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MTH 253Z

Welcome to the homepage for MTH 253Z!

This page will be used to access files and for general information purposes.

Homework

Below is the textbook we will be using for the class.

• Gilbert Strang and Edwin Herman’s  and

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 ²¹²Ô»åÌýCalculus Volume 2

Volume 1

• L’Hôpital’s Rule: : 369, 382, 383, 387, 392, 393, 394, 395
• Linear Approximations: : 51 – 61 odd, 69 – 83 odd
• Newton’s Method: : 406 – 409 all, 432 – 435 all, 439

Volume 2

• Sequences: : 1, 3, 9, 13, 15, 19, 21, 23, 27 – 29 odd, 45 – 57 odd
• Series: : 67, 69, 71, 73, 79, 81, 89 – 97 odd, 102, 103, 106
• Integral Test: : 139, 141, 147, 153, 155, 159, 161, 169, 171
• Comparison Tests: : 194 – 200 all, 207 – 211 all
• Alternating Series Test: : 250 – 255 all, 264, 295, 297, 303, 304
• Ratio Test: : 317 – 323 odd, 349 (note the denominator factors as (n + 1)^3)
• Power Series: : 5, 7, 9, 11, 13 – 21 all, 25, 31
• Power Series Representation: : Begin with : 33, 35, 37, 39, then do : 65, 69, 70, 87, 89, 95, 97, 99, 109 (Why do you think it is called E(x)?)
• Taylor & Maclaurin Series: : 174, 175, 177, 203, 205, 207; then : 141 – 159 odd
• Taylor Polynomials: : 116 – 123 all; then : 219, 221, 223

Note Sheets

Below are a number of Guided Note Sheets. These are blank and constitute what will be covered during lecture.

• L’Hopital’s Rule
• Linear Approximations & Differentials
  
• Newton’s Method
• Sequences
• Series
• Estimating a Sum
• The Comparison Tests
• The Integral Test & p-Series
• Absolute Convergence & the Ratio Test
• Alternating Series
• Power Series
• Representation of Functions as Power Series
• Taylor & Maclaurin Series
• Taylor’s Inequality
• Applications of Taylor Polynomials

Portfolio

• Portfolio

Reviews

• Midterm Review
• Final Review
• Final Review Key

Extra Credits

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

• Extra Credit 1: Women in Math: The Limit Does Not Exist
• Extra Credit 2: The Mathematics of the Three Waves of AI

Videos

• : Austina Fong and myself have produced a video series for MTH 253. Feel free to check out her videos if you like.
• : Austina Fong independently made significantly shorter, updated videos to follow along with the OpenStax material.

Precalculus Review Materials

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