Math 5B Pasadena City College

Calculus II: Futher Study of Motion and Change

Course:  Math 5B — CRN 30719, Spring 2019

Time & Place:  TuTh 4-6:30 (R Bulding, Room 109)

Instructor:  Jorge Basilio (gbasilio@pasadena.edu)

Office:  MSC R-406

Office Hours:

Handouts

Eight Definitions of \(e\)

What is Calculus? A Brief History of Math and Calculus

Calculus Review Sheets

Prereq Review Sheets

On Reading Mathematics

Good vs Bad Cheat Sheets

Tutoring

Labs

Click here to go to our labs page for all the files and more info.

Exam Related Documents

Announcements

Exam 4 Solutions now available!

FINAL Exam Study Guide now available

Brachistochrone video

Lab 1 - due date pushed back

Taylor Polynomials video

Taylor Series Demo

Lab 1 now available

Exam 2 Solutions

Exam 3 Study Guide & Practice Problems

Exam 1 Solutions

Typo in Section 7.8 Slides

Labs

Exam 2 Study Guide & Practice Problems

Exam 1 Study Materials

Substitute Teacher on Thursday 2/21

I'll be traveling to a conference so I will not be in class on Thursday. The substitute will finish 6.1 and cover 6.2 and 6.3. Also, there'll be a bit of a Calc 1 review (but do get a head start working on "The Ultimate Calc 1 Review"). See you all next Tuesday.

Notes update (Wed 2/20)

I made some small changes to the notes and uploaded them. If you already printed out the old versions, it's ok since they new ones are not that different.

Online HW updates (Wed 2/20)

Hi! Now available on WebAssign are the following assignments: 6.1_PCA, 6.1_OA, 6.2_PCA, 6.2_OA. Remember "PCA" means "Pre-Class Assigment" and "OA" means "Online Assignment". These are scheduled to be due next Tuesday at 11:59pm. Let me know if you have any questions!

WebAssign Access and Class Key

Feb 10 2019
Here is the "Class Key" to register and access WebAssign, which is the online homework system that we will use.

Please purchase access to the "homework AND e-book" which is approximately $100 total and is the best deal.
Sign-up immediately since registration is FREE for the first two weeks of class.
Email me with any questions.
Week 1 will be review some important calculus I notions from the textbook: Ch1 — Ch5. If you haven't taken calculus I recently at the college level please review before the first day of class.
Alternatively, study the review/cheat sheets I posted.
We'll have a calculus I review activity of the first day of class and also cover new material Chapter 6, Section 6.1.

Hello!

Welcome everyone to Calculus II!
I'm excited to begin the new semester and to meet all of you tomorrow. I'll post important information here.
I posted the course syllabus below--for students who have not taken a course with me please read it carefully.
More info coming soon...

Week Class Hand-outs
Week 1
  • 2/19
  • 2/21
Week 2
  • 2/26
  • 2/28
Week 3
  • 3/5
  • 3/7
  • {Tu} Class 5
    • Section 6.7 (notes) (ICA)
    • What is Calculus? A Brief History of Math and Calculus
  • {Th} Class 6
Week 4
  • 3/12
  • 3/14
  • {Tu} Class 7
    • Exam 1 (80 min)
    • Section 9.1 (notes) (ICA)
  • {Th} No class! — FLEX day
—
Week 4 Exam 1 (80 min) {Tu} 3/12
@ 4:00 — 5:20pm
Week 5
  • 3/19
  • 3/21
 —
Week 6
  • 3/26
  • 3/28
 —
Week 7
  • 4/2
  • 4/4
 —
Week 8
  • 4/9
  • 4/11
  • {Tu} Class 14
  • {Th} Class 15
    • Exam 2 (80 min)
    • Finish Section 7.8
Week 8 Exam 2 (80 min) {Tu} 4/11
@ 4:00 — 5:20pm
  • 4/16
  • 4/18
  • {Tu} Spring Break!
  • {Th} Spring Break!
 —
Week 9
  • 4/23
  • 4/25
  • {Tu} Class 16
  • {Th} Class 17
—
Week 10
  • 4/30
  • 5/2
  • {Tu} Class 18
    • Continue 11.2.
  • {Th} Class 19
—
Week 11
  • 5/7
  • 5/9
  • {Tu} Class 20
    • Finish 11.3, 11.4, 11.5
    • Review
  • {Th} Class 21
    • Exam 3 (80 min)
    • Finish some proofs
Week 11 Exam 3 (80 min) {Th} 5/9
@ 4:00 — 5:20pm
Week 12
  • 5/14
  • 5/16
Week 13
  • 5/21
  • 5/23
  • {Tu} Class 24
  • {Th} Class 25
    • Finish 11.9
    • Section 11.10 (notes) (ICA)
Week 14
  • 5/28
  • 5/30
  • {Tu} Class 26
  • {Th} Class 27
    • Exam 4 (80 min)
    • Section 8.3* (notes) (ICA)
      Note: center of mass only
    • Section 10.1 (notes) (ICA)
—
Week 14 Exam 4 (80 min) {Th} 5/30
@ 4:00 — 5:20pm
Week 15
  • 6/4
  • 6/6
  • {Tu} Class 28
  • {Th} Class 29 — Last Day of Class! :-)
Week 16 Final Exam (2 hrs) {Th} 6/13
@ 3:15pm — 5:15pm

