Mathematics

Calculus 1 (MATH 1180)

Total Credits:  5   Lecture Credits:  5.00  
Description:  This is part of a sequence designed for students intending to major in Mathematics, Physics, Engineering or other mathematics-dependent fields. Topics include the differential and integral calculus of single-variable real functions. Limit, continuity, derivatives, integrals and applications are covered. This course is also appropriate for liberal arts students seeking General Education credits.
Prerequisites: 

Placement score into MATH 1180; or completion of MATH 1125; or MATH 1110 and MATH 1120 or MATH 1116 and MATH 1120; or MATH 1119 and MATH 1120.

MnTC: Goal 4

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Calculus 2 (MATH 1190)

Total Credits:  5   Lecture Credits:  5  
Description:  This is part of a sequence designed for students intending to major in Mathematics, Physics, Engineering or other mathematics-dependent fields. Topics include integral calculus of single-variable real functions, infinite series and applications. This course is also appropriate for liberal arts students seeking General Education credits.
Prerequisites:  MATH 1180
MnTC: Goal 4

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Discrete Mathematics (MATH 2011)

Total Credits:  4   Lecture Credits:  4  
Description:  This course is intended to give students studying computer science the mathematical foundation they will need for their future studies, but it may be taken by students in a wide variety of majors, including Mathematics and Engineering. Topics covered will include: logic, sets, functions, sequences, complexity of algorithms, number theory, matrices, methods of proof, mathematical induction, recursive algorithms, counting methods, discrete probability, relations, graphs and tree fundamentals.
Prerequisites:  MATH 1180
MnTC: Goal 4

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Linear Algebra and Differential Equations (MATH 2210)

Total Credits:  5   Lecture Credits:  5.00  
Description:  This course covers linear algebra, with an emphasis on eigenvalues; introduction to differential equations, including linear differential equations with constant coefficients, solved using eigenvalues; and series solutions and numerical methods for linear and nonlinear differential equations and systems.
Prerequisites: 

MATH 1190.

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Multivariable Calculus (MATH 2220)

Total Credits:  5   Lecture Credits:  5  
Description:  This course covers algebra and geometry of vectors in two and three-dimensional space; velocity, acceleration and curvature; functions of several variables; partial derivatives and chain rule; max/min problems; Lagrange multipliers; double and triple integrals; parametric form of curves and surfaces; polar, cylindrical and spherical coordinates; integration on curves and surfaces; vector fields; theorems of Green and Stokes; and Divergence Theorem.
Prerequisites:  MATH 1190

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Sequences, Series and Foundations (MATH 2283)

Total Credits:  4   Lecture Credits:  4  
Description:  You will be introduced to algebraic and analytic proofs and reasoning that are used in advanced mathematics. You will analyze the real number system, power series and convergence (absolute, uniform) of sequences and series. You will apply power series to differential equation.
Prerequisites:  MATH 2210 or MATH 2220

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