Exam 2 will cover the content of Assignments 5,6, and 7. Exam problems will be similar to homework problems. Here are a few topics that should not be ignored while you are studying:
KNOW HOW TO READ, WRITE, AND DO ARITHMETIC IN SEXAGESIMAL NOTATION.
BRING A PENCIL AND ERASER. NO CALCULATORS ARE ALLOWED. NO SCRATCH PAPER WILL BE NEEDED.
EACH STUDENT MAY BRING ONE 8.5 INCH BY 11 INCH SHEET OF PAPER WITH ANYTHING THEY WANT WRITTEN ON BOTH SIDES.
KNOW THE BABYLONIAN TECHNIQUE FOR ESTIMATING SQUARE ROOTS. KNOW THE BABYLONIAN TECHNIQUE FOR SOLVING QUADRATIC EQUATIONS. KNOW HOW TO USE TRIANGLE SIMILARITY AND THE PYTHAGOREAN THEOREM. KNOW THE BABYLONIAN FORMULA FOR THE AREA OF A CIRCLE. KNOW THE GREEK HERODIANIC NUMERATION SYSTEM (SKIP THE IONIC SYSTEM). KNOW HOW THALES FOUND THE DISTANCE BETWEEN A SHIP AND THE SHORE. KNOW HOW THALES MEASURED THE HEIGHT OF A TALL TREE.
BRING A PENCIL AND ERASER. NO CALCULATORS ARE ALLOWED. NO SCRATCH PAPER WILL BE NEEDED.
EACH STUDENT MAY BRING ONE 8.5 INCH BY 11 INCH SHEET OF PAPER WITH ANYTHING THEY WANT WRITTEN ON BOTH SIDES.
Exam 3 will cover the content of Assignments 8, 9, 10, and 11. Exam problems will be similar to homework problems.
STUDY THE SOLUTIONS TO THE EXERCISES IN THE FOLLOWING SECTIONS IN OUR TEXTBOOK: 3-5, 3-6, 4-2, 8-4, 8-6. (Note that Section 3-10 is omitted!!) KNOW HOW TO CALCULATE THE ARITHMETIC MEAN, THE HARMONIC MEAN, AND THE GEOMETRIC MEAN OF TWO NUMBERS a and b. Does HA = G^2 for all a,b? KNOW HOW TO WRITE DOWN TRIANGLE NUMBERS, SQUARE NUMBERS, AND PENTAGONAL NUMBERS JUST AS IN FIGURE 3.2. KNOW HOW TO FIND PYTHAGOREAN TRIPLES. KNOW THE FIRST 6 PERFECT NUMBERS. KNOW THE GEOMETRY PROBLEMS THAT ARE LISTED IN ASSIGNMENT 9 on the ASSIGNMENT PAGE. KNOW HOW TO CONVERT FROM ONE NON-DECIMAL BASE TO ANOTHER NON-DECIMAL BASE, KNOW THE SHORTCUT TO PERFORM CONVERSIONS AMONG THE BASES 2, 4, 8, 16. KNOW HOW ADD AND MULTIPLY IN NON-DECIMAL BASES.BRING A RULER, COMPASS, PENCIL AND ERASER. NO CALCULATORS ARE ALLOWED. NO SCRATCH PAPER WILL BE NEEDED.
EACH STUDENT MAY BRING ONE 8.5 INCH BY 11 INCH SHEET OF PAPER WITH ANYTHING THEY WANT WRITTEN ON BOTH SIDES.
The final will cover the content of Assignments 1 through 11. Exam problems will be similar to homework problems. Here are a few topics that should not be ignored while you are studying:
STUDY THE SOLUTIONS TO THE ASSIGNED EXERCISES IN THE TEXTBOOK. KNOW HOW TO ADD, SUBTRACT, MULTIPLY, AND DIVIDE RATIONAL NUMBERS USING EGYPTIAN METHODS. KNOW THE EGYPTIAN FORMULA FOR THE AREA OF A CIRCLE. KNOW THE BABYLONIAN TECHNIQUE FOR ESTIMATING SQUARE ROOTS. KNOW THE BABYLONIAN TECHNIQUE FOR SOLVING QUADRATIC EQUATIONS. KNOW HOW TO ADD AND MULTIPLY RATIONAL NUMBERS IN SEXAGESIMAL NOTATION. KNOW HOW TO REPRESENT NUMBERS USING CUNEIFORM (THE BABYLONIAN NUMERATION). KNOW HOW TO USE TRIANGLE SIMILARITY AND THE PYTHAGOREAN THEOREM. KNOW THE BABYLONIAN FORMULA FOR THE AREA OF A CIRCLE. KNOW HOW THALES FOUND THE DISTANCE BETWEEN A SHIP AND THE SHORE. KNOW HOW AN ANCIENT MIGHT MEASURE THE HEIGHT OF A TALL TREE AT ANY TIME OF DAY. KNOW HOW TO CALCULATE THE ARITHMETIC MEAN, THE HARMONIC MEAN, AND THE GEOMETRIC MEAN OF TWO NUMBERS a and b. Does HA = G^2 for all a,b? KNOW HOW TO WRITE DOWN TRIANGLE NUMBERS, SQUARE NUMBERS, AND PENTAGONAL NUMBERS JUST AS IN FIGURE 3.2. KNOW HOW TO FIND PYTHAGOREAN TRIPLES. KNOW THE FIRST 6 PERFECT NUMBERS. BE ABLE TO SHOW THAT A TW0-DIGIT NUMBER IS NOT PERFECT. KNOW THE GEOMETRY PROBLEMS THAT ARE LISTED IN ASSIGNMENT 9 on the ASSIGNMENT PAGE. KNOW HOW TO USE MAYAN NUMERATION TO REPRESENT WHOLE NUMBERS. KNOW HOW TO CONVERT FROM ONE NON-DECIMAL BASE TO ANOTHER NON-DECIMAL BASE. KNOW THE SHORTCUT TO PERFORM CONVERSIONS AMONG THE BASES 2, 4, 8, 16.
BRING A RULER, COMPASS, PENCIL AND ERASER. NO CALCULATORS ARE ALLOWED. NO SCRATCH PAPER WILL BE NEEDED.
EACH STUDENT MAY BRING TWO 8.5 INCH BY 11 INCH SHEETS OF PAPER WITH ANYTHING THEY WANT WRITTEN ON THE FOUR SIDES.