An introduction to mathematical logic and proof throughout the context of discrete structures. Topics embrace primary mathematical logic, elementary quantity concept, primary set concept, capabilities, and relations. Writing proficiency is required for a passing grade in this course. A pupil who doesn’t write with the skill normally required of an upper-division scholar won’t earn a passing grade, irrespective of how well the scholar performs in different areas of the course. This is the second of three programs in the fundamental calculus sequence. Topics include vectors and the geometry of house, functions of integration, integration techniques, L’Hopital’s Rule, improper integrals, parametric equations, polar coordinates, conic sections and infinite series.
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This is the primary of three programs in the fundamental calculus sequence. Topics include the limit of a function; the spinoff of algebraic, trigonometric, exponential, and logarithmic features; and the definite integral. Applications of the by-product are coated in detail, including approximations of error using differentials, maxima and minima issues, and curve sketching using calculus. There is also a short evaluate of chosen precalculus topics at the beginning of the course.
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This free course consolidates and builds on group theory studied at OU level 2 or equal. Section 1 describes tips on how to construct a gaggle known as the direct product of two given teams, after which describes sure circumstances under which a gaggle may be considered the direct product of its subgroups. Section 1 offers a short introduction to the kinds of downside that come up in Number Theory.
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