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This document contains an outline for a paper on English as a Medium of Instruction. The outline includes sections on Algebra, Geometry, Number Theory, and Probability. Each section lists exercises related to the topic. For example, the Algebra section lists exercises involving specifying roots of equations and making quadratic equations based on given roots. The document was created by Agnes Ika Nurvitaningrum for a class at the University of Jember.
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- 1. Outline English as Mediumof Instruction Agnes Ika Nurvitaningrum Fakultas Keguruan dan Ilmu Pendidikan Universitas Jember 14th June 2013 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 2. Outline Outline 1 Algebra 2 Geometry 3Number Theory 4 Probability Agnes Ika Nurvitaningrum English as Medium of Instruction
- 3. Outline Outline 1 Algebra 2 Geometry 3Number Theory 4 Probability Agnes Ika Nurvitaningrum English as Medium of Instruction
- 4. Outline Outline 1 Algebra 2 Geometry 3Number Theory 4 Probability Agnes Ika Nurvitaningrum English as Medium of Instruction
- 5. Outline Outline 1 Algebra 2 Geometry 3Number Theory 4 Probability Agnes Ika Nurvitaningrum English as Medium of Instruction
- 6. Algebra Geometry Number Theory Probability Algebra Exercise 1 Specifythe number of roots of the integers from the equation 4x4 − 15x2 + 5x + 6 = 0 2 Known roots of the equation x3 − 2x2 − 3x + 1 = 0 are x1,x2 and x3. Specify the value 1 x1 + 1 x2 + 1 x3 3 Known roots of the equation x3 − 3x2 + 4x + 5 = 0 are x1,x2 and x3. Specify the value x3 1 + x3 2 + x3 3 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 7. Algebra Geometry Number Theory Probability Algebra Exercise 1 Specifythe number of roots of the integers from the equation 4x4 − 15x2 + 5x + 6 = 0 2 Known roots of the equation x3 − 2x2 − 3x + 1 = 0 are x1,x2 and x3. Specify the value 1 x1 + 1 x2 + 1 x3 3 Known roots of the equation x3 − 3x2 + 4x + 5 = 0 are x1,x2 and x3. Specify the value x3 1 + x3 2 + x3 3 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 8. Algebra Geometry Number Theory Probability Algebra Exercise 1 Specifythe number of roots of the integers from the equation 4x4 − 15x2 + 5x + 6 = 0 2 Known roots of the equation x3 − 2x2 − 3x + 1 = 0 are x1,x2 and x3. Specify the value 1 x1 + 1 x2 + 1 x3 3 Known roots of the equation x3 − 3x2 + 4x + 5 = 0 are x1,x2 and x3. Specify the value x3 1 + x3 2 + x3 3 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 9. Algebra Geometry Number Theory Probability Algebra Exercise 1 Specifythe number of roots of the integers from the equation 4x4 − 15x2 + 5x + 6 = 0 2 Known roots of the equation x3 − 2x2 − 3x + 1 = 0 are x1,x2 and x3. Specify the value 1 x1 + 1 x2 + 1 x3 3 Known roots of the equation x3 − 3x2 + 4x + 5 = 0 are x1,x2 and x3. Specify the value x3 1 + x3 2 + x3 3 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 10. Algebra Geometry Number Theory Probability Algebra Exercise 1 Knownroots of the equation x4 − 8x3 + ax2 − bx + c = 0 Forming arithmetic progression with different 2. Specify the value a, b, dan c 2 If α dan β roots of the equation x2 − ax + b = 0 (a, b real). Make quadratic equations who roots α3 β dan β3 α Agnes Ika Nurvitaningrum English as Medium of Instruction
- 11. Algebra Geometry Number Theory Probability Algebra Exercise 1 Knownroots of the equation x4 − 8x3 + ax2 − bx + c = 0 Forming arithmetic progression with different 2. Specify the value a, b, dan c 2 If α dan β roots of the equation x2 − ax + b = 0 (a, b real). Make quadratic equations who roots α3 β dan β3 α Agnes Ika Nurvitaningrum English as Medium of Instruction
- 12. Algebra Geometry Number Theory Probability Algebra Exercise 1 Knownroots of the equation x4 − 8x3 + ax2 − bx + c = 0 Forming arithmetic progression with different 2. Specify the value a, b, dan c 2 If α dan β roots of the equation x2 − ax + b = 0 (a, b real). Make quadratic equations who roots α3 β dan β3 α Agnes Ika Nurvitaningrum English as Medium of Instruction
- 13. Algebra Geometry Number Theory Probability Geometry Exercise 1 Atriangle has base length 3 cm shorter than the height and breadth of less than 27cm2. If height of triangle t cm so... 2 From a piece of cardboard that breadth of 10dm2 will be made a blanket cylinder bottom radius 14 cm and height 10cm. With π = 22 7 , the rest of cardboard is broad... Agnes Ika Nurvitaningrum English as Medium of Instruction
