# Course Schedule & Activities

## Using the course schedule

The course schedule gives the chronology of the course as taught by Prof. Alex Himonas at the University of Notre Dame in Fall 2008. The Section column refers to the sections in the course textbook. The Topic column indicates what material is covered in the corresponding section. Some topics include links to interactive applets. These applets allow students or instructors to interactively explore the course. These applets were developed independent of this course so occasionally their sequence does not agree with the course schedule. The Calculus Applets page shows the applets in the chronology intended by their authors. The Activity column provides links to the in-class activity worksheets that Prof. Himonas uses in his classes. The Notes/Homework column indicates which homework problems from the textbook are assigned, or - if no homework is assigned - what other events are approaching such as exams.

Textbook:* Calculus: Ideas and Applications* (ISBN 0471654957), by Alex Himonas and Alan Howard.

## Course Schedule Information

Lesson | Section(s) | Topic (w/ interactive applets) | Activity | Notes / Homework |

1 | 0.2 0.3 |
Functions Geometric Properties of Functions |
Act. 1 (806.4 kB) |
0.2: 3,5,10,28,33,34,37,41 0.3: 6,8,17,18,29,40 |

2 | 0.4 0.5 |
Linear Functions Quadratic Functions |
Act. 2 (424.7 kB) |
0.4: 6,15,18,25,26,31,34 0.5: 1,6,9,14,22 |

3 | 0.6 | Polynomials, Rational Functions, Power Functions | Act. 3 (247.0 kB) |
0.5: 26, 27 0.6: 1, 2, 5, 8,13,19, 36 37, 40 |

4 | 1.1 | (Informal) Limits | Act. 4 (1.2 MB) |
1.1: 9, 10, 15, 21, 24, 30, 32, 39, 40, 43 |

5 | 1.1 1.2 |
(Informal) Limits More about Limits and Asymptotes |
Act. 5 (442.1 kB) |
1.1: 1, 2, 4, 46, 49, 56 1.2: 2, 3, 8, 13 |

6 | 1.2 1.3 |
More about Limits and Asymptotes (Informal) Continuity |
Act. 6 (454.8 kB) |
1.2: 19, 24, 26, 32, 35, 37 1.3: 1, 4, 6, 10, 11 |

7 | 1.3 | (Formal) Continuity | Act. 7 (255.6 kB) |
1.2: 39, 43 1.3: 13, 15, 16, 22, 28, 29, 39, 42 |

8 | 2.1 | Exponential Functions | Act. 8 (240.2 kB) |
1.3: 46, 48, 50 2.1: 3, 4, 12, 17, 23, 29 2.2: 5, 6 |

9 | 2.2 | Compound Interest and the Number e |
Act. 9 (68.4 kB) |
2.1: 31, 33 2.2: 3, 4, 7, 9, 10, 13, 20 |

10 | Review | Exam 1 tomorrow | ||

11 | 2.3 | Logarithmic Functions | Act. 10 (77.2 kB) |
2.3: 1, 5, 8, 18, 25, 34, 37, 38 Ch 2 Rev (p. 157): 2, 3 |

12 | 2.4 | Natural Logarithm and Applications | Act. 11 (77.1 kB) |
2.4: 1, 4, 16, 33, 35, 39, 43, 58, 66, 67 |

13 | 3.1 | The Slope of a Graph | Act. 12 (78.7 kB) |
2.4: 72, 76 3.1: 1, 2, 3, 4, 9, 16, 19, 25, 34 |

14 | 3.2 | The Derivative of a Function | Act. 13 (78.5 kB) |
3.2: 2, 10, 13, 15, 21, 23, 27, 30, 36, 40, 49 |

15 | 3.3 | The Derivative as a Rate | Act. 14 (54.9 kB) |
3.2: 52a, 55 3.3: 3, 5, 6, 7, 12 |

16 | 3.3 | The Derivative as a Rate | Act. 15 (66.3 kB) |
3.3: 16, 17, 18, 19, 24, 25, 29, 33, 38, 40, 44, 45 |

17 | 3.4 | Differentiability and Linear Approximation | Act. 16 (71.8 kB) |
3.3: 39 3.4: 1, 4b, 6b, 19, 20, 21, 29, 38, 41 |

