MATH162 -Calculus II, Summer 2026 (MATH 162-02)
Course Information.
Course Blackboard.
MATH162_SUMMER_2025.
Instructor:
Debanshu Ghosh.
Email: dghosh5@ur.rochester.edu
Offece: Hylan 910.
Lecture: MTW, 9:00 AM - 11:30 AM.
Recitation: Th, 9:00 AM - 11:30 AM.
Office Hours: MW 2:00 PM - 3:00 PM and by appointment.
Delivery Mode: We will use this Zoom link for the lectures, recitations, and office hours.
Course Description: Applications of integration, including areas, volumes, and arc length; techniques of integration such as partial fractions and improper integrals; calculus of parametric curves and polar coordinates; sequences and series, with convergence tests including comparison, integral, alternating series, ratio, and root tests; Taylor and Maclaurin series.
Learning Outcomes: This course provides an introductory exploration of integral calculus and infinite series, helping students build intuition and problem-solving skills by computing areas, volumes, and arc lengths; applying integration techniques; working with parametric and polar curves; and analyzing the convergence of sequences and series, including Taylor and Maclaurin expansions.
Attendance and Course Access: Attendance is not mandatory but strongly recommended. All lecture recordings and handwritten notes will be provided to support your learning. However, during exams, all students must be present on Zoom. Please see the course information for detailed requirements.
Prerequisites: Successful Completion of MATH 161 or MATH 171 with a C- or better is required.
Textbook: Calculus: Early Transcendentals by James Stewart.
Grading: WeBWorK (20%), Midterm I (20%), Midterm II (20%), Final (40%).
See the course information for more details.
Important Dates:
First day of Class: Monday, May 18th.
Midterm I: Thursday, May 28 (2 hours, during recitation hour).
Midterm II: Thursday, June 11 (2 hours during recitation hour).
Final Exam: Monday, June 22 (During class hour, this is also the last day of class).
WeBWorK: A total of 9 sets will be assigned throughout the course. Those will typically be due on Mondays and Thursdays at 11:59 PM. Your lowest individual WeBWorK score will be dropped from the final grade calculation.
Course Timeline: The schedule is tentative and subject to change.
Week 1
• Monday [May 18]: Review of Integrals.
• Tuesday [May 19]: Areas Between Curves.
• Wednesday [May 20]: Volumes.
• Thursday [May 21]: Average Value of a Function to Integration by Parts.
Week 2
• Monday [May 25]: Memorial Day Observed (No Classes). WW 1 due.
• Tuesday [May 26]: Trigonometric Integrals and Trigonometric Substitution.
• Wednesday [May 27]: Partial Fraction Decomposition.
• Thursday [May 28]: Midterm I + WW 2 due.
Week 3
• Monday [June 1]: Improper Integrals and Arc Length WW 3 due.
• Tuesday [June 2]: Area of Surface Revolution I.
• Wednesday [June 3]: Area of Surface Revolution II.
• Thursday [June 4]: Introduction Parametric Curves WW 4 due.
Week 4
• Monday [June 8]: Calculus with Parametric Curves. WW 5 due.
• Tuesday [June 9]: Area and Surface Area using Polar Coordinates.
• Wednesday [June 10]: Review.
• Thursday [June 11]: Midterm II + WW 6 due.
Week 5
• Monday [June 15]: Introduction to Series WW 7 due.
• Tuesday [June 16]: Test of convergence and Divergence and Power Series.
• Wednesday [June 17]: Taylor and Maclaurin Series.
• Thursday [June 18]: Review WW 8 due.
Week 6
• Monday [June 22]: Final + WW 9 due.
Lecture notes: Will be provided here soon.