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 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.)

Observe that all recommended problems should be solved without a calculator – understanding and numeracy should go hand in hand. Ask your classmates for help!

Examination

The course ends with solutions to twelve of the recommended problems being uploaded on 25 August at 8.00-10.00. Therefore, remember to solve all the recommended problems. Write clear and detailed handwritten solutions. Get help from your assistant or friends if you have difficulty solving a problem.

It is important that you do a test upload before the examination to ensure that all aspects of the upload work.

Lesson plan

Lesson 1

Sections: 1.2 Fractional arithmetic, 1.3 Powers.

Plan	Rec. problems	Extra problems
Hour 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
Hour 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

Lesson 2

Sections: 2.1 Algebraic expressions, 2.2 Linear expressions.

Plan	Rec. problems	Extra problems
Hour 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
Hour 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
Hour 3: Continuation

Lesson 3

Sections: 2.3 Quadratic expressions, 3.1 Roots, 3.2 Equations with roots.

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

Lesson 4

Sections: 3.3 Logarithms, 3.4 Logarithmic equations, 4.1 Angles and circles.

Plan	Rec. problems	Extra problems
Hour 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
Hour 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
Hour 3: Continuation

Lesson 5

Sections: 4.2 Trigonometric functions, 4.3 Trigonometric relations.

Plan	Rec. problems	Extra problems
Hour 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
Hour 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
Hour 3: Continuation

Lesson 6

Sections: 4.4 Trigonometric equations.

Plan	Rec. problems	Extra problems
Hour 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
Hour 3: Continuation