Syllabus

Homework Assignments

Quiz Topics

Exam Info

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Review Questions on Precalculus Material

Solutions to Review

Class Date | Section | Word List |
---|---|---|

Aug. 27 | 2.1-2.2 | informal definition of the limit of a function (pg. 66) |

Aug. 30 | 2.2, 2.4 | one-sided limits (pg. 71), vertical asymptotes, formal definition of the limit of a function |

Sep. 1 | 2.4 | no words: look over the formal definition of the limit of a function and think about questions you have |

Sept. 3 | 2.3 | limit laws |

Sept. 6 | 2.5 | continuous at a number, continuous on an interval, intermediate value theorem |

Sept. 8 | 3.1 | instantaneous velocity, secant line, derivative of a function at a number |

Sept. 10 | 3.2/3.3 | differentiable at a point, differentiable on an interval, second derivative, derivative of a constant, power rule |

Sept. 13 | 3.3 | constant multiple rule, sum rule, product rule, quotient rule |

Sept. 15 | 3.4 | derivative of trig functions |

Sept. 17 | 3.5 | the chain rule, review composition of functions |

Sept. 20 | 3.6 | implicit differentiation |

Sept. 22 | Exam 1 | |

Sept. 24 | 3.7 | average rate of change, instantaneous rate of change, velocity, acceleration |

Sept. 27 | 3.8 | strategy for related rates problems (pg. 185) |

Sept. 29 | 4.1 | absolute maximum/minimum, local maximum/minimum, Extreme Value Theorem, critical number |

Oct. 1 | 4.2/4.3 | Mean Value Theorem, increasing/decreasing test, first derivative test |

Oct. 4 | 4.3 | concave upward, concave downward, second derivative test, inflection point |

Oct. 6 | 4.4 | horizontal asymptote, precise definition of infinite limit (pg 237) |

Oct. 8 | 4.5 | even function, odd function, period, slant asymptotes |

Oct. 11 | 4.7 | steps to solve optimization problems (pg 256-257) |

Oct. 13 | 4.7 | no word: review optimization problems more |

Oct. 15 | 5.1 | area of a region that lies under the graph of a continous function (pg. 294), sigma notation |

Oct. 25 | 5.2 | Riemann sum, summation rules (boxes 5 through 11 pg. 303) |

Oct. 27 | Exam 2 | |

Oct. 29 | 5.2 | definite integral of a function from a to b, integrand, properties of the integral (pg. 307), comparison properties of the integral (pg. 309) |

Nov. 1 | 5.3, 4.9 | Fundamental Theorem of Calculus, part I and II, antiderivative |

Nov. 3 | 7.1, 7.2 | one-to-one function, inverse function, exponential function, properties of exponential functions (pg 394), definition of the number e |

Nov. 5 | 7.2, 7.3, 7.4 | derivative of exponential functions, logarithmic function with base a, logarithmic function with base e, derivative of log function |

Nov. 8 | 7.4, 7.6 | Logarithmic Differentiation, inverse sin, inverse cos, inverse trig functions |

Nov. 10 | 7.6 | derivatives of inverse trig functions |

Nov. 12 | 5.5 | substitution rule, recap: chain rule for derivatives |

Nov. 15 | 5.5, 8.1 | recap: even function, odd function, forumlae for integration by parts (box 1 and 2 pg 489), recap: the product rule of derivatives |

Nov. 17 | 8.1 | integral of ln x (pg. 490), recap: integration by parts (box 1 and 2 pg 489) |

Nov. 19 | 6.1 | area of the region bounded by two curves |

Nov. 22 | Exam 3 | |

Nov. 29 | 6.2 | volume of a solid, solids of revolution |

Dec. 1 | 6.2/6.3 | volume with cross-section a washer (pg. 358), volume of a cylinder, method of cylindrical shells (pg. 366) |

