# Accelerated Dual Degrees in Mathematics, B.S./M.S.

## Accelerated Dual Degrees in Bachelor of Science and Master of Science in Mathematics

**Credits:** 152

**CIP Code:** 270101

### Program Description

The Accelerated Dual Degrees in Bachelor of Science and Master of Science in Mathematics program prepare students to have high levels of proficiency in mathematics content to help them advance to a Ph.D. program in mathematics or mathematics-related fields or to qualify for careers in industry, government, and education.

### Admissions Requirements

Applicants must meet the General Admissions Requirements of Clark Atlanta University as published in the Undergraduate and Graduate Catalogs. At the beginning of the second semester of the third year of study, students in the Bachelor of Science degree in Mathematics may apply for admission to the BS/MS program. The student must have a minimum grade point average of 3.0 and must also satisfy the General Graduate Program Admission requirements. If the student is accepted for the BS/MS program, then he/she may begin graduate course work during his/her fourth year of study while completing the undergraduate BS degree requirements. During the fifth year of study, students engage exclusively in graduate study. Students have the choice of two concentration tracks: Pure Mathematics concentration or Applied Mathematics concentration. Summer research activities may be available or required depending on the student’s choice of research area and the availability of the faculty willing to work on the topic.

## Student Learning Outcomes

Upon completion of the Accelerated Dual Degrees in Bachelor of Science and Master of Science in Mathematics Program a student should be able to:

- Demonstrate a high level of competency in mathematical reasoning and mathematical modeling of complex phenomena in many fields of science.
- Demonstrate a high level of proficiency in conducting mathematical research and presenting findings, in both written and oral forms, to scientific and general audiences.
- Demonstrate a high level of competency in constructing proofs of major theoretical results in the field of mathematics.
- Demonstrate a high level of proficiency in computing skills and mathematical approximations using standard mathematical software and other advanced technologies.

## Degree Requirements

Students in the *Accelerated Dual Degrees in Bachelor of Science and Master of Science in Mathematics* Program should successfully complete all the requirements of the Bachelor of Science degree with a total of 122 credit hours and the Master of Science in Mathematics requirement of 30 credit hours of graduate work. Students have the option of defending an acceptable thesis or completing elective graduate coursework. Elective courses for the undergraduate degree include Free Electives (6 credit hours) and Minor courses or Electives (18 credit hours).

Students must maintain a minimum cumulative grade point average of 3.0 to continue in the program. At any point during matriculation in this program, students may opt to pursue only the traditional Bachelor of Science Degree in Mathematics.

For *Accelerated Dual Degrees in Bachelor of Science and Master of Science in Mathematics*, students must satisfy the Bachelor of Science of Mathematics requirements plus Graduate requirements:

