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MA30212 Applied Mathematics
Supplementary Subject Learning area of Mathematics
Level M.5 Semester 2 60 periods: 1.5 credits

The learning area of this course is aimed at experience through well-designed studies of practical
mathematics. At this level, students should be able to know about finite and infinite sequences, convergent
and divergent sequences, convergent and divergent series, solve the problem of the value of money and
the Periodic Fees, finding the size of the vector, find the multiplication of vector with scalar, find the vector
in the coordinates of the scene, find the vector in three dimensions, know the basic rules of counting, use
permutation method, grouping method and binomial theorem to solve problem in probability and develop
their thinking skills towards the 21st century.
The teaching procedures introduced in this course focus on apply diverse methods for problem-
solving; avail of mathematical and technological knowledge, skills and processes for appropriately solving
problems; suitably provide reasoning for decision-making and appropriately present the conclusions; use
mathematical language and symbols for communication; present mathematical concepts accurately and
clearly; link various bodies of mathematical knowledge, principles, and processes with other disciplines; and
attain ability for creative thinking.

The course also enables students to instill the desirable characteristics, including honesty and
integrity; self-discipline; avidity for learning; dedication and commitment to work; public-mindedness; and
being healthy and well-balanced.

Course Learning Outcomes
1. Understand the definition of a radian and use the relationship between radians and degrees.
2. Sketch and use graphs of the sine, cosine and tangent functions (for any size using degrees or
radians).
3. Use the exact values of the sine, cosine and tangent of 30, 45, 90 degrees and related angles. Find
all solutions of simple trigonometric equations lying in a specific interval.
4. Understand the relationship between the secant, cosecant and cotangent functions to cosine, sine
and tangent. Use trigonometric identities for the simplification and exact evaluation of expressions
and in the course of solving equations.
5. Understand the idea of a complex number, recall the meaning of the modulus, argument and
conjugate of a complex number. Carry out operations of addition, subtraction, multiplication and
division of two complex numbers.
6. Represent complex numbers geometrically by means of an Argand diagram. Carry out operations
of multiplication and division of two complex numbers expressed in polar form.
7. Multiply a matrix by a scalar; add, subtract and multiply two matrices up to order 4.
8. Find the determinant and inverse of a matrix and use matrices to solve systems of linear equations.
9. Add and subtract vectors, multiply a vector by a scalar and interpret these operations geometrically.
10. Find the vector equation of a line, find and use the scalar and vector product of two vectors.
11. Understand the definitions and be able to calculate permutations and combinations.
12. Apply permutations and combinations to solve problems involving probability.
13. Recognize arithmetic and geometric progressions and use the binomial expansion.
14. Use the formulae for the nth term and first sum of the first n terms to solve problems involving
arithmetic and geometric progressions.
Total: 14 Learning Outcomes

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