ma163: Calculus II - w24
(CC BY-SA 4.0) : link (credit - Amie Wilkinson)
Class Meetings
- Winter 2024 (Jan16 → May4)
- MWRF 9-9:50AM
- JXJ 2320
- zoom link - passcode 049070
Instructor
Daniel Rowe
darowe@nmu.edu
I'm an assistant professor of mathematics in the Mathematics and Computer Science Department at Northern Michgan University. I've been a professor at NMU for eight years, and I am very passionate about the praxis of doing mathematics and teaching it. I grew up on a fishing camp in Northwestern Ontario, Canada.
Need Math Help?
- Office Hours
- Tue 9-9:50AM, Thu 10-10:50AM, 1-1:50PM
- JXJ 2228
- zoom link - passcode 809390
- read the relevant section(s) of our materials
- study all posted solutions
- re-watch the recorded lectures
- math tutor lab
Success in College Classes
- the instructor's job is to ensure content is clear, organized, and engaging
- your job is to attend class, engage your mind, ask questions,
read the material, and apply yourself
Class Structure
- hybrid-flexible, in-person and over zoom
- recordings available 2-3 days after each class
- strive for in-person attendance
- avoid becoming reliant on zoom and recordings!
- use them for extenuating circumstances only
- engagement is vital to learning mathematics (or anything)
- I don't take daily attendance, but...
- overall attendance is 5% of your grade
- (35%) Homework
- (10%) Collaborative In-Class Quizzes
- (20%) Traditional In-Class Midterm Exam
- (30%) Traditional In-Class Final Exam
- (5%) Attendance
Grade Scale
A (92-100%)
A- (90-91%)
B+ (86-89%)
B (82-85%)
B- (80-81%)
C+ (76-79%)
C (72-75%)
C- (70-71%)
D+ (66-69%)
D (62-65%)
D- (60-61%)
F (≤ 59%)
Learning Outcomes
Students will delve deeper into the concepts introduced in Calculus I, expanding their understanding of integration, series, and sequences. We will cover techniques and applications of integration, such as integration by parts, partial fractions, improper integrals, and applications to areas, volumes, and work problems. Sequences and series then take center stage; within that context we study convergence, divergence, tests for convergence, power series, Taylor and Maclaurin series, as well as applications in approximations and solving differential equations. Calculus II often challenges students to think more abstractly and develop problem-solving skills, setting the stage for further advanced mathematics and real-world applications.
Class Materials
- Don't buy anything right away - wait until I discuss this in class!
- Link is within Educat for a discount
- Calculus: Early Transcendentals, Jon Rogawski, Colin Adams, Robert Franzosa, 4E, MacMillan, 2019.
- how do I read the text to follow the flow of our class?
- u-sub review → integration by parts →
trigonometric integrals → trigonometric substitution →
the method of partial fractions → probability →
arc length and surface area → fluid pressure →
center of mass → sequences → series
- Achieve, Online Homework System
- Link is within Educat for a discount
Submitting Your Work
- for online homework: submissions handled automatically
- for quizzes, midterm, final: physical paper in-class
- for anything else: put a .pdf file inside our shared google folder
- the shared google folder will be titled w24_ma163_lastname
- I will share it with you within the first two weeks
- please don't submit anything via email attachment
- name your files in an organized manner, for example: hw1_Jane_Smith.pdf
- always show your work and keep it organized
- indicate/circle/highlight your answers
- answer the questions in the correct order
Late Submissions
- for online homework: there are *soft deadlines*, but...
online homework is not due the until end of the semester
- for quizzes, midterm, final: written in-class on the day
- for shared folder submissions: no late penalty until
the solutions are posted, then -50%
Checking Your Grade
- you can check your grade anytime, look for
untitled spreadsheet in our shared folder
Accessibility
If you have a need for disability-related accommodations or services, please inform the Coordinators of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (227-1737 or disability@nmu.edu). Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.
