Lecture | Date | Topic
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1 | Tue 8/28 | Basic properties of real numbers
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2 | Thu 8/30 | Rational and irrational numbers
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3 | Tue 9/4 | Principle of mathematical induction
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4 | Thu 9/6 | Functions
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--- | Tue 9/11 | No class
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5 | Thu 9/13 | Functions (cont.)
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--- | Tue 9/18 | No class
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6 | Thu 9/20 | Graphs
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7 | Tue 9/25 | Graphs (cont.)
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8 | Thu 9/27 | Polar coordinates
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9 | Tue 10/2 | Limits
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10 | Thu 10/4 | Limits (cont.)
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11 | Tue 10/9 | Continuous functions
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12 | Thu 10/11 | Three basic theorems on continuous functions
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13 | Tue 10/16 | Workshop I
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14 | Thu 10/18 | Midterm I
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15 | Tue 10/23 | Least upper bounds and completeness of $\mathbb R$
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16 | Thu 10/25 | Proofs of the three basic theorems
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17 | Tue 10/30 | Derivatives
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18 | Thu 11/1 | Derivatives (cont.)
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19 | Tue 11/6 | Differentiation rules
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20 | Thu 11/8 | Differentiation rules (cont.)
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21 | Tue 11/13 | Workshop II
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22 | Thu 11/15 | Midterm II
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23 | Tue 11/20 | Critical points and extrema
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--- | Thu 11/22 | No class
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24 | Tue 11/27 | The mean value theorem
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25 | Thu 11/29 | Further applications of the derivative
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26 | Tue 12/4 | Convexity
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27 | Thu 12/6 | Inverse functions
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28 | Tue 12/11 | Workshop III
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