### Degree Programs and Courses

Mathematics AS | Computer Science AS

### Course Descriptions

**Computer Science**

CSI 30 **3 Rec 3 Cr**

**Discrete Mathematics I**

*Prerequisites: MTH 28 or 28.5
Corequisite: ENG 110 (if required)
*

**Flexible Core E: Scientific World**

**CSI 31 2 Lect 2 Lab 3 Cr**

**Introduction to Computer Programming I**

*Prerequisites: CSI 30; and CUNY English Proficiency, or ENG 100 or 110 (if required)
Corequisite: MTH 31
*

**CSI 32 2 Rec 2 Lab 3 Cr**

**Introduction to Computer Programming II**

*Prerequisites: CSI 31; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**CSI 33 2 Rec 2 Lab 3 Cr**

**Data Structures**

*Prerequisites: CSI 32 and CSI 35; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**CSI 35 2 Rec 2 Lab 3 Cr**

**Discrete Mathematics II**

*Prerequisites: CSI 30 and MTH 31; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

### Mathematics

**MTH 06 6 Rec 0 Cr ( not offered after Summer 2022)**

**Intermediate Algebra and Trigonometry**

*Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start, before taking college-level mathematics courses.
*

**MTH 12 3 Rec 3 Cr **

**Introduction to Mathematical Thought**

*Prerequisites: CUNY Math Proficiency*

**MTH 13 4 Rec 3 Cr ( not offered after Spring 2023)**

**Trigonometry and College Algebra**

*Prerequisites: MTH 28 or 28.5
*

**MTH 14 3 Rec 3 Cr ( not offered after Spring 2023)**

**College Algebra and Introduction to Calculus**

*Prerequisites: MTH 13 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)*

**MTH 15 3 Rec 3 Cr ( not offered after Spring 2023)**

**Calculus**

*Prerequisites: MTH 14 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)*

**MTH 21 3 Rec 3 Cr**

**A Mathematical World**

This course aims to introduce liberal arts students to the important mathematical concepts of sets, numbers, probability, statistics, and geometry. Students will learn how to analyze quantitative information, and how to make inferences and predictions about events around us. Further topics covered include financial management and linear programming.

*Prerequisites: CUNY Math Proficiency*

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 21.5 5 Rec 3 Cr**

**A Mathematical World with Algebra
**

This course aims to introduce liberal arts students to the important mathematical concepts of sets, numbers, probability, statistics, and geometry. Students will learn how to analyze quantitative information, and how to make inferences and predictions about events around us. Further topics covered include financial management and linear programming. The following material from arithmetic and elementary algebra has been integrated into the course to provide the necessary background: fractions, decimals, percentages, radicals, functions, polynomials, linear and quadratic equations, literal equations, systems of equations, inequalities in one and two variables. This course is equivalent to MTH 21 A Mathematical World in academic content for the purposes of transfer and grade replacement.

*Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start before taking college-level mathematics courses.*

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 23 3 Rec 3 Cr**

**Probability and Statistics**

*Prerequisites: CUNY Math Proficiency*

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 23.5 5 Rec 3 Cr**

**Probability and Statistics with Algebra
**

*Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start, before taking college-level mathematics courses. *

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 28 4 Rec 3 Cr**

**College Algebra and Elementary Trigonometry**

*Prerequisites: CUNY Math Proficiency AND at least one of the following criteria:1. high school math GPA of at least 70 and successful completion of a course beyond Algebra 1; or2. New York State Regents Trigonometry Score of at least 65; or3. New York State Regents Common Core Algebra 2 Score of at least 65*

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 28.5 6 Rec 3 Cr**

**College Algebra and Elementary Trigonometry (corequisite)**

This course is equivalent to MTH 28 in academic content and for the purposes of transfer and grade replacement.

*Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start before taking college-level mathematics courses.*

This course is open to students who do not meet criteria for MTH 28.

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 30 5 Rec 4 Cr**

**Pre-Calculus Mathematics**

*Prerequisites: MTH 28 or equivalent*

**Required Core B: Mathematical & Quantitative Reasoning
Flexible Core E: Scientific World
**This course can be applied to only one Pathways category.

**MTH 31 6 Rec 4 Cr**

**Analytic Geometry and Calculus I**

*Prerequisites: MTH 30 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)*

**Required Core B: Mathematical & Quantitative Reasoning**

**MTH 32 6 Rec 4 Cr**

**Analytic Geometry and Calculus II**

*Prerequisites: MTH 31 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)*

**MTH 33 6 Rec 4 Cr**

**Analytic Geometry and Calculus III**

*Prerequisites: MTH 32 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**MTH 34 4 Rec 4 Cr**

**Differential Equations and Selected Topics in Advanced Calculus**

*Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**MTH 35 4 Rec 4 Cr**

**Selected Topics in Advanced Calculus and Linear Algebra**

*Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**MTH 37 4 Rec 4 Cr**

**Elements of Calculus and Statistics for Biology Students**

*Prerequisites: MTH 31 or placement by the department
*

**MTH 42 4 Rec 4 Cr**

**Linear Algebra**

*Prerequisites: MTH 32 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**MTH 44 4 rec 4 cr
**

**Vector Analysis**

Differential geometry of curves, line integrals, surface integrals, change of variables, Green’s theorem, Stokes’ theorem, Gauss’s Theorem.

*Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

**MTH 46 4 Rec 4 Cr**

**Abstract Algebra**

*Prerequisites: MTH 42 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)*

**MTH 48 4 Rec 4 Cr**

**Advanced Calculus**

Advanced treatment of the real number system, properties of continuous functions, derivatives and differentials, rigorous work with limits, the definite integral, uniform continuity, uniform convergence, infinite sequences, functions defined by series.

*Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110 (if required)
*

*.*