1. Numerical calculations - Revision history

Eakc07: Minor grammatical changes

Eakc07 — Tue, 21 Oct 2008 14:48:50 GMT

Minor grammatical changes

Eakc07: Minor grammatical changes

Eakc07 — Tue, 21 Oct 2008 14:42:15 GMT

Minor grammatical changes

←Older revision		Revision as of 14:42, 21 October 2008
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-	We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (in ~~the animal~~ enclosure: 17 sheep, credit: -250 EURO, per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).	+	We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (animals in an enclosure: 17 sheep, credit: -250 EURO, amount per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).


-	The basic arithmetic operations are structured in a hierarchy that begins with addition and its opposite, subtraction. Following on from addition we have multiplication, which is addition repeated several times. The opposite operation to multiplication is division.	+	The basic arithmetic operations are structured in a hierarchy that begins with addition and its opposite, subtraction. Following on from addition we have multiplication which is addition repeated several times. The opposite operation to multiplication is division.


-	If one continues in the same way the next operation is exponentiation or raising to a power, which is a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 ''Roots and Logarithms''.)	+	If one continues in the same way the next operation is exponentiation or raising to a power which can be considered as a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 ''Roots and Logarithms''.)


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	Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]		Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]

-	''' It is important to note that the material in this section — as well as in other parts of the course — is designed that one does not use calculators.'''	+	''' It is important to note that the material in this section — as well as in other parts of the course — is designed so that one does not use calculators.'''

-	When you get to university, you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. In advanced courses in mathematics one has hardly any use of calculators, as the mathematics is more about understanding principles than performing ~~calculation~~. For example, it is more important to understand why 7 + 3 is the same as 3 + 7, than to be able to carry out the additions and obtain the answer 10.	+	When you get to university you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. For advanced courses in mathematics one has hardly any use of calculators as the mathematics is more about understanding principles than performing calculations. For example, it is more important to understand why 7 + 3 is the same as 3 + 7 than to be able to carry out the additions and obtain the answer 10.


Line 52:		Line 52:
	'''To do well in arithmetic '''		'''To do well in arithmetic '''

-	# Start by reading the section's theory and study the examples.	+	# Start by reading the section's theory and study the examples.
	# Work through the exercises and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong		# Work through the exercises and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong
	# Then go ahead and answer the questions in the basic test of the section.		# Then go ahead and answer the questions in the basic test of the section.

Eakc07 at 14:34, 21 October 2008

Eakc07 — Tue, 21 Oct 2008 14:34:58 GMT

←Older revision		Revision as of 14:34, 21 October 2008
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-	Arithmetic is the study of the properties of numbers and the four basic operations: addition, subtraction, multiplication and division. We usually separate mathematics in different branches or areas, and arithmetic is one of those branches. Other branches are, for example, algebra, geometry and the theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic, means "knowledge". Thus the original meaning was "knowledge of numbers."	+	Arithmetic is the study of the properties of numbers and the four basic operations: addition, subtraction, multiplication and division. We usually separate mathematics into different branches or areas and arithmetic is one of those branches. Other branches are for example: algebra, geometry and the theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic means "knowledge". Thus the original meaning was "knowledge of numbers."

Tek at 08:19, 10 September 2008

Tek — Wed, 10 Sep 2008 08:19:58 GMT

←Older revision		Revision as of 08:19, 10 September 2008
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-	<div class="inforuta">	+	<div class="inforuta" style="width: 580px;">
	'''To do well in arithmetic '''		'''To do well in arithmetic '''

Tekbot: 1. Numerisk räkning moved to 1. Numerical calculations: Robot: moved page

Tekbot — Tue, 09 Sep 2008 12:18:23 GMT

1. Numerisk räkning moved to 1. Numerical calculations: Robot: moved page

←Older revision

Revision as of 12:18, 9 September 2008

Tekbot: Robot: Automated text replacement (-[[Bild: +[[Image:)

Tekbot — Thu, 21 Aug 2008 06:18:49 GMT

Robot: Automated text replacement (-[[Bild: +[[Image:)

←Older revision		Revision as of 06:18, 21 August 2008
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-	[[~~Bild~~:pussel.jpg\|thumb\|250px\|	+	[[Image:pussel.jpg\|thumb\|250px\|
	Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]		Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]

Tek: small fixes

Tek — Wed, 13 Aug 2008 12:38:59 GMT

small fixes

←Older revision		Revision as of 12:38, 13 August 2008
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	'''		'''

		+	Watch the video in which the lecturer Lasse Svensson tells us how arithmetic developed and answers Elins questions.




