Mathematics Courses at Bronx Community College

Jump to: MTH 01, 03, 04, 05, 06, 10, 11, 12, 13, 14, 15, 21, 22, 23, 26, 29, 30, 31, 32, 33, 34, 35, 42, 44, 46, 48.

For information on the different available syllabi formats go here.

The zero-level courses are taken for no credit and are remedial or compensatory in nature. They are designed for students who lack the preparation necessary to enter the college-level mathematics courses.

 

MTH 01 - Fundamental Concepts and Skills in Arithmetic and Algebra 3 hours 0 credits

Syllabus: html, word, pdf, odt


Topics selected from basic operations in arithmetic, verbal problems whose solutions involve arithmetic processes, generalizations of the principles of arithmetic leading to the fundamental concepts of algebra.

Corequisite: RDL 01 if required.

 

MTH 03 - Selected Topics in Elementary Algebra 4 hours 0 credits

Syllabus: html, word, pdf, odt


Topics selected from elementary algebra, geometry, operations with polynomials, graphing, verbal problems, linear equations.
For students who are not in programs requiring MTH 06.
Prerequisites: MTH 01 or equivalent and RDL 01 if required; corequisite: RDL 02 if required.

Supplemental handouts:

 

MTH 04 - Selected Topics in 11th Year Mathematics 4 hours 0 credits

Syllabus: html, word, pdf, odt


Topics selected from relations and functions, quadratic equations, systems of equations, coordinate geometry, radicals, geometry, elements of trigonometry.
Prerequisites: MTH 03 or equivalent and RDL 02 if required.

Supplemental handouts:

 

MTH 05 - Basic Concepts of Mathematics I 6 hours 0 credits

Syllabus: html,  pdf, ps, tex  

Supplementary handouts:


Topics selected from elements of arithmetics, elementary algebra and geometry, equations, polynomials, rational algebraic expressions, graphing.
For students who are in programs requiring MTH 06.
Prerequisites: RDL 01 if required; corequisite: RDL 02 if required.

 

MTH 06 - Basic Concepts of Mathematics II 6 hours 0 credits

Syllabus: html, word, pdf, odt

Supplemental handouts:


Topics selected from real and complex numbers, function concept, coordinate geometry, linear and quadratic equations, systems of equations, geometry, elements of trigonometry.
Prerequisites: MTH 05 or two years of high school mathematics consisting of algebra and geometry or equivalent and RDL 02 if required.

 

MTH 10 - Technical Mathematics I 4 hours 4 credits

Syllabus: html, word, pdf, odt


(For Telecommunication Technology students only.) First course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics include trigonometry functions, vectors, units of measurement and approximate numbers, fundamental concepts of algebra, functions and graphs, systems of linear equations, determinants, factoring and fractions, quadratics, variation and geometry. The scientific calculator is used throughout the course.
Prerequisites: MTH 06 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 11 - Technical Mathematics II 4 hours 4 credits

Syllabus: html, word, pdf, odt


(For Telecommunication Technology students only.) Second course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics include trigonometry functions of any angle, oblique triangle, graphs of trigonometric functions, exponents and radicals, exponential and log functions, basic operations with complex numbers, inequalities, introduction to statistics. The scientific calculator is used throughout the course.
Prerequisites: MTH 10 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 12 - Introduction to Mathematical Thought 3 hours 3 credits

Syllabus: html, word, pdf, odt


Topics selected from probability, statistics, logic, set theory, geometry, matrices, number system structures. (Not recommended for transfer curricula, and will not be accepted for credit in the Liberal Arts curriculum.)
Prerequisites: MTH 03 or equivalent and ENG 01 and RDL 02 if required.

 

MTH 13 - Trigonometry and College Algebra 4 hours 3 credits


Topics selected from vectors, trigonometry, variation, logarithms, complex numbers and DeMoivre's theorem, theory of equations, and system of equations.
Prerequisites: MTH 06 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 14 - College Algebra and Introduction to Calculus 3 hours 3 credits

Syllabus: html, word, pdf, odt

Review sheet: pdf, tex

Analytic geometry, inequalities and absolute value, limits and derivative, application of derivative.
Prerequisites: MTH 13 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 15 - Calculus 3 hours 3 credits

Syllabus: html, word, pdf, odt

Review sheet: pdf, tex

Integrals, application of integrals, differentiation of trigonometric and logarithmic functions, methods of integration, power series and Fourier series.
Prerequisites: MTH 14 or equivalent and ENG 02 and RDL 02 if requires.

