR American Institutions (GOVT) 2 3
Upper Division Elective 3
 Units15
Year 2
First Semester
MATH 117
Linear Algebra 3
or Functions of a Complex Variable and Applications
3
MATH 130A Functions of a Real Variable 3
GR American Institutions (US History) 2 3
Foreign Language Semester 1 2 4
Elective of Choice 3
 Units16
Second Semester
MATH 130B Functions of a Real Variable 3
MATH 134
Functions of a Complex Variable and Applications 3
or Linear Algebra
3
Upper Division GE Area 4 - Social & Behavioral Sciences + Writing Intensive 2 3
Foreign Language Semester 2 2 4
Elective of Choice 3
 Units16
 Total Units62

 Mathematics (Emphasis in Applied Mathematics), BA: 4-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 30 Calculus I 4
GE Area 1A - English Composition 2 3
GE Area 1C - Oral Communication 2 3
GE Area 3A - Arts 2 3
Elective of Choice 3
 Units16
Second Semester
MATH 31 Calculus II 4
MATH 64
Mathematical Programming 3
or Introduction to Programming Logic
or Programming Concepts and Methodology I
or Visual Programming in BASIC
or Introduction to C Programming
3
GE Area 1B - Critical Thinking 2 3
GE Area 5B - Biological Science 2 3
GE Area 6 - Ethnic Studies 2 3
 Units16
Year 2
First Semester
MATH 32 Calculus III 4
MATH 35 Introduction to Linear Algebra 3
GE Area 4 - Social & Behavioral Sciences 2 3
Foreign Language Semester 1 2 4
 Units14
Second Semester
ENGL 20 College Composition II 3
MATH 45 Differential Equations for Science and Engineering 3
MATH 108 Introduction to Formal Mathematics 3
Foreign Language Semester 2 2 4
Elective of Choice 3
 Units16
Year 3
First Semester
MATH 105A Advanced Mathematics for Science and Engineering I 4
MATH 110A Modern Algebra 3
Upper Division GE Area 4 - Social & Behavioral Sciences + Writing Intensive 2 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
Elective of Choice 3
 Units16
Second Semester
MATH 105B Advanced Mathematics for Science and Engineering II 4
MATH 110B Modern Algebra 3
Upper Division GE Area 3 - Arts or Humanities 2 3
GE Area 5A - Physical Science 2 3
GE Area 5C - Laboratory 2 1
 Units14
Year 4
First Semester
MATH 130A Functions of a Real Variable 3
Applied Mathematics Elective 3 3
GE Area 3B - Humanities 2 3
GR American Institutions (GOVT) 2 3
Elective of Choice 3
 Units15
Second Semester
MATH 130B Functions of a Real Variable 3
Applied Mathematics Elective 3 3
GR American Institutions (US History) 2 3
Upper Division Elective 3
Elective of Choice 3
 Units15
 Total Units122

Mathematics (Emphasis in Applied Mathematics), BA: 2-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 108 Introduction to Formal Mathematics 3
MATH 105A Advanced Mathematics for Science and Engineering I 4
MATH 110A Modern Algebra 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
Elective of Choice 3
 Units16
Second Semester
MATH 105B Advanced Mathematics for Science and Engineering II 4
MATH 110B Modern Algebra 3
Upper Division GE Area 3 - Arts or Humanities 2 3
GR American Institutions (GOVT) 2 3
Elective of Choice 3
 Units16
Year 2
First Semester
MATH 130A Functions of a Real Variable 3
Applied Mathematics Elective 3 3
Upper Division GE Area 4 - Social & Behavioral Sciences + Writing Intensive 2 3
Foreign Language Semester 1 2 4
Upper Division Elective 3
 Units16
Second Semester
MATH 130B Functions of a Real Variable 3
Applied Mathematics Elective 3 3
GR American Institutions (US History) 2 3
Foreign Language Semester 2 2 4
Elective of Choice 3
 Units16
 Total Units64

Mathematics (Emphasis in Statistics), BA: 4-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 30 Calculus I 4
GE Area 1A - English Composition 2 3
GE Area 1C - Oral Communication 2 3
GE Area 3A - Arts 2 3
Elective of Choice 3
 Units16
Second Semester
MATH 31 Calculus II 4
STAT 1
Introduction to Statistics 3
or Introduction to Probability and Statistics
3 - 4
GE Area 1B - Critical Thinking 2 3
GE Area 5B - Biological Science 2 3
GE Area 6 - Ethnic Studies 2 3
 Units16-17
Year 2
First Semester
MATH 32 Calculus III 4
MATH 35 Introduction to Linear Algebra 3
MATH 64
Mathematical Programming 3
or Introduction to Programming Logic
or Programming Concepts and Methodology I
or Visual Programming in BASIC
or Introduction to C Programming
3
Foreign Language Semester 1 2 4
 Units14
Second Semester
ENGL 20 College Composition II 3
MATH 45 Differential Equations for Science and Engineering 3
MATH 108 Introduction to Formal Mathematics 3
GE Area 3B - Humanities 2 3
Foreign Language Semester 2 2 4
 Units16
Year 3
First Semester
MATH 110A Modern Algebra 3
STAT 115A Introduction to Probability Theory 3
Upper Division GE Area 4 - Social & Behavioral Sciences + Writing Intensive 2 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
GE Area 4 - Social & Behavioral Sciences 2 3
 Units15
Second Semester
MATH 110B Modern Algebra 3
STAT 115B Introduction to Mathematical Statistics 3
GE Area 5A - Physical Science 2 3
GE Area 5C - Laboratory 2 1
GR American Institutions (GOVT) 2 3
Elective of Choice 3
 Units16
Year 4
First Semester
MATH 130A Functions of a Real Variable 3
Statistics Elective 3 3
GR American Institutions (US History) 2 3
Upper Division Elective 3
Elective of Choice 3
 Units15
Second Semester
MATH 130B Functions of a Real Variable 3
Statistics Elective 3 3
Upper Division GE Area 3 - Arts or Humanities 2 3
Upper Division Elective 3
Elective of Choice 3
 Units15
 Total Units123-124