- 14. Algebra Geometry Number Theory Probability Geometry Exercise 1 Atriangle has base length 3 cm shorter than the height and breadth of less than 27cm2. If height of triangle t cm so... 2 From a piece of cardboard that breadth of 10dm2 will be made a blanket cylinder bottom radius 14 cm and height 10cm. With π = 22 7 , the rest of cardboard is broad... Agnes Ika Nurvitaningrum English as Medium of Instruction
- 15. Algebra Geometry Number Theory Probability Geometry Exercise 1 Atriangle has base length 3 cm shorter than the height and breadth of less than 27cm2. If height of triangle t cm so... 2 From a piece of cardboard that breadth of 10dm2 will be made a blanket cylinder bottom radius 14 cm and height 10cm. With π = 22 7 , the rest of cardboard is broad... Agnes Ika Nurvitaningrum English as Medium of Instruction
- 16. Algebra Geometry Number Theory Probability Geometry Exercise 1 Aboy stood in a place A in the banks of rivers straight. He observed two trees B right across the river. Tree B right across tree A. The distance tree B and C are 8 √ 6 meter and Large angular BAC = 30o. the width of the river is... 2 Trapezoid ABCD, DC AB. is parallel DC. T intersection extension of AD dan BC. The long TA is, ... 3 Given a triangle ABC with sides AB, BC and CA respectively is 5 cm, 6 cm and 4 cm. What is sin2(< BAC) Agnes Ika Nurvitaningrum English as Medium of Instruction
- 17. Algebra Geometry Number Theory Probability Geometry Exercise 1 Aboy stood in a place A in the banks of rivers straight. He observed two trees B right across the river. Tree B right across tree A. The distance tree B and C are 8 √ 6 meter and Large angular BAC = 30o. the width of the river is... 2 Trapezoid ABCD, DC AB. is parallel DC. T intersection extension of AD dan BC. The long TA is, ... 3 Given a triangle ABC with sides AB, BC and CA respectively is 5 cm, 6 cm and 4 cm. What is sin2(< BAC) Agnes Ika Nurvitaningrum English as Medium of Instruction
- 18. Algebra Geometry Number Theory Probability Geometry Exercise 1 Aboy stood in a place A in the banks of rivers straight. He observed two trees B right across the river. Tree B right across tree A. The distance tree B and C are 8 √ 6 meter and Large angular BAC = 30o. the width of the river is... 2 Trapezoid ABCD, DC AB. is parallel DC. T intersection extension of AD dan BC. The long TA is, ... 3 Given a triangle ABC with sides AB, BC and CA respectively is 5 cm, 6 cm and 4 cm. What is sin2(< BAC) Agnes Ika Nurvitaningrum English as Medium of Instruction
- 19. Algebra Geometry Number Theory Probability Geometry Exercise 1 Aboy stood in a place A in the banks of rivers straight. He observed two trees B right across the river. Tree B right across tree A. The distance tree B and C are 8 √ 6 meter and Large angular BAC = 30o. the width of the river is... 2 Trapezoid ABCD, DC AB. is parallel DC. T intersection extension of AD dan BC. The long TA is, ... 3 Given a triangle ABC with sides AB, BC and CA respectively is 5 cm, 6 cm and 4 cm. What is sin2(< BAC) Agnes Ika Nurvitaningrum English as Medium of Instruction
- 20. Algebra Geometry Number Theory Probability Number Theory Exercise 1Set last of numbers 777333 2 Show that 55552222 + 22225555 divisible by 7 3 Set the remainder of 31990 if divided 41 4 Specify the number of units 19971991 5 What ’ s the rest of the division of 434343 by 10 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 21. Algebra Geometry Number Theory Probability Number Theory Exercise 1Set last of numbers 777333 2 Show that 55552222 + 22225555 divisible by 7 3 Set the remainder of 31990 if divided 41 4 Specify the number of units 19971991 5 What ’ s the rest of the division of 434343 by 10 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 22. Algebra Geometry Number Theory Probability Number Theory Exercise 1Set last of numbers 777333 2 Show that 55552222 + 22225555 divisible by 7 3 Set the remainder of 31990 if divided 41 4 Specify the number of units 19971991 5 What ’ s the rest of the division of 434343 by 10 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 23. Algebra Geometry Number Theory Probability Number Theory Exercise 1Set last of numbers 777333 2 Show that 55552222 + 22225555 divisible by 7 3 Set the remainder of 31990 if divided 41 4 Specify the number of units 19971991 5 What ’ s the rest of the division of 434343 by 10 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 24. Algebra Geometry Number Theory Probability Number Theory Exercise 1Set last of numbers 777333 2 Show that 55552222 + 22225555 divisible by 7 3 Set the remainder of 31990 if divided 41 4 Specify the number of