Dec. 3 | 6.5 | average value of a function |

Dec. 6 | 7.5 | exponential growth and decay |

Dec. 8 | 7.8 | indeterminate forms, L'Hôpital's Rule |

Dec. 10 | no word: think about review questions |

HW | Due date | Turn In Problems | Additional Problems |
---|---|---|---|

# 0 | Aug. 29 | Email 1.3: 34, 40, 54 |
1.3: 35, 39, 55 |

# 1 | Aug. 31 | 1.3: 44, 48, 50 2.1: 2 2.2: 2, 6, 12 |
1.3: 43, 49 2.1: 1 2.2: 1, 7, 13 |

# 2 | Sep. 2 | 2.2: 8, 10, 28 2.4: 2 |
2.2: 9, 27, 29 2.4: 1 |

# 3 | Sep. 5 | 2.2: 14, 32, 40 2.4: 4 2.3: 4, 8 |
2.2: 15, 25 2.4: 3, 7 2.3: 3, 9 |

# 4 | Sep. 7 | 2.3: 6, 12, 16, 28 2.5: 4, 6, 8 |
2.3: 5, 11, 15, 29 2.5: 2, 3, 5 |

# 5 | Sep. 9 | 2.3: 22, 30 2.5: 10, 16 3.1: 4a(ii only) and b |
2.3: 25, 27 2.5: 11, 17 3.1: 3a(ii only) and b |

# 6 | Sep. 12 | 2.5: 20 3.1: 8, 26, 32, 46 3.2: 2, 10, 12 3.3: 2 |
2.5: 19 3.1: 7, 25, 31, 47 3.2: 1, 5, 9 3.3: 1 |

# 7 | Sep. 14 | 3.1: 48 3.2: 22, 24, 36 3.3: 6, 8, 12, 18, 22, 24 |
3.1: 49 3.2: 17, 21, 25, 35 3.3: 5, 7, 11, 19, 23, 25 |

# 8 | Sep. 16 | 3.2: 26, 40 3.3: 30, 34, 40, 56 (tangent line only) 3.4: 4, 8, 10 |
3.2: 27, 39 3.3: 31, 33, 39, 53 (tangent line only) 3.4: 3, 7, 11 |

