Date | Class Topic | Section in Rogawski/Adams |
1/21 | Course Intro -- Areas and distances | 5.1 |
1/22 | Areas and distances | 5.1 |
1/24 | Riemann sums and the definite integral | 5.2 |
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1/27 | Riemann sums and the definite integral | 5.2 |
1/28 | The indefinite integral | 5.3 |
1/29 | FTC, "part II" | 5.5 |
1/31 | The evaluation theorem for integrals (FTC, "part I") -- Problem Set 1 due | 5.4 |
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2/3 | Net change equals integral of rate of change | 5.6 |
2/4 | Integrals by substitution | 5.7 |
2/5 | Substitution and additional transcendental functions | 5.8 |
2/7 | Integration by parts -- Problem Set 2 due | 7.1 |
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2/10 | More integrals by parts | 7.1 |
2/11 | Trigonometric integrals | 7.2 |
2/12 | Trigonometric substitutions | 7.3 |
2/14 | More on trigonometric substitutions -- Problem Set 3 due | 7.3 |
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2/17 | Partial fractions | 7.5 |
2/18 | More on partial fractions | 7.5 |
2/19 | Spare day -- Review for Exam I | |
2/21 | Exam I | Covers material on Problem Sets 1 - 3 |
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2/24 | Tables of integrals | 7.6 |
2/25 | Improper integrals | 7.7 |
2/26 | Approximate numeral integration--Midpoint and Trapezoidal rules | 7.9 |
2/28 | Lab 1: Approximate integration -- Simpson's rule -- Problem Set 4 due | 7.9 |
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3/2,3,4,6 | No class -- Spring break | |
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3/9 | Areas between curves, average value | 6.1 - 6.2 |
3/10 | Volumes by slicing | 6.2 |
3/11 | Solids of revolution | 6.3 |
3/13 | Arc length of curves -- Problem Set 5 due | 8.1 |
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3/16 | Applications to probability | 7.8 |
3/17 | More probability applications | 7.8 |
3/18 | Modeling with differential equations, separable equations | 9.1 |
3/20 | Exponential growth and decay -- Problem Set 6 due | 5.9, 9.2 |
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3/23 | Direction fields | 9.3 |
3/24 | Lab 2: Slope fields and Euler's Method | 9.3 |
3/25 | Spare day -- Review for Exam II | |
3/27 | Exam II | Covers material from Problem Sets 4 - 6 |
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3/30 | Logistic models | 9.4 |
3/31 | Lab 3: Logistic models of population growth | 9.4 |
4/1 | Lab 3: continued | 9.4 |
4/3 | First order linear equations -- Problem Set 7 due | 9.5 |
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4/6 | Sequences of numbers | 10.1 |
4/7 | Infinite series | 10.2 |
4/8 | Convergence of series with positive terms; integral test | 10.3 |
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4/10, 13 | No Class -- Easter break | |
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4/14 | Comparison tests | 10.3 |
4/15 | Absolute and conditional convergence; alternating series | 10.4 |
4/17 | The ratio test -- Problem Set 8 due | 10.5 |
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4/20 | Taylor polynomials | 8.4 |
4/21 | Power series, Taylor series | 10.6-10.7 |
4/22 | No Class -- Academic Conference | |
4/24 | Lab 4: Visualizing convergence of Taylor series -- Problem Set 9 due | 10.7 |
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4/27 | Applications of Taylor series | 10.7 |
4/28 | More applications of Taylor series | 10.7 |
4/29 | Spare day -- Review for Exam III | |
5/1 | Exam III | Covers material from Problem Sets 7 - 9 |
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5/4 | Course wrap-up | |
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The final exam for this course will be given at the established time for MTWF 8:00am classes -- 3:00pm on Thursday, May 7.
Last modified: January 2, 2020