# Assignment help on MATHS8001 M Math Sciences (F/T)

Maths is a field of study which opens opportunity to wide variety of interesting professions. It is used in every profession whether it is accounts, business, management or science. All the streams use maths for one or other calculation. A large number of students get enrolled in different mathematics courses offered in graduate, post graduate and PhD programs.

MATHS8001 M Math Sciences (F/T) is a research course taught by federal university. It is one of the important high degree course offered in the university. The student interested in the subject enrols themselves in part time or full time master’s degree in mathematics program.

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### Topics we would cover in MATHS8001

**The calculus of a single variable**- Classical algebra and geometry
- Basic arithmetic relationships
- Quadratics
- Integer and series notation
- The arithmetic series
- Powers and roots
- Multiplying and dividing power series

**Trigonometry**- Simple properties
- Scalars, vectors, and vector notation
- Rotation
- Trigonometric sums and differences
- Trigonometric of the hour angles
- The laws of sines and cosines

**The derivative**- Infinitesimals and limits
- Combinatory
- The binomial theorem
- Basic manipulation of the derivative

**The complex exponential**- The real exponential
- The natural logarithm
- Fast and slow functions
- Complex exponentials and de Moivre

**Primes, roots and averages**- Prime numbers
- The existence and number of roots
- Addition and averages

**The integral**- The concept of the integral
- The antiderivative
- Operators, linearity and multiple integrals
- Areas and volumes

**The Taylor series**- The power-series expansion of 1/(1 − z)n+1
- Shifting a power series’ expansion point
- Expanding functions in Taylor series
- Analytic continuation

**Integration techniques**- Integration by antiderivative
- Integration by substitution
- Integration by parts
- Integration by unknown coefficients
- Integration by closed contour

**Cubics and quartics**- Vieta’s transform
- Cubics
- Superfluous roots
- Edge cases
- Quartics

**The matrix**- Provenance and basic use
- The Kronecker delta
- Dimensionality and matrix forms
- The elementary operator
- Inversion and similarity

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