Math 157: Calculus II

Spring 2025


Instructor:

 Sam Hopkins (call me "Sam")
Office: Annex III (Graduate School) - #220
E-mail: sam.hopkins@howard.edu 

Classes:

 Mon-Tue-Wed-Fri, 2:10-3:00pm
Douglass Hall - #215

Office hours:

 Tue 1-2pm, or by appointment
Annex III (Graduate School) - #220

Course content:

 This is a continuation of Calculus I. We will continue to study differentiation and integration of functions of a single real variable, with a new focus on: applications of integration; techniques for integration; polar coordinates and parameteric curves; sequences, series, and power series.

Prerequisites:

 Math 156 (Calculus I)
Click here for the course webpage for the 1st semester.

Textbook:

 Calculus, Early Transcendentals, 9th Edition, by J. Stewart et al.
Contact me if you need help accessing the textbook.

Grading:

 The grading for the course will be based on Quizzes, Midterm Exams, and the Final Exam. The grading scheme is:
  • Quizzes = 35% of grade
  • Each of 3 midterms = 15% of grade
  • Final exam = 20% of grade
In-class quizzes will happen every Thursday, except for weeks when midterms take place. There will be 11 quizzes and your lowest 2 scores will be dropped (so 9 of 11 count). Other problems for practice may be assigned but not graded. There will be three in-class midterms in the semester. They will take place on Thursdays and be announced 1-2 weeks in advance. The final will happen after the end of classes, during finals week.
Studying with your fellow students is a good idea, but collaboration on graded assignments is not permitted. The use of calculators, outside notes, or other tools from the Internet, is not permitted. Grades will be posted to the Canvas site. I may consider other factors, like class participation, when determining final letter grades, especially in borderline cases.

Syllabus:

 Click here for a pdf version of the syllabus (which includes a more detailed course outline and information about the Code of Conduct, Grievance Procedure, Disability Accommodations, etc.)

Class notes:

 Batch 1; Batch 2; Batch 3; Batch 4; Batch 5
(Change "_bw.pdf" to "_gray.pdf" for grayscale versions.)

Quizzes / exams:

 1/14: Quiz #0 (Diagnostic)
1/21: Quiz #1
1/28: Quiz #2
2/4: Quiz #3
2/12: Quiz #4
2/21: Quiz #5
2/25: Midterm #1; Study Guide
3/11: Quiz #6
3/17: Quiz #7
3/24: Quiz #8
3/26: Midterm #2; Study Guide
4/4: Quiz #9
4/11: Quiz #10
4/18: Quiz #11
4/23: Midterm #3; Study Guide
4/29, 3:30-5:30pm: Final Exam; Study Guide; Formula Sheet

Practice problems:

 Week 1 (1/13-17): 6.1 #19, 22, 26; 6.2 #1, 5
Week 2 (1/20-24): 6.2 #6, 20, 62; 6.3 #3, 11, 21
Week 3 (1/27-31): 6.4 #11, 14; 6.5 #3; 7.1 #1, 2, 9
Week 4 (2/3-7): 7.1 #11, 32, 37; 7.2 #1, 2, 3
Week 5 (2/10-14): 7.3 #5, 10, 21; 7.4 #7, 9, 11
Week 6 (2/17-21): 7.5: #1, 3; 7.7 #1, 2, 3
Week 7 (2/24-28): 8.1 #1, 21; 8.2 #9, 11
Week 8 (3/10-14): 10.1 #3, 7; 10.2 #7, 47
Week 9 (3/17-21): 10.3 #5, 23, 35; 10.4 #3, 8, 65
Week 10 (3/24-28): 11.1 #29, 51, 79, 81
Week 11 (3/31-4/4): 11.2 #1, 15, 33, 35
Week 12 (4/7-11): 11.3 #5, 39; 11.4 #3, 13
Week 13 (4/14-18): 11.5 #25; 11.6 #3; 11.8 #7; 11.9 #7
Week 14 (4/21-25): 11.10 #5, 11, 41, 42; 11.11 #3

Other resources:

 Active Calculus is a free, online textbook for learning calculus; it does not follow exactly the same outline as the Stewart book we are using, but content from Chapters 5, 6, and 8 there closely aligns with what we will learn this semester.
Old final exams can be found on the math department website here.
Course material for Calculus II from previous years can be found on Prof. Sitaraman's website.