Instructors: Brian Mintz, Alice Schwarze, Jack Petok.
Course on canvas.dartmouth.edu.⇗
Syllabus
Lectures | Sections in Text | Brief Description | ||||
NO LECTURES WEEK 1 | ||||||
WEEK 2 1/9-1/13 |
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1 | 1.1, 1.2 | Introduction; review of functions | ||||
2 | 1.2, 1.3, 1.4, 1.5 | More review of functions: inverse functions, trig functions, exponential and logarithmic functions | ||||
3 | 2.1-2.2 | A preview of calculus; the limit of a function | ||||
4 | 2.2-2.3 | More on limits basic limit laws | ||||
Week 3 1/17-1/20 |
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5 | 2.4 | Continuity | ||||
6 | 2.5 | The precise definition of a limit | ||||
7 | 3.1 | The derivative of a function | ||||
Week 4 1/23-1/27 |
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8 | 3.2 | The derivative as a function | ||||
9 | 3.3 | Differentiation rules | ||||
10 | 3.4-3.5 | Derivatives as rates of change | ||||
11 | 3.6-3.7 | The chain rule; derivative of an inverse | ||||
Week 5 1/30-2/3 |
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EXAM 1: 1/30 |
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12 | 3.8 | Implicit differentiation | ||||
13 | 3.9 | Derivatives of exponential and logarithmic functions | ||||
14 | 4.1 | Related rates | ||||
Week 6 2/6-2/10 |
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15 | 4.2 | Linear approximations and differentials | ||||
16 | 4.3 | Maxima and minima | ||||
17 | 4.4 | The mean value theorem | ||||
Week 7 2/13-2/17 |
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18 | 4.5 | Derivatives and the shape of a graph (including the second derivative test) | ||||
19 | 4.6 | Limits at infinity and asymptotes; sketching a graph using calculus | ||||
20 | 4.7 | More optimization problems | ||||
Week 8 2/20-2/24 |
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Exam 2: 2/20 |
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21 | 4.8, 4.10 | L'hÃ´pital's rule; antiderivatives | ||||
22 | 5.1-5.2 | Approximating area under a curve: Riemann sums; the definite integral | ||||
23 | 5.2 | More on the definite integral | ||||
Week 9 2/27-3/3 |
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24 | 5.3-5.4 | The fundamental theorem of calculus | ||||
25 | 5.4 | Net change theorem; integrating even and odd functions | ||||
26 | 5.5 (+5.6, 5.7) | Substitution | ||||
Week 10 | ||||||
27 | V2 3.1 | Integration by parts |