MATH102_NOTES

Calculus II | MATH 102

Instructor: Dr. Mohammed Alshahrani
Email: @mshahrani
Office: Building 5 – Room 201-1
Office Hours:
- In-Person:
  - Sunday at 02:00PM - 02:50PM
  - Tuesday at 02:00PM - 02:50PM
- Also by appointment through TEAMS
Course Website: mshahrani.website
Textbook: : Larson, R. & Edwards, B., Calculus: Early Transcendental Functions, Metric Version, 7th edition, Cengage Learning, Inc., 2019

Lecture Notes: Detailed notes from each lecture, covering fundamental concepts in intergarl calculus, sequences and series.
Course Description: Definite and indefinite integrals of functions of a single variable. Fundamental Theorem of Calculus. Techniques of integration. Hyperbolic functions Applications of the definite integral to area, volume, arc length and surface area. Improper integrals. Sequences and series: convergence tests, integral, comparison, ratio and root tests. Alternating series. Absolute and conditional convergence. Power series. Taylor and Maclaurin series.
Course Learning Outcomes: Upon successful completion of the course, a student should be able to
1. Estimate areas and definite integrals by Riemann sums.
2. Apply the Fundamental Theorem of Calculus.
3. Evaluate integrals using various techniques of integration.
4. Calculate the average value of a function, areas between curves, length of curves, volumes and surface areas of solids of revolutions.
5. Evaluate improper integrals and limits of sequences.
6. Apply convergence tests of series and evaluate sum of some selected convergent series.
7. Find interval and radius of convergence of a power series and express a function as a power series (Taylor and Maclaurin).
  Usage

Feel free to use these notes and resources for your studies or teaching purposes. Contributions and corrections are welcome through pull requests.

For any inquiries or suggestions regarding these materials, please contact @mshahrani.