### Undergraduate Requirements

Code | Title | Hours |
---|---|---|

Required Mathematics Courses | ||

CMAT 111 | Calculus I | 4 |

CMAT 112 | Calculus II | 4 |

CMAT 211 | Calculus III | 4 |

CMAT 212 | Differential Equations | 3 |

CMAT 214 | Linear Algebra | 3 |

CMAT 311 | Mathematical Logic | 3 |

CMAT 321 | Mathematical Prob & Stat I | 3 |

CMAT 322 | Mathematical Prob & Stat II | 3 |

CMAT 325 | Modern Algebra | 3 |

CMAT 421 | Advanced Calculus I | 3 |

CMAT 422 | Advanced Calculus II | 3 |

CMAT 423 | Intro to Complex Variables I | 3 |

CMAT 427 | Intro to Toplogy I | 3 |

CMAT 475 | Seminar I | 3 |

CMAT 476 | Seminar II | 3 |

Mathematics Electives | ||

Select 12 credits of the following: | 12 | |

Intro to Operations Research | ||

Numerical Analysis | ||

Discrete Mathematical Stucture | ||

Pre-Calculus II | ||

CMAT XXX | Elective (200 level or higher) | |

CMAT XXX | Elective (300 or 400 level) | |

Total Hours | 60 |

### General Education Courses

Code | Title | Hours |
---|---|---|

Area A: Humanities/Fine Arts | ||

Select two of the following: | 6 | |

United States,Africa & World | ||

United States, Africa & World | ||

History of the United States | ||

History of the United States | ||

Art Appreciation | ||

CHUM 230 | ||

World Music | ||

Music Appreciation | ||

Theater Appreciation | ||

CPHIL 105 | ||

Introduction to Philosophy | ||

Philosophy of Religion | ||

The Biblical Heritage | ||

Afr Amer Religious Experiences | ||

Afr Amer Religious Experience | ||

Comparative Religion | ||

Area B: Social/Behavioral Sciences | ||

Select two of the following: | 6 | |

American Govern & Politics | ||

General Psychology | ||

Human Growth & Development | ||

Intro. to Sociology | ||

Intro. to Anthropology | ||

Contemporary Social Problems | ||

Area C: Natural Science/Mathematics/Statistics | ||

Select two of the following: | 8 | |

General Biology I & Lab | ||

General Biology II & Lab | ||

Gen Chem 1 & Recitation | ||

Gen Chem II Lec & Recitation | ||

Physics I: Mechanics | ||

Physics II: Elec & Magnetism | ||

Physics III:Optics/Modern Phys | ||

Area D: Communication | ||

Select nine credits of the following: | 9 | |

College Composition I and College Composition II | ||

Intro to World Literature I | ||

Intro to World Literature II | ||

CFLX 101 | Elementary Foreign Language I | |

CFLX 102 | Elementary Foreign Language II | |

CFLX 201 | Intermediate I | |

CFLX 202 | Intermediate II | |

Area E: Financial/Technological | ||

CCIS 105 & 105L | Programming Principles I and Programming Principles I Lab | 4 |

Select one of the following: | 3 | |

Info. Technology & Comp. App. | ||

Introduction to Computers | ||

Intro. to Comp. Sim/Analysis | ||

Introduction to Computer Sys | ||

Introduction to Economics | ||

Principles of Macroeconomics | ||

Sci, Tech, & Human Values | ||

Educational Technology | ||

Total Hours | 36 |

### University Required Courses

Code | Title | Hours |
---|---|---|

CGED 100 | First Year Seminar | 1 |

CGED 101 | 1st-Year Seminar | 1 |

Total Hours | 2 |

**Free Electives: 6 credits**

Any number of courses in Area A, Area B, Area C, Area D, or Mathematics courses which the student has not taken as a required Mathematics elective or general course can be a free elective. Courses that are not listed in areas of A, B,C,D or E may also qualify as a free elective course, but for such courses, the student is required to get the approval of the departmental advisor.

**Minor Electives: 18 Credits**

Electives should be chosen in consultation with the advisor depending on the choice of minor.

