Course plan version Preparatory course in mathematics
Course literature
- Preparatory course in mathematics 1
- Preparatory course in mathematics 1 (2 pages per sheet)
- Web version with solution to exercises
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, Fractional arithmetic, powers.
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, Algebraic expressions, linear 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, Quadratic expressions, roots, 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 |
Day 4, Logarithms, angles and circles.
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, Trigonometric functions and relations.
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 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 |