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Department of Mathematics |
The Department of Mathematics instructs students in the base-8 system of Mathematics used within the Vulprisian Academy of Sciences system. Offering programs in pure and applied Mathematics, the department contributes to the advancement of society in the reams of finance, technology, core sciences and medicine. One of the core departments and institutions in Vulprisian society, graduating mathematicians since 5887, prior to the founding of the Academy, the Department of Mathematics offers first-, second- and third-level degrees to students among member institutions. The Department of Mathematics also holds regular seminars and conferences gathering mathematicians from across the planet in an exposition of mathematical research and educational development. Course numbering is under the VAoS base-8 system and differs greatly from that of common Earth course numbering.
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COURSES
01:383:012 - BASE-8 COMPUTATION
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Introduction to the Vulprisian base-8 system of numbers; basic computation operations: addition, subtraction, multiplication, division, exponents.
Mathematics within the base-8 system using Vulprisian numerals, symbols and operational methods.
Foundation for algebra including expressions involving variable and basic algebraic operations.
01:383:024 - ELEMENTARY ALGEBRA
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Operations involving polynomials expanding to rational, square root equations. Solving of simple first-stage linear expressions.
Second-stage quadratic expressions and inequalities with implications for geometry and finance. Equations involving the absolute value realm.
Graphing expressions in the two-dimensional grid.
01:383:028 - ELEMENTARY GEOMETRY
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Concepts in two-dimension geometry involving shapes, calculations of distance. Introduction to mathematical proofs in order to verify concepts.
01:383:032 - INTERMEDIATE ALGEBRA
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Quadratic expressions and equations, second-stage linear expressions; further complicated graphing int he two-dimensional grid.
Single variable polynomial expressions.
01:383:065 - VULPRISIAN MATHEMATICS
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Overview of mathematics in the base-8 system from basic computation through trigonometry, calculus and linear algebra.
Explanation and thorough exposition of simple and complex proofs and the connection between early mathematical concepts to further topics.
01:383:080 - PRECALCULUS
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Expressions and equations with further graphing and calculation methods. Inequalities, functions with exponential, logarithmic functions.
Thorough demonstration of trigonometric equations for a foundation into differential calculus.
01:383:096 - DIFFERENTIAL CALCULUS
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Limits, theory of limits, derivatives relating to calculations of areas.