Junior college students in Singapore who are struggling with math are taking regular JC H2 Math Tuition classes, designed to bolster their confidence and enable them to take on difficult mathematical questions with complex numbers, and to discuss with mathematical detail the questions they can expect in exams.

Complex numbers are numbers that can be expressed in the a + bi form, a and b being real numbers and i the imaginary number which completes the equation. In a complex number where a real part is zero is called imaginary, but a complex number with an imaginary zero is a real number. So, complex numbers contain ordinary real numbers and extend them to resolve problems that otherwise could not be solved. A complex number can be viewed as a point in a two-dimensional Cartesian system complex plane or Argand diagram.

The numbers are conventionally plotted using the real part as the horizontal component, and imaginary part as vertical (see Figure 1). These two values, used to identify a given complex number, are therefore called its Cartesian, rectangular, or algebraic form.

These complex numbers are applied in many fields, such as physics, chemistry, biology, economics, electrical engineering and statistics. Help in understanding and completing these problems can come from taking JC H2 math tuition classes.

The JC H2 math tuition classes each have a small number of students, giving the teachers time and space to answer questions from every student, including problems with homework. All the steps in JC H2 math tuition are transmitted in small chapters that are easy to read and understand, and all the important concepts are summarized. For example, the operations of addition and multiplication have a very natural geometric character when complex numbers are viewed as position vectors: addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis). In JC H2 math tuition these questions are carefully chosen, and reflect ones that can appear in exams.

JC H2 math tuition offers students model answers for all the problems presented in the classroom, which helps them to understand the solutions with greater ease. Teachers in the JC H2 math tuition project believe in the use of technology for efficient delivery of classes, and slides are used regularly, allowing the problem and the solution to be visualised with greater ease. Questions with important learning values are selected and given during mock tests in the JC H2 math tuition classes. This allows school students to concentrate on the important question types, and assures that students understand the presentation styles and prevents them from losing marks in the exams. All students in JC H2 math tuition classes are provided with slides and notes that allow them to review problems after classes.