### Required Graduate Courses

Code | Title | Hours |
---|---|---|

Pure Mathematics Concentration | ||

CMAT 521 | Real Analysis I | 3 |

CMAT 522 | Real Analysis II | 3 |

CMAT 523 | Complex Variables I | 3 |

CMAT 524 | Complex Variables II | 3 |

CMAT 525 | Algebra I | 3 |

CMAT 526 | Algebra II | 3 |

CMAT 527 | Topology I | 3 |

CMAT XXX | Graduate Mathematics Elective | 3 |

CMAT 675 | Thesis Seminar I (or CMAT XXX, Graduate Elective ) | 3 |

CMAT 676 | Thesis Seminar II (or CMAT XXX, Graduate Elective) | 3 |

Total Hours | 30 |

Code | Title | Hours |
---|---|---|

Applied Mathematics Concentration | ||

CMAT 521 | Real Analysis I | 3 |

CMAT 522 | Real Analysis II | 3 |

CMAT 523 | Complex Variables I | 3 |

CMAT 524 | Complex Variables II | 3 |

CMAT 527 | Topology I | 3 |

CMAT 541 | Principles of Applied Math I | 3 |

CMAT 542 | Principles of Applied Math II | 3 |

CMAT XXX | Graduate Mathematics Elective | 3 |

CMAT 675 | Thesis Seminar I (or CMAT XXX, Graduate Elective ) | 3 |

CMAT 676 | Thesis Seminar II (or CMAT XXX, Graduate Elective) | 3 |

Total Hours | 30 |

## Plan of Study for Accelerated Dual Degree in B.S. and M.S. in Mathematics

### Pure Mathematics Concentration

First Year | ||
---|---|---|

First Semester | Hours | |

CENG 105 | College Composition I (Area D) | 3 |

CGED 100 | First Year Seminar | 1 |

Area A: Humanities/Fine Art (see list) | 3 | |

CMAT 106 | Pre-Calculus II | 3 |

Area B: Social/Behavioral Sciences (see list) | 3 | |

Area E: Financial/technological (see list) | 3 | |

Hours | 16 | |

Second Semester | ||

CENG 106 | College Composition II (Area D) | 3 |

CGED 101 | 1st-Year Seminar | 1 |

Area A: Humanities/Fine Arts | 3 | |

CMAT 111 | Calculus I | 4 |

Free Elective | 3 | |

CXXX Minor/ Free Elective | 3 | |

Hours | 17 | |

Second Year | ||

First Semester | ||

CMAT 112 | Calculus II | 4 |

CMAT 214 | Linear Algebra | 3 |

Area C: Natural Science | 4 | |

CMAT XXX | Math Elective (200 or Higher ) | 3 |

CXXX Minor/ Free elective | 3 | |

Hours | 17 | |

Second Semester | ||

CMAT 212 | Differential Equations | 3 |

CMAT 211 | Calculus III | 4 |

CCIS 105 & 105L |
Programming Principles I and Programming Principles I Lab (Area E) |
4 |

CMAT 311 | Mathematical Logic | 3 |

CXXX Minor/ Free Elective | 3 | |

Hours | 17 | |

Third Year | ||

First Semester | ||

Area D: Communication | 3 | |

CXXX Mino/ Free Elective | 3 | |

CMAT 321 | Mathematical Prob & Stat I | 3 |

CMAT 325 | Modern Algebra | 3 |

CMAT 421 | Advanced Calculus I | 3 |

Hours | 15 | |

Second Semester | ||

CMAT 322 | Mathematical Prob & Stat II | 3 |

CMAT 422 | Advanced Calculus II | 3 |

Area C: Natural Science | 4 | |

Area B: Social/Behavioral Sciences (see list) | 3 | |

CXXX Minor/ Free Elective | 3 | |

Hours | 16 | |

Fourth Year | ||

First Semester | ||

CXXX Minor/ Free Elective | 3 | |

CMAT 423 | Intro to Complex Variables I | 3 |

CMAT 427 | Intro to Toplogy I | 3 |

CMAT 475 | Seminar I | 3 |

Hours | 12 | |

Second Semester | ||

Free Elective | 3 | |

CMAT XXX | Math elective (300 or 400 level) | 3 |

Select one of the following: | 3 | |

Intro to Operations Research | ||

Numerical Analysis | ||

Discrete Mathematical Stucture | ||

CMAT 476 | Seminar II | 3 |

Hours | 12 | |

Fifth Year | ||

First Semester | ||

Fifth Year-Pure Mathematics Concentration | ||

CMAT 521 | Real Analysis I | 3 |

CMAT 523 | Complex Variables I | 3 |

CMAT 525 | Algebra I | 3 |

CMAT 527 | Topology I | 3 |

CMAT 675 | Thesis Seminar I (or Graduate Mathematics Elective (500 or 600 level)) | 3 |