Mathematics (Emphasis in Statistics), BA: 2-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 108 Introduction to Formal Mathematics 3
MATH 110A Modern Algebra 3
STAT 115A Introduction to Probability Theory 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
GR American Institutions (US History) 2 3
 Units15
Second Semester
MATH 110B Modern Algebra 3
STAT 115B Introduction to Mathematical Statistics 3
Upper Division GE Area 3 - Arts or Humanities + Writing Intensive 2 3
GR American Institutions (GOVT) 2 3
Elective of Choice 3
 Units15
Year 2
First Semester
MATH 130A Functions of a Real Variable 3
Statistics Elective 3 3
Upper Division GE Area 4 - Social & Behavioral Sciences 2 3
Foreign Language Semester 1 2 4
Elective of Choice 3
 Units16
Second Semester
MATH 130B Functions of a Real Variable 3
Statistics Elective 3 3
Foreign Language Semester 2 2 4
Upper Division Elective 3
Elective of Choice 3
 Units16
 Total Units62

 Mathematics (Emphasis in Teacher Preparation), BA: 4-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 30 Calculus I 4
GE Area 1A - English Composition 2 3
GE Area 1C - Oral Communication 2 3
GE Area 3A - Arts 2 3
Elective of Choice 3
 Units16
Second Semester
MATH 31 Calculus II 4
STAT 1 Introduction to Statistics 3
GE Area 1B - Critical Thinking 2 3
GE Area 5B - Biological Science 2 3
GE Area 6 - Ethnic Studies 2 3
 Units16
Year 2
First Semester
MATH 32 Calculus III 4
MATH 35 Introduction to Linear Algebra 3
MATH 64
Mathematical Programming 3
or Introduction to Programming Logic
or Programming Concepts and Methodology I
or Visual Programming in BASIC
or Introduction to C Programming
3
Foreign Language Semester 1 2 4
 Units14
Second Semester
ENGL 20 College Composition II 3
MATH 45 Differential Equations for Science and Engineering 3
MATH 108 Introduction to Formal Mathematics 3
GE Area 3B - Humanities 2 3
Foreign Language Semester 2 2 4
 Units16
Year 3
First Semester
MATH 102 Number Theory 3
MATH 110A Modern Algebra 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
GE Area 5A - Physical Science 2 3
GE Area 5C - Laboratory 2 1
Elective of Choice 3
 Units16
Second Semester
MATH 110B Modern Algebra 3
MATH 121 College Geometry 3
Upper Division GE Area 4 - Social & Behavioral Sciences 2 3
GE Area 4 - Social & Behavioral Sciences 2 3
GR American Institutions (GOVT) 2 3
 Units15
Year 4
First Semester
MATH 130A Functions of a Real Variable 3
MATH 190 History Of Mathematics 3
GR American Institutions (US History) 2 3
Upper Division Elective 3
Elective of Choice 3
 Units15
Second Semester
MATH 130B Functions of a Real Variable 3
MATH 193 Capstone Course for the Teaching Credential Candidate 3
Upper Division GE Area 3 - Arts or Humanities + Writing Intensive 2 3
Elective of Choice 3
Elective of Choice 3
 Units15
 Total Units123

 Mathematics (Emphasis in Teacher Preparation), BA: 2-Year Roadmap

Plan of Study Grid
Year 1
First SemesterUnits
MATH 102 Number Theory 3
MATH 108 Introduction to Formal Mathematics 3
MATH 110A Modern Algebra 3
Upper Division GE Area 5 or 2 - Science or Mathematical Concepts/Quantitative Reasoning 2 3
Elective of Choice 3
 Units15
Second Semester
MATH 110B Modern Algebra 3
MATH 121 College Geometry 3
Upper Division GE Area 3 - Arts or Humanities + Writing Intensive 2 3
GR American Institutions (US History) 2 3
Upper Division Elective 3
 Units15
Year 2
First Semester
MATH 130A Functions of a Real Variable 3
MATH 190 History Of Mathematics 3
Upper Division GE Area 4 - Social & Behavioral Sciences 2 3
Foreign Language Semester 1 2 4
Elective of Choice 3
 Units16
Second Semester
MATH 130B Functions of a Real Variable 3
MATH 193 Capstone Course for the Teaching Credential Candidate 3
GR American Institutions (US History) 2 3
Foreign Language Semester 2 2 4
Elective of Choice 3
 Units16
 Total Units62
1.

Any course not completed in the first semester should be taken in the second or a later semester.

2.

Please see General Education/Graduation Requirement course options.

3.

Please see an academic advisor for elective options.