 

MTH 21 - Survey of Mathematics I 3 hours 3 credits

Syllabus: html, word, pdf, odt

Supplemental handouts:


Designed for non-science liberal arts students. Emphasis on key concepts and structure of mathematics. Topics selected from decimal notation, computation in other bases, groups, sets, logic, elementary number theory, development of real number system, analytic geometry, linear programming, networks, complex numbers.
Prerequisites: MTH 04 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 22 - Survey of Mathematics II 3 hours 3 credits

Syllabus: html, word, pdf, odt


Topics selected from geometry, algebra, graphs, functions, linear programming, game theory, mathematical induction, permutations, combinations, probability, logic; Euclidean, non-Euclidean, projective, finite, and coordinate geometries; groups, matrices.
Prerequisites: MTH 04 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 23 - Probability and Statistics 3 hours 3 credits

Topics selected from permutations, combinations, probability, sets, finite sample spaces, probabilities as areas, basic statistical concepts, the normal distribution, central limit theorem.
Prerequisites: MTH 04 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 26 - Mathematics in the Modern World 2 hours 2 lab 3 credits

Syllabus: html, word, pdf, odt


Topics selected from BASIC computer language, mathematical simulation of problems from diverse fields including water pollution, population studies, political polls, and artificial intelligence; mathematical algorithms and interpretation of graphs.
Prerequisites: MTH 04 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 29 - Pre-calculus for Business Students 4 hours 4 credits

Syllabus: html, word, pdf, odt


Topics selected from real numbers, functions, straight lines, linear systems (Gauss eliminations), vectors, matrices, graphs of polynomials, exponential and logarithmic functions; compound interest, equations of equivalence, annuities, perpetuities; probability, Markov chains, trigonometry, rational functions. (For students who plan to transfer to Bernard M. Baruch College.)
Prerequisites: MTH 06 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 30 - Pre-Calculus Mathematics 4 hours 4 credits


Topics include inequalities, function concept, special functions, exponential and logarithmic function, rational and irrational functions, binomial theorem, trigonometric functions, mathematical induction.
Prerequisites: MTH 06 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 31 - Analytic Geometry and Calculus I 6 hours 4 credits


Limits, rates of change, differentiation and anti-differentiation of algebraic functions, applications, integrals, curve sketching. (For Engineering Science students or for Liberal Arts and Sciences students planning to major in mathematics, computer science or physical science.)
Prerequisites: MTH 30 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 32 - Analytic Geometry & Calculus II 6 hours 5 credits


Differentiation and integration of transcendental functions, hyperbolic functions, applications of the definite integral; parametric equations, mean value theorems, polar coordinates, plane analytic geometry.
Prerequisites: MTH 31 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 33 - Analytic Geometry & Calculus III 5 hours 5 credits


Vectors, applications of vectors to analytic geometry and calculus, partial differentiation, multiple integrals, volumes and surface area, infinite series, applications.
Prerequisites: MTH 32 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 34 - Differential Equations and Selected Topics in Advanced Calculus 4 hours 4 credits

Syllabus: html, word, pdf, tex, odt


Methods of solving ordinary differential equations; selected topics from among the following: hyperbolic functions, power series, Fourier series, gamma functions, Bessel functions, problems of motion, electric circuits, damped and forced vibrations, Laplace transform.
Prerequisites: MTH 33 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 35 - Selected Topics in Advanced Calculus and Linear Algebra 4 hours 4 credits

Syllabus: html, word, pdf, odt


Matrices, introduction to linear algebra and vector analysis, integral theorems of Gauss, Green and Stokes; applications.
Prerequisites: MTH 33 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 42 - Linear Algebra 4 hours 4 credits

Syllabus: html, word, pdf, odt


Vector spaces, basis and dimension, matrices, linear transformations, determinants, solution of systems of linear equations, eigenvalues and eigenvectors.
Prerequisites: MTH 32 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 44 - Vector Analysis 4 hours 4 credits

Syllabus: html, word, pdf, odt


Differential geometry of curves, line integrals, surface integrals, change of variables, Green's theorem, Stoke's theorem, Gauss's theorem.
Prerequisites: MTH 33 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 46 - Abstract Algebra 4 hours 4 credits

Syllabus: html, word, pdf, tex, odt


Properties of integers, permutations, groups, alternating groups, groups of symmetries, quotient groups, sets, mappings, isomorphisms, homomorphisms, rings, fields, polynomials.
Prerequisites: MTH 42 or equivalent and ENG 02 and RDL 02 if required.

 

MTH 48 - Advanced Calculus 4 hours 4 credits

Syllabus: html, word, pdf, odt


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 ENG 02 and RDL 02 if required.

 

 

 

Formats

The syllabi are available in html, word, pdf, tex and odt formats. For printing you should use the word or pdf formats which are opened with Microsoft Word, Adobe Acrobat respectively. You can also use Open Office, free software, to open the odt files. These are in the open document format.

For faculty members updating syllabi: make changes to either the word, tex or odt file and email it to the webmaster.