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Mathematics

Associate of Science Degree
Mathematics Courses
    •  
    • Code
    • Course
    • Credits
    • ENG 101
    • English Composition I
    • 3
    A required course for all students who have demonstrated acceptable writing proficiency as measured by a standard test or satisfactory completion of ENG 090. This course will emphasize developing the student’s ability to articulate his/her thoughts in writing a coherent, unified, and well- structured composition. The student will write a series of papers. The student will also learn the techniques needed to produce a library research paper. The required research paper is a major component of the course.
    • ENG 102
    • English Composition II
    • 3
    A required course, which introduces the student to themes and techniques in the basic genres of literature: the short story, drama, and poetry. Expository papers may be written in response to ideas embodied in literature. Prerequisite: ENG 101 or permission of instructor.
    • MAT 103
    • College Algebra
    • 3
    This college level algebra course expands upon a student’s knowledge by further developing algebraic concepts. Topics include graphing equations with an introduction to functions, factoring polynomials, operations on rational functions, simplifying rational exponents, and solving quadratic equations. Students will be required to complete homework assignments using a web-based computer program. Prerequisite: Appropriate score on the placement test or successful completion of MAT 097.
    • MAT 113
    • Pre-Calculus
    • 3
    This course in pre-calculus mathematics includes topics in algebra, coordinate geometry, functions, exponents, logarithms, trigonometry and analytic geometry. Prerequisite: MAT 103 or permission of instructor.
    • MAT 204
    • Calculus I B
    • 4
    Topics include a brief review of analytical geometry, limits, rules for derivatives, derivatives of algebraic, exponential, logarithmic functions, trigonometric functions and their inverses, curve sketching, maxima and minima, optimization, mean value theorem, anti-derivatives, and integration by substitution, areas and fundamental theorem of calculus. Students will be required to complete homework assignments using a web-based computer program. Prerequisite: MAT 113.
    • MAT 205
    • Linear Algebra
    • 3
    This course includes systems of linear equations, matrices and determinants, vectors in 2-space and 3- space, general vector spaces, inner products, eigenvectors and Eigen values. Students will be required to complete homework assignments using a web-based computer program. Prerequisite: MAT 103.
    • MAT 206
    • Calculus II B
    • 4
    Topics include applications of definite integrals to the calculus of areas, volumes and arc length, review of substitution method, methods of integration, L’Hopital’s Rule, improper integrals, sequences and series, Taylor polynomials, Taylor series, parametric equations and elementary differential equations. Students will be required to complete homework assignments using a web-based computer program. Prerequisite: MAT 204.
    • MAT 208
    • Multivariate Calculus B
    • 3
    This course will focus on differential calculus in serval variables, with emphasis in Series, 3D geometry, dot and cross products, partial derivatives, the Jacobian, directional derivatives, chain rule, and maxima and minima applications, and double and triple integrals with applications. Students will be required to complete homework assignments using a web-based computer program. Prerequisite: MAT 206 or permission of the instructor.
    • MAT 209
    • Finite Math
    • 3
    The course provides an introduction to the modern mathematical techniques used in Operations Research. Problems in business and the social sciences are emphasized. Topics include matrices, linear programming (graphical and simplex methods), set theory, counting theory, probability, Markov chains, and game theory. Students will be required to complete homework assignments using a web-based computer program. The TI-84 (or TI-83) graphing calculator is also required. Prerequisite: MAT 103
    • MAT 210
    • Discrete Mathematics
    • 4
    An introduction to the mathematical structures used in engineering and computer science. Topics include logic, methods of proof, functions and relations, set theory, number theory, induction and recursion, counting theory, discrete probability, and graph theory and its applications. The Tl-83 (or above) graphing calculator is required. Prerequisite: MAT 113.
    • MAT 211
    • Introduction to Mathematical Proofs
    • 4
    This course introduces the student to the formal methods of mathematical proof. Course topics include set theory, logic, proof by contrapositive, existence proofs, proof by contradiction, mathematical induction, proof by counterexample, mathematical conjectures, equivalence relations, congruence Modulo n, the integers Modulo n and simple proofs in Number Theory. This course serves as a necessary conceptual bridge from the undergraduate study of calculus to more advanced mathematics courses involving proofs and analysis. Prerequisites: MAT 204
    • MAT 217
    • Advanced Statistics
    • 3
    This calculus-based statistics course expands upon students’ knowledge by further developing the essential concepts underlying mathematical statistics. Topics include counting methods, probability theory, random variables, expectation, variance, estimation, hypothesis testing, correlation, and regression. Students are expected to become fluent in discrete and continuous probability distributions and their applications. The Ti-83 (or higher) graphing calculator is strongly recommended. Prerequisite: MAT 204 Co-requisite: MAT 206
    • MAT 225
    • Differential Equations
    • 4
    The laws of nature are expressed in the language of differential equations. In engineering and science, students must know how to model the world in terms of differential equations, properly interpret the solutions and apply those solutions to areas of application. This course focuses on linear differential equations and their applications in science and engineering. Also, this course stresses the beauty and complexity of nature that can be comprehended in the language of differential equations. Prerequisite: MAT 204 and MAT 206.
    • IDS 167
    • First Year Seminar
    • 3
    This experiential course welcomes students into the academic learning community of Quincy College. Centered around a yearly theme, the purpose of the course is to ensure that all new students connect to the Quincy College community. All sections provide students with college success strategies and each focuses on one of five different perspectives: 1) Humanities, 2) Social Sciences, 3) Civic Engagement, 4) Business, 5) Natural Sciences. The course is required for all new, degree-seeking students who have fewer than 12 college credits from another accredited institution. It is expected that students will take this course in their first semester at QC.
    • HIS 101
    • United States History I
    • 3
    This survey course traces the history of American development from pre-Columbian exploration and the Colonial era through the Civil War. Emphasis is given to the main lines of American development from the coming of the pre-Columbian explorers to the end of the Civil War. Special emphasis is given to constitutional developments in this period including the evolution of the British colonial charters, state constitutions, and the federal constitution. Placement at ENG 101 level strongly advised.

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