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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
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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