# Assignment help on MATHS8001 M Math Sciences

maths8001

Maths is a field of study which opens the opportunity to a 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, postgraduate and Ph.D. programs.

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

maths8001

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maths8001

### 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

maths8001

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maths8001

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