Faculty Syllabus

MATH-2414 Calculus II

Kate Ryan


Credit Spring 2026

Section(s)

MATH-2414-017 (17790)
LEC TuTh 3:00pm - 4:45pm RRC RRC2 2321.00

Course Requirements

Prerequisites: MATH 2413 with a C or better. This course is the second course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding.  At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: integration, techniques of integration, applications of integration, infinite series and analytical geometry.

Readings

Textbook: Calculus: Early Transcendentals, 3rd Edition by Briggs, Cochran, Gillette, & Schulz. Pearson Publishing (MyLab software) ISBN: 9780134763644

Course Subjects

A standard second course in calculus. Topics include integration of elementary functions; techniques of integration; integrals with infinite limits of integration; integrals of discontinuous integrands; applications of the definite integral; an introduction to differential equations; infinite series; analytical geometry; and other applications.

Student Learning Outcomes/Learning Objectives

Upon successful completion of the course, a student should be able to:

  1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
  2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
  3. Define an improper integral.
  4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
  5. Determine convergence or divergence of sequences and series.
  6. Use Taylor and MacLaurin series to represent functions.
  7. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
  8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
  9. Use parametric equations to graph curves and find areas and lengths.

Office Hours

T Th 10:45 AM - 11:15 AM RRC 8214.03

NOTE

W 11:30 AM - 2:00 PM Online

NOTE

T Th 1:15 PM - 2:15 PM RRC 8214.03

NOTE

M 1:00 PM - 3:00 PM Online

NOTE

Office Hours

T Th 10:45 AM - 11:15 AM RRC 8214.03

NOTE

W 11:30 AM - 2:00 PM Online

NOTE

T Th 1:15 PM - 2:15 PM RRC 8214.03

NOTE

M 1:00 PM - 3:00 PM Online

NOTE

Published: 01/19/2026 14:56:44