Math 25. Further Topics Single Variable Calculus

Spring 2013


Here is the Final exam and its Solutions.

Please complete the course survey on Moodle to help me improve the class for the future and you get extra credit if you fill it up.

Practice exam for the final and its Solutions.

The final exam is May 16 from 7 to 10pm at SC 199.

There will be a review session run by the pi-rates from 8pm to 10pm on May 15 at SC 158.

Click on the link to access a page with all 11 homeworks and their solutions.

Series Worksheet and its Solutions.

Second Midterm and Solutions.

The final WebWorK. problem set (Homework_9) is due on Friday May 3 before midnight.

Homework 11 is due on Wednesday May 1, 2013:
Section 10.4: 2, 8, 12, 14, 16.

Homework 10 is due on Friday April 26, 2013:
Section 10.2: 2, 10, 14, 22, 30, 34, 44.
Section 10.3: 2, 8, 12, 24, 26.

The following link Taylor.nb is a Mathematica file to play around with graphs of Taylor series. To open, right click on the link and choose "Save Link As". Then save it on your computer and open it with Mathematica. As a Swarthmore student you are allowed to download a personal copy of Mathematica on your computer. Check with IT for more details.

Solutions to Homework 9.

Power Series Worksheet.
Power Series Worksheet Solutions

Practice Exam for the second midterm
Solutions to the Practice Exam for the second midterm

Midterm 1 and its Solutions.

Last year's midterm. It has questions in topics we didn't cover.
Solutions to the midterm.

Practice Exam 1
Practice Exam 1 Solutions


Calculus (5th edition) by Hughes-Hallett, Gleason, McCallum et al.

Topics we will cover

The following topics will be covered: Integration Techniques (substitution, by parts, trigonometric, rational fractions)
Applications of integration (areas, arc length, density, center of mass, etc.)
Sequences and Series (geometric series, convergence)
Taylor series
Introduction to differential equations


The course grade will be based on:
Homework 10%,
Webwork   10%,
Midterm 1   25%,
Midterm 2   25%,
Final Exam   30%.


There will be written homework due roughly every week. Collaboration in the homework is permitted, but you are not allowed to copy someone else's work. The solutions must be written individually. You have to mention on your problem set the names of the students that you worked with. You can find the homeworks for this class here.

There will also be homework to be turned in online through WebWorK, an open-source online homework system for math and sciences .

How to get access to WebWorK


On the midterms and the final exam you must work on the problems on your own. No collaboration permitted in the exams. Also, no calculators or notes are permitted.
The first midterm will be on Tuesday February 26 from 7 to 9pm. Location: Sci 101.

The second midterm will be on Tuesday April 2 from 7 to 9pm. Location: Sci 101.

The final exam will be on May 16 from 7pm to 10pm at Sci 199. The exam is a cumulutive three hour exam.


Suggestions from Past Math 25 Students

Pi-rate Sessions

Pi-rate sessions offer a casual environment for meeting classmates and discussing math. At sessions you can ask questions about your coursework, prepare for exams, work collaboratively with classmates, and have fun interacting with the Math 25 community. Plus there are always snacks provided.

The sessions are Sundays, Tuesdays and Thursdays from 8 to 10m in Science Center 158. The pi-rates are:
Accommodations Statement

If you believe that you need accommodations for a disability, please contact Leslie Hempling in the Office of Student Disability Services, located in Parrish 130, or e-mail lhempli1 to set up an appointment to discuss your needs and the process for requesting accommodations. Leslie Hempling is responsible for reviewing and approving disability-related accommodation requests and, as appropriate, she will issue students with documented disabilities an Accommodation Authorization Letter. Since accommodations may require early planning and are not retroactive, please contact her as soon as possible. For details about the Student Disabilities Service and the accomodations process, visit

You are also welcome to contact me privately to discuss your academic needs. However, all disability-related accommodations must be arranged through Leslie Hempling in the Office Of Student Disability Services.

Last modified on May 19, 2013.