-	Watch the video in which the lecturer Lasse Svensson tells us how arithmetic developed and answers Elins questions.


-	This first part of the course is about numerical calculations, that is, calculations with numbers. Another name for this is arithmetic.


-	Arithmetic is the study of the properties of numbers and the four basic operations, addition, subtraction, multiplication and division. We usually separate mathematics in different branches or areas, and arithmetic is one of those branches. Other branches are, for example, algebra, geometry and the theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic, means "knowledge". Thus the original meaning was "knowledge of numbers."

		+
		+	This first part of the course is about numerical calculations, that is, calculations with numbers. Another name for this is '''arithmetic'''.
		+
		+
		+	Arithmetic is the study of the properties of numbers and the four basic operations: addition, subtraction, multiplication and division. We usually separate mathematics in different branches or areas, and arithmetic is one of those branches. Other branches are, for example, algebra, geometry and the theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic, means "knowledge". Thus the original meaning was "knowledge of numbers."


	We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (in the animal enclosure: 17 sheep, credit: -250 EURO, per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).		We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (in the animal enclosure: 17 sheep, credit: -250 EURO, per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).
		+

	The basic arithmetic operations are structured in a hierarchy that begins with addition and its opposite, subtraction. Following on from addition we have multiplication, which is addition repeated several times. The opposite operation to multiplication is division.		The basic arithmetic operations are structured in a hierarchy that begins with addition and its opposite, subtraction. Following on from addition we have multiplication, which is addition repeated several times. The opposite operation to multiplication is division.


-	If one continues in the same way the next operation is exponentiation or raising to a power, which is a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 Roots and Logarithms.)	+	If one continues in the same way the next operation is exponentiation or raising to a power, which is a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 ''Roots and Logarithms''.)


Line 49:		Line 53:

	# Start by reading the section's theory and study the examples.		# Start by reading the section's theory and study the examples.
-	# Work through the ~~practice questions~~ and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong	+	# Work through the exercises and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong
	# Then go ahead and answer the questions in the basic test of the section.		# Then go ahead and answer the questions in the basic test of the section.
	# If you get stuck on a point, check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.		# If you get stuck on a point, check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.

Ian at 07:35, 15 July 2008

Ian — Tue, 15 Jul 2008 07:35:13 GMT

←Older revision		Revision as of 07:35, 15 July 2008
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	<div class="inforuta">		<div class="inforuta">
-	'''~~Success with~~ arithmetic '''	+	'''To do well in arithmetic '''

	# Start by reading the section's theory and study the examples.		# Start by reading the section's theory and study the examples.

Ian at 14:55, 1 July 2008

Ian — Tue, 01 Jul 2008 14:55:09 GMT

←Older revision		Revision as of 14:55, 1 July 2008
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	\|}		\|}

-	'''What is a number and who invented in the four basic arithmetic operations ?	+	'''What is a number and who invented the four basic arithmetic operations?
-	~~Vad är ett tal och vem hittade på de olika räknesätten?~~'''	+	'''


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-	This first part of the course is about numerical calculations, that is~~. on~~ calculations with numbers. Another name for this is arithmetic.	+	This first part of the course is about numerical calculations, that is, calculations with numbers. Another name for this is arithmetic.


-	Arithmetic is the study of the properties of numbers and the four basic operations, addition, subtraction, multiplication and division. We usually separate mathematics in different branches or areas, and arithmetic is one of those branches. Other branches are, for example, algebra, geometry and theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic, means "knowledge". Thus the original meaning was "knowledge of numbers."	+	Arithmetic is the study of the properties of numbers and the four basic operations, addition, subtraction, multiplication and division. We usually separate mathematics in different branches or areas, and arithmetic is one of those branches. Other branches are, for example, algebra, geometry and the theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic, means "knowledge". Thus the original meaning was "knowledge of numbers."


Line 28:		Line 28:
	We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (in the animal enclosure: 17 sheep, credit: -250 EURO, per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).		We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (in the animal enclosure: 17 sheep, credit: -250 EURO, per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).

