# Course Descriptions for the BS in Mathematics

## 16 credits of required courses:

MATH 281: Calculus 1 (4 credits)

*Prerequisite: MATH 162*

MATH 282: Calculus 2 (4 credits)

*Prerequisite: MATH 281*

MATH 283: Calculus 3 (4 credits)

*Prerequisite: MATH 286*

MATH 286: Linear Algebra 1 (4 credits)

## Students in the Mathematics Track must complete:

### 20 credits of required courses:

MATH 272: Discrete Mathematics (4 credits)

*(Same as CS 272) Prerequisite: MATH 162*

MATH 351: Probability (4 credits)

*Prerequisite: MATH 282, MATH 283 recommended but not required.*

MATH 423: Real Analysis 1 (4 credits)

*Prerequisite: MATH 283*

MATH 431: Abstract Algebra 1 (4 credits)

*Prerequisite: MATH 286*

MATH 490: Senior Project (4-8 credits)

Students write a substantial paper unifying the knowledge gained from the courses taken during their major and relating this knowledge to deep principles from Maharishi Vedic Science. For students in the Mathematics Track of the Mathematics Major, this paper is a report of readings or research conducted by students on a topic or problem suggested by the two course sequence Math 423–424 Real Analysis or Math 431–432 Abstract Algebra, taken by students in their final year. Students in the Mathematics and Computer Science Track of the Mathematics Major replace this course with CS 495 Software Development (or CS 425 Software Engineering) and CS 496 Senior Project, in which they will write a program for a particular application. Students in the Mathematics and Physics Track of the Mathematics Major replace this course with the course PHYS 490 Senior Project, in which they report on readings or research they conduct on a topic or problem suggested by the course PHYS 360 Introduction to Quantum Mechanics. In all these cases, students will prepare a written paper describing their findings and relating them to principles of the Science of Consciousness. They will also prepare an oral presentation, suitable for a lay audience, based on the paper, for submission for presentation at the annual Knowledge Celebration in June of the year of completion of the major. *Prerequisite: consent of the Department of Mathematics faculty*.

Plus 12 credits of courses at the level of *Math 267* or above, including at least one of *Math 424: Analysis 2* and *Math 432: Algebra 2*.

In their final year, students in the Mathematics Track are required to take the Educational Testing Service’s Major Fields Test in Mathematics and submit their results to the Department of Mathematics. This is usually done during the course *MATH 490*.

## Students in the Mathematics and Computer Science Track must complete:

### 28 credits of required courses:

MATH 272: Discrete Mathematics (4 credits)

*(Same as CS 272) Prerequisite: MATH 162*

MATH 351: Probability (4 credits)

*Prerequisite: MATH 282, MATH 283 recommended but not required.*

CS 203: Object-Oriented Programming (4 credits)

*Prerequisite: CS 201*

CS 401: Modern Programming Practices (4 credits)

*Prerequisite: CS 221 or equivalent*

CS 495: Software Development or CS 425 Software Engineering (4 credits)

*Prerequisites: CS 221 and at least one CS 400 level elective*

CS 496: Senior Project (4-8 credits)

In this course students create an original software project from the ground up from the initial analysis and design phases through implementation and testing. Students are expected to submit several project proposals before the start of the course, and submit a written project postmortem at the end of the course. With Faculty approval this course can be extended to two months to facilitate a larger project. *Prerequisite: CS 495 or CS 425*

Plus 4 credits of computer science coursework at the level of CS 300 or above and an additional 4 credits of 400 level computer science coursework.

In their final year, students in the Mathematics and Computer Science Track are required to take an assessment test to be chosen by the Department of Mathematics and to submit the results to the Department of Mathematics. Students who take the general Graduate Record Examination (GRE) for entry into graduate school or for other purposes may satisfy this requirement by simply submitting their GRE results to the Department of Mathematics. Students not taking the GRE will need to consult the Department of Mathematics to determine an appropriate test.

Students completing the Mathematics and Computer Science Track are eligible to continue on to MUM’s MS in Computer Science and may be able to complete it in just over a year. Consult the Department of Computer Science for full information.

## Students in the Mathematics and Physics Track must complete:

### 36 credits of required courses:

MATH 304: Calculus 4 (4 credits)

*Prerequisite: MATH 283*

MATH 308: Ordinary Differential Equations (4 credits)

*Prerequisite: MATH 283*

PHYS 210: Introduction to Classical Mechanics (4 credits)

*Prerequisite: MATH 281*

PHYS 220: Introduction to Fluids, Harmonics, and Waves (4 credits)

*Prerequisites: MATH 282 and PHYS 210*

PHYS 230: Introduction to Electromagnetism (4 credits)

*Prerequisites: MATH 282 and PHYS 210*

PHYS 250: Introduction to Modern Physics (4 credits)

*Prerequisites: MATH 282 and PHYS 210*

PHYS 313: Classical Mechanics 1 (4 credits)

PHYS 360: Quantum Mechanics 1 (4 credits)

*Prerequisites: MATH 282, MATH 286, and PHYS 250; MATH 283 recommended*

PHYS 490: Senior Project (4 credits)

Students who are completing the Mathematics and Physics Track of the Mathematics Major write a substantial paper unifying the knowledge gained from the courses taken during their major and relating this knowledge to deep principles from Maharishi Vedic Science. They will report on readings or research they conduct on a topic or problem suggested by the course PHYS 360 Introduction to Quantum Mechanics. In addition, they will also prepare an oral presentation, suitable for a lay audience, based on the paper, for submission for presentation at the annual Knowledge Celebration in June of the year of completion of the major. *May be repeated for credit. Prerequisite: consent of the Department of Physics and Department of Mathematics faculty*

In their final year, students in the Mathematics and Physics Track are required to take an assessment test to be chosen by the Department of Mathematics and to submit the results to the Department of Mathematics. Students who take the general Graduate Record Examination (GRE) for entry into graduate school or for other purposes may satisfy this requirement by simply submitting their GRE results to the Department of Mathematics. Students not taking the GRE will need to consult the Department of Mathematics to determine an appropriate test.

PHYS 230: Introduction to Electromagnetism (4 credits)

*Prerequisites: MATH 282 and PHYS 210*