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
05-06 Regions between curves, Volumes by Slicing
07 Regions, Volumes by Slicing (continued)
08-09 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, P-Series
23 Comparison Tests
24-25 Alternating Series, Ratio Test, Root Test
26 Review of Series Tests
27 Taylor Polynomial Approximation
29 Power Series
30-31 Power Series (continued) and Taylor Series
32-35 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 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Jan 10 |
Jan 11 |
Jan 12 |
Jan 13 |
Jan 14 |
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LESSON 1 |
No Quiz |
LESSON 2 |
No Quiz |
LESSON 3 |
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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 |
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Week # 2 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Jan 17 |
Jan 18 |
Jan 19 |
Jan 20 |
Jan 21 |
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No Class |
Quiz 1 |
LESSON 4 |
Quiz 2 |
LESSON 5 |
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Martin Luther King Jr. Day |
HW DUE: Lesson 3 |
13.4 Cross Products |
HW DUE: Lesson 4 |
6.2 Regions Between Curves |
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Week # 3 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Jan 24 |
Jan 25 |
Jan 26 |
Jan 27 |
Jan 28 |
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LESSON 6 |
Quiz 3 |
LESSON 7 |
Quiz 4 |
LESSON 8 |
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6.3 Volumes by Slicing |
HW DUE: Lessons 5,6 |
6.4 Volumes by Shells |
HW DUE: Lesson 7 |
6.5 Length
of Curves |
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Week # 4 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Jan 31 |
Feb 1 |
Feb 2 |
Feb 3 |
Feb 4 |
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LESSON 9 |
Quiz 5 |
LESSON 10 |
Quiz 6 (Lessons 8,9) |
LESSON 11 |
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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 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Feb 7 |
Feb 8 |
Feb 9 |
Feb 10 |
Feb 11 |
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Exam REVIEW |
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LESSON 12 |
Quiz 7 |
NO CLASS |
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REVIEW |
HW DUE: none |
8.3 Trigonometric Integrals |
HW DUE: Lessons 11 |
Class canceled due to exam |
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Week # 6 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Feb 14 |
Feb 15 |
Feb 16 |
Feb 17 |
Feb 18 |
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LESSON 13 |
Quiz 8 |
LESSON 14 |
Quiz 9 |
LESSON 15 |
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8.3 Trigonometric Integrals |
HW DUE: Lessons 12,13 |
8.4 Trigonometric Substitutions |
HW DUE: Lesson 14 |
8.4 Trigonometric Substitutions |
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Week # 7 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Feb 21 |
Feb 22 |
Feb 23 |
Feb 24 |
Feb 25 |
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LESSON 16 |
Quiz 10 |
LESSON 17 |
Quiz 11 |
LESSON 18 |
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8.5 Partial Fractions |
HW DUE: Lessons 15,16 |
8.5 Partial Fractions |
HW DUE: Lesson 17 |
8.9 Improper Integrals |
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Week # 8 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Feb 28 |
Mar 1 |
Mar 2 |
Mar 3 |
Mar 4 |
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LESSON 19 |
Quiz 12 |
LESSON 20 |
Quiz 13 |
LESSON 21 |
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10.1 Sequences and Series: An Overview |
HW DUE: Lessons 18, 19 |
10.2 Sequences |
HW DUE: Lesson 20 |
10.3 Infinite Series |
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Week #9 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Mar 7 |
Mar 8 |
Mar 9 |
Mar 10 |
Mar 11 |
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Exam REVIEW |
Exam REVIEW |
LESSON 22 |
Quiz 14 |
NO CLASS |
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REVIEW |
HW DUE: none
EXAM #2 (Lessons 10-20) |
10.4 The Divergence and Integral Tests (up to example 3) |
HW DUE: Lessons 21
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Class canceled due to exam |
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Week # 10 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Mar 14 |
Mar 15 |
Mar 16 |
Mar 17 |
Mar 18 |
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No Class |
No Class |
No Class |
No Class |
No Class |
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Spring Break |
Spring Break |
Spring Break |
Spring Break |
Spring Break |
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Week # 11 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Mar 21 |
Mar 22 |
Mar 23 |
Mar 24 |
Mar 25 |
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| 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 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Mar 28 |
Mar 29 |
Mar 30 |
Mar 31 |
Apr 1 |
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| 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 |
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Week # 13 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Apr 4 |
Apr 5 |
Apr 6 |
Apr 7 |
Apr 8 |
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| LESSON 28 |
Quiz 19 |
LESSON 29 |
Quiz 20 |
LESSON 30 | |
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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 |
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Week # 14 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Apr 11 |
Apr 12 |
Apr 13 |
Apr 14 |
Apr 15 |
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Exam REVIEW |
Exam REVIEW |
LESSON 31 |
Quiz 21 |
LESSON 32 |
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REVIEW |
HW DUE: Lesson 30 |
11.3 Taylor Series |
HW DUE: Lesson 31 |
11. 4 Working with Taylor Series |
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Week #15 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Apr 18 |
Apr 19 |
Apr 20 |
Apr 21 |
Apr 22 |
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LESSON 33 |
Quiz 22 |
LESSON 34 |
Quiz 23 (Lesson 32,33) |
LESSON 35 |
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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 |
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Week # 16 |
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MONDAY |
TUESDAY |
WEDNESDAY |
THURSDAY |
FRIDAY |
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Apr 25 |
Apr 26 |
Apr 27 |
Apr 28 |
Apr 29 |
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Final Review |
No Quiz Review |
Final Review |
No Quiz Review |
Final Review |
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REVIEW |
HW DUE: Lesson 35 |
REVIEW |
HW DUE: none |
REVIEW |
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Course contents is under copyright protections of the instructor and licensed to you through CC BY-NC-ND 4.0 DEED.
https://creativecommons.org/licenses/by-nc-nd/4.0/