-	The basic arithmetic operations are structured in a hierarchy that begins with addition and ~~then,~~ its opposite, subtraction . Following on from addition we have multiplication, which is addition repeated several times. The opposite operation to multiplication is division.	+	The basic arithmetic operations are structured in a hierarchy that begins with addition and its opposite, subtraction. Following on from addition we have multiplication, which is addition repeated several times. The opposite operation to multiplication is division.


-	If one continues in the same way the next operation is exponentiation or raising to a power., which is a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 Roots and Logarithms.)	+	If one continues in the same way the next operation is exponentiation or raising to a power, which is a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 Roots and Logarithms.)


Line 38:		Line 38:
	Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]		Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]

-	''' It is important to note that the material in this section — as well as in other parts of the course — is designed that one does not use calculators..'''	+	''' It is important to note that the material in this section — as well as in other parts of the course — is designed that one does not use calculators.'''

-	When you get to university, you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. In advanced courses in mathematics one has ~~been~~ hardly any use of calculators, as the mathematics is more about understanding principles performing calculation. For example, it is more important to understand why 7 + 3 is the same as 3 + 7, than to be able to carry out the additions and obtain the answer 10.	+	When you get to university, you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. In advanced courses in mathematics one has hardly any use of calculators, as the mathematics is more about understanding principles than performing calculation. For example, it is more important to understand why 7 + 3 is the same as 3 + 7, than to be able to carry out the additions and obtain the answer 10.


Line 50:		Line 50:
	# Start by reading the section's theory and study the examples.		# Start by reading the section's theory and study the examples.
	# Work through the practice questions and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong		# Work through the practice questions and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong
-		+	# Then go ahead and answer the questions in the basic test of the section.
-		+
-	# ~~Gå därefter vidare och svara på frågorna i grundprovet som hör till avsnittet.~~ Then go ahead and answer the questions in the basic test of the section.	+
	# If you get stuck on a point, check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.		# If you get stuck on a point, check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.
	#When you are finished with the exercises and the basic test in a section you should take the final test to get a pass for the section. The requirement here is to answer correctly three questions in a row before you can move on to the next section.		#When you are finished with the exercises and the basic test in a section you should take the final test to get a pass for the section. The requirement here is to answer correctly three questions in a row before you can move on to the next section.
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	PS.		PS.
-	~~If you feel that you know the contents of a section you can test to go directly to basic and final tests.~~ You must answer all the questions ~~correctlyfor~~ both ~~tests~~, but you may do ~~the~~ test several times. Even if you do not succeed in passing a test at first attempt, it is your last results, which appear in the statistics.	+	You must answer all the questions correctly for both the basic and the final test, but you may do a test several times. Even if you do not succeed in passing a test at first attempt, it is your last results, which appear in the statistics.
-		+	If you feel that you are familiar with the contents of a section you can go directly to the basic and final tests.


	</div>		</div>

Ian at 14:45, 1 July 2008

Ian — Tue, 01 Jul 2008 14:45:25 GMT

←Older revision		Revision as of 14:45, 1 July 2008
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	\|}		\|}

-	'''Vad är ett tal och vem hittade på de olika räknesätten?'''	+	'''What is a number and who invented in the four basic arithmetic operations ?
		+	Vad är ett tal och vem hittade på de olika räknesätten?'''


-	Titta på videon där universitetslektor Lasse Svensson berättar om hur aritmetiken utvecklats och svarar på Elins frågor.



		+	Watch the video in which the lecturer Lasse Svensson tells us how arithmetic developed and answers Elins questions.


		+	This first part of the course is about numerical calculations, that is. on calculations with numbers. Another name for this is arithmetic.


		+	Arithmetic is the study of the properties of numbers and the four basic operations, addition, subtraction, multiplication and division. We usually separate mathematics in different branches or areas, and arithmetic is one of those branches. Other branches are, for example, algebra, geometry and theory of functions. The word arithmetic comes from the Greek "arithmos" meaning "number" and the ending -ic, means "knowledge". Thus the original meaning was "knowledge of numbers."


-	Denna första del av kursen handlar om numerisk räkning, dvs. räkning med tal. Ett annat namn för detta är '''aritmetik'''.

		+	We begin with a discussion of various kinds of numbers and the usual basic operations. The numbers originated in measurements of various kinds (in the animal enclosure: 17 sheep, credit: -250 EURO, per guest: 1 / 8 cake, perimeter of the circle: 2 cm.).