18 | 3.5 | Derivatives of Log and Exp | Act. 17 (71.2 kB) |
3.4: 45, 47 3.5: 4, 5, 8, 12, 15, 25, 28, 31, 33, 49 |

19 | 3.6 | Product and Quotient Rules | Act. 18 (68.2 kB) |
3.5: 55, 58, 62, 63, 66 3.6: 1, 5, 7, 12, 13, 18 |

20 | 3.7 | Chain Rule | Act. 19 (73.2 kB) |
3.6: 23, 30, 31 3.7: 1, 5, 10, 18, 26, 32, 39, 44, 47, 52 |

21 | Review | Exam 2 tomorrow | ||

22 | 3.8 | Implicit Differentiation and Related Rates | Act. 20 (77.0 kB) |
3.7: 3, 13, 51 3.8: 7, 8, 10, 13 |

23 | 4.1 | First Derivative Test | Act. 21 (84.0 kB) |
3.8: 16, 17, 21, 22, 29 4.1: 3, 4, 6, 11, 17, 19 |

Mid-term Break | ||||

24 | 4.1 | First Derivative Test | Act. 22 (51.2 kB) |
4.1: 23, 25, 26, 27, 28, 32, 35, 41, 48, 53 |

25 | 4.2 | Second Derivative Test (Concavity) | Act. 23 (61.2 kB) |
4.1: 55, 59, 63 4.2: 1, 2, 5, 9, 14, 16, 19 |

26 | 4.2 | Second Derivative Test (Local max/min) | Act. 24 (55.7 kB) |
4.2: 22, 27, 32, 33, 39, 40, 42, 46, 48 |

27 | 4.3 | Sketching Graph | Act. 25 (51.7 kB) |
4.3: 1, 4, 7, 11, 16, 20, 21, 25, 29, 32 |

28 | 4.4 | Optimization and Applications | Act. 26 (52.8 kB) |
4.3: 15, 19, 34 4.4: 1, 4, 6, 9 |

29 | 4.4 4.5 |
Optimization and Applications Applied Optimization Problems |
Act. 27 (53.1 kB) |
4.4: 13, 15, 19, 21, 28, 31 4.5: 1, 2, 4, 9, 11 |

30 | 4.5 | Applied Optimization Problems | Act. 28 (47.4 kB) |
4.5: 12, 15, 19, 23, 25, 28, 29 |

31 | 5.1 | The Definite Integral | Act. 29 (64.6 kB) |
5.1: 1, 2, 7, 8, 14, 15, 18, 19 , 27, 35, 37, 41 |

32 | 5.1 5.2 |
The Definite Integral Integration by Substitution |
Act. 30 (59.2 kB) |
5.1: 46, 49, 53, 55, 62, 63, 70, 76 5.2: 1, 4, 10 |

33 | 5.2 | Integration by Substitution | Act. 31 (36.8 kB) |
5.2: 15, 18, 19, 23, 28, 39, 41 |

34 | 5.3 | Integration by Parts and Partial Fraction Decomposition | Act. 32 (49.2 kB) |
5.3: 1, 2, 3, 7, 8, 9, 14, 15, 18, 31, 32 |

35 | Review | Exam 3 tomorrow | ||

36 | 5.4 | Area and Definite Integral | Act. 33 (104.3 kB) |
5.3: 41, 55, 59, 71 5.4: 1, 2, 3, 4, 6, 7 |

37 | 5.4 5.5 |
Area and Definite Integral The Fundamental Theorem of Calculus |
Act. 34 (83.3 kB) |
5.4: 15, 19, 23, 25, 33 5.5: 9, 17, 26, 32, 36 |

38 | 5.5 5.6 |
The Fundamental Theorem of Calculus Computing Definite Integrals, Areas, and Averages |
Act. 35 (61.9 kB) |
5.5: 47, 56, 57 5.6: 3, 10, 15 |

39 | 5.6 5.7 |
Computing Definite Integrals, Areas, and Averages Numerical Methods |
Act. 36 (80.9 kB) |
5.6: 17, 21, 33, 36, 48 5.7: 3a (no error), 8, 9, 17 |

40 | Final Exam Review | Projects Due | ||

41 | Final Exam Review | Final tomorrow |