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# Math Background Required by Higher Education Many the first-year students have such a low level of knowledge in elementary mathematics that it could be.

## Presentation on theme: "Math Background Required by Higher Education Many the first-year students have such a low level of knowledge in elementary mathematics that it could be."— Presentation transcript:

Math Background Required by Higher Education Many the first-year students have such a low level of knowledge in elementary mathematics that it could be a little higher. However, they intend to learn mathematics at the university level, and so they need our help. Some students have tried to memorize math rules and definitions during school training, but they understood nothing. In order to teach students higher math we have to start from the beginning.

Math Background Required by Higher Education Algebra GeometryTrigonometry To be admitted to the university programs in mathematics, a student have to demonstrate the ability to succeed in learning in elementary mathematics. Mathematical prerequisite provides the ability: to recognize equivalent forms of a number, to understand the structure of the real to simplify algebraic expressions and formulas; to solve and graph simple equations and inequalities; to apply properties of algebraic, trigonometric, logarithmic, and exponential functions; to interpret math symbols, number system; to justify statements and construct proofs.

Math Background Required by Higher Education Algebra The Real Number SystemThe Real Number SystemThe Real Number SystemThe Real Number System FractionsFractionsFractions Transformation of Algebraic ExpressionsTransformation of Algebraic Expressions Algebraic Equations and InequalitiesAlgebraic Equations and InequalitiesEquationsInequalitiesEquationsInequalities Elementary FunctionsElementary Functions Elements of Discrete AlgebraElements of Discrete Algebra Complex NumbersComplex Numbers Go to the Geometry Page Go to the Trigonometry Page Geometry Page Trigonometry Page Geometry Page Trigonometry Page

Math Background Required by Higher Education Geometry Basic ConceptionsBasic Conceptions Relationships Between Parts of Geometric FiguresRelationships Between Parts of Geometric Figures Relationships Among Geometric FiguresRelationships Among Geometric Figures Properties of Triangles, Quadrilaterals, Polygons, Circles, Parallel and Perpendicular Lines, etc.Properties of Triangles, Quadrilaterals, Polygons, Circles, Parallel and Perpendicular Lines, etc. Pythagorean’s TheoremPythagorean’s Theorem Perimeters, Areas, and Volumes of FiguresPerimeters, Areas, and Volumes of Figures Go to the Algebra Page Algebra Page Algebra Page

Math Background Required by Higher Education Trigonometry Measures of Angles Unit Circle and Trigonometric Functions Trigonometric Functions of Special Angles Trigonometric Identities Graphs of Trigonometric Functions Inverse Trigonometric Functions Go to the A A A A A llll gggg eeee bbbb rrrr aaaa P P P P aaaa gggg eeeeGo to the G G G G G eeee oooo mmmm eeee tttt rrrr yyyy P P P P aaaa gggg eeee

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