1452: Calculus II
Below are some topics that students often struggle with in Calc II.
For each topic, there is a blank worksheet for you to practice. The tutorial videos will explain the topic and work through some examples. We recommend trying to fill in the worksheet while watching the tutorial videos. Worksheet solutions are available, with answers from the tutorial video and practice problems.
In some sections, there are interactive Desmos activities to visualize a topic or match problems with their solutions. You do not need to make an account to use these activities.
Integral Applications
Area Between Curves
Volume by Revolution
Area and Volume Formulas
Polar Coordinates
Work
Integration Methods
Summary of Integration Methods
Integration by Parts
- Worksheet 1: Indefinite Integrals
- Tutorial videos: part 1, part 2
- Worksheet 1 solutions
- Desmos activity: Identifying u and dv
- Worksheet 2: Definite Integrals
Integration with Trig Functions
- Worksheet
- Tutorial videos: part 1, part 2
- Worksheet solutions
Trig Substitution
- Worksheet
- Tutorial videos: part 1, part 2, part 3
- Worksheet solutions
Partial Fraction Decomposition
- Worksheet
- Tutorial videos: part 1, part 2, part 3
- Worksheet solutions
Sequences and Series
Sequences vs. Series
- Worksheet
- Tutorial videos: part 1, part 2
- Worksheet solutions
Types of Series
Series Tests
These resources were created by Alexis Hardesty in Spring 2023, based on Calculus by K. Smith, M. Strauss, and M. Toda, 7th National Edition.
Please note: each instructor might emphasize different material. The topics from your course syllabus may not be the same as the topics we cover here.
Department of Mathematics & Statistics
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Address
Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409-1042 -
Phone
806.742.2566 -
Email
math.dept@ttu.edu