7/25/2019 Course Outline (Math)

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FEATI UniversityDepartment of Aeronautical Engineering and Aircraft Maintenance

Technology

Helios St. Sta !ru" Manila

Mathematics Course Outline (10%)

DAY TOPICS AND SUTOPICSTotal No!o" #ours

1

A! Al$era Set of Real Numbers (Integers, Exponents and Polynomials)

Rational Expression (Exponents, Radicals and Complex numbers)

Equations on one ariable (!inear, quadratic and related "ord problems)

#unctions (inerse, exponential and logarit$mic)

System of linear equation

%ecomposition of rational expression

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! Tri$onometr' 'rigonometric #unctions (ngles measurement, grap$s solutions)

nalytic 'rigonometry (identities and proing identities)

pplications of 'rigonometry

Sp$erical 'rigonometry (fundamental formula and sp$erical triangles

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C! Anal'tic eometr' Plane nalytic *eometry (Cartesian plane, distance formula, slope,

lines, triangles, cures and equation of locus) '$e !ine (point slope form, slope intercept, distance from a point to

line and normal form) '$e Circle ('$e Standard form for an Equation of a Circle

Conditions to determine a circle) Conic Sections (Parabola, eclipse and $yperbola)

Polar Coordinates

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*

D! Di""erential Calculus !imits (!inear, continuous, infinite, asymptotes trigonometric)

%eriaties (S%+, table of deriaties)

C$ain Rule

perations on deriaties (Product +uotient Rule)

-ig$er %eriaties

pplications (Concaity Related Rates)

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+

,! Inte$ral Calculus

ntidifferentiation Indefinite Integral Integration formula

Integration rule (sum and difference, constant multiple)

Integration 'ec$niques (C$ain Rule, Integration by parts,

'rigonometric Substitution, Partial #raction, 'rigonometric Integrals) %efinite Integrals (fundamental t$eorem)

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- TOTA. *0

#repared $y %&&D