KFUPM logo

King Fahd University of Petroleum & Minerals

College of Computing and Mathematics

Course Home

MATH102: Calculus II

Core chapter notes, course policy highlights, and textbook information for Calculus II. Use the chapter cards below to go directly to the main content.

Department Department of Mathematics
College College of Computing and Mathematics
Prerequisite MATH101
Credit Hours 4-0-4

Chapter Notes

The chapter links are the primary navigation for the course notes.

Chapter 5 Integration Area, Riemann sums, the Fundamental Theorem of Calculus, substitution, and core integration rules. Chapter 7 Applications of Integration Areas between curves, volume by disks and shells, arc length, and surfaces of revolution. Chapter 8 Integration Techniques and Improper Integrals Integration by parts, trigonometric methods, partial fractions, and improper integrals. Chapter 9 Sequences and Series Convergence tests, power series, and Taylor and Maclaurin series.

Textbook

Calculus: Early Transcendental Functions textbook cover

The course follows the official syllabus text and chapter sequencing from the adopted Calculus II textbook.

Larson, R. & Edwards, B., Calculus: Early Transcendental Functions, Metric Version, 7th edition, Cengage Learning, Inc., 2019.

Learning Outcomes

Based on the course syllabus.

  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).

Grading Policy

Summary of the syllabus grading weights and the class work normalization rule.

  • Exam I70/300 (23.33%)
  • Exam II70/300 (23.33%)
  • Final Exam100/300 (33.34%)
  • Lab Python30/300 (10%)
  • Class Work30/300 (10%)

Class Work Formula

y = 3 * (median(Exam I %) + median(Exam II %)) / 20

Expected interval: [y - 1, y + 1]

If the Exam I median is 72% and the Exam II median is 68%, then y = 3 * (72 + 68) / 20 = 21, so the section classwork average should lie in [20, 22].

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.