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Course plan version Preparatory course in mathematics

Course literature

How the course works

The course consists of 6 tutorial sessions with tutored self-studies. The first session is the two hours, the following sessions are three hours. Each hour begins with the teacher solving one or two of the recommended problems on the board. Then the students solve the remaining recommended problems. Problems that are left are solved during the third hour "continuation" or as homework.

(Note that some programs have different schedule with slightly less hours. The teacher will then instruct on how the plan is to be modified.)

Do not hesitate to skip stuff you already master and spend that time on more difficult parts instead. Observe that all exercises should be solved without a calculator – understanding and numeracy should go hand in hand. Ask your classmates for help!

Lesson plan

Day 1, Different types of numbers, Fractional arithmetic.

Lesson Problems Extra problems
1: 1.2 Fractional arithmetic 1.2:1 a,b,c
1.2:2 a,b
1.2:3 a
1.2:4 a,b
1.2:5 a,b		 1.2:1 d,e
1.2:2 c,d
1.2:3 b
1.2:4 c
1.2:5 c
1.2:6
2: 1.3 Powers 1.3:1
1.3:2
1.3:3 a,b 
1.3:4 a,b,c,d
1.3:5 a,b,c,d		 1.3:3 c,d,e
1.3.4 e 
1.3:5 e,f
1.3:6

Day 2, Powers, Algebraic expressions.

Lesson Problems Extra problems
1: 2.1 Algebraic expressions 2.1:1 d,e,f,g 
2.1:2 a,c
2.1:3 b,c
2.1:4 a,b
2.1:5 a,b 
2.1:6 a,b
2.1:7 a		 2.1:2 d,e
2.1:3 e,f
2.1:4 c
2.1:5 c,d 
2.1:6 c,d
2.1:7 b
2: 2.2 Linear expressions 2.2:2 a,b
2.2:4 a,b
2.2:5 a,b
2.2:6 a,c,e		 2.2:2 d
2.2:5 c,d,e
2.2:8 a,b,c
2.2:9 a,b,c
3: Continuation

Day 3, Linear expressions, Quadratic expressions.

Lektion Problems Extra problems
1: 2.3 Quadratic expressions 2.3:1 a,b
2.3:2 a,b,c
2.3:3 a,b,c
2.3:4
2.3:5 a,b
2.3:6
2.3:7		 2.3:1 d
2.3:2 e,f
2.3:3 e,f
2.3:8
2.3:9
2.3:10
2: 3.1-3.2 Roots, Equations with roots 3.1:1 b,c
3.1:2 a,b,c,d
3.1:5 a,c
3.2:1
3.2:2		 3.1:1 d
3.1:5 b,d
3.2:4
3.2:5
3: Continuation

Day 4, Roots, Logarithms.

Lektion Problems Extra problems
1: 3.3-3.4 Logarithms, Logarithmic equations 3.3:1 a,b,c
3.3:2 a,b,c,d,e,f
3.3:4 a,b
3.3:5 a,b,c,d
3.4:1 b
3.4:2 b		 3.3:1 d
3.3:2 g,h
3.3:4 c
3.3:5 e,f
3.4:1 c
3.4:3
2: 4.1 Angles and circles 4.1:1 a,b,c
4.1:2 a,b
4.1:3 a,b
4.1:4 a,b
4.1:5 a
4.1:6 a,b		 4.1:1 d
4.1:2 c,d
4.1:3 c
4.1:4 c
4.1:5 b
4.1:6 c
4.1:7-10
3: Continuation

Day 5, Angles and circles, Trigonometric functions.

Lektion Problems Extra problems
1: 4.2 Trigonometric functions 4.2:1 a,b,c
4.2:2 a,b,c
4.2:3 a,b,c
4.2:4 a,b,c
4.2:5 a,b
4.2:6		 4.2:1 f
4.2:2 f
4.2:3 d,e,f
4.2:4 d,e,f
4.2:5 c,d
2: 4.3  Trigonometric relations 4.3:1 a
4.3:2 a
4.3:3 a,c,e
4.3:5		 4.3:1 c
4.3:2 b
4.3:4 a,c,e
4.3:6
4.3:7
3: Continuation

Day 6, Trigonometric relations, Trigonometric equations.

Lektion Problems Extra problems
1-2: 4.4 Trigonometric equations 4.4:1 a,b
4.4:2 a,b,d
4.4:3 a
4.4:4		 4.4:2 f
4.4:5 a,c
4.4:7 a,c
4.4:8 a,c
3: Continuation