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MTH 251Z

Welcome to the homepage for MTH 251Z!

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

Homework

For this course, we will be using the following text:

• Gilbert Strang and Edwin Herman’s .

Select homework sets are provided below. 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’sÌýCalculus Volume 1

• Intro to Calculus: : 1 – 21 all
• Limits: : 35, 37 (use a = 2), 39, 43, 47, 49 – 52 all, 59 – 64 all, 77, 79
• Limit Laws: : 83 – 86 all, 107, 109, 111, 115, 117 – 123 all
• Continuity: : 131, 133, 141, 147, 159, 163; thenÌý: 89 – 105 odd
• Limits Involving Infinity: : 261 – 270 all
• Derivative at a Number: : 5, 11, 15, 17, 19, 21, 25, 29, 39, 40, 47, 49, 51
• The Derivative Function: : 55, 57, 59, 61, 65, 66, 67, 69, 71, 78, 79, 81, 85, 91, 93, 97, 99
• Differentiation Rules: : 107, 109, 113, 115, 118, 119, 130, 133, 135, 137; then : 151 – 157 odd
• The Product & Quotient Rules: : 113 (use the Product Rule), 117, 120, 121, 127, 128, 129, 131, 132, 139, 141, 145, 146, 147; then : 165; then : 331
• Derivative of Trigonometric Functions: : 175 – 203 odd
• The Chain Rule: : 215, 221 – 237 odd, 243, 253; then : 332, 334, 335
• Implicit Differentiation: : 300 – 313 all, 319
• Derivatives of Inverse Functions: : 279, 280, 283, 284, 285, 295, 298; then : 321; then : 336 – 339 all
• Derivatives and Logarithms: : 333, 340 – 345 all
• Related Rates: : 5, 7, 9 – 15 all, 17, 21, 25, 27
• Extrema: : 91, 93, 101, 105, 109, 111, 119, 123, 127
• Second Derivative Test:Ìý: 217, 221, 225, 227, 229, 241, 243
• Optimization:Ìý: 311, 315, 316, 317, 319, 335
• L’Hôpital’s Rule:Ìý: 362, 367, 370, 371, 375, 377, 385, 387

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 willÌýnot be collected.

Periodically, aÌýLab 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).

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.

• Review for Midterm Exam
• Key for Midterm Exam Review
• Derivatives Review (with Key)
• Review for Final Exam
• Key for Final Exam Review

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

Two PCC instructors have produced video series for MTH 251. Feel free to check out their videos below.

• . For Austina’s videos, please note that she organizes them by section number. These sections are consistent with the sections we follow.
• . For Jessica’s videos, please note that she organizes them by topic. The corresponding textbook section numbers are listed below.

Precalculus Review Materials

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