Date | Class Topic | Reading (Stewart) |
1/16 | Areas and distances (review) | 5.1 |
1/18 | The definite integral | 5.2 |
1/21 | No class -- Martin Luther King Day | 5.3 |
1/22 | The evaluation theorem for integrals | 5.3 |
1/23 | Integrals and net change | 5.3 |
1/25 | The Fundamental Theorem of Calculus | 5.4 |
1/28 | More on the Fundamental Theorem | 5.4 |
1/29 | Integrals by substitution | 5.5 |
1/30 | More on substitution | 5.5 |
2/1 | Integration by parts | 5.6 |
2/4 | More integrals by parts | 5.6 |
2/5 | Trigonometric integrals | 5.7 |
2/6 | Trigonometric substitutions | 5.7 |
2/8 | Integration by partial fractions | 5.7 |
2/11 | Tables of integrals | 5.8 |
2/12 | Approximate integration -- midpoint and trapezoidal rules | 5.9 |
2/13 | Lab 1: Approximate integration -- Simpson's rule | 5.9 |
2/15 | Improper integrals | 5.10 |
2/18 | Areas between curves | 6.1 |
2/19 | Review for Exam 1 | |
2/20 | Volumes by slicing | 6.2 |
Exam I given 6:00 - 7:30pm, location TBA | ||
2/22 | More on volumes by slicing | 6.2 |
2/25 | Arc length of curves | 6.3 |
2/26 | Average value of functions | 6.4 |
2/27 | Applications to probability | 6.7 |
2/29 | More probability applications | 6.7 |
3/3,4,5,7 | No class -- Spring break | |
3/10 | Modeling with differential equations | 7.1 |
3/11 | Direction fields | 7.2 |
3/12 | Lab 2: Slope fields and Euler's Method | 7.2 |
3/14 | Separable equations | 7.3 |
3/17 | Exponential growth and decay | 7.4 |
3/18 | More on exponential growth and decay | 7.4 |
3/19 | Logistic models of growth | 7.5 |
3/21,24 | No Class -- Easter break | |
3/25 | Review for Exam 2 | |
3/26 | Lab 3: Logistic models of population growth | 7.5 |
Exam II given 6:00 - 7:30pm, location TBA | ||
3/28 | Lab 3: continued | 7.5 |
3/31 | Sequences of numbers | 8.1 |
4/1 | Infinite series | 8.2 |
4/2 | More on convergence of series | 8.2 |
4/4 | Integral test for convergence | 8.3 |
4/7 | Comparison tests | 8.3 |
4/8 | Alternating series, absolute convergence | 8.4 |
4/9 | The ratio test | 8.4 |
4/11 | Power series, radius of convergence | 8.5 |
4/14 | Spare day | 8.5 |
4/15 | Representing functions by power series | 8.6 |
4/16 | Taylor and Maclaurin series | 8.7 |
4/18 | Lab 4: Visualizing convergence of Taylor series | 8.7 |
4/21 | The binomial series | 8.8 |
4/22 | Review for Exam 3 | |
4/23 | Taylor's Theorem and approximations | 8.9 |
Exam III given 6:00 - 7:30pm, location TBA | ||
4/25 | Further applications of Taylor series | 8.9 |
4/28 | Spare day | |
4/29 | Course wrap-up |
The final exam for this course will be given at 2:30 p.m. on Thursday, May 8.
Last modified: December 31, 2007