**201-015-50 4-2-4
3 1/3 cr.**
Secondary V Mathematics: Technical and Scientific Option
*(Prerequisite: Secondary IV* Mathematics: Technical and Scientific or Science Options)
This course is designed for students who have not taken and passed the secondary V Mathematics course: Technical and Scientific Option. It concentrates on real-valued functions and solves problems involving equations, inequalities, systems of equations, geometric vectors, and trigonometry.
**201-103-RE 3-2-3
2 2/3 cr.**
**Differential and Integral Calculus I**
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options or equivalent)
This is a course in Differential Calculus designed for students in Social Science, Commerce, and Liberal Arts. The course starts by reviewing the properties of different functions and their graphs. The derivative is used to solve optimization and related rates problems from Business, Economics, and the Social Sciences.
**201-105-RE 3-2-3
2 2/3 cr.**
**Linear Algebra**
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options or equivalent)
Matrices and determinants are introduced to solve systems of linear equations. Vectors in Euclidean space, scalar products and vector products are used to study geometry in two and three dimensions. Optional topics and applications include Markov chains, Leontief Economic models and linear programming.
**201-203-RE**** 3-2-3
2 2/3 cr.**
Differential and Integral Calculus II
*(Prerequisite: 201-103-RE or 201-NYA-05)*
This course continues the study of limits with the definite integral and the Fundamental Theorem of Calculus. It covers techniques of integration, improper integrals, and application to areas, economics, and finance. Approximation techniques using differentials and Taylor and Maclaurin series are also introduced together with differential equations.
**201-CWE-05 3-2-3
2 2/3 cr.**
Calculus III
*(Prerequisite: 201-NYB-05; Co-requisite: 201-NYC-05)*
Calculus III is designed for students who are interested in further studies in calculus. The differentiation and integration of functions in several variables lead to the concepts of partial derivatives and multiple integrals. This involves curves, surfaces and volumes in space. Convergence of various types of series and the appropriate tests to use are studied.
**201-CWF-05 3-2-3
2 2/3 cr.**
Pre-Calculus (Introduction to College Math)
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options, Math for Electronics or equivalent)
The emphasis in this course is given to the concept of a function and its graph. The functions studied include: polynomial, rational, exponential, logarithmic, trigonometric and their inverses. Algebra skills required in calculus are covered and vectors are introduced.
**201-E01-HR 3-2-3
2 2/3 cr.**
Math for Electronics
*(Prerequisite: Secondary IV* Mathematics: Technical and Scientific or Science Options or equivalent)
This course is designed for first-year Electronics Technology students who have not taken or passed the secondary V Mathematics course: Technical and Scientific or Science Options. It provides the tools necessary for their program with emphasis on real valued functions and their applications to Electronics.
**201-H01-HR 3-2-2
2 1/3 cr.**
Mathematics for Computer Science
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options or equivalent)
Students in the Computer Science program study and practice the binary and hexadecimal number systems as used in computing and such basic math tools as found in logic, set theory, matrix algebra and financial mathematics.
**201-H02-HR 2-2-2
2 cr.**
Statistics for Computer Science
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options or equivalent)
Students in the Computer Science program calculate probabilities using basic counting principles and various frequency distributions such as: binomial, normal, and Poisson. They then learn the measures of mean and standard deviation and how to perform hypothesis testing concerning these measures. Statistical computer software packages are used to handle data problems.
**201-H03-HR 3-2-3
2 2/3 cr.**
Mathematical Models I
*(Prerequisite: Sec. IV* Math: Technical and Scientific or Science Options or equivalent)
This course is designed for first-year Electronics and Information Technology students. It provides the tools necessary for their program with emphasis on problem solving and the use of functions to represent the interrelation of variable quantities. Topics include the following: intuitive limits, differentiation rules, intervals of increase/decrease, maxima/minima, concavity, points of inflection. Particular attention is given to linear, quadratic, exponential, logarithmic and trigonometric functions and equations.
**201-H04-HR 3-2-3
2 2/3 cr.**
Mathematical Models II
*(Prerequisite: 201-H03-HR)*
This is a basic differential and integral calculus course for
students in the Electronics and Information Technology program. The emphasis is
on application rather than on theory. Topics include the following:
intuitive limits, differentiation rules, intervals of increase/decrease,
maxima/minima, concavity, points of inflection, indefinite and definite
integrals, areas, average and r.m.s. values, techniques of integration
and improper integrals.
**201-NYA-05 3-2-3
2 2/3 cr.**
Calculus I
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options, Pre-Calculus or equivalent)
This is a standard first course in Differential Calculus. It introduces the concept of limits for sequences and functions and, in particular, studies the derivative and its applications in analyzing functions and in solving related rate and optimization problems.
**201-NYB-05 3-2-3 2 2/3 cr.**
Calculus II
*(Prerequisite: 201-103-RE or 201-NYA-05)*
This course continues the study of limits with the definite integral and the Fundamental Theorem of Calculus. It covers techniques of integration, improper integrals, and application to areas, volumes, and arc length. Approximation techniques using differentials and Taylor and Maclaurin series are also introduced together with differential equations.
**201-NYC-05
3-2-3
2 2/3 cr.**
Linear Algebra
*(Prerequisite: Secondary V* Mathematics: Technical and Scientific or Science Options or equivalent)
Matrices and determinants are introduced to solve systems of linear equations. Vectors in Euclidean space, scalar products and vector products are used to study geometry in two and three dimensions. Optional topics and applications include linear programming and eigenvectors.
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