# AP Calculus C

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.

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