Study Guide

Objective

After completing the course the student can:
- solve equations, including radical, exponential and logarithmic equations
- use determinants and matrices
- apply dot and cross products
- perform basic operations on complex numbers
- use relevant mathematical terms and notation correctly

Content

- Sets of numbers and number systems
- Real functions
- Polynomials equations and inequalities, exponential and logarithmic equations
- Trigonometry for right triangles
- Complex numbers
- Vectors and matrices

Materials

Available on the ITSL page
Lecture notes
Exercise assignments and solutions

Formula Book
Function Calculator (Casio fx-82EX or equivalent)

Teaching methods

Lectures
Exercise sessions
Exams

Exam schedules

PART 1:
Midterm exam 1 and its retake in November
PART 2:
Midterm exam 2 and its retake in December

Final retake in January of the following year:
You can choose to retake either one or both of the midterm exams.

Student workload

Classroom instruction 52 hours
Independent study approximately 68 hours
Exams and exam preparation approximately 15 hours

Content scheduling

September, REVIEW PART:
- basic arithmetic operations, fractions
- exponent, root, logarithm
- polynomials
- 1st and 2nd degree equations, systems of equations

September-November, PART 1:
- functions and equations, power equation, root equation, exponential equation, logarithmic equation, inequality
- trigonometry
- complex numbers

November-December, PART 2:
- matrices, determinants
- vectors
- number systems

Further information

Email.

Evaluation scale

H-5

Assessment methods and criteria

A passing grade of 8/20 must be obtained from each of the midterm exams. The scores from the midterm exams are added together, and additional points from exercise assignments are added to this sum. Exercise assignments can provide a maximum of 10 extra points, which can improve the overall grade.

Grade table based on points:
0-15: 0
16-22: 1
23-29: 2
30-35: 3
36-42: 4
43-50: 5

Assessment criteria, fail (0)

Not enough points from the exams.

Assessment criteria, satisfactory (1-2)

According to the grade table.

Assessment criteria, good (3-4)

According to the grade table.

Assessment criteria, excellent (5)

According to the grade table.

Qualifications

High school mathematics courses (higher or subsidiary level)
OR
Primary+secondary school and vocational school maths curriculum AND course: Introduction to Mathematics and Physics
OR
equivalent skills