# 9 | Sep. 19 | 3.3: 60, 64 3.4: 12, 14, 16, 30, 32 |
3.3: 59, 63 3.4: 11, 13, 15, 29 |

# 10 | Sep. 23 | 3.5: 6, 10, 12 | 3.5: 3, 9, 11 |

# 11 | Sep. 26 | 3.5: 18, 20, 24, 34 3.6: 4, 8, 14 3.7: 20 |
3.5: 17, 19, 25, 35 3.6: 3, 7, 13 3.7: 21 |

# 12 | Sep. 28 | 3.5: 26, 28, 40 3.6: 10, 16, 18, 26 3.7: 28 |
3.5: 27, 29, 45 3.6: 9, 17, 19, 25 3.7: 27 |

# 13 | Sep. 30 | 3.6: 34, 40 3.7: 32 3.8: 4, 10 4.1: 4, 8 |
3.6: 35, 41 3.7: 31, 33 3.8: 3, 11 4.1: 3, 9 |

# 14 | Oct. 3 | 3.8: 6, 16, 18 4.1: 30, 34, 48, 52 4.2: 2, 6, 12 |
3.8: 15, 21 4.1: 31, 35, 49 4.2: 3, 5, 11 |

# 15 | Oct. 5 | 3.8: 28 4.1: 38, 50 4.2: 14 4.3: 2, 6, 10, 14 |
3.8: 33 4.1: 41, 51 4.2: 13 4.3: 1, 7, 9, 13 |

# 16 | Oct. 7 | 4.3: 16, 18, 20, 30, 40 4.4: 4, 10, 14, 22 |
4.3: 15, 17, 21, 29, 33 4.4: 3, 9, 13, 19 |

# 17 | Oct. 10 | 4.3: 28 4.4: 12, 16, 54 4.5: 22, 38 |
4.3: 27 4.4: 11, 17, 53 4.5: 21, 37 |

# 18 | Oct. 12 | 4.5: 24, 44 4.7: 6, 12 |
4.5: 45 4.7: 5, 13 |

# 19 | Oct. 14 | 4.7: 18, 24, 32 | 4.7: 17, 23, 33 |

# 20 | Oct. 24 | 4.7: 34, 52, 58 | 4.7: 31, 47 |

# 21 | Oct. 31 | 5.1: 2, 4, 12, 16, 18 5.2: 2, 8, 18 |
5.1: 1, 3, 13, 15, 17 5.2: 3, 7, 19 |

# 22 | Nov. 2 | 5.1: 20 5.2: 4, 22, 30, 40, 44 5.3: 2 |
5.2: 5, 21, 29, 39, 45 5.3: 3 |

# 23 | Nov. 4 | 5.2: 24 5.3: 8, 10, 22 4.9: 4, 16, 18, 28 |
5.2: 23 5.3: 7, 9, 21 4.9: 3, 15, 21, 27 |

# 24 | Nov.7 | 4.9: 24, 36, 44 5.3: 26, 32, 34 7.1: 4, 12, 20, 24 |
4.9: 13, 33, 43 5.3: 31, 33 7.1: 3, 11, 25 |

# 25 | Nov. 9 | 5.3: 36, 38, 56 7.1: 22, 32 7.2: 32, 34, 44, 64 7.3: 6, 12, 16 |
5.3: 35, 37, 55 7.1: 21, 31 7.2: 31, 35 45, 63 7.3: 7, 11, 15 |

# 26 | Nov. 11 | 7.2: 38, 50, 66, 84 7.3: 8, 26, 34, 44 7.4: 6, 8, 10, 16 |
7.2: 39, 49, 65 7.3: 5, 27, 33, 43 7.4: 5, 7, 11, 15 |

# 27 | Nov. 14 | 7.4: 18, 22, 24, 42, 48 7.6: 2, 8, 12, 24, 32 |
7.4: 19, 21, 23, 41, 47 7.6: 1, 7, 11, 23, 31 |

# 28 | Nov. 16 | 7.4: 52 7.6: 26, 62, 66 5.5: 4, 6, 8, 18, 26, 36 |
7.4: 51 7.6: 25, 61, 67 5.5: 3, 5, 7, 17, 19, 25, 35 |

# 29 | Nov. 18 | 5.5: 20, 30, 38, 44, 48 7.4: 74, 78 7.6: 58, 64, 70 |
5.5: 21, 27, 29, 37, 39, 47 7.4: 75, 79 7.6: 57, 63, 69 |

# 30 | Nov. 28 | 8.1: 4, 6, 10, 18, 28 | 8.1: 1, 5, 9, 13, 25 |

# 31 | Nov. 30 | 8.1: 20, 22 6.1: 6, 14, 18, 20, 32 |
8.1: 17, 23 6.1: 5, 11, 19, 25, 31 |

# 32 | Dec. 2 | 6.1: 4, 30, 48 6.2: 4, 6, 8, 10, 14 |
6.1: 17, 21, 29 6.2: 3, 5, 7, 9, 13 |

#33 | Dec. 5 | 6.2: 16, 30, 36, 56, 60 6.3: 2, 6, 10, 16 |
6.2: 15, 17, 29, 35, 57, 61 6.3: 1, 5, 11, 17 |

# 34 | Dec. 7 | 6.3: 8, 12, 18 6.5: 4, 8, 10 7.5: 4, 8(a)-(c) |
6.3: 7, 13, 19 6.5: 5, 7, 11 7.5: 3, 9 |

# 35 | Dec. 9* | 6.5: 14 7.8: 6, 18, 22, 26, 42, 52 |
6.5: 13 7.8: 5, 11, 15, 39, 45, 51 |

Quiz | Posting Date | Due Date | Section(s) |
---|---|---|---|

# 1 | Aug. 31 at 5 PM | Sep. 1 at 11:59 PM | diagnostic test (xxiv-xxviii) and 1.3 |

# 2 | Sep. 7 | Sep. 8 | 2.1, 2.2, 2.4 (formal definition of limit and epsilon-delta from pictures only) |

# 3 | Sep. 14 | Sep. 15 | 2.3, 2.5 (basic definition of continutity only), 3.1-3.2 |

# 4 | Sep. 28 | Sep. 29 | 3.5, 3.6 |

# 5 | Oct. 5 | Oct. 6 | 3.7, 4.1, 4.2 |

# 6 | Oct. 12 | Oct. 13 | 3.8, 4.3, 4.4 |

# 7 | Nov. 9 | Nov. 10 | 4.9, 5.3, 7.1, 7.2 |

# 8 | Nov. 16 | Nov. 17 | 7.3, 7.4, 7.6 |

# 9 | Nov. 30 | Dec. 1 | 8.1 |

#10 | Dec. 7 | Dec. 8 | 6.1, 6.2, 6.3 |

Exam 2 Review Solutions

Exam 3 Review Solutions

Final Exam Review Solutions