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# 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

1. The calculus of a single variable
• Classical algebra and geometry
• Basic arithmetic relationships
• Integer and series notation
• The arithmetic series
• Powers and roots
• Multiplying and dividing power series
2. Trigonometry
• Simple properties
• Scalars, vectors, and vector notation
• Rotation
• Trigonometric sums and differences
• Trigonometric of the hour angles
• The laws of sines and cosines
3. The derivative
• Infinitesimals and limits
• Combinatory
• The binomial theorem
• Basic manipulation of the derivative
4. The complex exponential
• The real exponential
• The natural logarithm
• Fast and slow functions
• Complex exponentials and de Moivre
5. Primes, roots and averages
• Prime numbers
• The existence and number of roots
6. The integral
• The concept of the integral
• The antiderivative
• Operators, linearity and multiple integrals
• Areas and volumes
7. 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
8. Integration techniques
• Integration by antiderivative
• Integration by substitution
• Integration by parts
• Integration by unknown coefficients
• Integration by closed contour
9. Cubics and quartics
• Vieta’s transform
• Cubics
• Superfluous roots
• Edge cases
• Quartics
10. 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