-	~~Aritmetik är läran om talens egenskaper och de fyra räknesätten~~ addition, ~~subtraktion~~, ~~multiplikation och division~~. ~~Man brukar dela in matematiken i olika grenar eller områden~~, ~~och aritmetik är en av dessa grenar~~. Andra grenar är till exempel algebra, geometri och funktionslära. Ordet aritmetik kommer från grekiskans "arithmos" som betyder "tal" och ändelsen -ik som betyder "kunskap" och betyder därför ursprungligen "talkunskap".	+	The basic arithmetic operations are structured in a hierarchy that begins with addition and then, its opposite, subtraction . Following on from addition we have multiplication, which is addition repeated several times. The opposite operation to multiplication is division.


-	~~Vi börjar med en diskussion om olika sorters tal och de vanliga räknesätten~~. ~~Talen har sitt ursprung i mätningar av olika slag (i hagen: 17 får~~, ~~på kontot: -250 kr, per gäst: 1/8 tårta, runt cirkeln: <math>2\pi</math> cm~~.)	+	If one continues in the same way the next operation is exponentiation or raising to a power., which is a multiplication repeated several times. The reverse operation to this is to take the root of a number. Even logarithms can be regarded as a reverse operation to exponentiation. (This you can read about in Part 3 Roots and Logarithms.)


-	Räkneoperationerna är uppbyggda i en hierarki som börjar med addition och dess omvändning subtraktion. Utifrån addition kommer multiplikation, som är en addition upprepad flera gånger. Den omvända operationen till multiplikation är division.

		+	[[Bild:pussel.jpg\|thumb\|250px\|
		+	Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]

-	~~Om man följer detta mönster får man sedan potenser, som är en multiplikation upprepad flera gånger~~. ~~Den omvända räkneoperationen till potens är att dra roten ur ett tal~~. ~~Även logaritmer kan betraktas som en omvänd räkneoperation till potenser. (Detta kan du läsa om i Del 3~~ ''~~Rötter och Logaritmer~~'~~'.)~~	+	''' It is important to note that the material in this section — as well as in other parts of the course — is designed that one does not use calculators..'''

		+	When you get to university, you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. In advanced courses in mathematics one has been hardly any use of calculators, as the mathematics is more about understanding principles performing calculation. For example, it is more important to understand why 7 + 3 is the same as 3 + 7, than to be able to carry out the additions and obtain the answer 10.

-	[[Bild:pussel.jpg\|thumb\|250px\|Roliga pussel med tal hittar du bland annat på [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]
-	'''Observera att materialet i denna kursdel — liksom i övriga delar av kursen — är utformat för att man ska arbeta med det utan hjälp av miniräknare.'''

-
-	När du kommer till högskolan kommer du nämligen ''inte'' att få använda miniräknare på dina "tentor", åtminstone inte på grundkurserna. På högre kurser i matematik har man knappast någon användning för miniräknare, eftersom matematiken då mer handlar om att förstå principer än att utföra räkneoperationer. Det är exempelvis viktigare att förstå varför 7 + 3 är detsamma som 3 + 7, än att kunna utföra additionen och få fram svaret 10.


	<div class="inforuta">		<div class="inforuta">
-	'''~~Så här lyckas du med Aritmetiken~~'''	+	'''Success with arithmetic '''

-	# ~~Börja med att läsa genomgången till ett avsnitt och tänka igenom exemplen~~.	+	# Start by reading the section's theory and study the examples.
-	# ~~Arbeta sedan med övningsuppgifterna och försök att lösa dem utan miniräknare~~. ~~Kontrollera att du kommit fram till rätt svar genom att klicka på svarsknappen~~. ~~Har du inte det~~, ~~så kan du klicka på lösningsknappen, för att se hur du ska göra.~~	+	# Work through the practice questions and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If you do not have it, you can click on the solution button to see what went wrong
-	# Gå därefter vidare och svara på frågorna i grundprovet som hör till avsnittet.	+
-	# ~~Skulle du fastna~~, ~~se efter om någon ställt en fråga om just detta i avsnittets~~ forum. ~~Ställ annars en fråga om du undrar över något~~. ~~Din lärare~~ (~~eller en studiekamrat~~) ~~kommer att besvara den inom några timmar~~.	+
-	# ~~När du är klar med övningsuppgifterna och grundproven i ett avsnitt så ska du göra slutprovet för att bli godkänd på avsnittet~~. ~~Där gäller det att svara rätt på tre frågor i följd för att kunna gå vidare~~.	+	# Gå därefter vidare och svara på frågorna i grundprovet som hör till avsnittet. Then go ahead and answer the questions in the basic test of the section.
-	# ~~När du fått alla rätt på både grundprov och slutprov, så är du godkänd på den delen och kan gå vidare till Del~~ 2 ~~i kursen~~.	+	# If you get stuck on a point, check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.
		+	#When you are finished with the exercises and the basic test in a section you should take the final test to get a pass for the section. The requirement here is to answer correctly three questions in a row before you can move on to the next section.
		+	#When you have answered correctly all questions in both the basic and the final test of this section you will have a pass for this section and can move on to Part 2 of the course.
		+
		+
		+
		+	PS.
		+	If you feel that you know the contents of a section you can test to go directly to basic and final tests. You must answer all the questions correctlyfor both tests, but you may do the test several times. Even if you do not succeed in passing a test at first attempt, it is your last results, which appear in the statistics.
		+