Course Policies

Please consult the Course Syllabus for a more detailed description.

What is this class?

Our existence lies in a perpetual state of change. An apple falls from a tree, clouds move across expansive farmland blocking out the sun for days, meanwhile satellites zip around the Earth transmitting and receiving signals to our cell phones. The calculus was invented to develop a language to accurately describe and study the change we see. The ancient Greeks began a detailed study of change but they were scared to wrestle with the infinite and so it was not until the 17th century that maverick mathematicians, Isaac Newton and Gottfried Leibniz, among others, tamed infinity and gave birth to an extremely successful branch of mathematics called the Calculus. Though just a few hundred years old, the Calculus has become an indispensable research tool in both the natural, social sciences and Economics and Buisness.

The power of calculus lies in its power to reduce complicated problems to simple rules and procedures. While these procedures can be (and often are) taught with little regard to the underlying mathematical concepts or their practical uses, our emphasis will be on understanding all of these: concepts, procedures and uses. We will engage in the full mathematical process, which includes searching for patterns, order and reason; creating models of real world situations to clarify and predict better what happens around us; understanding and explaining ideas clearly; and applying the mathematics we know to solve unfamiliar problems.

Topics covered: Differentiation and integration of trigonometric, exponential, logarithmic, hyperbolic functions, polar, and parametric equations; applications and techniques of integration; indeterminate forms and infinite sequences and series.

Prerequisites

MATH 5A, or placement based on the Math assessment process.

Online Homework via WebAssign

Computation is an important component of mathematics, and is a key part of any calculus course. I will select problems from the textbook to be done and checked online via the platform WebAssign.

Textbook

The textbook is Calculus, 8th Ed., by James Stewart. We will cover most of the material in Chapters 6–11. You should read the relevant section of the text before we cover the material in class, and then again while doing the homework.

The textbook comes with access to the WebAssign system. So if you are ok with studying from an ebook then you DO NOT have to buy a hard copy of the textbook. I would encourage students who plan to take Calc I-II-III, or more advanced mathematics courses to purchase a hardcopy of the textbook to keep as a reference.

You can buy an earlier edition for cheaper if you plan to use it as a future reference or resource. Since the HW is done online you will not need the textbook for the homework, only to read the book and study.

Additional Textbooks and Resources

Grading

The grade will be based on the following:

Pre-Class Assignments 6%
In-Class Assignments 6%
Online Assignments 10%
Labs 5%
Exams (4 @ 12% each) 48%
Final Exam 25%

Exams

The in-class exams are 80 minutes long, and are tentatively scheduled for:

Dates are subject to change. Exams are scheduled during the beginning of the class period, approximately 80 minutes long. Class will continue after a break and attendace is take at the end of class on test days.

The final exam is two hours long, and will be on Thursday, June 13, in our usual classroom from 3:15-5:15.

Calculator

This is a course of mathematical concepts and techniques, not a course of mechanical computation, so we will have little use for calculators. You may bring a scientific calculator or laptop with you to class if you wish. If you bring a laptop please do not use it to check email or chat with friends, or do any tasks that would disturb your fellow classmates (see Syllabus for exact rules on laptop use). We will discuss the free programs Desmons, Geogebra, Symbolab, Wolfram Alpha, and CoCalc and how it can help in learning.

Please note that only Scientific Calculators will be allowed during exams. If you have a graphing calculator you can use it during class but it will not be allowed during exams.