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:
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; [More to be posted] (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 2/11: Quiz #4 2/21: Quiz #5 2/25: Midterm #1 [More to be posted] |
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 [More to be posted] |
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. |