-	PS. Tycker du att innehållet i ett avsnitt känns väldigt bekant, så kan du testa att gå direkt till grundprovet och slutprovet. Du måste få alla rätt på ett prov, men kan göra om provet flera gånger, om du inte lyckas på första försöket. Det är ditt senaste resultat som visas i statistiken.

	</div>		</div>

←Older revision		Revision as of 14:48, 21 October 2008
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	Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]		Fun puzzles with sound can be found, inter alia, on Puzzel Playground [http://www.puzzles.com/puzzleplayground/Numbers.htm Puzzel Playground ]]]

-	''' It is important to note that the material in this section — as well as in other parts of the course — is designed so that ~~one~~ does not use ~~calculators~~.'''	+	''' It is important to note that the material in this section — as well as in other parts of the course — has been designed so that reader does not need the use of a calculator.'''

	When you get to university you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. For advanced courses in mathematics one has hardly any use of calculators as the mathematics is more about understanding principles than performing calculations. For example, it is more important to understand why 7 + 3 is the same as 3 + 7 than to be able to carry out the additions and obtain the answer 10.		When you get to university you will not be allowed to use calculators during your "exams", at least this is true for the basic courses. For advanced courses in mathematics one has hardly any use of calculators as the mathematics is more about understanding principles than performing calculations. For example, it is more important to understand why 7 + 3 is the same as 3 + 7 than to be able to carry out the additions and obtain the answer 10.
Line 53:		Line 53:

	# Start by reading the section's theory and study the examples.		# Start by reading the section's theory and study the examples.
-	# Work through the exercises and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If ~~you do not have it,~~ you can click on the solution button to see what went wrong	+	# Work through the exercises and try to solve them without using a calculator. Make sure that you have the right answer by clicking on the answer button. If your answer is incorrect you can click on the solution button to see what went wrong.
-	# Then go ahead and answer the questions in the basic test of the section.	+	# Then go ahead and answer the questions in the basic test of the section.
-	# If you get stuck on a point, check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.	+	# If you get stuck on a point check to see if someone else has discussed the point in the forum belonging to the section. If not, take up the point yourself. Your teacher (or a student) will respond to your question within a few hours.
-	#When you are finished with the exercises and the basic test in a section you should take the final test to get a pass for the section. The requirement here is to answer correctly three questions in a row before you can move on to the next section.	+	#When you are finished with the exercises and the basic test in a section you should take the final test to get a pass for the section. The requirement here is to answer correctly three questions in a row before you can move on to the next section.
-	#When you have answered ~~correctly~~ all questions in both the basic and the final test of this section you will have a pass for this section and can move on to Part 2 of the course.	+	#When you have answered all the questions correctly in both the basic and the final test of this section you will have a pass for this section and can move on to Part 2 of the course.



	PS.		PS.
-	You must answer all the questions correctly for both the basic and the final test, ~~but~~ you may do a test several times. Even if you do not succeed in passing a test at first attempt, it is your last ~~results, which appear~~ in the statistics.	+	You must answer all the questions correctly for both the basic and the final test, however you may do a test several times. Even if you do not succeed in passing a test at first attempt, it is your last result that appears in the statistics.
-	If you feel that you are familiar with the contents of a section you can go directly to the basic and final tests.	+	If you feel that you are familiar with the contents of a section you can go directly to the basic and final tests.


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