 # Mathematics

Academic Division of Natural & Health Sciences

Mathematics is a powerful language that enables one to understand the physical world and to contribute to developments in our technological society. Mathematicians are in high demand in all sectors of the economy. High-tech industry and biomedical research institutions seek graduates who are skilled in programming, computation, and signal processing. Financial firms need graduates who are accomplished in mathematical modeling, risk analysis, and statistics. The field of education is open to graduates who can clearly communicate mathematical ideas orally and in writing.

The mission of the Quincy College mathematics program is to provide a comprehensive course curriculum that equips students with advanced analytical and problem-solving skills.

• 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 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.

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