Hours | 15 | |

Second Semester | ||

CMAT 522 | Real Analysis II | 3 |

CMAT 524 | Complex Variables II | 3 |

CMAT 542 | Principles of Applied Math II | 3 |

Mathematics Elective (500 or 600 level) | 3 | |

CMAT 676 | Thesis Seminar II (or Graduate Mathematics Elective (500 or 600 level)) | 3 |

Hours | 15 | |

Total Hours | 152 |

### Applied Mathematics Concentration

First Year | ||
---|---|---|

First Semester | Hours | |

CENG 105 | College Composition I (Area D) | 3 |

CGED 100 | First Year Seminar | 1 |

Area A: Humanities/Fine Art (see list) | 3 | |

CMAT 106 | Pre-Calculus II | 3 |

Area B: Social/Behavioral Sciences (see list) | 3 | |

Area E: Financial/technological (see list) | 3 | |

Hours | 16 | |

Second Semester | ||

CENG 106 | College Composition II (Area D) | 3 |

CGED 101 | 1st-Year Seminar | 1 |

Area A: Humanities/Fine Arts | 3 | |

CMAT 111 | Calculus I | 4 |

Free Elective | 3 | |

CXXX Minor/ Free Elective | 3 | |

Hours | 17 | |

Second Year | ||

First Semester | ||

CMAT 112 | Calculus II | 4 |

CMAT 214 | Linear Algebra | 3 |

Area C: Natural Science | 4 | |

CMAT XXX | Math Elective (200 or Higher ) | 3 |

CXXX Minor/ Free elective | 3 | |

Hours | 17 | |

Second Semester | ||

CMAT 212 | Differential Equations | 3 |

CMAT 211 | Calculus III | 4 |

CCIS 105 & 105L |
Programming Principles I and Programming Principles I Lab (Area E) |
4 |

CMAT 311 | Mathematical Logic | 3 |

CXXX | Minor Elective | 3 |

Hours | 17 | |

Third Year | ||

First Semester | ||

Area D: Communication | 3 | |

CXXX Minor/ Free Elective | 3 | |

CMAT 321 | Mathematical Prob & Stat I | 3 |

CMAT 325 | Modern Algebra | 3 |

CMAT 421 | Advanced Calculus I | 3 |

Hours | 15 | |

Second Semester | ||

CMAT 322 | Mathematical Prob & Stat II | 3 |

CMAT 422 | Advanced Calculus II | 3 |

Area C: Natural Science | 4 | |

Area B: Social/Behavioral Sciences (see list) | 3 | |

CXXX Minor/ Free Elective | 3 | |

Hours | 16 | |

Fourth Year | ||

First Semester | ||

CXXX Minor/ Free Elective | 3 | |

CMAT 423 | Intro to Complex Variables I | 3 |

CMAT 427 | Intro to Toplogy I | 3 |

CMAT 475 | Seminar I | 3 |

Hours | 12 | |

Second Semester | ||

Free Elective | 3 | |

CMAT XXX | Math elective (300 or 400 level) | 3 |

Select one of the following: | 3 | |

Intro to Operations Research | ||

Numerical Analysis | ||

Discrete Mathematical Stucture | ||

CMAT 476 | Seminar II | 3 |

Hours | 12 | |

Fifth Year | ||

First Semester | ||

CMAT 521 | Real Analysis I | 3 |

CMAT 523 | Complex Variables I | 3 |

CMAT 541 | Principles of Applied Math I | 3 |

CMAT 527 | Topology I | 3 |

CMAT 675 | Thesis Seminar I (or Graduate Mathematics Elective (500 or 600 level)) | 3 |

Hours | 15 | |

Second Semester | ||

CMAT 522 | Real Analysis II | 3 |

CMAT 524 | Complex Variables II | 3 |

CMAT 542 | Principles of Applied Math II | 3 |

Mathematics Elective (500 or 600 level) | 3 | |

CMAT 676 | Thesis Seminar II (or Graduate Elective (500 or 600 level)) | 3 |

Hours | 15 | |

Total Hours | 152 |