Calculus II
Syllabus
You can find the link to the general syllabus and the recitation syllabus below:
General Syllabus
Course Syllabus
Student Help Resources
Mental Health Resources: Click here to find a list of mental health resources available to you at Syracuse University as well as national hotlines. Never hesitate to make use of these services if you need them. If you know someone in distress, say something and be sure to make them aware of these resources.
Mathematics Help Resources: Click here to find Mathematics help offered through the Mathematics Department and click here to find Mathematics help offered through CLASS (Center for Learning and Student Success).
Past Final Exams: Click here to find past MAT 296 final exams.
Handouts
Challenge Integrals: A collection of difficult integrals and series. Solving these problems could result in prizes!
Symbolab: Symbolab is a useful online computational device, which will not only integrate but show steps. This can be a useful study tool, but be careful how you use it!
WolframAlpha: WolframAlpha is a useful online computation device. WolframAlpha takes written commands, interprets the input, and performs the computations. WolframAlpha is an online ‘watered down’ version of Mathematica, which at this time is offered to Syracuse University students for free! However, WolframAlpha will take many Mathematica commands, as I outline in this document.
Reference Tables: I created a reference table which is not just useful for Calculus, but most of the more applied mathematics courses you could take as an undergraduate.
Volumes of Rotation: Problems Solutions
Series Problems: Problems Solutions
Lecture Problems
Lecture 1: Calculus I Review
Lecture 2: $u$-sub
Lecture 3: $u$-sub
Lecture 4: Integration by Parts
Lecture 5: Trigonometric Integrals
Lecture 6: Arclength, Area, Volume
Lecture 7: Trig Sub
Lecture 8: Partial Fractions
Lecture 9: Improper Integrals
Lecture 10: Applications
Lecture 11: Sequences & Series
Lecture 12: Geometric & Telescoping Series
Lecture 13: Integral & $p$-test
Lecture 14: Comparison Tests
Lecture 15: Alternating Series
Lecture 16: Ratio & Root Test
Lecture 17: Power Series
Lecture 18: Taylor Series
Lecture 19: Polar Coordinates
Quizzes
Review Quiz: Problems Solutions
Quiz 1 — $u$-sub: Problems Solutions
Quiz 2 — Integration by Parts: Problems Solutions
Quiz 3 — Trigonometric Integrals: Problems Solutions
Quiz 4 — Area & Arclength: Problems Solutions
Quiz 5 — Trig Sub: Problems Solutions
Quiz 6 — Partial Fractions: Problems Solutions
Quiz 7 — Work: Problems Solutions
Quiz 8 — Improper Integrals: Problems Solutions
Quiz 9 — Series: Problems Series
Quiz 10 — Series Tests: Problems Solutions
Quiz 11 — Series Tests: Problems Solutions
Quiz 12 — Series Tests: Problems Solutions
Quiz 13 — Power Series: Problems Solutions
Quiz 14 — Taylor Series: Problems Solutions
Quiz 15 — Polar Area: Problems Solutions
* Click here to read more about the Futurama bonus problem I gave. However, not everything said on this website is correct either.