Damien Adams

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MTH 252

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Homework

There are two different textbook options you may choose in order to complete your homework. You may choose either

Select homework sets are provided below for either option you choose. The homework prompts listed are a starting point to practice the material we learned in class (or from the videos). Some people may feel they need more practice after working through these prompts, and that is great to have that self-awareness! In this case, try some of the even prompts between the assigned odd ones.

Strang and Herman’s Calculus Volume 1 and Calculus Volume 2 An image of the OpenStax logo
  • L’Hôpital’s Rule: Section 4.8: 362, 367, 369, 370, 371, 372, 375, 377, 378, 381, 385, 387, 391
  • Extrema: Section 4.3: 91, 97, 101, 107, 115, 119, 123, 127, 131, 135, 141, 145 (also Section 4.5: 221, 225, 229)
  • Optimization: Section 4.7: 311, 315, 316, 317, 319, 321, 329, 335, 353
  • Antiderivatives: Section 4.10: 467, 471, 475, 477, 479, 481, 485, 487, 491, 493, 495, 499, 503, 507, 509
  • Areas: Section 1.1: 13, 17 – 27 odd, 35, 43, 45, 49
  • The Definite Integral: Section 1.2: 61, 63, 65, 71, 75, 77, 79, 81, 89, 93, 97, 141a
  • The Fundamental Theorem of Calculus Part 1: Section 1.3: 148 – 159 all
  • The Fundamental Theorem of Calculus Part 2: Section 1.3: 171 – 189 odd; then Section 1.4: 207, 209, 211, 223, 227; then Section 1.6: 325; then Section 1.7: 393
  • Substitution: Section 1.5: 265, 267, 271 – 281 odd, 293, 295, 297; then Section 1.6: 321, 323, 329, 337, 339, 341, 355
  • Area Between Curves: Section 2.1: 1, 3, 5, 7, 11 – 25 odd, 29 – 35 odd
  • Volume: Section 2.2: 75, 79, 83, 85, 91, 95, 99, 101
  • Volume by Shells: Section 2.3: 123, 125, 133, 137, 143, 146
    • Note: The answer key is wrong for number 137: The answer is 308π/5.
  • Arc Length & Work: Section 2.4: 165, 167, 171, 173, 175, 177, 183, 185; then Section 2.5: 218 – 223 all
  • Integration by Parts: Section 3.1: 11, 13, 15, 19, 21, 27, 31, 32 (use the result from 31), 39, 43, 45, 7 (choose u = ln(x)), 9 (choose u = arctan(x))
  • Trigonometric Integrals: Section 3.2: 69, 70, 73, 79, 83, 85, 87, 113, 115
  • Partial Fraction Decomposition: Section 3.4: 197, 199, 202, 203, 205, 212, 217 (use a substitution first: u = cos(x))
  • Approximating Integrals: Section 3.6: 301, 302, 303, 307, 311, 315, 317, 319, 321, 331, 342 – 345 all
  • Improper Integrals: Section 3.7: 349 (just write the limit; don’t integrate), 351, 359, 363, 365, 377, 378, 385, 395
Stewart’s Calculus: Concepts & Contexts, 4th Edition An image of Stewart's Calculus Volume 2
  • L’Hôpital’s Rule: §4.5 (p. 296): # 1, 5, 9, 13, 17, 21, 25, 29, 33
  • Extrema: §4.2 (p. 268): # 5, 9, 35, 43, 47 & §4.3 (p. 279): # 5, 9, 23, 41
  • Optimization: §4.6 (p. 305): # 3 – 11 odd, 15, 22, 25, 35
  • Antiderivatives: §4.8 (p. 321): # 1 – 13 odd, 19 – 33 odd, 41, 43, 44
  • Areas: §5.1 (p. 341): # 1, 3, 5, 11 — 17 odd
  • The Definite Integral: §5.2 (p. 353): # 1 – 11 odd, 17, 21, 31 – 41 odd, 47
  • The Fundamental Theorem of Calculus, Part 2: §5.3 (p. 363): # 1 – 25 odd, 37, 43, 45, 51, 59, 61
  • The Fundamental Theorem of Calculus, Part 1: §5.4 (p. 372): # 3 – 15 odd, 19
  • Substitution: §5.5 (p. 381): # 3 – 15 odd, 19 – 31 odd, 41 – 49 odd, 63
  • Integration by Parts: §5.6 (p. 387): # 1 – 21 odd, 25, 27, 39, 41, 43
  • Trigonometric Integrals & Partial Fraction Decomposition: §5.7 (p. 393): # 1, 2, 3, 19a, 20a, 21, 22, 23
  • Approximating Integrals: §5.9 (p. 411): # 1, 2, 5, 15, 17, 19, 25, 27, 29
  • Improper Integrals: §5.10 (p. 421): # 1, 3, 5, 9, 13, 17, 25, 43, 45
  • Area Between Curves: §6.1 (p. 436): # 1 – 15 odd, 23, 25, 29, 41
  • Volume: §6.2 (p. 446): # 1 – 19 odd, 31, 33
  • Volume by Shells: §6.3 (p. 453): # 1 – 7 odd, 8, 13 – 19 odd, 29, 31, 35, 37
  • Arc Length & Work: §6.4 (p. 458): # 1, 3 (just set up), 17, 19, 27; then §6.6 (p. 472): # 1 – 7 odd
  • Mean Value Theorem for Integrals: §6.5 (p. 463): # 1 – 7 odd, 13, 15, 21
Labs

Each day will have a lab that will cover a particular section of material that we have previously explored in class. You may work alone or in a group to work through the corresponding worksheet found below. These worksheets will not be collected.

Periodically, a Lab Report will be assigned on D2L. This lab report will be a collection of prompts that are either the same or similar to prompts from lab worksheets. This lab report must be written neatly on new paper according to the stipulations below:

  • Each prompt must be clearly written out before beginning any work.
  • Each new prompt must begin on a separate page.
  • All of your work must be thoroughly shown for each prompt.
  • Your conclusion must be clearly stated at the end of your work with any necessary units and exact values (unless otherwise stated).
Here are the labs for each section.
Reviews

Below are some reviews for both the midterm exam and the final exam. Use these reviews to study for the exam. These will not be collected or covered in class.

Extra Credits

There are two extra credit opportunities available to you. Please complete these any time before the last week of instruction.

Videos
Precalculus Review Materials

PCC has created a wealth of information for precalculus review. If you identify any topics you need assistance with, check this site out.