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MA30209 Applied Mathematics

Supplementary Subject Learning area of Mathematics
Level M.4 Semester 1 60 periods: 1.5 credits

The learning area of this course is aimed at introducing the foundations of analysis designed to
precede the calculus sequence with emphasis on functions and graphs. Topics include properties of
absolute value, polynomial, rational, exponential and logarithmic functions, techniques for solving equations
and inequalities, and an introduction to analytic geometry and conic sections. Students will be able to apply
mathematical concepts and principles to identify and solve problems and develop their thinking skills
towards the 21st century.
The teaching procedures introduced in this course focus on the mathematical learning process;
lectures by the teacher; collaborative learning groups; student-led facilitation of topics; online learning;
games; and activities in order to allow students to develop themselves to their highest potentiality.
Throughout the course, students should be able to use mathematical skills, including the ability to use
technology, critical thinking and problem solving to become well-rounded and fully developed in all
respects; physically, intellectually, emotionally and socially.

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. Identify real numbers and use the properties of real numbers to solve problems.
2. Understand the meaning of absolute value and be able to solve absolute value equations and
inequalities.
3. Add, subtract and multiply polynomial expressions.
4. Be able to use the factor and remainder theorem.
5. Divide a polynomial (not exceeding degree 4), by a linear or quadratic polynomial, and identify the
quotient and remainder.
6. Solve polynomial equations and inequalities.
7. Find the distance, midpoint and gradient of a line segment joining two points.
8. Interpret and use any of the forms of the equation of a straight line in solving problems.
9. Solve problems using analytic geometry.
10. Understand how conic sections are obtained as curves of intersection of a double-cone with a
plane.
11. Interpret the standard form of the equations of circles, ellipses, parabolas and hyperbolas.
12. Understand the definition of exponential and logarithmic functions, including their relationship as
inverse functions and graphs.
13. Use logarithms to solve exponential equations and inequalities.

Total: 13 Learning Outcomes

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