Welcome to AP Calculus C with Multivariate and Vector Calculus.

In these course pages you will find the course syllabus and a weekly schedule of assignments. Additionally, I will post fundamental definitions, axioms, theorems or interesting ideas developed in class. Remember that the class notes will be the most comprehensive and your primary reference.

Click here in order to view the course syllabus.

Daily assignments are listed below. Assignments can be added, deleted or modified as appropriate. Please note that there will be a quiz given each week, but may not be announced!

Day |
Assignment |

1 | Meet and Greet – Course Bureaucracy |

2 | Day 1 continued: Begin AP Calculus AB Review – Limits |

3 | AB Review – Limits and Differential Calculus |

4 | AB Review – Differential and Integral Calculus |

5 | AB Review – Integral Calculus |

6 | Review Test – This will serve as a diagnostic for me and you. It will not be recorded for a grade; however, you will have to do corrections that will count as a homework grade. HW: Read 7.1-7.2 and try to reproduce a few of the examples in the book. |

7 | Brief LaTeX introduction & Integration Techniques: 7.1-7.6 develops your ability to integrate by hand. In class, we will work in groups to solve integrals utilizing these techniques. HW: 7.1; 18-26e, 34,36,38,44,72, 79-80 and 7.2; 10,12,16,20,30, 56, 83-85 |

8 | Integration Techniques: 7.3 Trigonometric Integrals. HW: 7.3; 4,8,12, 14, 22,26,32, 42,46,52,58, 78,82, 88 |

9 | Integration Techniques: 7.4 Trigonometric Substitution. HW: 7.4; 20-42e, 69-73 |

10 | Integration Techniques: 7.5 Partial Fractions. HW: 7.5; 12,14,18, 20,24, 46,48, 52-54 |

11 | Review Integration Techniques. HW: Study for Test |

12 | Test: Integration Techniques |

13 | L’Hopital’s Rule HW: 7.7; 12-30e, 63-66, 68 |

14 | L’Hopital’s Rule day 2 |

15 | Improper Integrals HW: 7.8; 10,12,14,22, 24,26,30, 50-56e |

16 | Improper Integrals HW: 7.8; 61,62, 71-74 |

17 | Improper Integrals. Wrap-up |

18 | Indulgence: Modeling |

19 | Indulgence: Modeling |

20 | Indulgence: Modeling |

21 | Parametric Equations: Projectile Motion HW: Reproduce the derivation from class |

22 | Parametric Equations: Alternative Unit Circle Parameterization HW: Reproduce the derivation from class |

23 | Parametric Equations: Cycloid HW: Reproduce the derivation from class |

24 | Parametric Equations, Position Vectors & Plane Curves: Cycloid HW: Reproduce the arguments from class |

25 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |

26 | Parametric Equations. Tangent Lines and Arc Length of Plane Curves HW: 9.3; 2,6,8,10, 11, 14,15, 31,34,36 |

27 | Polar Coordinates and Polar Equations. HW: 9.4; 2-80e |

28 | Area and Arc Length in Polar. HW: 9.5; 2-36e |

29 | Parametric Equations and Polar System Review Questions. HW: pg.696-697: 24,26,30,32,42, 46-52e, 54-70e, 85-88 |

30 | 3-Space. HW: 10.2; 2-32e |

31 | Vectors. HW: 10.1; 2-30e |

32 | Vectors. HW: 10.1; 32-60e |

33 | Vectors. HW: 10.2; 38-68e |

34 | Vectors: Dot Product. HW: 10.3; 2-30e, 31,32, 65-68 |

35 | Vectors: Cross Product. HW: 10.4; 2-36e |

36 | Lines and Planes in Space. HW: 10.5; 4,6, 10, 12, 13,14, 16,17 |

37 | Lines and Planes in Space. HW: 10.5; 22, 24,25,28, 30,31,34,36,40 |

38 | Lines and Planes in Space. HW: 10.5; 44,46, 58, 60,61, 64, 66, 68, 77,78 |

39 | Surfaces in Space. I have decided to postpone this until we start multivariate functions after we finish our study of sequences and series. HW: 10.6; 1-6, 10-16e, 41,43,44, |

40 | Vector-Valued Functions. HW: 11.1; 4-8e, 10,12, 14, 15, 17-20, 24-30e |

41 | Vector-Valued Functions. HW: 11.1; |

42 | Vector-Valued Functions. HW: 11.2; 2-30e |

43 | Vector-Valued Functions. HW: 11.2; 32-64e |

44 | Vector-Valued Functions. HW: 11.3; 2-26e |

45 | Vector-Valued Functions. HW: 11.3; 28-50e |

46 | Vector-Valued Functions. HW: 11.4; 1-12 |

247 | Vector-Valued Functions. HW: 11.5; 1-6, 13, 15,17, 22, 26,30,34, 62 |

48 | Vector-Valued Functions. HW: 11.4; 18-22e, 23-26, 29, 37, 49-52 |

49 | Review Vectors, Vector Operations and Vector Valued Functions. HW: |

50 | Test. HW: 9.2; 4-32e, 63,64 |

51 | Sequences. HW: 8.1; 2-46e |

52 | Sequences. HW: 8.1; 54-80e |

53 | Sequences. HW: |

54 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |

55 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |

56 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |

57 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |

58 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |

59 | Parametric Equations. HW: 9.2; 4-32e, 63,64 |