units 19971991 5 What ’ s the rest of the division of 434343 by 10 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 25. Algebra Geometry Number Theory Probability Number Theory Exercise 1Set last of numbers 777333 2 Show that 55552222 + 22225555 divisible by 7 3 Set the remainder of 31990 if divided 41 4 Specify the number of units 19971991 5 What ’ s the rest of the division of 434343 by 10 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 26. Algebra Geometry Number Theory Probability Probability Exercise 1 Thequarter-final champions 2010 followed 8 team A,B,C,D,E,F,G dan H. Every team has a chance 1/2 to go to the next round. A chance occurrence A meet G in the final and in the end A champion is ... 2 For example, the first appearance of dice numbers A and dice both bring up numbers B then the possibilities that will be obtained if the A and B is the numbers on the dice are mutually contradictory is ... Agnes Ika Nurvitaningrum English as Medium of Instruction
- 27. Algebra Geometry Number Theory Probability Probability Exercise 1 Thequarter-final champions 2010 followed 8 team A,B,C,D,E,F,G dan H. Every team has a chance 1/2 to go to the next round. A chance occurrence A meet G in the final and in the end A champion is ... 2 For example, the first appearance of dice numbers A and dice both bring up numbers B then the possibilities that will be obtained if the A and B is the numbers on the dice are mutually contradictory is ... Agnes Ika Nurvitaningrum English as Medium of Instruction
- 28. Algebra Geometry Number Theory Probability Probability Exercise 1 Thequarter-final champions 2010 followed 8 team A,B,C,D,E,F,G dan H. Every team has a chance 1/2 to go to the next round. A chance occurrence A meet G in the final and in the end A champion is ... 2 For example, the first appearance of dice numbers A and dice both bring up numbers B then the possibilities that will be obtained if the A and B is the numbers on the dice are mutually contradictory is ... Agnes Ika Nurvitaningrum English as Medium of Instruction
- 29. Algebra Geometry Number Theory Probability Probability Exercise 1 Ina pouch there are 2 white balls and six balls red. Taken one ball at random and ball took its color is noted. After which the ball is returned to the pockets and later retrieved again one ball at random. Opportunity took two balls of different colors is... 2 How many the phone number consists of 7 figures can be made with 4 digit originally was 0812, the remaining three digits must be different and not a number 0, 3 or 5, and the last digit is not a number 9 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 30. Algebra Geometry Number Theory Probability Probability Exercise 1 Ina pouch there are 2 white balls and six balls red. Taken one ball at random and ball took its color is noted. After which the ball is returned to the pockets and later retrieved again one ball at random. Opportunity took two balls of different colors is... 2 How many the phone number consists of 7 figures can be made with 4 digit originally was 0812, the remaining three digits must be different and not a number 0, 3 or 5, and the last digit is not a number 9 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 31. Algebra Geometry Number Theory Probability Probability Exercise 1 Ina pouch there are 2 white balls and six balls red. Taken one ball at random and ball took its color is noted. After which the ball is returned to the pockets and later retrieved again one ball at random. Opportunity took two balls of different colors is... 2 How many the phone number consists of 7 figures can be made with 4 digit originally was 0812, the remaining three digits must be different and not a number 0, 3 or 5, and the last digit is not a number 9 Agnes Ika Nurvitaningrum English as Medium of Instruction
- 32. Algebra Geometry Number Theory Probability Probability Exercise 1 Manytelephone connection to number 108, between hours 23.00 until 24.00 for 1 month is Poisson distribution with average 5 connections every day, based on this, determine the odds that one day on the hour when there are 5 connection! Agnes Ika Nurvitaningrum English as Medium of Instruction
- 33. Algebra Geometry Number Theory Probability Probability Exercise 1 Manytelephone connection to number 108, between hours 23.00 until 24.00 for 1 month is Poisson distribution with average 5 connections every day, based on this, determine the odds that one day on the hour when there are 5 connection! Agnes Ika Nurvitaningrum English as Medium of Instruction