Date | Class Topic | Reading (Stewart) |
1/21 | Course Intro -- Areas and distances | 5.1 |
1/22 | Areas and distances | 5.1 |
1/24 | Areas and distances | 5.1 |
1/27 | Riemann sums and the definite integral | 5.2 |
1/28 | More on the definite integral | 5.2 |
1/29 | The evaluation theorem for integrals | 5.3 |
1/31 | Integrals and net change -- Problem Set 1 due | 5.3 |
2/3 | The Fundamental Theorem of Calculus | 5.4 |
2/4 | More on the Fundamental Theorem | 5.4 |
2/5 | Integrals by substitution | 5.5 |
2/7 | More on substitution -- Problem Set 2 due | 5.5 |
2/10 | Integration by parts | 5.6 |
2/11 | More integrals by parts | 5.6 |
2/12 | Trigonometric integrals | 5.7 |
2/14 | Trigonometric substitutions -- Problem Set 3 due | 5.7 |
2/17 | Integration by partial fractions | 5.7 |
2/18 | More on partial fractions | 5.7 |
2/19 | Spare day -- Review for Exam I | |
2/21 | Exam I | Covers material on Problem Sets 1 - 3 |
2/24 | Tables of integrals | 5.8 |
2/25 | Approximate integration -- midpoint and trapezoidal rules | 5.9 |
2/26 | Lab 1: Approximate integration -- Simpson's rule | 5.9 |
2/28 | Improper integrals -- Problem Set 4 due | 5.10 |
3/3,4,5,7 | No class -- Spring break | |
3/10 | Areas between curves | 6.1 |
3/11 | Volumes by slicing | 6.2 |
3/12 | More on volumes by slicing | 6.2 |
3/14 | Arc length of curves -- Problem Set 5 due | 6.3 |
3/17 | Average value of functions | 6.4 |
3/18 | Applications to probability | 6.7 |
3/19 | More probability applications | 6.7 |
3/21 | Modeling with differential equations -- Problem Set 6 due | 7.1 |
3/24 | Direction fields | 7.2 |
3/25 | Lab 2: Slope fields and Euler's Method | 7.2 |
3/26 | Spare day -- Review for Exam II | |
3/28 | Exam II | Covers material from Problem Sets 4 - 6 |
3/31 | Separable equations | 7.3 |
4/1 | Exponential growth and decay | 7.4 |
4/2 | More on exponential growth and decay | 7.4 |
4/4 | Logistic models of growth -- Problem Set 7 due | 7.5 |
4/7 | Lab 3: Logistic models of population growth | 7.5 |
4/8 | Lab 3: continued | 7.5 |
4/9 | Sequences of numbers | 8.1 |
4/11 | Infinite series -- Problem Set 8 due | 8.2 |
4/14 | More on convergence of series | 8.2 |
4/15 | Integral test for convergence | 8.3 |
4/16 | More on convergence tests | 8.3 |
4/18, 21 | No Class -- Easter break | |
4/22 | Alternating series, absolute convergence | 8.4 |
4/23 | The ratio test | 8.4 |
4/25 | Power series, radius of convergence -- Problem Set 9 due | 8.5 |
4/28 | Representing functions by power series | 8.6 |
4/29 | Lab 4: Visualizing convergence of Taylor series | 8.7 |
4/30 | Spare day -- Review for Exam III | |
5/2 | Exam III | Covers material from Problem Sets 7 - 9 |
5/5 | Course wrap-up |
The final exam for this course will be given at the established time for MWF 8:00am classes.
Last modified: January 3, 2014