Online Homework + Quizzes + Exams
- 8.0 U-substitution Review (due 1/21 @ 11:59PM)
- 8.0 More U-substitution (due 1/21 @ 11:59PM)
- 8.0 Indefinite Integral Review (due 1/21 @ 11:59PM)
- 8.1 Integration by Parts 1 (due 1/28 @ 11:59PM)
- 8.1 Integration by Parts 2 (due 1/28 @ 11:59PM)
- 8.1 Integration by Parts 3 (due 2/4 @ 11:59PM)
- 8.2 Trigonometric Integrals 1 (due 2/4 @ 11:59PM)
- 8.2 Trigonometric Integrals 2 (due 2/4 @ 11:59PM)
- 8.3 Trigonometric Substitution (due 2/11 @ 11:59PM)
- 8.5 The Method of Partial Fractions (due 2/11 @ 11:59PM)
- 8.7 Improper Integrals (due 2/18 @ 11:59PM)
- 9.1 Probability and Integration (due 3/3 @ 11:59PM)
- 9.2 Arc Length and Surface Area (due 3/17 @ 11:59PM)
- 11.1 Sequences (due 3/24 @ 11:59PM)
- 11.2 Summing an Infinite Series 1 (due 3/27 @ 11:59PM)
- 11.2 Summing an Infinite Series 2 (due 3/27 @ 11:59PM)
- 11.3 Convergence of Series with Positive... (due 4/3 @ 11:59PM)
- 11.4 Absolute and Conditional... (due 4/10 @ 11:59PM)
- 11.5 The Ratio and Root Tests (due 4/14 @ 11:59PM)
- 11.6 Power Series (due 4/17 @ 11:59PM)
- 11.7 Taylor Polynomials (due 4/21 @ 11:59PM)
- 11.8 Taylor Series (due 4/28 @ 11:59PM)
- quiz1 → sol
- quiz2 → sol
- quiz3 → sol
- quiz 4 → sol
- practice midterm → sol
- midterm exam (2/23 @ 9-9:50AM) → sol
- practice final → sol
- final exam (Thursday 5/2 @ 8-9:50AM)
Schedule + Recordings
wk1: jan15 → jan19
□ attend the lectures
□ read this webpage and join the online homework system
□ work on the 8.0 homeworks
□ section 8.0
extra practice (courtesy of Dr. Lawton)
- 1/17
- announcements
- review of calc I
- 1/18
- review of calc I
- 10 minutes of u-sub review
wk2: jan22 → jan26
□ attend the lectures
□ work on the 8.1 homeworks
□ section 8.1
extra practice (courtesy of Dr. Lawton)
- 1/22
- more u-sub review
- intro to integration by parts
- 1/24
- more integration by parts
- 1/25
- more integration by parts
- 1/26
- more integration by parts
wk3: jan29 → feb2
□ attend the lectures
□ work on online homework
□ section 8.2
extra practice (courtesy of Dr. Lawton)
- 1/29
- trig integrals: sinn cosm
- at least one power odd
- 1/31
- trig integrals: sinn cosm
- both powers even
- 2/1
- trig integrals: secn tanm
- trig integrals: cscn cotm
- 2/2
- in-class collaborative quiz 1
wk4: feb5 → feb9
□ attend the lectures
□ work on online homework
□ sections 8.3, 8.5
extra practice (courtesy of Dr. Lawton)
- 2/5
- trig substitution
- examples
- 2/7 - no recording
- more trig substitution
- examples
- 2/8
- partial fractions
- examples
- 2/9
- workshop day
- more partial fractions
wk5: feb12 → feb16
□ attend the lectures
□ work on online homework
□ section 8.7
extra practice (courtesy of Dr. Lawton)
- 2/14
- workshop on trig sub and par. frac.
- improper integrals
wk6: feb19 → feb23
□ work on any unfinished online hw
□ study for the midterm exam
- 2/19
- in-class collaborative quiz 2
- 2/23
- midterm exam (traditional, in-class, 9-9:50AM)
wk7: feb26 → mar1
□ attend the lectures
□ work on the online homework
- 2/26
- probability and integration
- 2/29
- probability and integration
wk8: mar11 → mar15
□ attend the lectures
□ work on the online homework
- 3/14
- center of mass
- work on online homework
wk9: mar18 → mar22
□ attend the lectures
□ work on the online homework
□ sections 11.1, 11.2
extra practice (courtesy of Dr. Lawton)
wk10: mar25 → mar29
□ attend the lectures
□ work on the online homework
□ sections 11.2, 11.3
extra practice (courtesy of Dr. Lawton)
- 3/25
- more on series
- help with achieve hw
- 3/28
- convergence/divergence of positive series
- integral test, p-test
- notes from class
- 3/29
- direct comparison test
- limit comparison test
wk11: apr1 → apr5
□ attend the lectures
□ work on the online homework
□ sections 11.3, 11.4, 11.5
extra practice (courtesy of Dr. Lawton)
wk12: apr8 → apr12
□ attend the lectures
□ work on the online homework
□ sections 11.4, 11.5, 11.6
extra practice (courtesy of Dr. Lawton)
- 4/11
- overview of 11.6, 11.7, and 11.8
wk13: apr15 → apr19
□ attend the lectures
□ work on the online homework
□ sections 11.6, 11.7
extra practice (courtesy of Dr. Lawton)
wk14: apr22 → apr26
□ attend the lectures
□ work on the online homework
□ sections 11.7, 11.8
extra practice (courtesy of Dr. Lawton)
- 4/24
- online hw examples
- last 2 of prac. final
wk15: apr29 → may3 (FINAL EXAM WEEK)
□ final exam: Thur May 2, 8-9:50AM, JXJ 2320
□ special office hours: Wed May 1, 12-2:00PM
□ traditional in-person exam
□ no electronic devices
□ online homework open until 5/3 @ 11:59PM
- class evaluations
- please fill out the class evaluation
- I would REALLY appreciate it!
- the evaluation link is active:
- now → Fri May 3 @ 11:59PM