Status: Archived This course was originally published on Purdue's learning management system. This archive is for reference only. I apologize for any mistakes made in any notes here.
Instructor: Folk Narongrit
Course Coordinator: Dr. Andrey Glubokov (agluboko@purdue.edu)
Learning Outcomes (my version)
 Be able to form a vector and compute the dot and cross products between vectors.
 Understanding integration techniques – integration by parts, trigonometric substitution, partial fractions
 Using integration to compute areas of regions, volumes, volumes/areas of revolved solids, work, moment, centers of mass
 Computing terms of sequences and sums of series.
 Using series tests to determine conditional convergence and absolute convergence of certain series.
 Determine the interval of convergence of power series
 Computing the Taylor and Maclaurin series of some functions
 Sketching points and some curves using polar coordinates
Exams
Spring 2022 Exam 1 Solutions
Spring 2022 Exam 2 Solutions
Exam Practice
Exam 1 Skills Practice
Exam 2 Skills Practice
Big book of integration, courtesy of Sagnik B. (Purdue Physics 2025)
Series Flowchart
Notes
(pdfs for section 053 are provided below)
01+02 Vectors Review
03 Dot Product
04 Cross Products
0506 Regions between curves, Volumes by Slicing
07 Regions, Volumes by Slicing (continued)
0809 Length, Surface Area, Physics Applications
10 Integration Applications 2
11 Integration by Parts
12 Integration of Trigonometric Functions
13 Integration using Trigonometric Substitution
14 Integration by Partial Fractions
18 Improper Integrals
20 Sequences and Series – Introduction
21 Infinite Series
22 Divergence Test, Integral Test, PSeries
23 Comparison Tests
2425 Alternating Series, Ratio Test, Root Test
26 Review of Series Tests
27 Taylor Polynomial Approximation
29 Power Series
3031 Power Series (continued) and Taylor Series
3235 Polar Coordinates
Final exam review (April 26) Session 1, Session 2
Final exam review (April 28) Session 1, Session 2
Important Dates
Exam 1 – Tuesday, Feb 8
Exam 2 – Tuesday, Mar 8
Exam 3 – Tuesday Apr 12
Course Calendar (Provided by the department)
Last update: December 13, 2021
MA 16200 Spring 2022 – Course Calendar
Week # 1 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Jan 10 
Jan 11 
Jan 12 
Jan 13 
Jan 14 

LESSON 1 
No Quiz 
LESSON 2 
No Quiz 
LESSON 3 

13.1 Vectors
in the Plane 
HW DUE: None 
13.2 Vectors in Three Dimensions (remainder) 
HW DUE: Lessons 1 & 2 
13.3 Dot Products 
Week # 2 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Jan 17 
Jan 18 
Jan 19 
Jan 20 
Jan 21 

No Class 
Quiz 1 
LESSON 4 
Quiz 2 
LESSON 5 

Martin Luther King Jr. Day 
HW DUE: Lesson 3 
13.4 Cross Products 
HW DUE: Lesson 4 
6.2 Regions Between Curves 
Week # 3 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Jan 24 
Jan 25 
Jan 26 
Jan 27 
Jan 28 

LESSON 6 
Quiz 3 
LESSON 7 
Quiz 4 
LESSON 8 

6.3 Volumes by Slicing 
HW DUE: Lessons 5,6 
6.4 Volumes by Shells 
HW DUE: Lesson 7 
6.5 Length
of Curves 
Week # 4 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Jan 31 
Feb 1 
Feb 2 
Feb 3 
Feb 4 

LESSON 9 
Quiz 5 
LESSON 10 
Quiz 6 (Lessons 8,9) 
LESSON 11 

6.7 Physical
Applications 
HW DUE: Lessons 8,9 
6.7 Physical Applications (remainder) 
HW DUE: Lesson 10 
8.2 Integration by Parts 
Week # 5 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Feb 7 
Feb 8 
Feb 9 
Feb 10 
Feb 11 

Exam REVIEW 

LESSON 12 
Quiz 7 
NO CLASS 

REVIEW 
HW DUE: none 
8.3 Trigonometric Integrals 
HW DUE: Lessons 11 
Class canceled due to exam 
Week # 6 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Feb 14 
Feb 15 
Feb 16 
Feb 17 
Feb 18 

LESSON 13 
Quiz 8 
LESSON 14 
Quiz 9 
LESSON 15 

8.3 Trigonometric Integrals 
HW DUE: Lessons 12,13 
8.4 Trigonometric Substitutions 
HW DUE: Lesson 14 
8.4 Trigonometric Substitutions 
Week # 7 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Feb 21 
Feb 22 
Feb 23 
Feb 24 
Feb 25 

LESSON 16 
Quiz 10 
LESSON 17 
Quiz 11 
LESSON 18 

8.5 Partial Fractions 
HW DUE: Lessons 15,16 
8.5 Partial Fractions 
HW DUE: Lesson 17 
8.9 Improper Integrals 
Week # 8 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Feb 28 
Mar 1 
Mar 2 
Mar 3 
Mar 4 

LESSON 19 
Quiz 12 
LESSON 20 
Quiz 13 
LESSON 21 

10.1 Sequences and Series: An Overview 
HW DUE: Lessons 18, 19 
10.2 Sequences 
HW DUE: Lesson 20 
10.3 Infinite Series 
Week #9 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Mar 7 
Mar 8 
Mar 9 
Mar 10 
Mar 11 

Exam REVIEW 
Exam REVIEW 
LESSON 22 
Quiz 14 
NO CLASS 

REVIEW 
HW DUE: none
EXAM #2 (Lessons 1020) 
10.4 The Divergence and Integral Tests (up to example 3) 
HW DUE: Lessons 21

Class canceled due to exam 
Week # 10 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Mar 14 
Mar 15 
Mar 16 
Mar 17 
Mar 18 

No Class 
No Class 
No Class 
No Class 
No Class 

Spring Break 
Spring Break 
Spring Break 
Spring Break 
Spring Break 
Week # 11 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Mar 21 
Mar 22 
Mar 23 
Mar 24 
Mar 25 

NO CLASS 
Quiz 15 
LESSON 23 
Quiz 16 
LESSON 24  
Class canceled due to exam 
HW DUE: Lesson 22 
10.5 The Comparison Tests 
HW DUE: Lesson 23 
10.6 Alternating Series 
Week # 12 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Mar 28 
Mar 29 
Mar 30 
Mar 31 
Apr 1 

LESSON 25 
Quiz 17 
LESSON 26 
Quiz 18 
LESSON 27  
10.7 The Ratio and Root Tests 
HW DUE: Lessons 24, 25 
10.8 Choosing a Convergence Test 
HW DUE: Lesson 26 

Week # 13 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Apr 4 
Apr 5 
Apr 6 
Apr 7 
Apr 8 

LESSON 28 
Quiz 19 
LESSON 29 
Quiz 20 
LESSON 30  
11.1 Approximating Functions with
Polynomials 
HW DUE: Lesson 27,28 
11.2 Properties of Power Series (up to example 3) 
HW DUE: Lesson 29 
11.2 Properties of Power Series 
Week # 14 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Apr 11 
Apr 12 
Apr 13 
Apr 14 
Apr 15 

Exam REVIEW 
Exam REVIEW 
LESSON 31 
Quiz 21 
LESSON 32 

REVIEW 
HW DUE: Lesson 30 
11.3 Taylor Series 
HW DUE: Lesson 31 
11. 4 Working with Taylor Series 
Week #15 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Apr 18 
Apr 19 
Apr 20 
Apr 21 
Apr 22 

LESSON 33 
Quiz 22 
LESSON 34 
Quiz 23 (Lesson 32,33) 
LESSON 35 

12.2 Polar Coordinates 
HW DUE: Lessons 32,33 
12.2 Polar Coordinates 
HW DUE: Lesson 34 
12.3 Areas and
Lengths in Polar Coordinates 
Week # 16 


MONDAY 
TUESDAY 
WEDNESDAY 
THURSDAY 
FRIDAY 

Apr 25 
Apr 26 
Apr 27 
Apr 28 
Apr 29 

Final Review 
No Quiz Review 
Final Review 
No Quiz Review 
Final Review 

REVIEW 
HW DUE: Lesson 35 
REVIEW 
HW DUE: none 
REVIEW 
Course contents is under copyright protections of the instructor and licensed to you through CC BYNCND 4.0 DEED.
https://creativecommons.org/licenses/byncnd/4.0/